Abstract
OBJECTIVE:
To develop a three-dimensional computer model to predict levator ani muscle stretch during vaginal birth.
METHODS:
Serial magnetic resonance images from a healthy nulliparous 34-year-old woman, published anatomic data, and engineering graphics software were used to construct a structural model of the levator ani muscles along with related passive tissues. The model was used to quantify pelvic floor muscle stretch induced during the second stage of labor as a model fetal head progressively engaged and then stretched the iliococcygeus, pubococcygeus, and puborectalis muscles.
RESULTS:
The largest tissue strain reached a stretch ratio (tissue length under stretch/original tissue length) of 3.26 in medial pubococcygeus muscle, the shortest, most medial and ventral levator ani muscle. Regions of the ileococcygeus, pubococcygeus, and puborectalis muscles reached maximal stretch ratios of 2.73, 2.50, and 2.28, respectively. Tissue stretch ratios were proportional to fetal head size: For example, increasing fetal head diameter by 9% increased medial pubococcygeus stretch by the same amount.
CONCLUSION:
The medial pubococcygeus muscles undergo the largest stretch of any levator ani muscles during vaginal birth. They are therefore at the greatest risk for stretch-related injury.
Pelvic floor dysfunction, which includes urinary as well as fecal incontinence and pelvic organ prolapse, is a major women’s health problem. The annual cost of treating urinary incontinence alone in the United States is $12.4 billion (in 1995 dollars).1 Indeed, 11% of American women eventually require surgery for pelvic floor dysfunction, including urinary incontinence and pelvic organ prolapse.2 Epidemiological studies have associated pelvic floor dysfunction with prior vaginal delivery.3,4 However, although “falling of the womb” and other pelvic floor problems were first described in the Kahun Papyrus,5 approximately 3000 years later, the specific birth-induced injuries that result in pelvic floor dysfunction remain to be fully characterized and their mechanisms understood. With three million vaginal deliveries in the United States annually,6 and the risk to the pelvic floor being potentially modifiable, new insights could help prevent injuries and their sequelae in several hundred thousand women every year.
The striated muscles of the levator ani form an important element of the structural support mechanism in the pelvis. Striated muscles are known to be most susceptible to injury when forcibly lengthened; the extent of the injury is proportional to the work done on the muscle (the product of the force causing one end of the muscle to move relative to the other times the distance moved) during the stretch.7 Injury to the levator ani muscles as a result of vaginal birth has been documented.8 However, neither the degree to which the levator ani muscles are stretched during birth nor the identity of those muscles most prone to stretch-related injury has been quantified, in part because such measurements are presently not feasible in laboring women. Because the levator ani play a critical role in pelvic floor function, damage associated with what would appear to be large stretch during vaginal delivery is potentially an important pathomechanical factor.
The overall three-dimensional shape of the pelvic floor has been visualized with magnetic resonance imaging.9 Although the length and morphology of its individual muscle fibers have been measured,10 their three-dimensional lines of action, needed to begin the analysis of injury mechanisms, remain to be measured. Furthermore, quantification of the geometric changes in these muscles during the second stage of labor is needed. Birth must impose a remarkable degree of distension in these muscles if one assumes that the diameter of the molded fetal head (ie, 9 cm, based on data from Chitty et al11) is approximately four times the initial diameter of the urogenital hiatus (ie, 2.5 cm, according to DeLancey and Hurd12) in the levator ani muscle through which the head must pass during the second stage of labor. In this case, assuming circular geometry, the circumferential length of the circumvaginal tissue would increase fourfold in proportion to the ratio of the two diameters. Materials scientists usually quantify large, soft tissue deformations with the term “stretch ratio,” rather than “strain,” which is reserved for small deformations. The stretch ratio is defined as the ratio of tissue length under stretch to the original tissue length. Hence, in the preceding example, the circumvaginal tissue stretch ratio would have a numerical value of 3.54.
