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. 2021 Jun 10;9(11):e14882. doi: 10.14814/phy2.14882

Altered chemosensitivity to CO2 during exercise

Stanley M Yamashiro 1,, Takahide Kato 2, Takaaki Matsumoto 3
PMCID: PMC8191175  PMID: 34110716

Abstract

The effect of exercise on chemosensitivity to carbon dioxide (CO2) has been controversial. Most studies have been based on rebreathing to alter inspired CO2 which is poorly tolerated in exercise. Instead, inhaling a fixed 3% CO2 from rest to moderate exercise was found to be well tolerated by seven normal subjects enabling CO2 chemosensitivity to be studied with minimal negative reaction. Results showed that chemosensitivity to CO2 following 5–6 min of stimulation was significantly enhanced during mild exercise (< 0.01). This motivated exploring how much of the dynamic ventilatory response to mild exercise breathing air could be predicted by a model with central and peripheral chemosensitivity. Chemoreceptor stimulation combined with hypercapnia has been associated with long‐term facilitation of ventilation (LTF). 3% CO2 inhalation during moderate exercise led to ventilation augmentation consistent with LTF following 6 min of exercise in seven normal human subjects (< 0.01). Increased ventilation could not be attributed to hypercapnia or metabolic changes. Moderate exercise breathing air resulted in significantly less augmentation. In conclusion, both peripheral and central chemosensitivity to CO2 increased in exercise with the peripheral chemoreceptors playing a dominant role. This separation of central and peripheral contributions was not previously reported. This chemoreceptor stimulation can lead to augmented ventilation consistent with LTF.

Keywords: chemosensitivity, CO2 inhalation, exercise


Chemosensity to CO2 increases in exercise and promotes long term facilitation of ventilation.

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1. INTRODUCTION

Augmentation of chemosensitivity during mild exercise in normal man was reported by Weil et al. (1972) using variable inspired carbon dioxide (CO2). Both hypoxia and hypercapnia were studied so the peripheral chemoreceptors were felt to be involved, but a contribution by central chemoreceptors could not be ruled out. Miyamura et al. (1976) tried rebreathing of CO2 up to 10% inspired during exercise and concluded that CO2 depressed ventilation during exercise. More recently, Duffin et al. (1980) concluded no change in CO2 sensitivity during light exercise also based on rebreathing. The method of administration of CO2 may have been a contributing factor in explaining these divergent results. Inspired CO2 of 7.5% or more is known to stimulate subject arousal and anxiety (Savulich et al., 2019). An inspired level of 3% was felt to avoid such negative reactions and was used in the present study to test this hypothesis. The duration of CO2 inhalations is another important factor and 5–6 min was felt long enough to observe both peripheral and central chemoreceptor responses and short enough to minimize subject discomfort. The relative roles played by central and peripheral chemoreceptors in any augmentation has also not been previously determined. Five to six minutes of transient response data should be sufficient to separately estimate central and peripheral contributions using model fitting (Bellville et al., 1979). Chemoreceptor gain is known to increase in hypoxia. The response to intermittent hypoxia when combined with hypercapnia in humans has led to long‐term ventilatory facilitation (LTF) (Griffin et al., 2012; Mitchell & Johnson, 2003; Wadhwa et al., 2008). If peripheral chemoreceptor stimulation can be significantly enhanced in exercise as discussed above, combined CO2 inhalation and exercise may also lead to LTF. LTF could be indicated by a ventilation increase following 5–6 min of exercise during hypercapnia. Whether this occurs is a question addressed in this study. Moderate exercise (45% maximum MRO2) was used to avoid anaerobic effects. Prior studies on LTF have primarily focused on intermittent hypoxic chemoreceptor stimulation using longer total durations. Use of higher levels of ventilatory stimulation in combined exercise and CO2 inhalation may help overcome this possible limitation. A hypercapnic background to intermittent hypoxia has been reported to be effective in producing LTF in humans using eight hypoxic episodes each 4 min long (Harris et al., 2006). Thus, whether 5–6 min of transiently applied combined moderate exercise and 3% inhaled CO2 does satisfy the intermittency and threshold requirements for LTF is the final addressed question.

