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J Appl Physiol 92: 725-735, 2002;
8750-7587/02 $5.00
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Vol. 92, Issue 2, 725-735, February 2002

Fiber architecture of canine abdominal muscles

Aladin M. Boriek, Jaime Ortize, and Deshen Zhu

Department of Medicine, Baylor College of Medicine, Houston, Texas 77030


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

During respiration, abdominal muscles experience loads, not only in the muscle-fiber direction but also transverse to the fibers. We wondered whether the abdominal muscles exhibit a fiber architecture that is similar to the diaphragm muscle, and, therefore, we chose two adjacent muscles: the internal oblique (IO), with about the same muscle length as the diaphragm, and the transverse abdominis (TA), which is twice as long as the diaphragm. First, we used acetylcholinesterase staining to examine the distribution of neuromuscular junctions on both surfaces of the TA and IO muscles in six dogs. A maximum of four irregular bands of neuromuscular junctions crossed the IO, and as many as six bands crossed the TA, which is consistent with a discontinuous fiber architecture. In six additional dogs, we examined fiber architecture of these muscles by microdissecting 103 fascicles from the IO and 139 from the TA. Each fascicle contained between 20 and 30 muscle fibers. The mean length of nonspanning fibers (NSF) ranged from 2.8 ± 0.3 cm in the IO to 4.3 ± 0.5 cm in the TA, and the mean length of spanning fibers ranged from 4.3 ± 0.5 cm in the IO to 7.6 ± 1.4 cm in the TA. NSF accounted for 89.6 ± 1.5% of all fibers dissected from the IO and 99.1 ± 0.2% of all fibers dissected from the TA. The percentage of NSF with both ends tapered was 6.2 ± 1.0 and 41.0 ± 2.3% for IO and TA, respectively. These data show that fiber architecture in either IO or TA is discontinuous, with much more short-tapered fibers in the TA than in the IO. When abdominal muscles are submaximally activated, as during both normal expiration and maximal expiratory efforts, muscle force could be transmitted to the cell membrane and to the extracellular intramuscular connective tissue by shear linkage, presumably via structural transmembrane proteins.

micromechanics; functional morphology; force transmission; neuromuscular junction


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

THE ABDOMINAL WALL CONTAINS the four most powerful expiratory muscles in mammals: the rectus abdominus (RA), the external oblique (EO), the internal oblique (IO), and the transverse abdominis (TA). In addition to breathing, the abdominal muscles may serve other roles, especially at higher levels of chemical drive or at increased end-expiratory lung volumes. They contribute to protective reflexes, such as coughing, sneezing, and vomiting, generate the intra-abdominal pressures necessary for expiratory efforts, and are active during postural adjustments (21). Understanding how abdominal muscles function physiologically during respiration requires a better knowledge of the architectural design of their muscle fibers. It is known that the internal architectural arrangement of muscle fibers has a significant effect on length-tension relationship, shortening velocities, and force-generating capacity of the muscle (24).

In vivo, abdominal muscles experience pressure load, and, therefore, they may carry stress, not only in the longitudinal direction of the muscle fibers but also transverse to the fibers. However, unlike the diaphragm, the abdominal muscles are arranged in multiple layers with fibers in an individual muscle oriented perpendicular to fibers in the adjacent muscle. For example, the IO and EO are oriented in such a way that the direction of muscle fibers in the IO is perpendicular to the direction of muscle fibers in the EO. Therefore, unlike the diaphragm, the abdominal muscles could carry stress only in the direction of muscle fibers. We wondered whether abdominal muscles exhibit a fiber architecture that is similar to diaphragm muscle. We chose the two internal abdominal muscles, the IO and TA. These muscles are adjacent to each other and are separated by a network of connective tissue. Therefore, during respiration, myofascial force transmission is expected between the two muscle layers, the IO and TA, via the interfacial connective tissue. Furthermore, the IO has about the same muscle length as the costal diaphragm muscle, and the TA is twice as long as the diaphragm. Functionally, the TA and IO are loaded with pressure and respond more to increases in chemical or volume-related drive than do the two external abdominal muscles, the RA and EO (21).