At the present time, it is not known which pelvic floor structures experience the greatest tissue stretch, what the magnitude of stretch is, or when during labor the greatest stretch is sustained. Injury is known to result when muscular or collagenous structures are deformed beyond certain limits.13 This report therefore describes a computer model of the pelvic floor, as well as its subsequent use to estimate the levator ani stretch ratios induced during the second stage of simulated vaginal birth.
MATERIALS AND METHODS
A three-dimensional computer model of the levator ani muscles attached to a bony pelvis was created. As the first step, a 34-year-old nulliparous white woman gave written informed consent to be scanned with a 1.5-T General Electric magnetic resonance imaging scanner as part of the institutional review board–approved study. She was one of 80 healthy young women scanned who met the following inclusion criteria: age less than 45 years, no previous vaginal delivery, no symptoms of urinary incontinence, normal support on pelvic examination, and absence of genital or neurological abnormalities that might influence pelvic floor function. Within this sample, her scans proved to be of superior image quality, and the geometry of her bony pelvic floor attachment points within one standard deviation of the mean size and shape: a 75th percentile sagittal diameter (measured from the midline of the arcuate pubic ligament to the center of the sacrococcygeal junction) and a 44th percentile lateral diameter (ischial spine separation distance).
Thirty axial and 30 coronal magnetic resonance images, each 5 mm thick, were taken of the pelvic region. The relevant outlines of relevant structures were digitized from these consecutive 5-mm-thick proton density axial magnetic resonance scans in the sagittal and transverse planes on the basis of our previous experience.14 These structures included the pelvic bones, and each element of the levator ani muscle along with its connective tissue origin and insertion. The portions of the pelvic organs (urethra, lower vagina, and internal and external anal sphincters) were also outlined in each scan and digitized. The digitized outlines of each structure were imported into I-DEAS (EDS, Plano, TX), an engineering graphics software package.
The imported profiles were connected (“lofted”) to render solid three-dimensional objects representing the levator ani muscles, surrounding pelvic bones, and organs (Figure 1). The scans focused on the pelvic floor and did not contain the portions of the pelvic bones above the relevant attachment points. To better orient the reader, the surfaces of a complete pelvis were digitized in three dimensions to the nearest millimeter with a Optotrak 3020 system (Northern Digital, Waterloo, Ontario, Canada) and the points imported into I-DEAS. The surfaces were lofted and resized to conform to the points of soft tissue origin and insertion (pubic symphysis, iliac spines, coccyx, and sacrum) as measured on the magnetic resonance scans without changing the geometry of the pelvic floor soft tissues. Because muscle fiber direction is not consistently visible on the magnetic resonance scans, fiber direction was based on known origin-insertion pairs established in the literature.15,16
The passive connective tissues in the pelvic floor model followed published observations.17 Thus, the arcus tendinea of the levator ani connected the left and right ischial spines, and their bony insertions 1 cm on either side of the pubic symphysis (Figures 1 and 2).
To construct the pelvic floor model, three pairs of levator ani muscles were included: the pubococcygeus and the puborectalis (called collectively the pubovisceral muscles18), and the iliococcygeus muscles, which were based on descriptions in the existing literature15–17,19 (Figures 1 and 2). The pubovisceral muscles form a U shape as they originate from the inner surface of the pubic bone on either side of the midline and insert into the vagina, perineal membrane, perineal body, and anal sphincter complex, as well as forming a sling behind the rectum (Figures 1 and 2). The paired iliococcygeal muscles originate from the arcus tendineus of the levator ani, cross over the midline at the anococcygeal raphe, and continue on the contralateral side. The iliococcygeus muscle forms a horizontal sheet that spans the opening in the posterior region of the pelvis between the pubococcygeus muscle, the posterior ilia, and sacrum.