2. MATERIALS AND METHODS

The experimental methods have been previously described (Kato et al., 2021). Ventilation responses were not the focus of previous use of the collected data and was the main topic in the present study. The current study was also limited to light and moderate exercise levels. An abbreviated summary is listed below.

2.1. Subjects

Seven healthy, active males (age 21.7 ± 0.5 years; height 171.6 ± 7.4 cm; body mass 64.5 ± 4.7 kg; VO2max 44.1 ± 6.4 ml/kg/min; mean ± SD) with no history of cardiorespiratory diseases volunteered to participate in the present study. Informed consent was obtained from each subject after a full explanation of the experimental procedure as well as its risks was provided. The experimental protocol was approved by the Human Subjects Committee at the Chukyo University Graduate School of Health Sciences.

2.2. Maximal exercise test

Each subject performed an incremental exhaustive cycle exercise. Exercise test was conducted using an electrically braked cycle ergometer (AEROBIKE75XL; Combi Wellness); the workload was set at 40 watts (W) at the beginning of the test and increased by 20 W every minute until exhaustion. Subjects were encouraged to maintain a pedaling rate of 70 revolutions per minute (rpm). During the experiment, Oxygen uptake (V̇O2) was continuously analyzed using a breath‐by‐breath (BB) gas collection system and analyzed every 30 s using an automatic gas analyzer (RM300, MG360; Minato Medical Science). This system used a hot wire flowmeter to measure airflow and an infrared CO2 analyzer to measure breath CO2. Heart rate (HR) was also recorded every 30 s using a heart rate monitor (Life Scope B; Nihon Kohden). For assessment of VO2max, two of the following three criteria were satisfied: (1) identification of a plateau in VO2 with an increase in workload (≤150 ml increase), (2) HR ±10% of age‐predicted maximum (220 − age), and (3) RER ≥1.10.

2.3. Main experimental protocol

After 5 min rest session at sitting position on the cycle ergometer, subjects performed baseline cycling at 40W for 6 min. Continuously, subjects carried out the constant work‐rate exercise (CWE) at 45% VO2 max intensity for 6 min using the same cycle ergometer as in the maximal exercise test. The pedaling rate of both baseline cycling and CWE sessions were 70 rpm. Each subject performed CWE tests on two occasions in normal barometric pressure, under the following conditions: (1) breathing ambient air (Air), (2) breathing enriched CO2 gas (CO2 3.03 ± 0.06%; O2 20.99 ± 0.03%; balance N2) (3% CO2). The subjects were blinded to the inhaled gas composition. The interval between each exercise test was at least a day. On the day before the exercise test, subjects were advised to avoid strenuous exercise, alcohol, caffeine, smoking, and to fast after dinner.

2.4. Measurement of respiratory responses

VO2, CO2 output (VCO2), minute ventilation (VE), end‐tidal partial pressure of O2 and CO2 (PetO2 and PetCO2, respectively), and tidal volume (VT) during steady state exercise were recorded using an automatic gas analyzer in the BB system. These data were averaged for every 30 s and output. PetCO2 during exercise or hypercapnia overestimates arterial partial pressure of CO2 (PaCO2), thus PaCO2 was estimated using the formula of Jones et al. (1979).

Estimated PaCO2=5.5+0.9PetCO20.0021VT.

Data of these respiratory chemoreception factors were based on the mean values of the 5 min air rest period, last 30 s of resting and 40 W CO2 inhalation sessions and 4.5 min of CWE at 45% VO2 max CO2 inhalation. Forty W exercise data with air breathing were analyzed using 6 min of data sampled every 30 s. The baseline VE and PetCO2 values used were the mean values of the 5 min air rest period.

2.5. Statistical analyses

For statistical comparisons of difference in the CO2 chemosensitivity, paired t tests were used. The statistical package (PASW statistics 25; SPSS) was used for statistical analysis. p < 0.05 were considered significant. We also calculated the effect size (d) with the following formula.

