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. 2022 Feb 11;12(2):253. doi: 10.3390/brainsci12020253

Frequency Fitting Optimization Using Evolutionary Algorithm in Cochlear Implant Users with Bimodal Binaural Hearing

Alexis Saadoun 1, Antoine Schein 1, Vincent Péan 2, Pierrick Legrand 3, Ludwig Serge Aho Glélé 4, Alexis Bozorg Grayeli 1,5,*
Editor: Pierluigi Zoccolotti
PMCID: PMC8870060  PMID: 35204015

Abstract

Optimizing hearing in patients with a unilateral cochlear implant (CI) and contralateral acoustic hearing is a challenge. Evolutionary algorithms (EA) can explore a large set of potential solutions in a stochastic manner to approach the optimum of a minimization problem. The objective of this study was to develop and evaluate an EA-based protocol to modify the default frequency settings of a MAP (fMAP) of the CI in patients with bimodal hearing. Methods: This monocentric prospective study included 27 adult CI users (with post-lingual deafness and contralateral functional hearing). A fitting program based on EA was developed to approach the best fMAP. Generated fMAPs were tested by speech recognition (word recognition score, WRS) in noise and free-field-like conditions. By combining these first fMAPs and adding some random changes, a total of 13 fMAPs over 3 generations were produced. Participants were evaluated before and 45 to 60 days after the fitting by WRS in noise and questionnaires on global sound quality and music perception in bimodal binaural conditions. Results: WRS in noise improved with the EA-based fitting in comparison to the default fMAP (41.67 ± 9.70% versus 64.63 ± 16.34%, respectively, p = 0.0001, signed-rank test). The global sound quality and music perception were also improved, as judged by ratings on questionnaires and scales. Finally, most patients chose to keep the new fitting definitively. Conclusions: By modifying the default fMAPs, the EA improved the speech discrimination in noise and the sound quality in bimodal binaural conditions.

Keywords: cochlear implant, binaural hearing, speech discrimination in noise, quality of life, evolutionary algorithm, fitting

1. Introduction

Stereophony is based on combining information in the brain from the two ears. The brain makes use of many different cues to determine the 3D characteristics of an auditory landscape [1]. Their complete combination is required for stereophony to be achieved, but access to only some bilateral cues may still generate substantial benefits.

Advantages of binaural stimulation, as opposed to monaural hearing, are (1) redundancy (summation effect) which enhances the signal detection; (2) localization of the sound-source (in the horizontal plane) based on inter-aural time differences (ITD) and level differences (ILD); and (3) improved speech discrimination in noise when signal and noise are spatially separated (squelch effect).

Moreover, with binaural hearing, the head-shadow increases the signal-to-noise ratio at the farthest ear from the noise (as the head attenuates the noise), while this ratio decreases at the nearest ear to the noise source.

Bimodal binaural hearing refers to the use of a cochlear implant (CI) in one ear in combination with a functional acoustic hearing with or without a hearing aid (HA) on the contralateral side. This association provides adults and children with improved speech perception in quiet and in noise, better music perception, auditory comfort, higher sound quality, enhanced sound localization, and as a result, a better quality of life in comparison to unilateral CI [2,3,4,5]. The improvements are related to the integration of the electric hearing, offering auditory information in a relatively broad frequency range (between 0.07 and 8.5 kHz depending on the brand), and the contralateral acoustic input offering the acoustic fine-structure cues. In addition, bimodal hearing reduces the head-shadow effect due to single-sided deafness (SSD) and restores the binaural squelch and summation effects to some extent [3,6].

However, there is great variability in the integration process; while some bimodal users show substantial benefit, others receive little or no advantage.

This variability could be due to the characteristics of the individual listeners (neural survival, current spread, duration of deafness, lack of cortical plasticity), to different processing times between CI and contralateral HA or NH ear [7], to frequency mismatch between the CI and the contralateral HA or NH ear [8], or differences between automatic gain control (AGC) of the CI and the HA [9]. The latter three parameters could be rectifiable via signal processing and/or mapping [10].

Some patients experience even bimodal interference and report better hearing with one of the ears [11,12,13,14,15]. The possibility of this interference is further supported by the observation that in patients with bimodal binaural hearing, the deactivation of apical CI electrodes coding for frequencies perceived by the aided contralateral ear produces a more natural and less metallic sound without reducing the word discrimination in quiet and in noise [16]. In this case, binaural interactions were apparently improved by suppressing the temporal and/or frequency mismatch in the low frequencies at the cost of reduced cochlear implant performance.

Alternatively, binaural interactions could be improved through frequency band adjustments without electrode deactivation [10], or through adjustment of the temporal processing between the CI and the contralateral HA or ear [7,17].

The facility to obtain the bimodal integration appears to influence the auditory outcome [18]. Apart from patient-related factors, such as deprivation duration or a number of functional channels in the implanted ear, device-dependent factors, such as the asynchronous CI and acoustic inputs, different sound preprocessing strategies in the CI and the HA, or loudness and pitch mismatches can affect the speed and the quality of this integration [18].

Based on these findings, an improvement of the spatial CI coding, which relies on the cochlear tonotopy, could theoretically improve the binaural integration. The Greenwood map offers a relatively precise function describing the physiological place-frequency relation in the human cochlea [19]. With CI, the place-frequency function is different from the physiological cochlear tonotopy and a high inter-individual variability exists since the coverage of the cochlear duct by the electrode array is partial and variable. With time and training, a tolerance to the shift between the electric and acoustic stimuli in terms of temporal and spatial coding appears [18]. In many implantees, a perceptual fusion is observed for two sounds with very different pitches presented simultaneously to both ears [20,21].

In a standard CI fitting, the default frequency allocations to active electrodes are not modified and only the sensation of loudness is adjusted [22,23]. Modifying the frequency allocations may improve speech discrimination and music perception [18,24,25], but this type of fitting would involve too many parameters and is not practiced in routine [26]. Moreover, its effect on bimodal binaural patients has not been reported to our knowledge.

We hypothesized that reallocating the frequency bands in the CI would lead to a better fusion of the central binaural information, an improved hearing in noise, and a higher sound quality in bimodal binaural conditions. Binaural redundancy is one of the binaural advantages that could be addressed with bimodal rehabilitation. Binaural redundancy could increase loudness via binaural summation but could also improve the detection threshold and frequency differences, and as a result, the speech recognition in noise [1]. Adults who use bimodal hearing devices seem to benefit from the binaural redundancy [3,12,27] but not always [28]. An inter-aural mismatch may significantly limit this effect. In NH subjects listening to bilateral CI simulations with varying virtual electrode positions [29], the maximum binaural summation benefit for speech in quiet and in noise was observed when the inter-aural mismatch of the virtual electrode positions was ≤1 mm.

Moreover, inter-aural mismatch has also been shown to limit speech understanding in noise when signal and noise are spatially separated [10,30]. This is due to distortions of ITD and ILD [31,32].

A place-matched frequency mapping based on electrode location could be hampered by the difficulty to determine the amount of neural survival or local electric stimulation interactions in the cochlea for an individual [10,33]. ITD was used to evaluate inter-aural place mismatch [31,33] and the results were close in accordance with CT scan estimates, but the studies were limited to SSD and bilateral CI patients. No study has been carried out with bimodal patients with CI and contralateral HA.

In the bimodal context, patients wear a HA on the contralateral ear with various signal processing programs (number of channels, frequency bandwidths, etc.). Since the number of fitting combinations is very high, artificial intelligence can be employed to search this vast domain for the best solution.

Evolutionary algorithms (EA) are a family of algorithms inspired by Darwin’s theory of evolution [34,35]. Initial individuals, represented in our case by the set of frequency ranges for all electrodes (fMAPs), are submitted to the constraint of the environment (i.e., audiometric scores). Their adaptation, stochastic mixing of their genes (i.e., frequency band allocations), and the possibility of mutation (stochastic changes in the fMAP) yield offspring (new fMAPs) generation after generation (iterations). Each fMAP is submitted to an evaluation by a speech audiometric test in noise to obtain a score for each fMAP, represented by a word recognition score (WRS) out of ten. Based on this score, the best solutions are selected and combined to obtain more performant fMAPs. These algorithms provide a wide exploration of solutions in a predefined domain that could not otherwise be conducted in a timely fashion, even by an expert [36]. By comparison, the existing deterministic and probabilistic algorithms, such as the one used in the only computer-based fitting aid, the Fitting to Outcome Expert (FOX) system, tend to modify the settings to approach an ideal situation with predefined parameters (T- and M-levels, gains, [37,38]). Moreover, the frequency bands are not considered as a parameter [38].

The objective of the present study was to develop and evaluate a fitting protocol based on the CI frequency reallocation for bimodal binaural CI users with different CI brands using an interactive EA method.

2. Materials and Methods

2.1. Participants

Twenty-seven adults (10 men, 17 women) volunteered to participate in this monocentric and prospective study. All participants were unilateral CI users for a minimum of 6 months with functional contralateral hearing (normal hearing or HA). Their mean age was 58 ± 16.7 years (median: 64, range: 20–80 years). The average duration of the deafness before CI was 23.5 ± 15.8 years (median: 19, range: 1–55 years). In the implanted ear, patients wore various brands of CIs and coding strategies. In the contralateral ear, 23 participants wore a behind-the-ear HA which was fitted with a NAL-NL1 protocol and checked by their audiologist within the 3-month period before inclusion. Three participants had contralateral normal hearing (Table 1).

Table 1.

Patient characteristics.