This information was used to construct 24 individual model muscle bands that followed the parallel-fibered architecture of the levator ani muscle and its subunits. These bands were numbered, for reference purposes, from 1 to 24 in a ventrodorsal direction and labeled with a prefix (PC, pubococcygeus; PR, puborectalis; or IC, iliococcygeus) indicative of the muscle each partially represents. For analysis purposes, we measured the length of the center line of each 1-mm-thick by 5-mm-wide muscle band. Each band connected origin-insertion pairs via the shortest path passing through each of the sagittal and transverse plane cross-sectional muscle profiles traced from the magnetic resonance scans (Figures 1 and 2). The width of the muscle bands was chosen to give a manageable number of muscle bundles that would allow each region of the muscle to be studied.
Once the pelvic floor model was completed, we next used the model to estimate average levator ani muscle stretch ratios in individual parts of the muscle and their spatial distribution during descent of the fetal head through the pelvis in the second stage of vaginal delivery. To do this, a simulated fetal head was passed incrementally through the pelvis (Figure 3). The fetal head’s course was constrained by the pubic rami in the front, but also by the ischial spines on each side and the sacrum at the back to form the familiar curve of Carus. The path of the head’s equator formed a “birth tube” around which the soft tissues had to stretch.
As a first-order approximation, the fetal head was simulated with one of three different-sized spheres, after taking into account the 20% reduction in diameter that typically occurs as a result of the effect of molding20: 8 cm diameter (representing the third percentile molded fetal head); 9 cm diameter (for the 50th percentile); and 9.84 cm diameter (for the 97th percentile).11 Following obstetrical convention, fetal head descent was assessed relative to a line joining the ischial spines (defined as “0 cm” descent). After 3 cm of descent (“station +3”), the point of closest approximation of the surface of the head passed 1 cm behind and tangential to the posteroinferior surface of the pubic symphysis. The 1-cm distance between the head and the pubis represents the space occupied by the compressed pelvic soft tissues.
Soft tissue stretch ratios were calculated along the center of each muscle band for the incremental steps of fetal head descent during vaginal delivery. Calculations of muscle stretch needed for the muscle to wrap around the fetal head were based on the assumption that, during birth, the fetal head would displace the levator ani muscles a maximum of 9.0 cm in a craniocaudal–ventrodorsal direction as it passed through them. This distance was determined from measurements made from published anatomic observations during birth.21 In the absence of data to the contrary, the 23 ilio- and pubococcygeus muscle bands were assumed to remain equally spaced when contacting the fetal head through each stage of the simulated birth (Figure 3). The sensitivity of our results to violations of this assumption is provided in Results. The pubovisceral muscles were assumed to have unchanged origins and insertions.
The fetal head was placed at each of eight equally spaced locations along the curve of Carus between the point when the iliococcygeal muscle was engaged by the head until the “biparietal” diameter passed the pubococcygeal muscle. This process was started when the vertex of the head contacted the iliococcygeal muscles after it had descended 1.1 cm inferior to a reference line joining the left and right ischial spines. The overall stretch in each muscle band engaged by the fetal head was then measured as it passed in a straight line from its origin to wrap tangentially about the head. The arcus tendineus, consisting of dense regular connective tissue, was assumed inextensible yet sufficiently flexible to bend laterally around the descending fetal head.
RESULTS
Seven muscle bands were engaged by 1.1-cm fetal head descent, two more by 2.1-cm descent, one by 3.2-cm descent, and the last muscle band, the medialmost member of pubococcygeus (PC2), was engaged by 4.2 cm of head descent (Figure 4). The maximal increase in muscle stretch that occurred with each increment of fetal head descent (shown by the steepest slope of each curve in Figure 4) occurred in seven muscle bands between 1.1-and 2.9-cm head descent. However, for the pubococcygeus bands (PC3, PC5, and PC7) the corresponding maximal increase in stretch ratios occurred between 4.7-and 6.4-cm descent). For the medialmost pubococcygeal band, PC2, the maximal increase occurred between 4.2 and 4.7 cm.