Anatomically, the IO is a muscle that lies internal to the EO muscle in the lateral abdominal wall. The IO muscle originates from the thoracolumbar fascia, the anterior half of crest of ilium, and the inguinal ligament; it inserts into the lower three ribs, the sheath of rectus muscle, and the inguinal aponeurotic fold. The TA is the most internal abdominal muscle, and it lies in the lateral and ventral abdominal wall between the internal surface of the IO and the costal cartilage (26). The TA originates from the 7th through the 12th costal cartilage, the lumbar fascia, the iliac crest, and the inguinal ligament and inserts into the xiphoid cartilage and the linea alba. Contraction of abdominal muscles during expiration causes an inward displacement of the abdominal wall and an increased abdominal pressure, which displaces the diaphragm into the thorax and decreases lung volume (9). Thus abdominal muscle activation appears to improve the pressure-generating capacity of the diaphragm and increase its ability to expand the lower rib cage (9). For anesthetized supine dogs quietly breathing, studies show that the TA is the primary active muscle and the only abdominal muscle involved during expiration (8). Furthermore, the TA shows activity during speech, laughter, voluntary contractions of the abdominal wall, and hyperoxic hypercapnia (7). During inspiratory elastic loading, the TA helps in the reduction of the diameter of abdominal anteroposterior, which helps to push the incompressible abdominal viscera against the diaphragm and decrease functional residual capacity (7). Because the IO is physically attached to the TA, any contractile forces generated by TA may be transmitted directly to the IO muscle through connective tissue that is tightly connected to both TA and IO muscles.

Traditionally, the myofibers of parallel-fibered strap muscles in vertebrates have been assumed to run the full length of the muscle (12, 19). However, our laboratory (2, 4) and others (16) demonstrated that the majority of muscle fibers of the diaphragm in either the dog or the cat are short fibers. These fibers are attached to either insertion and terminate by tapering gradually to a very fine thread before reaching the other insertion. This architecture of muscle fibers was also shown in the cat strap muscles (24, 28). Furthermore, in the RA of the rat, a mixed population of spanning (SPF) and nonspanning fibers (NSF) was found in different parts of the muscle (18).

In this paper, we tested the hypothesis that the abdominal muscles of the IO and TA have discontinuous fiber architecture with more short fibers that are tapered and end intrafascicularly. Additionally, we examined whether length of the abdominal muscles has an effect on muscle-fiber architecture. The TA is about twice as long as the costal muscle of the diaphragm, whereas the IO is about the same length as the costal diaphragm. To answer these questions, first we stained the IO and TA muscles for acetylcholinesterase activity to determine the macroscopic organization of neuromuscular junctions (NMJ) and gain insight into their fiber architecture. Then we dissected single muscle fibers from either the TA or the IO muscles. In addition, we analyzed the shape of these fibers to assess the mechanism by which force is transmitted across the interface between muscle fibers and the surrounding endomysial component of connective tissue. Our results demonstrate that these abdominal muscles have a discontinuous fiber architecture, as shown by the multiple NMJ bands that are visible on the surfaces of the IO and TA muscles and the length of dissected single fibers from either muscle. Muscle length of the abdominal muscles appears to be a major determinant of their fiber architecture. About 10% of those fibers dissected from the IO spanned the entire length of the muscle, whereas SPF were <1% of all fibers dissected from the TA. The NSF of the shorter muscle, the IO, were mostly attached to one insertion and ended intrafascicularly by tapering to a very fine strand. Only ~6% of total fibers in the IO were not attached to either insertion and tapered at both ends. In contrast, the TA had nearly a seven times greater percentage of fibers that were not attached to either insertion.