ID# Etiology Hearing Deprivation on Implanted Ear (Years) Implant Coding Contralateral Hearing Aid
1 Otosclerosis 55 MED-EL FS4 [39] Chili SP7, Oticon
2 Congenital 28 MED-EL FS4 Legend 1786, Beltone
3 Congenital 38 COCHLEAR ACE [40] Naida Q70-SP, Phonak
4 Ménière 17 COCHLEAR ACE Cobalt 8+, Rexton
5 Congenital 23 MED-EL HDCIS [41] Normal
6 Congenital 43 OTICON Crystalis XDP [42] Nitro 7MI SP, Siemens
7 Congenital 34 COCHLEAR ACE Ambra SP, Phonak
8 Sudden SNHL 1 AB HiRes Optima [43] Insio 5bX, Siemens
9 Idiopathic 16 AB HiRes Optima UPSmart988 GN Resound
10 Lobstein’s disease 42 COCHLEAR ACE PHONAK Naida Q50 SP
11 Congenital 39 COCHLEAR ACE Siemens Signia Orion 2312
12 Sudden SNHL 18 MED-EL FS4 Widex Moment
13 Congenital 20 COCHLEAR ACE Siemens Pure 500
14 Sudden SNHL 30 COCHLEAR ACE Phonak Naida V90 UP
15 Sudden SNHL 13 MED-EL FS4 Starkey Livio 2400
16 Otosclerosis 2 MED-EL FS4 Normal
17 Otosclerosis 7 COCHLEAR ACE Phonak Audeo B50 R
18 Neurofibromatosis type 2 19 MED-EL FS4 Phonak Naida Q70 SP
19 Chronic otitis media 42 MED-EL FS4 No hearing aid
20 Perilymphatic fistula 2 COCHLEAR ACE Siemens Rexton Strata 2
21 Perilymphatic fistula 9 COCHLEAR ACE Normal
22 Chronic otitis media 50 MED-EL FS4 Siemens Motion XS
23 Congenital 32 COCHLEAR ACE Gn Hearing Resound Alera 7
24 Ménière 2 COCHLEAR ACE Belton Identity 86D
25 Meningitis 30 MED-EL FS4 Siemens Signia Pure 312
26 Ménière 17 MED-EL FS4 Starkey Resound
27 Sudden SNHL 5 COCHLEAR ACE Belton Identity 66D

2.2. Experimental Setup

At inclusion, the clinical and audiometric data were obtained, and each CI was fitted with an fMAP based on the EA. Other fMAPs already available on the processor were left unmodified. Participants were asked to use the EA-based fMAP as much as possible, but they were free to switch to their usual fMAPs ad lib. The second session was conducted 45 to 60 days later. Patients were again evaluated with a pure-tone, speech recognition test in quiet and noise in free-field-like conditions and questionnaires. The main criterion of the study was the improvement of the word recognition score (WRS) in noise with EA-based fMAP.

2.3. Audiometry

All evaluations were performed in the bimodal binaural condition in an audiometry booth with a calibrated audiometer (AC40®, Interacoustics, Middelfart, Denmark). The signal was delivered by a loudspeaker (Planet M, Elipson, Champigny, France) placed at the level of the head 1 m in front of the participant.

French Fournier lists were used for the speech audiometry in this study [44].

At the initial and the final evaluation, the audiometry tests included:

  • A pure-tone audiometry in free-field-like condition;

  • A speech recognition test in quiet with monosyllabic words providing the WRS in quiet;

  • A speech recognition test in noise: both signal and noise (white noise at 60 dB SPL) were delivered by the same loudspeaker;

  • In a preliminary trial with different lists of 20 words, the signal-to-noise ratio (SNR) was individually adapted (−7, 0, +5, or +10 dB) to obtain a percentage of WRS between 3/10 and 7/10. Every patient kept its individually adapted SNR at the same level through the follow-up. Two series of words were also administered for the initial and the final evaluations.

During the EA-based fitting, each generated fMAP was tested with a different series of 10 words to obtain a WRS in noise out of ten at the same level of SNR used for the evaluations.

No feedback was provided during speech recognition tests.

The improvement of the WRS in noise on 20 words at the initial and at the final evaluation was the main judgment criterion of the study.

2.4. Questionnaires

We also asked the participants to complete a quality-of-hearing questionnaire, APHAB (Abbreviated Profile of Hearing Aid Benefit) in its French version related to their handicap before and after the new CI fitting [45]. The questionnaire includes 24 questions on different everyday-life situations related to hearing function. They are divided into 4 categories: Ease of Communication (EC), Reverberation (RV), Background Noise (BN, communication in environments with high background noise), and Aversiveness (AV). It provides a global score and 4 subdomain scores. The Hearing Implant Sound Quality Index score (HISQUI19, [46]) comprises 19 questions on the sound quality perceived by the CI. Scores range from 19 (poor) to 133 points (excellent). In addition, a shortened Munich Music questionnaire (MMQ) [47] was administered including categorical ratings of “metallic”, “clear”, “pleasant”, and “natural” qualities of the musical sounds plus the following questions with forced categorical responses: How long do you listen to music since the last CI fitting? (<30 min/30–60 min/60–120 min/ >120 min); Can you distinguish between high and low notes? (Yes/no); Do you normally feed music directly into your speech processor? (Yes/no). Finally, patients rated the global sound quality by a Likert scale (natural sound and voices, auditory comfort in silence and in noise; scores ranging from 1, “not at all” to 5, “totally agree”).

2.5. Frequency Reallocation with the Evolutionary Algorithm

Evolutionary algorithms are calculation methods based on biological evolution. Among this family of algorithms, the most popular are genetic algorithms [48,49,50,51,52,53]. In this paper, we propose a hybrid algorithm at the intersection of a genetic algorithm and an evolutionary strategy. Indeed, we will manipulate real values and apply Gaussian mutations derived from evolutionary strategies, but we will also perform locus type crossovers, which are usually used in genetic algorithms. Finally, since the evaluation step is carried out without a mathematical evaluation function, but only based on the hearing test results, we consider this approach as an interactive evolutionary algorithm.

The general idea is to bring changes to a set of solutions in the optics of improving them by gradual changes and the assessment of the effects of these changes. During this process, the initial values can be changed randomly in a predefined range, especially to generate the initial set of solutions (parents). Later, limited random changes are also introduced in the process to create new solutions (crossover and mutations). This characteristic classes the evolutionary algorithms as stochastic [54]. This algorithm employs alternatively, the mathematical operators of initiation, evaluation, variation (by combination and mutation), selection, and replacement. Solutions (fMAPs in our study) are generated by combining the parent solutions based on their performance (speech recognition test in noise). Mathematically, the algorithm attempts to find the shortest way to the highest performance. It considers the previous combinations and their results to propose new solutions.

The general procedure was as follows (Figure 1 and Figure 2):

  1. Input default settings to define the boundaries of the exploration space: exploration domain for each band was set at the lower limit of the same band (fLOW) to 1.2 times the upper limit (1.2 × fHIGH);

  2. Random generation of an initial population in the range allowed for each electrode: 4 parents (i.e., 4 fMAPs P1, P2, P3, P4);

  3. Evaluation of P1 to P4 by speech recognition in noise. Each fMAP obtains a score: SP1, SP2, SP3, SP4;

  4. Input SP1 to 4;

  5. Evolutionary loop, until stop-criteria (number of generations = 3 in our study):
    • Generation of children (3 individuals, first loop: C1, C2, C3);
    • Selection of 2 individuals among the previous generation by tournament: Two individuals of the previous generation are randomly selected; the one with the highest probability is chosen. The previous process is repeated. In this way, two individuals are finally selected;
    • Crossover: combining electrode settings from 2 parent fMAPs to obtain a child;
    • Gaussian mutation: mutations can be applied to fLOW and fHIGH with a probability Pm in the predefined range;
    • Evaluation of the 3 children by WRS yielding scores SCn (first loop: SC1, SC2, SC3);
    • Input SCn;
    • Selection of 4 individuals with the highest WRS among all generated individuals (for the first loop: 7 fMAPS, P1 to P4, and C1 to C3).
  6. Output: The best fMAP (highest WRS) obtained during the evolutionary process.

Figure 1.

Figure 1

Frequency MAP fitting by an evolutionary algorithm (EA). An example with 5 electrodes (e1 to e5) for an MED-EL device is presented. The initial frequency intervals (fLOW and fHIGH in Hz) and the exploration domains for fHIGH (upper limit of each frequency band) by the algorithm are shown. The fLOW was set equal to fHIGH of the previous electrode to avoid discontinuity and overlap.

Figure 2.

Figure 2

The process of parent and children generation is shown through an example of an MED-EL CI with 5 electrodes. Scores are obtained by speech recognition in noise in a binaural free-field-like condition. * In the case of a tie, the first selected individual is retained (fHIGH mutation $).

The algorithm was developed using MATLAB (2016a version, MathWorks, Natick, MA, USA) as described before [35]. In this algorithm, each fMAP represented an individual. The default fMAP (factory settings) was used to define the initial frequency bands. Initial fMAPs were generated by EA-based on these initial values. For a new fMAP, the upper limit of each frequency band (fHIGH) was determined by the EA in an exploration domain ranging from the lower limit of the same band (fLOW) to 1.2 × fHIGH (Figure 1).

Discontinuities and overlaps in the frequency domain were not permitted. Consequently, The fLOW of each frequency band was set equal to the fHIGH of the previous band. Larger values of overlapping and mutation probability would have created a total disruption of the original fMAP, requiring longer adaptation periods, a larger exploration domain with more generations, and longer tests. With these constraints, the default fMAP generated a random initial population of 4 parent fMAPs (Figure 2).

Each new fMAP was evaluated by WRS in noise (/10) and the result was fed to the algorithm. Two parent MAPs were randomly selected using a tournament selection. The best fMAP (based on WRS) became the first parent and the repetition of the same procedure produced the second parent. These two parents generated a child fMAP by combining their frequency bands (crossover) and applying mutations. During the combination, a variable proportion of the available frequency bands from one parent were combined with those from the second parent to form a new set of frequency bands for the offspring. The combination process did not modify the upper and lower frequency band limits. For the generation of child-fMAPs mutation was applied.

During a mutation, the upper-frequency band limit was modified in a stochastic manner. This modification was limited to the exploration domain [fLOW, 1.2 × fHIGH]. The mutation probability for a frequency band in each generated fMAP was set at 0.2, with a standard deviation of 0.1 × frequency band width (Gaussian mutation). The tournament selection was repeated 2 more times to generate 2 other couples of parent MAPs. For these selections, a sampling with replacement strategy was employed. Crossbreeding of each couple produced a child fMAP. Hence, the first generation of 3 child-fMAPs was created and tested by WRS in noise. To create the second generation, 4 parents were selected from 7 already generated fMAPs (4 parents and 3 children). The selection and crossbreeding generated 3 children for the second generation. Finally, for the third generation, 4 parents were selected from 10 generated fMAPs (4 parents and 6 children), and 3 children were obtained. The process was stopped after 3 generations. In total, 13 fMAPs including 4 parents and 9 children over 3 generations, were produced. In the end, the fMAP with the highest WRS was selected. In the case of 2 fMAPs with the same score, the one preferred by the patient based on sound quality was selected. This algorithm differed from the general scheme by the fact that the optimization cycle was halted after 3 generations, and not when an optimization criterion was reached. This specificity was imposed by the length of the procedure and the necessity of multiple speech audiometries, which could not be increased indefinitely.

2.6. Fitting Software Programs

BEPS+ research software (Advanced Bionics Research Center, Hannover, Germany) was used for frequency allocation in Advanced Bionics CIs. For all other CIs, routine clinical software was used. The minimal frequency fitting step was 1 Hz for MED-EL and Cochlear CIs, 62 Hz for Advanced Bionics CIs, and 131 Hz for the Oticon Medical CI. For Advanced Bionics and Oticon CIs, the closest frequency increments to the provided fMAP were selected. The minimum frequency band width was 62 Hz for Advanced Bionics and Cochlear CIs, 1 Hz for MED-EL CIs, and 131 Hz for the Oticon Medical CI. These values are obligatory and inherent to the fitting software, the coding strategy, or both.