Effect size(d)=AmeanBmeanASD2+BSD2/2.

3. RESULTS

In Figure 1, the CO2 responses to 5–6 min of 3% CO2 are compared. Note that a significant increase in CO2 sensitivity from 0.83 to 3.48 (L/min)/mmHg was observed in the mean response for seven subjects for mild exercise. The change in sensitivity from mild to moderate exercise was less pronounced. In Table 1, a paired comparison of individual subject responses is shown. A statistically significant change (p < 0.01) was indicated. This was a primary goal of this study which then supported the hypothesized improved CO2 testing made possible with 3% inhalation and shortened CO2 exposure time. The question then shifted to the significance of increased sensitivity. In a proportional control system increased loop gain is expected to decrease control error (Khoo, 2001). Loop gain is an important determinant of respiratory control stability and is primarily determined by peripheral chemoreceptor sensitivity. In the present case, PaCO2 should be better controlled. One manifestation of overall control is the correlation of VE to metabolic production rate of VCO2. This is well established in the steady state. Figure 2 shows how measured VE can actually be closely predicted in time from this overall correlation, at least to a resolution of 30 s (VE and VCO2 sampling interval). In Figure 3, the model of Bellville et al. (1979) with central and peripheral chemoreceptor first order dynamics (see Appendix A) was used to fit ventilation responses to the measured PetCO2. Two parameters were estimated from least squares fitting using Matlab fminsearch. The estimated central gain (G c) was 0.565 and peripheral gain (G p) was 1.06 both in units of (L/min)/mmHg. The sum G c + G p = 1.6 can be compared to the resting total sensitivity of 0.83 estimated in Figure 1.

FIGURE 1.

FIGURE 1

CO2 responses from rest to moderate exercise. VE, minute ventilation; PetCO2, end‐tidal partial pressure of CO2. Response slopes: rest 0.83, 40W 3.48, 45%VO2max 5.35 (L/min)/mmHg

TABLE 1.

Paired comparison of subject CO2 sensitivities in (l/min)/mmHg

Subject Rest 40W ∆ (40W‐Rest)
1 0.12 2.26 2.14
2 1.95 3.33 1.38
3 1.54 4.68 3.14
4 0.61 4.72 4.11
5 0.71 3.79 3.08
6 1.70 2.35 0.65
7 0.90 6.41 5.51
Mean 1.08 3.93* 2.86
SD 0.67 1.47 1.65

40W, baseline cycling at 40W.

*

p < 0.001, rest vs. 40W. t (6) = −4.588, p = 0.004, d = 2.495.

FIGURE 2.

FIGURE 2

Correlation of ventilation with CO2 production rate in time. VE, minute ventilation; VCO2, minute carbon dioxide output

FIGURE 3.

FIGURE 3

Central and peripheral model prediction compared to measured ventilation. VE, minute ventilation; G p, peripheral gain; G c, central gain

The averaged transient response to 45% Max MRO2 while inhaling 3% CO2 is shown in Figure 4. Note that 40W exercise with 3% inhaled CO2 preceded and followed this moderate exercise episode. The main new observation is the increase in ventilation following recovery. Figure 4 also shows the transient response to the same exercise level while inhaling air. An increase in ventilation is still seen but at a smaller level. Table 2 compares ventilation measured over 30 s before 45% Maximum VO2 exercise and at the end of the recovery period of 40 W exercise. By paired comparison in seven subjects the mean change of 8.4 L/min was measured. Table 2 compares the PetCO2 and MRO2 measured at the same points as Table 3. Note that PetCO2 actually decreased at the end of recovery so cannot explain this ventilation increase. Similarly, MRO2 change was small and could not account for the ventilation increase. Table 3 is similar to Table 2, but is a paired comparison for the same exercise level breathing air. A mean change of 4.3 L/min was measured which was about half the effect of combined exercise and 3% CO2 inhalation. These results will be discussed later.