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

We were able to harvest abdominal muscle from 12 mongrel dogs that were being used for other studies at the time they were euthanized. Below we describe the methodology used in both the experimental protocol for the NMJ study and the single-muscle-fiber dissection study.

NMJ histochemistry. An established technique was used for histochemically testing the intact muscle for acetylcholinesterase activity to detect motor end-plate distribution on muscle surface (34). This technique is based on the assumption that most muscle fibers are singly and focally innervated (22). Six adult mongrel dogs, weighing from 13 to 17 kg each, were killed by pentobarbital sodium overdose (1 ml/kg). The chest was opened by a bilateral thoracotomy across the sternum, and the abdominal wall was opened by a midline laparotomy. Within 15-20 min of death, both the IO and TA muscles were excised from the left lateral side of each animal with careful separation of the connective fascia between the two muscle layers. Six IO and six TA muscles were excised from the left lateral sides of six dogs, for a total of 12 individual abdominal muscles. The connective fascia between the two muscle layers was carefully separated. Each muscle was sutured onto a rigid polyester screen to limit both muscle shrinkage and muscle distortion during subsequent histochemical processing. Muscles were incubated overnight in 0.5 mg/ml acetylthiocholine iodide in 0.1 M phosphate buffer (pH 6.4), containing 0.1 M sodium citrate, 30 mM cupric sulfate, and 5 mM potassium ferricyanide at room temperature. The samples were then rinsed in distilled water and counterstained in 1% ammonium sulfide until groups of end plates appeared as dark spots. Care was taken to avoid too long a reaction time in the acetylcholinesterase stain, since the reaction product tends to diffuse and migrate to the connective tissues adjacent to the fiber (13). Rinsing the muscle in distilled water and immersing the muscle in 5% formalin blocked the reaction. To obtain the distribution of NMJ on muscle surface of both the IO and TA, we put a transparent plastic sheet on the flat excised muscle without deforming the tissue. The boundary of the muscle and the locations of the NMJ were carefully traced.

Single-muscle-fiber dissection. Six mongrel dogs (19-23 kg) were killed with an intravenous injection of pentobarbital sodium (1 ml/kg). The IO and TA muscle tissues were excised in their entirety from the left lateral side of six dogs, for a total of 12 individual abdominal muscles. Approximately 103 muscle fascicles were removed from the IO and 139 from the TA in strips of ~2 in. wide. These strips were dissected from regions that span the entire muscle. Muscle fascicles appear to run the muscle length and are separated by connective tissue. These fascicles contain ~20-30 muscle fibers.

Muscle fibers were dissected from either IO or TA muscles by using the gold chloride method (16). This method is reliable because it provides a sharp visual contrast between the darkly stained muscle fibers and the unstained interfiber spaces. Strips of excised muscle were fixed in 25% solution of formic acid for 4 h. Each individual muscle was blotted and stained in a 1% gold chloride solution for 6 h, followed by fixation in 25% formic acid for 12 h and a 12-h wash under tap water. To remove the connective tissue and to separate fiber fascicles into individual fibers, the muscles were incubated in 10% nitric solution on an agitation bench (RotoMix type 48200) for 4 days. Muscle strips were then washed and stored through a graded series of glycerin solutions (50, 70, 80, and 100%; 2-3 days each). With the use of a dissecting microscope (a Zeiss Axioplan fitted with a camera lucida attachment), muscle fibers were carefully stripped away from each muscle bundle by fine forceps and needles. The number of SPF and NSF was determined and recorded for each muscle.

The analysis of muscle-fiber length, shape, diameter, and taper angle of eight fibers from the IO and five fibers from the TA was performed using the BioQuant image analysis system. We considered the tapering region to span the tip of a muscle fiber to the first point at which the diameter of the fiber was >= 90% of the maximum diameter (Dmax) (5). The taper angle is the angle at which the fiber surface intersects the longitudinal axis of the fiber. This angle was estimated by using the BioQuant image analysis system to measure several diameters within the tapering region and the longitudinal distances between these points of measurements at ×40 final magnification. The slope of the fitted line of the points on the surface of the tapering region is the tangent of the taper angle (32). This method produced some angles at which the R2 coefficient between the points of measurement in the tapering region was low (R2 < 0.8). In these cases, we calculated 0.9 Dmax using the next smallest diameter from Dmax until R2 was >0.8. All morphological measurements were taken after histochemical treatment.