2.7. Determination of Greenwood Frequency MAP in Individual Cochleae

The postoperative CT scans were analyzed with Osirix (V4, Pixmeo, Geneva, Switzerland). The length of the cochlea from the round window (RW) to the apex and the position of each electrode from the apex were measured in millimeters (Figure 3). A tridimensional curved multiplanar reconstruction was created. The relative position of each electrode to the apex was expressed as the ratio of the distance between the electrode and the RW to the estimated length of the basilar membrane (in mm). The Greenwood equation was then applied to determine the corresponding tonotopic frequency [19]: F = 165.4 (102.1X − 0.88) where F is the frequency (Hz) and X is the relative distance of the electrode from the round window (distance from round window/entire length of the basilar membrane).

Figure 3.

Figure 3

Postoperative CT scans analysis and reconstruction: (a) Oblique view of the cochlea on a multiplanar reconstruction (MPR) with minimal intensity projection showed the full length of the electrode array; (b) A reconstruction of the image (a) in a curvilinear plane unfolded the cochlear spiral; The relative distance of each electrode to the round window (RW) was measured. Since the electrodes are not on the same plane, they cannot be all visualized on the MPR.

2.8. Statistics

Power calculations were carried out by G*Power (v. 1.3.6.9, Heinrich Heine Universität Düsseldorf, Düsseldorf, Germany, [55]). Based on reported studies on speech discrimination in noise in bimodal binaural patients, the inter-individual performance variability was estimated as 20% and a 15% variation of the WRS after EA-based fitting was anticipated. With β = 0.05, and α = 0.05, and for a two-tailed non-parametric paired comparison, 27 participants were required. All patients were included in an intention-to-treat analysis.

Statistical tests were conducted on Prism, version 8, GraphPad Software, San Diego, CA, USA, 2018. Paired comparisons of continuous variables with non-normal distributions were analyzed by Wilcoxon signed-rank test, and the results were expressed as mean ± standard error of mean, median, and range. ANOVA or mixed-model analysis were employed to compare center frequencies deduced from EA to those obtained from the Greenwood MAPs and the manufacturer’s default settings. Their normal distribution was verified by D’Agostino and Pearson’s test. The results were expressed as mean ± standard error of mean. A p-value < 0.05 was considered significant.

3. Results

All 27 participants performed the first and the second evaluation sessions and fully completed all evaluation steps. The average duration of the fitting session was 135 ± 30 min. Subjects 2 and 4 (Table 1) did not accept to finish the fitting due to the duration of the test: subject 2 completed the procedure up to the first fMAP of the second generation (8 fMAPs in total) and subject 4 completed the second fMAP of the first generation (6 fMAPs). In patients with MED-EL CIs, the most basal electrodes were deactivated because of a high impedance (patient 1 and 2: electrodes #12, patient 16: electrodes #11 and #12) or a vestibular response (patient 5: electrode #12). For subject 6 (Oticon Medical), the 3 most apical electrodes were deactivated during the first postoperative months because of unpleasant sounds. For the patient with Cochlear CIs, electrode #15 was deactivated because of high impedance (patient 10), and electrodes #1-5 were deactivated because of a vestibular response or no response (Patient 27). The fMAP proposed by the EA excluded the deactivated electrodes as a precondition.

3.1. Frequency Band Adjustments with Evolutionary Algorithm

The algorithm suggested a different frequency allocation per electrode than the default setting. The EA yielded an enlargement of the bands in the low frequencies (4 most apical electrodes, Figure 3). Moreover, the EA shifted the center frequencies (Fc) of these apical electrodes toward higher values regardless of CI brand or the number of available electrodes (Figure 4).

Figure 4.

Figure 4

Effect of evolutionary algorithm (EA) after mutations and evolutions on frequency bandwidth, and center frequencies for the 4 most apical electrodes (electrode 1 representing the most apical as in MED-EL and Advanced Bionics CIs). Values are expressed as mean ± standard error of mean (n = 27). * p < 0.05 for the effect of EA on band width, and *** p < 0.001 for the effect of EA on center frequencies; in both analyses, p < 0.001 for the effect of electrode number and no significant interaction, two-way ANOVA.

In patients with Cochlear or Advanced Bionics CIs, several frequency bands were dramatically narrowed while the bands allocated to the neighboring electrodes were significantly widened, suggesting the detection and the resolution of channel interferences (e.g., electrode 16 in patient 3, Appendix A).

A postoperative CT scan was available for 15 patients (6 MED-EL, 2 Advanced Bionics, and 7 Cochlear). The center frequencies deduced from the Greenwood map were compared to those from the EA and the default fMAPs (Figure 5, Appendix B). Both EA-based and default fMAPs yielded lower center frequencies than the Greenwood map.

Figure 5.

Figure 5

Center frequencies of electrodes according to the Greenwood map calculated on the postoperative CT scan, the default setting, and the evolutionary algorithm (EA) in Cochlear ® (A, n = 7), MED-EL ® (B, n = 6) and Advanced bionics ® (C, n = 2) cochlear implants. Values are expressed as mean ± standard error of mean. For Advanced Bionic (panel C), individual values are depicted. Center frequencies according to the Greenwood map differed from default and EA settings. *** p < 0.001 for the effects of settings, electrode position, and interaction in all 3 brands, two-way ANOVA.

3.2. Audiometry

The best fMAP was not always obtained at the last generation (Table 2). In 6 patients, the first generation of fMAPs (parents), which were generated randomly in the predefined domain, yielded the best results. In the remaining cases, the best fMAP was among the first (n = 7), the second (n = 6), or the third (n = 8) generations. In 9 patients, several fMAPs yielded the same optimal WRS (patients 2–4, 8, 9, 11, 20, 21, 24). In these cases, the patient chose the fMAP among those with the highest WRS based on subjective quality of sound.

Table 2.

WRS for each fMAP generated by the evolutionary algorithm (P1–4 and C1–C9). Asterisk indicates the selected final fMAP. Initial and final WRS (45–60 days after fitting) were tested by 20 words and intermediate WRS by 10 words. All were expressed as a score out of ten. All tests were conducted at the same signal/noise ratio (SNR). Minus sign (-): the patient was not willing to test the fMAPs and abandoned the procedure.

Patient Number Initial WRS SNR (dB HL) Parents 1st Generation 2nd Generation 3rd Generation Final WRS
P1 P2 P3 P4 C1 C2 C3 C4 C5 C6 C7 C8 C9
1 4 10 6 8 6 6 8 6 9 * 6 7 7 7 6 7 9
2 5 5 7 6 10 * 9 4 6 10 9 - - - - - 6.5
3 4 10 6 4 5 5 5 5 6 8 * 7 8 8 8 6 7.5
4 4 0 5 3 5 6 6 * 4 - - - - - - - 6
5 4 −7 4 4 5 8 6 7 6 5 5 9 * 7 6 8 8
6 5 10 0 2 4 5 2 3 4 5 6 * 5 4 0 5 5
7 3 5 4 7 6 7 5 7 9 * 6 8 4 7 6 7 7.5
8 5.5 5 7 5 6 7 4 5 5 7 5 6 7 * 6 6 7.5
9 5 10 4 6 8 * 5 5 6 6 7 8 7 7 6 5 7.5
10 3 10 2 4 2 3 5 4 5 3 5 4 3 4 9 * 2
11 6 10 6 9 7 5 5 6 8 6 8 8 8 9 * 6 8
12 6 −5 5 4 3 5 7 6 7 4 4 7 4 5 8 * 7
13 3 0 6 2 5 5 4 7 6 2 6 7 4 6 8 * 7
14 3 0 4 8 * 6 2 4 3 6 2 4 3 6 5 5 8
15 4 −5 5 2 4 6 8 * 4 3 7 5 4 1 4 4 7
16 4 −10 5 4 1 2 3 4 6 * 4 5 4 2 3 5 7
17 5 −5 3 5 8 * 3 4 4 5 1 3 7 3 3 2 7
18 4 −5 4 6 * 2 5 2 2 3 5 1 5 5 4 5 7
19 3 −5 3 5 4 4 8 * 4 3 5 5 4 3 5 5 6
20 5 −10 1 1 1 1 7 7 * 4 5 5 7 5 6 5 5
21 4 0 2 5 2 2 3 4 4 2 3 2 5 5 * 4 3
22 3 0 7 * 3 5 5 6 5 4 4 4 2 2 6 6 7
23 3 10 4 2 4 2 1 3 7 8 * 2 4 5 1 4 7
24 5 0 3 5 7 3 3 2 4 3 4 6 7 * 3 2 6
25 5 0 4 1 3 4 5 4 3 3 6 * 4 4 1 1 3
26 3 0 4 3 5 4 2 6 6 4 3 2 4 7 * 4 6
27 4 −5 2 3 3 4 5 3 3 6 * 4 1 4 5 5 7

At the final evaluation, WRS in noise was significantly improved with EA (4.17 ± 0.97, median: 3.5, range: 2–5, with the default fMAP versus 6.46 ± 1.63, median: 7, range: 2–9 with the EA-based fMAP, n = 27, p = 0.0001, Wilcoxon sign-ranked test). The duration of hearing deprivation was not correlated to the initial or the final WRS (linear regression test, not significant, data not shown). At the final evaluation, the WRS in quiet remained unchanged (9.04 ± 2.01 initially, median: 10, range: 2–10 versus 9.22 ± 1.76, median 10, range 3–10 at the final test, n = 27, non-significant, Wilcoxon sign-ranked test). Similarly, the EA-based fitting did not alter the pure-tone average in the free-field-like condition (20.9 ± 9.4 dB HL, median: 20, range: 1.3–47.5, for the initial fitting versus 19 ± 7.2 dB, median 20, range: 1.3–32.5 at the final test, n = 27, non-significant, Wilcoxon sign-ranked test).

3.3. APHAB Questionnaire

The quality of hearing, as assessed by APHAB, was significantly improved (50.4 ± 16.6, median: 55.5, range: 24.1–73.2, for the global score before versus 43.5 ± 16.8, median: 46.6, range: 10.2–66.6, after the EA fitting, n = 27, p = 0.002 Wilcoxon sign-ranked test). The quality of hearing was also significantly improved in EC, RV, and BN APHAB subdomains (Figure 6).

Figure 6.