FIGURE 4.

FIGURE 4

Averaged ventilation response in seven subjects to 45% VO2max and 3% CO2 inhalation. Values are means ± SEM. Baseline was 40 W exercise and 3% CO2 inhalation. Averaged responses to 45% Maximum VO2 breathing air‐dashed line curve

TABLE 2.

Paired comparison of changes in ventilation, PetCO2, and MRO2‐45% max exercise with 3% CO2 inhalation

Subject Ventilation (L/min) PetCO2 (mmHg) MRO2 (ml/min)
Pre Post Pre Post Pre Post
1 31.6 47.9 51.5 45.7 984 973
2 36 37.5 46.7 47.4 869 880
3 42.2 48.4 48.9 45.2 940 1008
4 38.6 45.8 47.7 46.8 991 977
5 48.8 55.2 47.6 45.8 1066 1103
6 35.2 48.6 49.4 45.1 952 1011
7 41.2 49.3 48.4 48 980 1010
Mean change 8.44 −2.31 25.7
SD 4.92 2.35 32.1
t(6) 4.5 2.6 2.12
p <0.01 <0.05

TABLE 3.

Paired comparison of baseline changes in ventilation, PetCO2, and MRO2‐45% Max exercise breathing air

Subject Ventilation (L/min) PetCO2 (mmHg) MRO2 (ml/min)
Pre Post Pre Post Pre Post
1 28.9 35.6 43.4 40.4 1013 1158
2 26.8 32.2 42.7 41.2 923 1032
3 29.9 37.9 41.1 38.3 880 1052
4 28.4 30.5 42.6 42.2 1006 977
5 38.1 37.5 40.2 39.5 1070 1111
6 28.1 33.8 41.8 40.3 964 1103
7 31.4 34.4 41.4 40.4 951 1031
Mean change 4.33 −1.56 93.9
SD 2.99 1.01 69.6
t(6) 3.83 4.1 3.57
p <0.01 <0.01 <0.02

4. DISCUSSION

The use of rebreathing during exercise to test CO2 responses has been popular due to the simplicity of administration. However, interpretation of the divergent results has been difficult. The first factor to consider is inspired CO2 level. The experimental protocol followed by Miyamura et al. (1976) will be used as an example. Resting rebreathing started with an initial CO2 percentage of 7% as compared to 9%–10% for exercise. These inspired levels especially for exercise are in the range where a negative reaction can result (Miyamura et al., 1976). This could explain depression effects. The time duration of rebreathing is the next factor. Four min was used for rest and 1.5–2 min for exercise. The average time constant for the central chemoreceptors is about 3 min (Bellville et al., 1979). This means that resting responses could be closer to steady state and larger than exercise just due to differences in allowed equilibration times. The ratio (1−exp (−1.5/3))/(1−exp (−4/3)) = 0.53 is the predicted step response difference just due to the different 1.5 and 4 min equilibration times. So central chemoreceptor exercise rebreathing responses would be underestimated by about 50% in a comparison. Next to consider is the range of PetCO2 covered. The resting range was 50–70 mmHg as compared to 60–95 mmHg for exercise. The non‐linear shapes of several of the exercise responses were clearly visible in the published plot. At high CO2 levels saturation is apparent and can easily decrease sensitivity by another 50%. A comparison of response slopes is then questionable in significance.

Duffin et al. (1980) have questioned the validity of using PetCO2 as an index of stimulating central chemoreceptors during rebreathing and concluded that exercise does not increase chemosensitivity. Rebreathing was not used in the present study so there was a difference in methodology. Our inhaled CO2 was limited to 3% while the starting rebreathing level used by Duffin et al. (1980) was 7% who noted that three of their subjects could not complete the exercise rebreathing test due to reaching maximum ventilation levels. Maximum VE was not reached in our subjects despite similar exercise level (40 instead of 50 watts). Also, our conclusions do not rely on CO2 inhalation effects during exercise since an enhanced CO2 sensitivity was found during exercise with air breathing. The only comparison made was to 3% CO2 inhalation at rest. To better estimate PaCO2 we used the empirical formula of Jones based on measured end‐tidal and tidal volume which was validated in normal exercising subjects as leading to agreement to within 1.04 mmHg of direct samples of arterial blood.