Assessment of muscle shrinkage. The length of the freshly excised muscle, as well as the length of the same muscle after histochemical treatment, was measured carefully. The shrinkage factor for both muscles was calculated from these measurements.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

NMJ distribution. The distribution of NMJ of the IO and TA muscles of a typical dog after acetylcholinesterase staining is shown in Fig. 1, A and B, respectively. The acetylcholinesterase-positive zones stain as irregularly spaced bands on both surfaces of the IO and TA and are associated with the NMJ of innervating motoneurons. These bands are scattered across most of the muscle surface, as would be required to innervate the short muscle fibers distributed at various positions along the course of the muscle. Direct observation of any NMJ band under high power shows that it is composed of numerous individual spots, each representing a single motor end plate. Some spots are immediately adjacent, but most are separated by gaps that are multiples of cell diameters. A line parallel to the fascicle traverses up to six NMJs distributed along the TA muscle from origin to insertion. In the IO, up to four NMJs traverse the muscle.


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Fig. 1.   Distribution of neuromuscular junction (NMJ) of the internal oblique (IO; A) and transverse abdominis (TA; B) tracked on the surfaces of the abdominal muscle of a mongrel dog. The directions along the muscle fibers and transverse to the muscle fibers are shown for both muscles. The near midline insertion and lateral origin are to the right and the left side of each diagram, respectively. The dots represent the acetylcholinesterase-positive zones associated with the NMJ of innervating motoneurons. Note the transverse multiple bands of NMJ, which run in irregular lines on surfaces of both the IO and TA muscles. These data illustrate that NMJ are numerous and may number, from origin to insertion, as many as 4 across the surface of the IO and as many as 6 across the TA muscle.

Muscle-fiber architecture. The incidence of SPF and NSF in muscle fascicles from the IO muscle of six mongrel dogs is shown in Table 1. SPF spans the entire length of the muscle from origin to insertion. Most NSF were attached to the origin or insertion of the fascicle and terminated intrafascicularly within the muscle. NSF that tapered at both ends were only 6.2 ± 1.0% of all examined fibers in the IO muscle, whereas SPF accounted for 9.8 ± 1.5% of all dissected fibers.

                              
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Table 1.   Fiber occurrence in the internal oblique muscle

Incidence of SPF and NSF in muscle fascicles from the TA muscles of six mongrel dogs is shown in Table 2. SPF in the TA accounted for only 0.9 ± 0.2% of all sampled fibers. Fiber occurrences in the IO and TA are shown in Tables 1 and 2, respectively. In the TA muscle, the percentages of either SPF or NSF that are tapered at one end appeared much less than those in IO. However, the TA appears to have the greatest percentage of NSF that are tapered at both ends, which is greater than the percentage in the IO.

                              
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Table 2.   Fiber occurrence in the transverse abdominis muscle

Incidences of NSF in muscle fascicles from the IO and TA are shown in Table 3. Fibers are classified by site of insertion. Based on light microscopy, there are three types of NSF in the IO: 1) fibers that insert onto the costal cartilage of the lower rib cage and end intrafascicularly within the connective tissue, 2) fibers that originate at the ventral iliac spine and end intrafascicularly within the connective tissue, and 3) fibers that are not attached to either end of the fascicle and taper at both ends. NSF from the TA also exhibited three architectural features: 1) fibers that originated from the lumbodorsal fascia and ended intrafascicularly within the connective tissue, 2) fibers that inserted onto the linea alba and ended intrafascicularly within the connective tissue, and 3) fibers that were not attached to either end of the fascicle and tapered at both ends.