Figure 6

APHAB questionnaire scores with default and evolutionary algorithm settings. Values are expressed as mean ± standard error of mean. *** p < 0.001 versus default for the global score, Wilcoxon signed-rank test. $$$ p < 0.001 for the effect of setting, and p < 0.01 for the effect of APHAB ranges, no significant interaction, 2-way ANOVA. EC = ease of communication, RV = reverberation, BN = background noise, AV = aversiveness.

3.4. HISQUI Questionnaire

The quality of hearing, as assessed by HISQUI, was significantly improved (72.2 ± 17.7, median: 70, range: 44–116 before versus 77.9 ± 21.5, median: 75, range: 45–121, after the EA fitting, n = 27, p = 0.034 Wilcoxon sign-ranked test).

3.5. Global Evaluation of the Sound Quality and Music Perception

The music perception quality as evaluated by the MMQ rating, as well as the global sound quality, did not change, as judged by the Likert scale (Figure 7). Where 23 out of 27 participants (85%) preferred the new EA-based fitting to their previous fitting by the expert and chose to keep it after the study.

Figure 7.

Figure 7

Global evaluation of the sound quality and music perception with default and evolutionary algorithm settings. Values are expressed as mean ± standard error of mean. There is no significant effect of fitting on any item (Wilcoxon signed-rank test).

4. Discussion

Optimizing the fitting in CI users with bimodal binaural hearing can be challenging due to a high number of fitting parameters and combinations. We showed that the frequency band distribution by EA improves not only speech discrimination in noise but also the hearing-related quality of hearing, as judged by APHAB and HISQUI questionnaires. The EA-based fitting resulted in a widening of the frequency bands in the low frequencies and a global shift to higher frequencies than those proposed in the default setting, even farther from the original cochlear tonotopy. There were also individual alterations to the default fMAP, presumably depending on specific electrode nerve interactions. Neural survival and current spread could be reflected by these individual alterations because the measures used for the EA were evaluated directly on the patient and were dependent on its extrinsic characteristics [10]. The method was applicable to all different CI brands.

Speech recognition in noise is probably the most challenging and also one of the most relevant tasks for patients with hearing loss [2]. In case of bimodal or SSD patients, the intersubject variability for binaural results are very large [8]. Wess et al. proposed several possible explanations possible for this variability: (1) intrisinc characteristics of the individual listeners (neural survival, current spread, duration of deafness, lack of cortical plasticity) that cannot be addressed through signal processing; (2) extrinsic distorsions rectifiable via signal processing and/or mapping procedures including different processing times between CI and contralateral HA or NH ear and frequency mismatch between the CI and the contralateral HA or NH ear [10]. For example Zirn et al. [56] and Angermeier et al. [17] showed that sound Localization in Bimodal Listeners could be improved instantaneously when the device delay mismatch (between CI and contralateral HA) was reduced.

Binaural interaction in noisy conditions has been studied by simulating a CI in single-sided deafness [57]. This was obtained by delivering a vocoded speech with variable degrees of mismatch in one ear of eight normal-hearing individuals and evaluating the speech audiometry in noise. The authors show that binaural performances are similar or significantly better than the normal-hearing ear in all cases. Furthermore, in challenging conditions (speech-shaped noise) where the normal ear performance is constrained to the level of the CI performance, a frequency mismatch further degrades the performances, probably by disrupting the binaural interactions. These observations suggest that, in patients with bimodal hearing, reducing the pitch perception mismatch between the CI and the acoustic inputs might enhance hearing in noisy conditions [57].

Even in patients with single-sided deafness (SSD), the contribution of the CI to auditory performances is significant [58,59]. CI decreases the head-shadow effect [58]; increases speech understanding in noise, even in the S0N0 condition (frontal signal and noise) [58,60]; enhances the sound-source localization [58,61]; and improves the patient-reported outcome [62]. In our patients with SSD (patient number 5, 16, and 21), optimization also showed a significant improvement in speech discrimination, except for patient 21 who still felt a subjective improvement with EA fMAP and thus, finally chose it. In line with previous reports, this observation supports the idea that optimized binaural interactions increase performance even with one normal ear.

The idea behind the change in the frequency bands was to optimize the correspondence between the ears and the binaural hearing. Testing these patients in a monaural condition would have probably provided additional interesting data. By reducing channel interactions or by a better correspondence between frequency allocations and functional channels, the EA-based fMAP could also improve monaural hearing.

In a theoretical approach, many have attempted to address the issue of binaural optimization by restoring the pitch-place function of the implanted cochlea according to the original cochlear tonotopy [23,63]. But by looking closer at this problem, the location of the spiral ganglion may be more relevant to the CI stimulation, and its distribution map follows a distinct function from the Greenwood map [63,64]. Nevertheless, attempts to optimize the binaural hearing through frequency allocation according to either the Greenwood or the spiral ganglion map have yielded poor results in general, despite a few individual positive effects on speech discrimination in noise [24,63,65].

Several explanations can be advanced for this failure. The electrode array covers, at best, partially the cochlear apex coding for the low frequencies. Consequently, adjusting the fMAP to the Greenwood function means neglecting a significant part of the spectrum in low and mid frequencies [24]. In the case of shallow insertion, a full and slightly compressed spectral distribution seems to provide better results than a truncated fMAP following Greenwood [24]. Another reason is the number of functional channels (i.e., electrodes eliciting a distinctive pitch) in the implanted cochlea. Theoretically, to each electrode and frequency band should correspond a distinctive auditory nerve ending, but this assumption is far from true in many clinical situations, and frequencies allocated to “dead zones” are lost [66]. Moreover, channel interactions in these cases increase signal distortions and binaural mismatches [66]. Interestingly, the EA-based fitting program indicated an enlargement of frequency bands allocated to several electrodes in our series. We hypothesize that by minimizing the frequency allocation to the electrodes which do not stimulate a distinct neural population, the dissonance decreased, and the hearing improved as it has been already reported [14]. Finally, fitting based on the Greenwood map does not improve the binaural fusion in comparison to the default CI settings since complex central processing adaptations seem to modify the binaural interactions. In patients with bimodal binaural hearing or bilateral CI, two notes separated as far as three or four octaves presented simultaneously to both ears can be perceived with a similar pitch [20,21]. The extent of these alterations depends on many interconnected factors, such as ipsi- and contralateral auditory performances (i.e., speech discrimination, pitch resolution) and the hearing deprivation period [20,21].

In contrast to the theoretical approaches based on the Greenwood map, frequency band adjustments have been also tackled through a purely empirical approach [67,68,69]. By studying the correlations between speech and electrode discrimination abilities, several authors could show that low-frequency resolution is a significant factor for speech discrimination in quiet and noise [60,62]. Allocating most of the electrodes to low frequencies (9 out of 10 to frequencies < 2.6 kHz) improved only some aspects of hearing (e.g., vowel discrimination, speech in noise) at the expense of other performances, such as consonant discrimination [69]. Modifying this strategy by affecting only three additional electrodes to low frequencies in comparison to the default setting had small and variable effects [68]. EA appeared to be more performant than empirical systematic protocols by exploiting patient interaction at each step.

In line with studies that suggest that low-frequency resolution is determinant in speech discrimination, pitch-matching studies showed that perceived pitches with CI were lower than what was estimated by the place-pitch function in unilateral CI users with a normal contralateral hearing [70,71,72]. Several clinical studies demonstrated that the adaptation of the peripheral and the central tonotopies to the radical changes of frequency mapping after CI are possible in the majority. This adaptation drives the new tonotopy toward the frequency organization imposed by the CI [72,73,74,75]. Tonotopy adjustments can involve the entire cochlea or only a region [73]. Some patients may not adapt or adapt poorly to these modifications [73] and understanding the reasons for this maladaptation remains a challenge. However, recent results on SSD and bilateral CI suggest poor plasticity of the binaural system to mismatch [74].

In quiet, the maximum speech discrimination was not influenced by the EA-based fitting. This can be explained by the ceiling effect (9.04 ± 2.01 initially versus 9.22 ± 1.76 at the final test). The best fMAP was not always obtained at the last generation (Table 2). In six patients, the first generation of fMAPs (parents), which were generated randomly in the predefined domain, yielded the best results. In these cases, the algorithm could not further improve the result probably due to the ceiling effect again. Indeed, these patients were initially selected with contralateral functional hearing and consequently, had high performances in quiet. The other possible reason is that, while in quiet, patients may rely on their better ear, and in noise, improvement of binaural hearing has a measurable impact on the performance [75]. But if we limit the analyses to the patient who had their best fMAP after the parent generation, we still have a significant improvement for WRS in noise (mean difference = 2.86), APHAB and HISQUI scores, and no difference for tests in silence, which means that there is no reason to exclude those patients. Patients included during the second phase of the study also had WRS in noise with both their default fMAP and EA fMAP at six weeks. If we compare those scores, we still get a significant improvement with the EA fMAP, which confirms that there is an advantage of the EA fitting. Since different word lists were used at each test, a higher repetition of speech tests in noise versus only two tests in quiet does not affect its outcome and does not appear as a plausible cause of bias [76].

Although EA-based fitting procedure is long and can only be applied to motivated patients, conventional protocols of binaural pitch-matching are even more time-consuming, and more difficult [72,77]. Indeed, they require prolonged concentration and the ability to compare pitches of electrical and acoustic sound regardless of their timber, texture, and loudness [77,78]. Unlike these tedious tasks, we chose the discrimination of 10 monosyllabic words in noise which was short but relevant to our objective. On one hand, the performance of the algorithm depended on the reliability of the scores, on the other hand, short tests have the disadvantage of lower test-retest reliability [79]. This tradeoff appeared interesting since it produced a significant improvement in the hearing in noise.

Recently, inter-aural place mismatch was evaluated in bilateral CI and SSD patients with unilateral CI [78] using ITD discrimination (simultaneous bilateral stimulation), place-pitch ranking (sequential bilateral stimulation), and physical electrode location estimated by CT scans. The results showed that binaural processing may be optimized by using CT scan information to program the CI frequency allocation but not place-pitch ranking. However, the study was not carried out with bimodal users (CI + HA). Moreover, a place-matched frequency mapping based on electrode location could be limited due to the difficulty to determine neural survival at the site of each electrode or the electric interactions in the cochlea for individual patients [10]. EA is directly based on the speech discrimination in noise, and thus, might exploit its extrinsic characteristics to optimize the fitting.

The relationship between loudness and pitch can also add complexity to the modifications of frequency band allocations: pitch and loudness are both affected by the rate of stimulation [80,81,82]. Modifying the frequency allocation alters the loudness perception in a non-linear and unpredictable manner [82]. We did not control or investigate the loudness alterations induced by the frequency band shifts because adding loudness adjustments to frequency band modifications would have exponentially increased the possible combinations in the algorithm and would have made the protocol inapplicable. This could be a subject of future research and development in EA-based fitting.