The current study compared 3% CO2 inhalation in a sequential manner from rest, 40W, 45% VO2 max all with durations of 5–6 min. A similar exercise sequence was also used with the subjects breathing air. All seven subjects tolerated the protocol without complaint. The upper range of PetCO2 was below 55 mmHg. Non‐linear effects related to CO2 was not observed for this rest moderate exercise sequence.

The current results agreed with the previous conclusion (Weil et al., 1972) that chemosensitivity was enhanced during mild exercise and was not significantly increased at higher levels of exercise. VE during the on transient of mild exercise also closely correlated with VCO2 rate dynamically. This correlation in time has been previously discussed (Whipp, 2007), but not specifically used to predict VE as in Figure 2. The more recent results of Poon and Greene (1985) added controlled PetCO2 during exercise and also confirmed enhanced chemosensitivity during exercise.

To test how chemosensitivity enhancement could affect exercise responses, a previous model of central and peripheral dynamics (Bellville et al., 1979) was fitted to mild exercise data during air breathing (0% CO2 inhalation). The measured PetCO2 values were used as input and VE responses were used as output to estimate G c and G p according to a least squares model fit. A close fit was obtained as shown in Figure 3. The total chemoreceptor gains estimated were about a factor of two higher than the measured resting gain (Figure 1). The close fit to VE of Figure 3 and correlation of VE to VCO2 rate (Figure 2) implied that increased chemoreceptor gains could be the underlying mechanism behind this matching. Individual subject exercise responses could also be closely fitted as shown in Figure 5. A complete summary of the individual fits is shown in Table 4. Two parameters G p and G c were adjusted for a least squares fit as indicated for Figure 3. The sum of the two was compared to the resting sensitivity (Grest) as listed in Table 1 for each subject. The paired comparison showed a mean increase from rest of 1.79 (L/min)/mmHg which was a statistically significant change (< 0.01). The G p during exercise was consistently larger than Grest for all subjects with a mean paired difference of 1.04 (L/min)/mmHg (< 0.01). The results were consistent with a significant increase in peripheral chemoreceptor sensitivity in method (during mild exercise). Central chemosensitivity must account for the mean difference of 1.79−1.04 = 0.75 (L/min)/mmHg. In conclusion, both peripheral and central chemosensitivity to CO2 increased in mild exercise with the peripheral chemoreceptors playing a dominant role. This was a previously unreported result that demonstrated the utility of the dynamic model fitting method (Bellville et al., 1979). Use of 3% inhaled CO2 during mild exercise does not lead to secondary non‐linear effects or require different equilibration times for rest and exercise.

FIGURE 5.

FIGURE 5

Individual subject 40W exercise response fitted with model. VE, minute ventilation; G p, peripheral gain; G c, central gain

TABLE 4.

Exercise subject chemosensitivity ([L/min]/mmHg)

Subject G rest G p G c G p + G c (G p + G c)−G rest G pG rest
1 0.12 2.09 0.42 2.51 2.39 1.97
2 1.95 2.33 0.65 2.98 1.03 0.38
3 1.54 1.99 1.21 3.20 1.66 0.45
4 0.61 1.56 0.77 2.33 1.72 0.95
5 0.71 1.63 1.21 2.84 2.13 0.92
6 1.70 2.45 0.91 3.36 1.66 0.75
7 0.90 2.73 0.10 2.83 1.93 1.83
Mean 1.08 2.11 § 0.75 2.86* 1.79 1.04
SD 0.67 0.43 0.41 0.36 0.43 0.63

G rest, resting gain; G p, peripheral gain; G c, central gain.

*

p < 0.001, G p + G c versus G rest. t (6) = −10.995, p = 0.000, d = 3.310.