                              
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Table 3.   Occurrences of NSF classified by site of origin

Three types of fibers dissected from IO and TA are shown in Figs. 2 and 3, respectively. Figures 2A and 3A are SPF with two blunt ends that appear to be somewhat rounded. The NSF in Figs. 2B and 3B have a tapered end and a blunt end. Figures 2C and 3C are NSF that do not have a site of insertion or origin and have two tapered ends. It was found that tapering regions are morphologically similar to nontapering regions. That is, at the light microscopy level, striations are visible throughout the tapering regions of the fibers shown in Fig. 2, B3, C2, and C3 and Fig. 3, B3, C2, and C3. NSF with one tapered end may be attached to connective tissue at the blunt end. Muscle fibers overlap extensively along their tapered portions and may be held together through the endomysial component of connective tissue.


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Fig. 2.   A: single spanning fiber (SPF) isolated from the IO muscle is shown. A1: the entire muscle fiber at ×1.9 magnification. A2 and A3: blunt ends of the same muscle fiber at ×250 magnification. B: single nonspanning muscle fiber (NSF) isolated from the IO is shown. B1: the entire muscle fiber at ×3.5 magnification. B2: blunt end of the muscle fiber at ×250 magnification. B3: intramuscular tapered end of the fiber at ×250 magnification. C: single NSF isolated from the IO is shown. C1: the entire muscle fiber at ×2.7 magnification. C2 and C3: intramuscular tapered ends of muscle fiber at ×250 magnification.



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Fig. 3.   A: single SPF isolated from the TA is shown. A1: the entire muscle fiber at ×2 magnification. A2 and A3: blunt ends of the same muscle fiber at ×250 magnification. B: single NSF isolated from the TA is shown. B1: the entire muscle fiber at ×2.4 magnification. B2: a blunt end of the muscle fiber at ×250 magnification. B3: intramuscular tapered end of the fiber at ×250 magnification. C: single NSF isolated from the TA is shown. C1: the entire muscle fiber at ×2.6 magnification. C2 and C3: intramuscular tapered ends of muscle fiber at ×250 magnification. Note that the tapered ends of the fiber in B3, C2, and C3 in Figs. 2 and 3 are morphologically similar to their nontapering regions. Striations are visible throughout the tapering region. No special attachments or other structures related specifically to the tapered free ends could be resolved by light microscopy.

The complexity of the arrangement of fibers within the TA and IO is demonstrated in Fig. 4. A bundle of six NSF taken from the TA attached to one SPF is shown in Fig. 4A. TA bundles of NSF with both ends tapered are shown in Fig. 4B. Examples of bundles of NSF with one end tapered taken from the TA and IO are shown in Fig. 4C, a and b, respectively.


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Fig. 4.   A: 6 NSF that are tapered at both ends and adjacent to a single SPF from the TA muscle with a magnification of ×2.5. B: 3 bundles of NSF with both ends tapered, taken from the TA, with a magnification of ×2.0 are shown. From right to left, a bundle of 5 fibers appear to be attached to 2 bundles of 2 fibers. C: TA bundle of NSF, with 1 end tapered, is shown with a magnification of ×2.6. The 4 fibers are attached to each other at their tapered ends. D: bundle of fibers taken from the IO with a magnification of ×2.6 is shown. Five NSF with 1 end tapered are seen attached to one another at their tapered ends.

Schematic representations of SPF and NSF with different sites of insertion are shown in Fig. 5, A and B, for the IO and TA, respectively. The schematic for the arrangement of fibers in the diaphragm is given in Fig. 5C for comparison. The length of the insertion of muscle fibers is about the same as the length of origin in either the TA or IO. In contrast, the ratio of the length of insertion of the diaphragm muscle on the chest wall to the length of origin on the central tendon is ~1:0.6 (3). The ratio of NSF that insert on the costal cartilage to NSF that originate from the ventral iliac spine is also ~1:1 in the IO. In the TA, the ratio of NSF that insert on the linea alba to NSF that originate from the lumbodorsal fascia is 0.71:1.0. In Table 4, morphological measurements on eight single muscle fibers from the IO and five fibers from the TA are compared. Morphological measurements include the mean ± SE of the 1) length of NSF, 2) percentage of the fiber's total length of the tapering region, 3) angle of tapering, and 4) the Dmax measured in each fiber. Compared with the IO, the TA has longer NSF.