In the future, the algorithm could be integrated into the fitting software to accelerate the procedure and improve its acceptability by the patients. Evaluation procedures other than the WRS, such as musical sound categorization tasks, could be evaluated to improve the process.

5. Conclusions

By modifying the default fMAP, the evolutionary algorithm increased the word recognition score in noise and improved APHAB and HISQUI scores. Most of the patients (23 out of 27) preferred the modified fMAP and kept it at the end of the study. These improvements were observed despite the heterogeneity of the CI brands and the contralateral ear condition. These results open insights on integrating this type of approach in standard CI fitting.

Acknowledgments

The authors thank Julie Eluecque-Toletti, Claude Gagneux, Adrian Travo, Geoffrey Guenser, and Cyril Cornu for their technical assistance during the fittings.

Appendix A

Table A1.

Frequency bands adjustments with the evolutionary algorithm. Values are expressed in Hertz, e# (electrode number), BW (Band Width), fLOW (Lower Limit, Hz), fHIGH (Upper Limit, Hz), CF (Center Frequency, Hz). -: deactivated electrodes.

e# Initial fLOW Initial fHIGH Final fLOW Final fHIGH Initial BW Final BW Initial CF Final CF
Patient 1
1 100 208 100 195 108 95 154 147.5
2 208 352 195 332 144 137 280 263.5
3 352 545 332 484 193 152 448.5 408
4 545 806 484 655 261 171 675.5 569.5
5 806 1160 655 984 354 329 983 819.5
6 1160 1643 984 1619 483 635 1401.5 1301.5
7 1643 2303 1619 1917 660 298 1973 1768
8 2303 3208 1917 3048 905 1131 2755.5 2482.5
9 3208 4450 3048 4069 1242 1021 3829 3558.5
10 4450 6155 4069 6076 1705 2007 5302.5 5072.5
11 6155 8500 6076 8500 2345 2424 7327.5 7288
12 - - - - - - - -
Patient 2
1 100 208 100 193 108 93 154 146.5
2 208 352 193 284 144 91 280 238.5
3 352 545 284 528 193 244 448.5 406
4 545 806 528 795 261 267 675.5 661.5
5 806 1160 795 1085 354 290 983 940
6 1160 1643 1085 1563 483 478 1401.5 1324
7 1643 2303 1563 2184 660 621 1973 1873.5
8 2303 3208 2184 2811 905 627 2755.5 2497.5
9 3208 4450 2811 4143 1242 1332 3829 3477
10 4450 6155 4143 5134 1705 991 5302.5 4638.5
11 6155 8500 5134 8500 2345 3366 7327.5 6817
12 - - - - - - - -
Patient 3
1 188 313 188 298 125 110 250.5 243
2 313 438 298 409 125 111 375.5 353.5
3 438 563 409 471 125 62 500.5 440
4 563 688 471 617 125 146 625.5 544
5 688 813 617 722 125 105 750.5 669.5
6 813 938 722 871 125 149 875.5 796.5
7 938 1063 871 1001 125 130 1000.5 936
8 1063 1188 1001 1067 125 66 1125.5 1034
9 1188 1313 1067 1129 125 62 1250.5 1098
10 1313 1563 1129 1462 250 333 1438 1295.5
11 1563 1813 1462 1669 250 207 1688 1565.5
12 1813 2063 1669 1787 250 118 1938 1728
13 2063 2313 1787 1905 250 118 2188 1846
14 2313 2688 1905 2418 375 513 2500.5 2161.5
15 2688 3063 2418 3030 375 612 2875.5 2724
16 3063 3563 3030 3092 500 62 3313 3061
17 3563 4063 3092 3855 500 763 3813 3473.5
18 4063 4688 3855 4608 625 753 4375.5 4231.5
19 4688 5313 4608 5092 625 484 5000.5 4850
20 5313 6063 5092 5959 750 867 5688 5525.5
21 6063 6938 5959 6460 875 501 6500.5 6209.5
22 6938 7938 6460 7938 1000 1478 7438 7199
Patient 4
1 188 313 220 368 125 148 250.5 294
2 313 438 368 462 125 94 375.5 415
3 438 563 462 605 125 143 500.5 533.5
4 563 688 605 770 125 165 625.5 687.5
5 688 813 770 832 125 62 750.5 801
6 813 938 832 999 125 167 875.5 915.5
7 938 1063 999 1175 125 176 1000.5 1087
8 1063 1188 1175 1268 125 93 1125.5 1221.5
9 1188 1313 1268 1413 125 145 1250.5 1340.5
10 1313 1563 1413 1702 250 289 1438 1557.5
11 1563 1813 1702 2001 250 299 1688 1851.5
12 1813 2063 2001 2063 250 62 1938 2032
13 2063 2313 2063 2390 250 327 2188 2226.5
14 2313 2688 2390 2772 375 382 2500.5 2581
15 2688 3063 2772 3107 375 335 2875.5 2939.5
16 3063 3563 3107 3834 500 727 3313 3470.5
17 3563 4063 3834 4274 500 440 3813 4054
18 4063 4688 4274 5033 625 759 4375.5 4653.5
19 4688 5313 5033 5580 625 547 5000.5 5306.5
20 5313 6063 5580 6532 750 952 5688 6056
21 6063 6938 6532 7734 875 1202 6500.5 7133
22 6938 7938 7734 7938 1000 204 7438 7836
Patient 5
1 500 647 500 626 147 126 573.5 563
2 647 837 626 777 190 151 742 701.5
3 837 1083 777 973 246 196 960 875
4 1083 1401 973 1166 318 193 1242 1069.5
5 1401 1812 1166 1493 411 327 1606.5 1329.5
6 1812 2345 1493 2109 533 616 2078.5 1801
7 2345 3034 2109 2614 689 505 2689.5 2361.5
8 3034 3925 2614 3337 891 723 3479.5 2975.5
9 3925 5078 3337 4687 1153 1350 4501.5 4012
10 5078 6570 4687 5877 1492 1190 5824 5282
11 6570 8500 5877 8500 1930 2623 7535 7188.5
12 - - - - - - - -
Patient 6
1 195 326 195 326 131 131 260.5 260.5
2 326 456 326 456 130 130 391 391
3 456 586 456 586 130 130 521 521
4 586 716 586 716 130 130 651 651
5 716 846 716 846 130 130 781 781
6 846 977 846 977 131 131 911.5 911.5
7 977 1107 977 1107 130 130 1042 1042
8 1107 1367 1107 1237 260 130 1237 1172
9 1367 1758 1237 1628 391 391 1562.5 1432.5
10 1758 2148 1628 2018 390 390 1953 1823
11 2148 2539 2018 2409 391 391 2343.5 2213.5
12 2539 3060 2409 2930 521 521 2799.5 2669.5
13 3060 3711 2930 3581 651 651 3385.5 3255.5
14 3711 4492 3581 4492 781 911 4101.5 4036.5
15 4492 5404 4492 5534 912 1042 4948 5013
16 5404 6185 5534 6576 781 1042 5794.5 6055
17 6185 7357 6576 7617 1172 1041 6771 7096.5
18 - - - - - - - -
19 - - - - - - - -
20 - - - - - - - -
Patient 7
1 188 313 188 261 125 73 250.5 224.5
2 313 438 261 424 125 163 375.5 342.5
3 438 563 424 555 125 131 500.5 489.5
4 563 688 555 643 125 88 625.5 599
5 688 813 643 754 125 111 750.5 698.5
6 813 938 754 871 125 117 875.5 812.5
7 938 1063 871 933 125 62 1000.5 902
8 1063 1188 933 1095 125 162 1125.5 1014
9 1188 1313 1095 1157 125 62 1250.5 1126
10 1313 1563 1157 1408 250 251 1438 1282.5
11 1563 1813 1408 1470 250 62 1688 1439
12 1813 2063 1470 1667 250 197 1938 1568.5
13 2063 2313 1667 2048 250 381 2188 1857.5
14 2313 2688 2048 2255 375 207 2500.5 2151.5
15 2688 3063 2255 2603 375 348 2875.5 2429
16 3063 3563 2603 3442 500 839 3313 3022.5
17 3563 4063 3442 3634 500 192 3813 3538
18 4063 4688 3634 4079 625 445 4375.5 3856.5
19 4688 5313 4079 5133 625 1054 5000.5 4606
20 5313 6063 5133 5614 750 481 5688 5373.5
21 6063 6938 5614 6266 875 652 6500.5 5940
22 6938 7938 6266 7938 1000 1672 7438 7102
Patient 8
1 250 416 238 374 166 136 333 306
2 416 494 374 510 78 136 455 442
3 494 587 510 578 93 68 540.5 544
4 587 697 578 782 110 204 642 680
5 697 828 782 850 131 68 762.5 816
6 828 983 850 918 155 68 905.5 884
7 983 1168 918 1121 185 203 1075.5 1019.5
8 1168 1387 1121 1393 219 272 1277.5 1257
9 1387 1648 1393 1529 261 136 1517.5 1461
10 1648 1958 1529 2005 310 476 1803 1767
11 1958 2326 2005 2345 368 340 2142 2175
12 2326 2762 2345 2821 436 476 2544 2583
13 2762 3281 2821 3161 519 340 3021.5 2991
14 3281 3858 3161 5064 577 1903 3569.5 4112.5