A sigmoidal relationship was found between fetal head descent and muscle stretch (Figure 4). Despite being the last muscle to be engaged, the medialmost pubococcygeus muscle (PC2) exhibited the largest stretch ratio of any muscle, 3.26, at 9.9 cm of head descent; this value exceeded the maximal stretch in other muscles by 19% or more (Figures 4 and 5). Different regions of the iliococcygeus muscle, IC13, IC11, IC15, IC9, IC20, and IC24 stretch ratios reached 2.73, 2.54, 2.42, 2.22, 1.50, and 1.13, respectively. The other pubococcygeus muscles (PC3, PC5, and PC7) exhibited stretch ratios of 2.50, 2.11, and 1.96, respectively, whereas puborectalis (PR1) reached an intermediate value of 2.28. The large stretch ratio occurred in the medialmost component (PC2) of the pubococcygeus muscle as a result of its short initial length (Figure 5) and the location of its origins near the midline (Figures 2 and 3). Note that the stretch ratio is influenced both by the initial length and also by the degree of elongation that occurs with dilatation caused by the fetal head. Although the puborectalis muscle has similar origin to the pubococcygeus, its longer initial length resulted in a relatively smaller maximal stretch. The smaller stretch in the iliococcygeal muscles may be attributed to their more lateral and posterior origin. The inferiormost point on the PC2 pubococcygeus muscle displaced a maximum of 96 mm in a craniocaudal–ventrodorsal direction as a result of distension by the fetal head after negotiating the curve of Carus. Only 5 of the 24 muscle bands had stretch ratios less than that which would injure nongravid striated muscle in the extremity (Figure 5).7
Muscle stretch ratios were found to be proportional to fetal head diameter: Reducing fetal head diameter by 11% diminished the medialmost coccygeal muscle band stretch by 10.5%, whereas enlarging fetal head diameter by 9% increased that muscle stretch by 8.8%.
To assess the sensitivity of these findings to the degree of downward descent experienced by the levator ani muscles during head descent, we investigated the sensitivity of the predicted muscle stretch to 5|SD variations in the inclination of the plane containing bilateral pairs of muscle bands: Variations were less than 0.25 stretch ratios for the lower iliococcygeal, pubococcygeal and puborectal muscles (PR1 to IC13) between 6.4- and 7.9-cm fetal head descent; and less than a 0.09 value of the stretch ratio between 9.1- and 9.9-cm head descent. For the posterior iliococcygeal muscles (IC15 to IC24), variations were less than 0.04 stretch ratios between 2.9-and 4.7-cm head descent; and less than 0.06 stretch ratios between 6.4- and 9.9-cm head descent.
DISCUSSION
The maximum pubococcygeal (PC2) muscle stretch ratio of 3.26 found in this study exceeds by 217% the largest noninjurious stretch (1.5 stretch ratio, upper limit of shaded region, Figure 4) observed in nongravida passive striated appendicular muscle.7 If injury could be caused by fiber stretch exceeding a maximal permissible value, we conclude that the medialmost pubococcygeus muscle is at a greater risk for injury than any other levator ani muscle during the second stage of labor. The fact that abnormalities are indeed observed in this very part of the levator ani muscle several months postpartum8 (Figures 6 and 7) supports the hypothesis of a stretch-related injury mechanism, although we cannot exclude the possibility of other injury modes. It also provides validation of model results relative to clinical observations.
The medialmost portion (PC2) of the pubococcygeal muscle attaches to the connective tissue of the perineal body. At this point in time, we cannot be certain whether the stretch occurs solely in the pubococcygeal muscle itself, solely in the passive tissues of the perineal body to which it connects caudally, or in both structures in similar or differing proportions. But irrespective of the stretch distribution within the medial pubococcygeus–perineal body complex, the total stretch ratio of the combined structures must reach 3.26 for the fetal head to be delivered. Our findings underline the need to clarify the mechanisms by which the levator ani muscles accommodate these remarkable levels of tissue stretch without injury in the majority of women.