§

p < 0.01, G p versus G rest. t (6) = −4.352, = 0.005, d = 1.830.

Long‐term facilitation of ventilation has attracted considerable attention due to the likelihood of leading to brain serotonin release (Mihorn et al., 1980). Chemoreceptor stimulation in animals was the initial focus and repetitive stimulations were found necessary to produce measurable facilitation which was long lasting. In humans, intermittent hypoxia with a background of hypercapnia was found to be effective to produce LTF (Griffin et al., 2012; Mitchell & Johnson, 2003; Wadhwa et al., 2008). Since the current and previous reports showed enhanced chemoreceptor stimulation in exercise, it seemed possible that adding hypercapnia might lead to LTF. The current results were consistent with LTF when the baseline involved light exercise (40W) and a step change was made to 45% maximum MRO2 for 6 min followed by a step return to 40 W exercise while inhaling 3% CO2. This on followed by off can then be classified as an intermittent stimulation except it is not repeated. An average ventilation facilitation of 8.4 L/min was measured in seven subjects with no significant change in MRO2 and a decrease in PetCO2 of 2.3 mmHg. The decrease in PetCO2 was interpreted as indicating a larger facilitation was predicted by correcting for CO2 sensitivity which was measured (Table 4‐combined G c+G p). Thus, up to a predicted 8.4 + 2.3 × 2.9 = 15.1 L/min of LTF can be justified. Something other than PetCO2 or MRO2 was then responsible for this ventilation change. LTF is a possible explanation. The "off" ventilation response to moderate exercise was remarkable in that the immediate response fell below the control level before increasing. This was observed with or without 3% CO2 inhalation. In exercise this immediate response can be tied to a neurally mediated rate sensitivity (Yamashiro & Kato, 2014). The ensuing increase following the immediate decrease may be due to a transition not to rest but light exercise. The "on" ventilation transient does not show such a large initial transition, so rate sensitivity was only present during the "off" transient. Transition to rest following an exercise usually shows a small rapid neurally mediated decrease followed by a slower decrease back to resting ventilation. The transient change between light and moderate exercise and inhalation of 3% CO2 appears to involve a strong neural rate sensitivity component tied to exercise which is absent from prior intermittent hypoxia trials. This may be relevant because LTF is a neurally mediated response.

Part of the neural response to exercise which is completely different from hypoxic and hypercapnic responses is the effect on functional residual capacity (FRC) (Cha et al., 1987). The connection to ventilation is because the FRC decrease occurring in light exercise (Cha et al., 1987) is tied to an increased tidal volume of 7% vital capacity (approximately 350 ml for a human subject) which can account for a ventilation of 8.8 L/min for a breathing frequency of 25 breaths/min expected in light exercise. Such increased ventilation and decreased FRC requires involvement of the expiratory muscles. This ventilation change is close to what was measured following recovery to moderate exercise and 3% CO2 inhalation. Both hypoxia and hypercapnia have been reported to increase FRC by 14%–15% (Garfinkel & Fitzgerald, 1978). Thus, during combined CO2 inhalation and moderate exercise FRC effects can cancel out. When moderate exercise ends and light exercise resumes the FRC decrease effect can dominate explaining increased ventilation. While CO2 inhalation as used in the present study does continue even in light exercise, the effect of CO2 inhalation is not additive and is significantly larger due to the higher exercise ventilation level in moderate exercise.