15 3858 4630 5064 8054 772 2990 4244 6559
16 4630 8700 8054 8700 4070 646 6665 8377
Patient 9
1 250 416 238 374 166 136 333 306
2 416 494 374 510 78 136 455 442
3 494 587 510 578 93 68 540.5 544
4 587 697 578 646 110 68 642 612
5 697 828 646 782 131 136 762.5 714
6 828 983 782 850 155 68 905.5 816
7 983 1168 850 1054 185 204 1075.5 952
8 1168 1387 1054 1189 219 135 1277.5 1121.5
9 1387 1648 1189 1665 261 476 1517.5 1427
10 1648 1958 1665 1869 310 204 1803 1767
11 1958 2326 1869 2413 368 544 2142 2141
12 2326 2762 2413 2549 436 136 2544 2481
13 2762 3281 2549 3161 519 612 3021.5 2855
14 3281 3858 3161 5268 577 2107 3569.5 4214.5
15 3858 4630 5268 8054 772 2786 4244 6661
16 4630 8700 8054 8700 4070 646 6665 8377
Patient 10
1 188 313 188 354 125 166 250.5 271
2 313 438 354 448 125 94 375.5 401
3 438 563 448 658 125 210 500.5 553
4 563 688 658 816 125 158 625.5 737
5 688 813 816 927 125 111 750.5 871.5
6 813 938 927 1080 125 153 875.5 1003.5
7 938 1063 1080 1158 125 78 1000.5 1119
8 - - - - - - - -
9 1068 1188 1158 1220 120 62 1128 1189
10 1188 1438 1220 1480 250 260 1313 1350
11 1438 1688 1480 1775 250 295 1563 1627.5
12 1688 1938 1775 2160 250 385 1813 1967.5
13 1938 2188 2160 2299 250 139 2063 2229.5
14 2188 2563 2299 2997 375 698 2375.5 2648
15 2563 2938 2997 3081 375 84 2750.5 3039
16 2938 3438 3081 4077 500 996 3188 3579
17 3438 3938 4077 4197 500 120 3688 4137
18 3938 4563 4197 4964 625 767 4250.5 4580.5
19 4563 5313 4964 5762 750 798 4938 5363
20 5313 6063 5762 6809 750 1047 5688 6285.5
21 6063 6938 6809 7702 875 893 6500.5 7255.5
22 6938 7938 7702 7938 1000 236 7438 7820
Patient 11
1 188 313 188 368 125 180 250.5 278
2 313 438 368 509 125 141 375.5 438,5
3 438 563 509 584 125 75 500.5 546.5
4 563 688 584 747 125 163 625.5 665.5
5 688 813 747 816 125 69 750.5 781.5
6 813 938 816 995 125 179 875.5 905.5
7 938 1063 995 1127 125 132 1000.5 1061
8 1063 1188 1127 1226 125 99 1125.5 1176.5
9 1188 1313 1226 1313 125 87 1250.5 1269.5
10 1313 1563 1313 1674 250 361 1438 1493.5
11 1563 1813 1674 1847 250 173 1688 1760.5
12 1813 2063 1847 2310 250 463 1938 2078.5
13 2063 2313 2310 2531 250 221 2188 2420.5
14 2313 2688 2531 3079 375 548 2500.5 2805
15 2688 3063 3079 3494 375 415 2875.5 3286.5
16 3063 3563 3494 4018 500 524 3313 3756
17 3563 4063 4018 4090 500 72 3813 4054
18 4063 4688 4090 4752 625 662 4375.5 4421
19 4688 5313 4752 5611 625 859 5000.5 5181.5
20 5313 6063 5611 6706 750 1095 5688 6158.5
21 6063 6938 6706 7846 875 1140 6500.5 7276
22 6938 7938 7846 7938 1000 92 7438 7892
Patient 12
1 70 170 70 170 100 100 120 120
2 170 300 170 325 130 155 235 247.5
3 300 469 325 487 169 162 384.5 406
4 469 690 487 702 221 215 579.5 594.5
5 690 982 702 1058 292 356 836 880
6 982 1368 1058 1453 386 395 1175 1255.5
7 1368 1881 1453 1919 513 466 1624.5 1686
8 1881 2564 1919 3076 683 1157 2222.5 2497.5
9 2564 3475 3076 3705 911 629 3019.5 3390.5
10 3475 4693 3705 4971 1218 1266 4084 4338
11 4693 6321 4971 6560 1628 1589 5507 5765.5
12 6321 8500 6560 8500 2179 1940 7410.5 7530
Patient 13
1 188 313 188 358 125 170 250.5 273
2 313 438 358 493 125 135 375.5 425.5
3 438 563 493 584 125 91 500.5 538.5
4 563 688 584 748 125 164 625.5 666
5 688 813 748 894 125 146 750.5 821
6 813 938 894 956 125 62 875.5 925
7 938 1063 856 1138 125 282 1000.5 997
8 1063 1188 1138 1318 125 180 1125.5 1228
9 1188 1313 1318 1541 125 223 1250.5 1429.5
10 1313 1563 1541 1808 250 267 1438 1674.5
11 1563 1813 1808 1870 250 62 1688 1839
12 1813 2063 1870 2373 250 503 1938 2121.5
13 2063 2313 2373 2490 250 117 2188 2431.5
14 2313 2688 2490 2793 375 303 2500.5 2641.5
15 2688 3063 2793 3216 375 423 2875.5 3004.5
16 3063 3563 3216 4002 500 786 3313 3609
17 3563 4063 4002 4447 500 445 3813 4224.5
18 4063 4688 4447 5017 625 570 4375.5 4732
19 4688 5313 5017 6196 625 1179 5000.5 5606.5
20 5313 6063 6196 6827 750 631 5688 6511.5
21 6063 6938 6827 7654 875 827 6500.5 7240.5
22 6938 7938 7654 7938 1000 284 7438 7796
Patient 14
1 188 313 188 315 125 127 250.5 251.5
2 313 438 315 512 125 197 375.5 413.5
3 438 563 512 688 125 176 500.5 600
4 563 688 688 761 125 73 625.5 724.5
5 688 813 761 936 125 175 750.5 848.5
6 813 938 936 1077 125 141 875.5 1006.5
7 938 1063 1077 1146 125 69 1000.5 1111.5
8 1063 1188 1146 1296 125 150 1125.5 1221
9 1188 1313 1296 1358 125 62 1250.5 1327
10 1313 1563 1358 1762 250 404 1438 1560
11 1563 1813 1762 1824 250 62 1688 1793
12 1813 2063 1824 2177 250 353 1938 2000.5
13 2063 2313 2177 2334 250 157 2188 2255.5
14 2313 2688 2334 2740 375 406 2500.5 2537
15 2688 3063 2740 3567 375 827 2875.5 3153.5
16 3063 3563 3567 4058 500 491 3313 3812.5
17 3563 4063 4058 4320 500 262 3813 4189
18 4063 4688 4320 5349 625 1029 4375.5 4834.5
19 4688 5313 5349 5579 625 230 5000.5 5464
20 5313 6063 5579 6595 750 1016 5688 6087
21 6063 6938 6595 7467 875 872 6500.5 7031
22 6938 7938 7467 7938 1000 471 7438 7702.5
Patient 15
1 70 170 70 197 100 127 120 133.5
2 170 300 197 354 130 157 235 275,5
3 300 469 354 480 169 126 384.5 417
4 469 690 480 816 221 336 579.5 648
5 690 982 816 1105 292 289 836 960.5
6 982 1368 1105 1394 386 289 1175 1249.5
7 1368 1881 1394 1985 513 591 1624.5 1689.5
8 1881 2564 1985 2805 683 820 2222.5 2395
9 2564 3475 2805 3965 911 1160 3019.5 3385
10 3475 4693 3965 7722 1218 3757 4084 5843.5
11 4693 6321 4722 6671 1628 1949 5507 5696.5
12 6321 8500 6671 8500 2179 1829 7410.5 7585.5
Patient 16
1 100 221 100 244 121 144 160.5 172
2 221 386 244 409 165 165 303.5 326.5
3 386 615 409 728 229 319 500.5 568.5
4 615 935 728 1015 320 287 775 871.5
5 935 1383 1015 1450 448 435 1159 1232.5
6 1383 2014 1450 2284 631 834 1698.5 1867
7 2014 2906 2284 3475 892 1191 2460 2879.5
8 2906 4169 3475 4569 1263 1094 3537.5 4022
9 4169 5959 4569 6309 1790 1740 5064 5439
10 5959 8500 6312 8500 2541 2188 7229.5 7406
11 - - - - - - - -
12 - - - - - - - -
Patient 17
1 188 313 188 337 125 149 250.5 262.5
2 313 438 337 501 125 164 375.5 419
3 438 563 501 563 125 62 500.5 532
4 563 688 563 751 125 188 625.5 657
5 688 813 751 882 125 131 750.5 816.5
6 813 938 882 1024 125 142 875.5 953
7 938 1063 1024 1227 125 203 1000.5 1125.5
8 - - - - - - - -
9 1063 1313 1227 1397 250 170 1188 1312
10 1313 1563 1397 1808 250 411 1438 1602.5
11 1563 1813 1808 1984 250 176 1688 1896
12 1813 2188 1984 2203 375 219 2000.5 2093.5
13 2188 2563 2203 2653 375 450 2375.5 2428
14 2563 3063 2653 3505 500 852 2813 3079
15 3063 3563 3505 3900 500 395 3313 3702.5
16 3563 4188 3900 4315 625 415 3875.5 4107.5
17 4188 4938 4315 5275 750 960 4563 4795
18 4938 5813 5275 6519 875 1244 5375.5 5897
19 5813 6813 6519 7074 1000 555 6313 6796.5
20 6813 7938 7074 7938 1125 864 7375.5 7506
21 - - - - - - - -
22 - - - - - - - -
Patient 18
1 70 170 70 200 100 130 120 135
2 170 300 200 352 130 152 235 276
3 300 469 352 545 169 193 384.5 448.5