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Fig. 5.   Schematic representation of the actual proportion of fibers that span the entire muscle fascicle (SPF) and NSF with different sites of insertion. A: IO. B: TA. C: midcostal diaphragm muscle. NSF taper to a very fine strand within each muscle. In the TA, SPF make up <1% of the total no. of fibers and are not shown in the schematic. The dimensions of the schematics and the length of fibers within each schematic are proportional to the actual measurements of the IO, TA, and midcostal diaphragm muscles.


                              
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Table 4.   Single-fiber morphology

Muscle shrinkage of the IO and TA was assessed for both treatments. The shrinkage factors calculated for the acetylcholinesterase activity experiments were 0.88 for the IO and 0.81 for the TA. Shrinkage factors for the gold chloride-stained muscles were 0.91 for the IO and 0.71 for the TA.


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

Our histochemical and morphological results demonstrate that IO and TA muscles of the abdominal wall have discontinuous fiber architecture. That is, most fibers in these abdominal muscles were shorter than the entire length of their fascicle. Muscle fibers in the IO were a mixed population of SPF and NSF, whereas essentially all fibers in the TA were NSF. Short fibers in either muscle were tapered along a significant portion of their length, and the absolute total length of the tapered portion of muscle fibers was longer in TA than in IO.

Skeletal muscle is composed of muscle fibers held together by connective tissue, and both the fibers and the connective tissue contribute to the overall mechanics of the muscle (32). A common assumption for architecture composed of muscle fibers that span the entire length of the muscle (SPF) is that the fibers only transmit tensile forces along their lengths. In other words, force is only transmitted along the length of the fiber between the tendon at the origin and the tendon at the insertion. The frog semitendinosus muscle is relatively short and therefore is most likely composed principally of SPF. In a classic study by Street (29) using the frog semitendinosus, both active and resting forces were shown to be transmitted from myofibers to adjacent intramuscular connective tissue. That is, forces are transmitted in a pathway that is parallel to the myotendinous junction (MTJ) pathway (20). Street isolated one end of a single fiber from a bundle and left the other end immobilized within the transected bundle, called the splint. If force was only transferred along a fiber from its origin to its insertion, a splinted fiber should shorten at its free end without transmitting force to its fixed end (27). However, the splinted fibers transmitted 76-100% of the force of a fiber held at both ends. Monti et al. (27) have reasoned that the myofibrils within muscle cells may be linked at various points along the sarcolemma, and force may be transmitted as fibers pull against each other along these portions. Others (24, 28) speculated that force is transmitted across the membrane of active muscle fibers to the connective tissue of the endomysium, which then transmits it to adjacent muscle fibers. Forces may be transmitted from sarcomeres to the extracellular matrix through transmembrane protein chains located at costameres, subsarcolemmal domains regularly spaced along muscle cells (30). These proteins are localized not only at costameres but also at the MTJ as well, which indicates that they have a role in force.

In mammals, longer muscles are composed mostly of short tapered fibers, which show many motor end-plate bands arranged in rows perpendicular to the longitudinal axis of the fascicles (11, 14, 24). A discontinuous fiber architecture is important to ensure synchronous contractions in a long muscle, since myoelectrical transmission is slow (~3 m/s) (24). For example, propagation of an electrical signal from the center to the ends of a 12-cm fiber should be complete within ~20 ms, which is in the same order as the twitch rise time. Therefore, this delay could cause contractions to occur out of phase and lead to a disruptive mechanical instability (24). However, although the length of the IO muscle is about one-half that of the TA muscle, both abdominal muscles have discontinuous fiber architecture. It is possible that shear is an important mechanism of force transmission in muscles that are submaximally activated in vivo. Therefore, architecture with fibers that are tapered and shorter than the length of their muscles is important to carry stresses between adjacent muscle fibers in shear.