Our graphical analysis circumvents the limitations of current analytical approaches (eg, finite element analysis), which can reliably predict tissue mechanical behavior up to stretch ratios of approximately 1.3, as long as the constitutive relationships between tissue stress, strain, and velocity are known. However, because these relationships are not yet known in the nongravid state, let alone during the second stage of labor, the reliable use of such methods is precluded at the present time. The initial lengths of the model pubococcygeal and iliococcygeal muscles are consistent with experimentally determined values.10 Although our estimates of muscle stretch ratios would depend on the number of muscle bands in the model, where too few bands have been used, our use of 24 muscle bands is consistent with the 22 bands used earlier to measure levator ani muscle fiber lengths.10
We acknowledge several methodological limitations. First, we did not consider time- or stretch-dependent material property effects on tissue stretch; although these may affect the tissue stresses, they will not affect our estimates of the maximum average tissue stretch because they do not affect the inherent geometric difference between the sizes of the prelabor urogenital hiatus and fetal head. Second, for an average cephalic index of 0.83 (the cephalic index is the ratio of the biparietal diameter to the occipital–frontal diameter20), the perimeter of a corresponding ellipse differs by 1% from a sphere, a negligible amount. But variations in maternal pelvic shape, fetal head shape, the degree of molding during delivery, symphyseal diastasis, types of episiotomies, and presenting orientation may undoubtedly affect the maximum muscle stretch ratios; although worth investigating, these effects are beyond the scope of this report. Third, stretch is not necessarily uniform along the tissue band, as assumed; it can vary locally along and across a muscle band,22 especially if thickness varies.23 Fourth, the association between magnitude of pelvic muscle stretch, muscle architecture and tissue properties, and the risk of injury is unknown, particularly given the possibility for modulation by hormonal mechanisms. For example, pennate muscle architecture is known to allow a greater degree of elongation to failure than parallel-fibered muscles24 such as the levator ani.10 Last, this analysis has focused on the average longitudinal stretch in the muscle bands. During fetal head descent, however, the bands also had to separate from one another in a direction orthogonal to their longitudinal fiber direction, parallel with the curve of Carus, as they were progressively engaged and stretched downward by fetal head descent. This effect resulted in a biaxial stretch state in the muscle bands. However, nowhere did stretch orthogonal to muscle fiber direction exceed the 1.73 value found in the iliococcygeus muscle.
This model can be extended to examine the effects of variations in the following parameters on tissue stretch ratios: maternal pelvic floor geometry, fetal head geometry and presenting orientation, cephalopelvic disproportion, racial differences,25 interspecies comparisons, and, after adding tissue properties, the time history of uterine contractions.
The ischial spines, critical pelvic floor attachment points, protrude prominently into the birth canal, where they often obstruct labor.26 Insights are also needed into why that lateral pelvic floor attachment can rupture from the ischial spine during labor, causing a paravaginal defect in need of surgical repair.27 A logical next step, therefore, would be to study the effects of cephalopelvic disproportion on soft tissue stretch ratios.
This computer model offers a structural paradigm for analyzing how obstetrical factors and interventions might influence levator ani injury risk, because experimental measurements of levator stretch in laboring women are not currently feasible for many clinical and technical reasons. For example, the model can be used to examine the degree to which an episiotomy can ameliorate muscle stretch by temporarily detaching the ends of the muscle band most at risk. In addition, the effect of variations in episiotomy location, depth, and direction may be studied. After the addition of realistic head shapes, it can be used to study the effect of forceps delivery, as well as the effect of malposition, such as occipitoposterior position, on the degree of muscle stretch during delivery.
Acknowledgments
The authors acknowledge the financial support of Public Health Service Grants P60 AG 08808 and DK 51405.
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