4 469 690 545 725 221 180 579.5 635
5 690 982 725 1098 292 373 836 911.5
6 982 1368 1098 1374 386 276 1175 1236
7 1368 1881 1374 2040 513 666 1624.5 1707
8 1881 2564 2040 2724 683 684 2222.5 2382
9 2564 3475 2724 3587 911 863 3019.5 3155.5
10 3475 4693 3587 4860 1218 1273 4084 4223.5
11 4693 6321 4869 6855 1628 1986 5507 5862
12 6321 8500 6855 8500 2179 1645 7410.5 7677.5
Patient 19
1 100 198 100 236 98 136 149 168
2 198 325 236 387 127 151 261.5 311.5
3 325 491 387 538 166 151 408 462.5
4 491 710 538 823 219 285 600.5 680.5
5 710 999 823 1147 289 324 854.5 985
6 999 1383 1147 1470 384 323 1191 1308.5
7 1383 1893 1470 2141 510 671 1638 1805.5
8 1893 2754 2141 2662 861 521 2323.5 2401.5
9 2574 3483 2662 3975 909 1313 3028.5 3318.5
10 3483 4698 3975 4727 1215 752 4090.5 4351
11 4698 6323 4727 7328 1625 2601 5510.5 6027.5
12 6323 8500 7328 8500 2177 1172 7411.5 7914
Patient 20
1 188 313 188 313 125 125 250.5 250.5
2 313 438 313 454 125 141 375.5 383.5
3 438 563 454 665 125 211 500.5 559.5
4 563 688 665 814 125 149 625.5 739.5
5 688 813 814 876 125 62 750.5 845
6 813 938 876 958 125 82 875.5 917
7 938 1063 958 1117 125 159 1000.5 1037.5
8 1063 1188 1117 1285 125 168 1125.5 1201
9 1188 1438 1285 1609 250 324 1313 1447
10 1438 1688 1609 1776 250 167 1563 1692.5
11 1688 1938 1776 2167 250 391 1813 1971.5
12 1938 2313 2167 2276 375 109 2125.5 2221.5
13 2313 2688 2276 2742 375 466 2500.5 2509
14 2688 3188 2742 2842 500 100 2938 2792
15 3188 3688 2842 2904 500 62 3438 2873
16 3686 4313 2904 4588 627 1684 3999.5 3746
17 4313 5063 4588 5492 750 904 4688 5040
18 5063 5938 5492 6541 875 1049 5500.5 6016.5
19 5938 6938 6541 7117 1000 576 6438 6829
20 6938 7935 7117 7938 997 821 7436.5 7527.5
21 - - - - - - - -
22 - - - - - - - -
Patient 21
1 188 313 188 313 125 125 250.5 250.5
2 313 438 313 447 125 134 375.5 380
3 438 563 447 578 125 131 500.5 512.5
4 563 688 578 781 125 203 625.5 679.5
5 688 813 781 893 125 112 750.5 837
6 813 938 893 973 125 80 875.5 933
7 938 1063 973 1161 125 188 1000.5 1067
8 1063 1188 1161 1223 125 62 1125.5 1192
9 1188 1313 1223 1327 125 104 1250.5 1275
10 1313 1563 1327 1829 250 502 1438 1578
11 1563 1813 1829 2016 250 187 1688 1922.5
12 1813 2063 2016 2446 250 430 1938 2231
13 2063 2313 2446 2599 250 153 2188 2522.5
14 2313 2688 2599 3001 375 402 2500.5 2800
15 2688 3063 3001 3562 375 561 2875.5 3281.5
16 3063 3563 3562 4189 500 627 3313 3875.5
17 3563 4063 4189 4688 500 499 3813 4438.5
18 4063 4688 4688 4866 625 178 4375.5 4777
19 4688 5313 4866 6232 625 1366 5000.5 5549
20 5313 6063 6232 6806 750 574 5688 6519
21 6063 6938 6806 7876 875 1070 6500.5 7341
22 6938 7938 7876 7938 1000 62 7438 7907
Patient 22
1 70 170 70 184 100 114 120 127
2 170 300 184 310 130 126 235 247
3 300 469 310 493 169 183 384.5 401.5
4 469 690 493 692 221 199 579.5 592.5
5 690 982 692 1163 292 471 836 927.5
6 982 1368 1163 1547 386 384 1175 1355
7 1368 1881 1547 2231 513 684 1624.5 1889
8 1881 2564 2231 2647 683 416 2222.5 2439
9 2564 3475 2647 4115 911 1468 3019.5 3381
10 3475 4693 4115 5439 1218 1324 4084 4777
11 4693 6321 5439 7050 1628 1611 5507 6244.5
12 6321 8500 7050 8500 2179 1450 7410.5 7775
Patient 23
1 188 313 188 361 125 173 250.5 274.5
2 313 438 361 507 125 146 375.5 434
3 438 563 507 584 125 77 500.5 545.5
4 563 688 584 755 125 171 625.5 669.5
5 688 813 755 885 125 130 750.5 820
6 813 938 885 1059 125 174 875.5 972
7 938 1063 1059 1214 125 155 1000.5 1136.5
8 1063 1188 1214 1310 125 96 1125.5 1262
9 1188 1313 1310 1372 125 62 1250.5 1341
10 1313 1563 1372 1738 250 366 1438 1555
11 1563 1813 1738 2050 250 312 1688 1894
12 1813 2063 2050 2130 250 80 1938 2090
13 2063 2313 2130 2368 250 238 2188 2249
14 2313 2688 2368 2956 375 588 2500.5 2662
15 2688 3063 2956 3676 375 720 2875.5 3316
16 3063 3563 3676 3805 500 129 3313 3740.5
17 3563 4063 3805 4538 500 733 3813 4171.5
18 4063 4688 4538 4975 625 437 4375.5 4756.5
19 4688 5313 4975 6196 625 1221 5000.5 5585.5
20 5313 6063 6196 6827 750 631 5688 6511.5
21 6063 6938 6827 7654 875 827 6500.5 7240.5
22 6938 7938 7654 7938 1000 284 7438 7796
Patient 24
1 188 313 188 315 125 127 250.5 251.5
2 313 438 315 517 125 202 375.5 416
3 438 563 517 641 125 124 500.5 579
4 563 688 641 781 125 140 625.5 711
5 688 813 781 942 125 161 750.5 861.5
6 813 938 942 1077 125 135 875.5 1009.5
7 938 1063 1077 1193 125 116 1000.5 1135
8 1063 1188 1193 1296 125 103 1125.5 1244.5
9 1188 1313 1296 1358 125 62 1250.5 1327
10 1313 1563 1358 1764 250 406 1438 1561
11 1563 1813 1764 1826 250 62 1688 1795
12 1813 2063 1826 2190 250 364 1938 2008
13 2063 2313 2190 2355 250 165 2188 2272.5
14 2313 2688 2355 2740 375 385 2500.5 2547.5
15 2688 3063 2740 3567 375 827 2875.5 3153.5
16 3063 3563 3567 4022 500 455 3313 3794.5
17 3563 4063 4022 4288 500 266 3813 4155
18 4063 4688 4288 5349 625 1061 4375.5 4818.5
19 4688 5313 5349 5579 625 230 5000.5 5464
20 5313 6063 5579 6537 750 958 5688 6058
21 6063 6938 6537 7467 875 930 6500.5 7002
22 6938 7938 7467 7938 1000 471 7438 7702.5
Patient 25
1 100 198 100 219 98 119 149 159.5
2 198 325 219 341 127 122 261.5 280
3 325 491 341 519 166 178 408 430
4 491 710 519 797 219 278 600.5 658
5 710 999 797 1052 289 255 854.5 924.5
6 999 1383 1052 1611 384 559 1191 1331.5
7 1383 1893 1611 2265 510 654 1638 1938
8 1893 2754 2265 2888 861 623 2323.5 2576.5
9 2574 3483 2888 3452 909 564 3028.5 3170
10 3483 4698 3452 5197 1215 1745 4090.5 4324.5
11 4698 6323 5197 7158 1625 1961 5510.5 6177.5
12 6323 8500 7158 8500 2177 1342 7411.5 7829
Patient 26
1 100 208 100 237 108 137 154 168.5
2 208 352 237 354 144 117 280 295.5
3 352 545 354 637 193 283 448.5 495.5
4 545 806 637 956 261 319 675.5 796.5
5 806 1160 956 1317 354 361 983 1136.5
6 1160 1643 1317 1891 483 574 1401.5 1604
7 1643 2303 1891 2644 660 753 1973 2267.5
8 2303 3208 2644 3459 905 815 2755.5 3051.5
9 3208 4450 3459 5033 1242 1574 3829 4246
10 4450 6155 5033 6365 1705 1332 5302.5 5699
11 6155 8500 6365 8500 2345 2135 7327.5 7432.5
12 - - - - - - - -
Patient 27
1 188 313 188 328 125 140 250.5 258
2 313 438 328 490 125 162 375.5 409
3 438 563 490 599 125 109 500.5 544.5
4 563 813 599 927 250 328 688 763
5 813 1063 927 1176 250 249 938 1051.5
6 1063 1313 1176 1321 250 145 1188 1248.5
7 1313 1563 1321 1584 250 263 1438 1452.5
8 1563 1813 1584 1964 250 380 1688 1774
9 1813 2188 1964 2410 375 446 2000.5 2187
10 2188 2563 2410 2898 375 488 2375.5 2654
11 2563 3063 2898 3312 500 414 2813 3105
12 3063 3563 3312 4147 500 835 3313 3729.5
13 3563 4188 4147 4789 625 642 3875.5 4468
14 4188 4938 4789 5895 750 1106 4563 5342
15 4938 5813 5895 6430 875 535 5375.5 6162.5
16 5813 6813 6430 7256 1000 826 6313 6843
17 6813 7938 7256 7938 1125 682 7375.5 7597
18 - - - - - - - -
19 - - - - - - - -
20 - - - - - - - -
21 - - - - - - - -
22 - - - - - - - -