Exercise of 45% Maximum while breathing air resulted in a ventilation increase of 4.3 L/min (< 1%) and a decrease in PetCO2 of 1.6 mmHg (< 1%). Again, the increase in ventilation cannot be accounted for by PetCO2. MRO2 did increase by 93.9 ml/min (< 2%), but based on the measured respiratory quotient of 0.9 and measured correlation of ventilation and MRCO2 as shown in Figure 2 (0.02663), the estimated ventilation increase was 0.9 × 93.9 × 0.02663 = 2.3 L/min. Thus, exercise alone after accounting for MRCO2 change was 4.3 – 2.3 = 2 L/min. Accounting for the decrease in PetCO2 of 1.6 mmHg will increase the estimate to 2 + 1.6 × 2.9 = 6.6 L/min. This is 44% of the 15.1 L/min estimated for combined exercise and 3% CO2 inhalation. We conclude that combined 45% maximum exercise and 3% inhaled CO2 for 6 min followed by a return to light exercise was effective in stimulating augmented ventilation resembling LTF. This conclusion is also consistent with the previous report of enhanced LTF when a background of hypercapnia is used during chemoreceptor stimulation by intermittent hypoxia (Harris et al., 2006).

Facilitation of ventilation following passive exercise has been reported in a case study of a paralyzed human subject (Nash et al., 2004). Treadmill exercise was applied for 7 min duration with robotic assistance. Reported ventilation was 7.2 before, 9.6 during, and 9.2 L/min following with measured oxygen consumption returning to control levels immediately following exercise. This report is consistent with the current findings. Mitchell and Johnson (2003) have reviewed respiratory neural plasticity and cited some animal studies supporting such plasticity in hypercapnic exercise, but experimental evidence in man was lacking.

The chemosensitivity and LTF responses during hypercapnic exercise appears highly sensitive to levels of exercise, hypercapnia, and durations of stimulation. This is based on the relative paucity of positive reports. Responses can then range from depression to enhancement. Three percent inhaled CO2 appears to be a good choice to produce enhancement. Also, the baseline exercise of 40 W and step level of 45% max MRO2 for 6 min appears effective as well for enhancement of both effects.

One limitation of the current results was only male subjects were used, so the effect of subject sex is unknown. The studied subjects appeared to be all healthy and not on any medication which might influence the results.

CONFLICT OF INTEREST

No conflicts of interest, financial or otherwise, are declared by the author (s).

AUTHOR CONTRIBUTIONS

S.Y. and T.K. conception and model development. T.K. and T.M. was responsible for collecting the experimental data. S.Y. drafted manuscript. T.K. edited and revised manuscript. S.Y., T.K., and T.M. approved final version of manuscript.

APPENDIX A.

Central and peripheral chemoreceptor model

The model used was a simplified version of Bellville et al. (1979). It consisted of two differential equations:

Variables: y p = ventilation change due to peripheral chemoreceptor = DVEp; y c = ventilation change due to central chemoreceptor = DVEc; DVE = y p + y c = change in total ventilation from resting level in L/min; DPetCO2 = change in PetCO2 from resting level in mmHg; G p = peripheral gain in (L/min)/mmHg; G c = central gain in (L/min)/mmHg; T p = peripheral time constant in min; T c = central time constant in min; Tdp = peripheral time delay in min; Tdc = central time delay in min; xin = DPetCO2.

Tpdyp/dt=xin(tTdp)Gpyp, (A1)
Tcdyc/dt=xin(tTdc)Gcyc. (A2)

Both of the above equations are first order and can be simulated in Matlab using transfer functions defined as:

Hp=tf([0Gp],[Tp1],‘InputDelay’,Tdp);for A1,
Hc=tf([0Gc],[Tc1],‘InputDelay’,Tdc);for A2.

Simulation outputs were obtained by:

yp,=lsimHp,xin,t,0;
yc,=lsimHc,xin,t,0;

where t = solution time in minutes and 0 sets the initial condition to 0.

All of the temporal parameters were set to normal values as given by Bellville et al. (1979) and kept constant throughout. G p and G c were adjusted to minimize the least squares difference between measured and model predicted ventilations. The Matlab function fminsearch was used in combination with the above transfer function models for least square fitting. The fixed temporal constants were:

Tp=0.15,Tc=1.67,Tdp=0.2,andTdc=0.2all in minutes.

Yamashiro, S. M. , Kato, T. , & Matsumoto, T. (2021). Altered chemosensitivity to CO2 during exercise. Physiol Rep. 2021;9: e14882. 10.14814/phy2.14882

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