Appendix B

Table A2.

The electrode position on post-operative CT scanner, center frequency deduced from the Greenwood map, default central frequency, and central frequency after fitting. BML (basilar membrane length) in mm, e# (electrode number), ERD (electrode to round window distance) in mm, GF (center frequency according to Greenwood equation) in Hz, DF (default center frequency) in Hz, EAF (Evolutionary Algorithm center frequency). -: deactivated electrodes.

ID CI Brand/Array BML e# ERD GF DF EAF
1 MEDEL/Flex 28 30.7 1 1.56 16,140.9 7327.5 7288
2 3.53 11,796.2 5302.5 5072.5
3 5.67 8379.27 3829 3558.5
4 7.76 5988.13 2755.5 2482.5
5 9.73 4351.89 1973 1768
6 11.78 3110.85 1401.5 1301.5
7 13.97 2160.84 983 819.5
8 16.04 1519.15 675.5 569.5
9 18.27 1026.09 448.5 408
10 20.3 705.461 280 263.5
11 22.41 464.833 154 147.5
2 MEDEL/Flex 28 30.7 1 2.37 14,276.1 7327.5 6817
2 4.42 10,350.7 5302.5 4638.5
3 6.55 7399.64 3829 3477
4 8.45 5475.08 2755.5 2497.5
5 10.5 3945.21 1973 1873.5
6 12.5 2854.92 1401.5 1324
7 14.71 1984.74 983 940
8 16.67 1426.68 675.5 661.5
9 18.51 1036.59 448.5 406
10 20.47 726.911 280 238.5
11 22.32 509.428 154 146.5
3 COCHLEAR/422 26.6 1 3.26 11,366.9 7438 7199
2 4.29 9401.1 6500.5 6209.5
3 5.09 8109 5688 5525.5
4 5.97 6888.73 5000.5 4850
5 6.85 5848.85 4375.5 4231.5
6 7.6 5084.86 3813 3473.5
7 8.4 4376.94 3313 3061
8 9.21 3757.73 2875.5 2724
9 10.02 3223.31 2500.5 2161.5
10 10.94 2704.49 2188 1846
11 11.76 2309.8 1938 1728
12 12.59 1965.93 1688 1565.5
13 13.53 1634.27 1438 1295.5
14 14.39 1376.69 1250.5 1098
15 15.06 1202.13 1125.5 1034
16 15.8 1032.51 1000.5 936
17 16.4 910.776 875.5 796.5
18 17.16 744.471 750.5 669.5
19 18.08 632.784 625.5 544
20 18.75 543.532 500.5 440
21 18.92 522.563 375.5 353.5
22 18.11 628.511 250.5 243
5 MEDEL/Flex 28 34.2 1 2.02 15,503.9 7535 7188.5
2 4.12 11,483.7 5824 5282
3 6.34 8350.89 4501.5 4012
4 8.63 6000.88 3479.5 2975.5
5 10.47 4592.95 2689.5 2361.5
6 12.46 3430.86 2078.5 1801
7 14.17 2662.78 1606.5 1329.5
8 16.75 1804.41 1242 1069.5
9 18.91 1291.24 960 875
10 20.97 928.2 742 701.5
11 23.15 643.389 573.5 563
8 AB/HiFOCUS Mid-scala 28.6 1 2.22 14,160.8 6665 8377
2 3.32 11,732.9 4264 6559
3 4.1 10,265.3 3589.5 4112.5
4 4.9 8948.25 3021.5 2991
5 5.91 7520.72 2544 2583
6 6.86 6383.19 2142 2175
7 7.9 5330.47 1803 1767
8 8.93 4455.28 1517.5 1461
9 9.99 3700.4 1277.5 1257
10 10.8 3208.18 1075.5 1019.5
11 11.8 2686.5 905.5 884
12 12.8 2245.98 762.5 816
13 13.8 1873.97 642 680
14 14.8 1559.83 540.5 544
15 15.8 1294.56 455 442
16 16.8 1070.55 333 306
9 AB/HiFOCUS Mid-scala 27.5 1 1.5 15,849.7 6665 8377
2 2.5 13,270.6 4264 6661
3 3.46 11,186.7 3589.5 4214.5
4 4.46 9359.48 3021.5 2855
5 5.5 7770.99 2544 2481
6 6.5 6494.51 2142 2141
7 7.56 5365.4 1803 1767
8 8.32 4676.04 1517.5 1427
9 9.26 3941.48 1277.5 1121.5
10 10.44 3175.68 1075.5 952
11 11.27 2724.68 905.5 816
12 12.3 2249.21 762.5 714
13 13.28 1870.15 642 612
14 14.32 1533.28 540.5 544
15 15.08 1323.28 455 442
16 16.12 1077.81 333 306
11 COCHLEAR/CI522 26.8 1 4.22 9578.87 7438 7892
2 4.45 9183.58 6500.5 7276
3 5.83 7127.34 5688 6158.5
4 6.35 6476.01 5000.5 5181.5
5 6.78 5981.71 4375.5 4421
6 9.29 3750.16 3813 4054
7 9.88 3356.77 3313 3756
8 10.8 2821.1 2875.5 3286.5
9 12.4 2077.21 2500.5 2805
10 13.4 1710.26 2188 2420.5
11 14.4 1403.89 1938 2078.5
12 15.2 1195.63 1688 1760.5
13 16.2 974.22 1438 1493.5
14 17.51 738.51 1250.5 1269.5
15 18.12 646.37 1125.5 1176.5
16 19.12 515.63 1000.5 1061
17 19.9 428.83 875.5 905.5
18 20.6 360.68 750.5 781.5
19 20.12 406.48 625.5 665.5
20 21.58 278.64 500.5 546.5
21 22.2 233.74 375.5 438.5
22 23.3 165.46 250.5 278
13 COCHLEAR/CI522 23.2 1 1.71 14,434.22 7438 7796
2 2.42 12,428.74 6500.5 7240.5
3 3.39 10,127.08 5688 6511.5
4 4.17 8585.74 5000.5 5606.5
5 4.96 7260.21 4375.5 4732
6 5.6 6335.4 3813 4224.5
7 6.44 5294.51 3313 3609
8 7.19 4507.27 2875.5 3004.5
9 8.12 3687.41 2500.5 2641.5
10 9.15 2946.89 2188 2431.5
11 10.1 2391.39 1938 2121.5
12 11.2 1871.61 1688 1839
13 12 1561.82 1438 1674.5
14 13.1 1212,00 1250.5 1429.5
15 14 979.81 1125.5 1228
16 14.9 787.33 1000.5 997
17 15.7 644.06 875.5 925
18 16.7 495.5 750.5 821
19 17.3 420.14 625.5 666
20 18.2 323.39 500.5 538.5
21 19.2 235.16 375.5 425.5
22 20 176.69 250.5 273
14 COCHLEAR/CI522 29.2 1 6.84 6562.82 7438 7702.5
2 7.92 5464.23 6500.5 7031
3 8.86 4655.58 5688 6087
4 9.64 4073.82 5000.5 5464
5 10.7 3394.54 4375.5 4834.5
6 11.7 2854.28 3813 4189
7 12.2 2615.9 3313 3812.5
8 13.1 2233.54 2875.5 3153.5
9 14 1904.12 2500.5 2537
10 14.7 1679.78 2188 2255.5
11 15.6 1427.04 1938 2000.5
12 16.7 1165.16 1688 1793
13 17.8 946.89 1438 1560
14 19 750.01 1250.5 1327
15 20 613.33 1125.5 1221
16 20.7 530.27 1000.5 1111.5
17 21.7 427.13 875.5 1006.5
18 22.6 347.84 750.5 848.5
19 23.4 286.62 625.5 724.5
20 24 245.74 500.5 600
21 25.1 180.58 375.5 413.5
22 25.9 140.11 250.5 251.5
15 MEDEL/Flex 28 28.45 1 0.75 18,184.98 7410.5 7585.5
2 2.89 12,595.75 5507 5696.5
3 4.85 8985.88 4084 5843.5
4 7.07 6115.86 3019.5 3385
5 9.24 4184.53 2222.5 2395
6 11.2 2957.73 1624.5 1689.5
7 13.6 1918.25 1175 1249.5
8 16.4 1136.75 836 960.5
9 18.2 798.78 579.5 648
10 20.4 504.18 384.5 417
11 22.5 309.15 235 275.5
12 24.4 183.66 120 133.5
16 MEDEL/Flex 28 28.2 1 0.87 17,791.38 7229.5 7406
2 2.39 13,675.99 5064 5439
3 4.68 9187.52 3537.5 4022
4 6.82 6320.85 2460 2879.5
5 8.7 4538.94 1698.5 1867
6 11 3012.26 1159 1232.5
7 13.2 2019.94 775 871.5
8 15.4 1339.44 500.5 568.5
9 18 805.29 303.5 326.5
10 20.2 506.49 160.5 172
11 22.3 309.32 - -
12 24.2 182.85 - -
17 COCHLEAR/CI522 24.8 1 2.64 12,299.22 - -
2 3.52 10,337.09 - -
3 4.33 8805.66 7375.5 7506
4 5.19 7423.81 6313 6796.5
5 6.11 6180.84 5375.5 5897
6 6.91 5267.15 4563 4795
7 7.78 4422.64 3875.5 4107.5
8 8.67 3694.89 3313 3702.5
9 9.77 2953.55 2813 3079
10 10.8 2389.68 2375.5 2428
11 11.6 2023.53 2000.5 2093.5
12 12.6 1639.29 1688 1896
13 13.5 1352.02 1438 1602.5
14 14.5 1086.73 1188 1312
15 15.4 888.4 - -
16 16.5 688.81 1000.5 1125.5
17 17.3 568.31 875.5 953
18 18.1 465.21 750.5 816.5
19 18.8 387.29 625.5 657
20 19.6 310.33 500.5 532
21 20.4 244.49 375.5 419
22 21.2 188.16 250.5 262.5
21 COCHLEAR/CI522 28.1 1 5.48 7964.02 7438 7907
2 6.24 6969.87 6500.5 7341
3 7.33 5752.95 5688 6519
4 8.27 4872.01 5000.5 5549
5 9.34 4028.21 4375.5 4777
6 10.5 3272.96 3813 4438.5
7 11.3 2833.31 3313 3875.5
8 12.5 2277.55 2875.5 3281.5
9 13.6 1859.68 2500.5 2800
10 14.5 1571.98 2188 2522.5
11 15.4 1325.56 1938 2231
12 16.3 1114.49 1688 1922.5
13 17.4 897.19 1438 1578
14 18.2 763.09 1250.5 1275
15 19 646.23 1125.5 1192
16 19.8 544.4 1000.5 1067
17 20.7 445.41 875.5 933
18 21.6 360.62 750.5 837
19 22.7 273.33 625.5 679.5
20 23.2 238.79 500.5 512.5
21 24.1 183.65 375.5 380
22 24.9 141.31 250.5 250.5
24 COCHLEAR/CI522 24.3 1 1.33 15,835.2 7438 7702.5
2 2.47 12,591.78 6500.5 7002
3 3.28 10,695.68 5688 6058
4 4.15 8972.32 5000.5 5464
5 4.84 7802.55 4375.5 4818.5
6 5.65 6619.38 3813 4155
7 6.53 5532.69 3313 3794.5
8 7.43 4601.63 2875.5 3153.5
9 8.44 3737.31 2500.5 2547.5
10 9.52 2986.43 2188 2272.5
11 10.3 2536.15 1938 2008
12 11.4 2008.96 1688 1795
13 12.2 1691.89 1438 1561
14 13.3 1330.67 1250.5 1327
15 14.1 1113.42 1125.5 1244.5
16 15.2 865.92 1000.5 1135
17 16 717.06 875.5 1009.5
18 16.8 590.11 750.5 861.5
19 17.7 469.49 625.5 711
20 18.5 378.97 500.5 579
21 19.4 292.97 375.5 416
22 20.5 206.76 250.5 251.5
26 MEDEL/Flex 28 25.4 1 0 20,677.07 - -
2 2.19 13,578.18 7327.5 7432.5
3 4.35 8951.27 5302.5 5699
4 5.24 7533.49 3829 4246
5 7.01 5336.82 2755.5 3051.5
6 9.25 3433.53 1973 2267.5
7 10.5 2675.59 1401.5 1604
8 12.1 1934.82 983 1136.5
9 14 1303.4 675.5 796.5
10 16 844.59 448.5 495.5
11 18.3 493.51 280 295.5
12 20.3 289.49 154 168.5

Author Contributions

Conceptualization, V.P., P.L. and A.B.G.; methodology, V.P.; software, P.L.; validation, A.B.G.; formal analysis, P.L. and L.S.A.G.; investigation, A.B.G.; resources, P.L.; data curation, V.P.; writing—original draft preparation, A.S. (Alexis Saadoun), A.S. (Antoine Schein) and A.B.G.; writing—review and editing, A.B.G.; visualization, A.B.G.; supervision, A.B.G.; project administration, A.B.G.; funding acquisition, none. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

The protocol was reviewed and approved by the Institutional Ethics Committee Board (CPP EST III, Nancy University Hospital, France, number: 2017-Jan-14444ND and CPP OUEST V, Rennes University Hospital, France, number: 2020-A00586-33).

Informed Consent Statement

Informed consent was obtained from all subjects involved in the study.

Conflicts of Interest

Vincent Péan is a full-time Medel employee. The authors declare no other commercial or financial relationships that could be construed as a potential conflict of interest in this research project.

Footnotes

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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