The transfer of shear forces is affected by the amount and characteristics of the connective tissue matrix surrounding the fiber and the fascicles and by the shear properties of both active and passive muscle fibers (33). A discontinuous architecture contains tapered fibers that terminate intrafascicularly within the connective tissue (NSF), and these NSF cannot exert purely tensile forces against a conventional tendon. Instead, their forces must be distributed laterally into the surrounding fibers through the connective tissue by means of interfacial shear (17). Tapering fibers ending intrafascicularly are inconsistent with force transmission occurring only at the fiber ends. If this occurred, force would be constant along the muscle bundle, and stress at the sarcomere level would be inversely proportional to the cross-sectional diameter of myofibril. Furthermore, if there were myofibrils of different lengths, maximal contraction of the longest myofibers could exceed the shortening of the shorter fiber, unloading them completely. These considerations suggest that muscle force of individual fibers would be transmitted through MTJ at the ends of the fiber (2). However, in discontinuous fiber architecture, as seen in the IO and TA, muscular force can be transmitted not only through the MTJ but also through the transmembrane proteins at costameres along the muscle fibers. These structural proteins include the integrin complex and the dystrophin complex.

Acetylcholinesterase activity staining has correlated discontinuous muscle-fiber organization with the presence of multiple end-plate bands (2), a study that has been supported by others using muscles with short tapered fibers (14, 24). The multiple NMJ bands visible in the IO and TA muscles are consistent with muscles composed of fibers with a variety of lengths. The distribution of the NMJ bands shows the relative location of muscle fibers in the muscle, and that is based on the assumption that a myoneural junction is located near the middle of a muscle fiber. The average spacing between two adjacent NMJ along the same muscle bundle is smaller in the TA than that for the IO muscle. These results are consistent with the presence of a greater fraction of muscle fibers in the TA that does not reach either attachment of the muscle. Furthermore, the observation that NMJ spacing was greater in the IO than in TA suggests that the ratio of NSF length to SPF length may be greater in the IO than in TA. This is consistent with single-fiber length measurements of NSF and SPF in these muscles.

Because forces may be transmitted by intramuscular endings to the overlying endomysium along the length of the tapered region of a fiber (32), the shape and length of the tapered region are considered important determinants of muscle force transmission. In particular, these determinants affect the stress distribution within the muscle cell and at the interface between the endomysial tissue and the muscle fibers. The magnitude of a taper angle in the tapered short fibers determines the amount of amplification of the surface area of the fiber end relative to the cross-sectional area at the onset of tapering (31). Furthermore, the taper angle determines the mechanism of force transmission between the tapered region of the fiber and connective tissue. Lubkin (25) determined that, for taper angles of ~1°, the shear load parallel to the plane of the membrane is proportional to the cosine of the angle, whereas the tensile load normal to the membrane plane is proportional to its sine. Therefore, forces generated by a fiber (Tfiber) can be transmitted by two components: 1) tensile force that is perpendicular to the surface (Tperp  = Tfiber sin2theta ) and 2) shear force that is parallel to the surface of the fiber (T|| = Tfiber sintheta costheta ), where theta  is the angle of taper at the end of a muscle fiber. Thus a small taper angle creates an interface, which is loaded mostly in shear and maintains constant force throughout the muscle, whereas short, blunt fibers generate a more localized force at the end of the fiber (5). If the force generated by a skeletal muscle fiber was not transmitted across the tapered region, the myofilaments may be required to carry higher loads as the fiber tapers (31). That is, the force per unit cross-sectional area of the filaments at the tapered region would be greater than those of the nontapered region. With the use of the taper angles that we calculated (Table 4), a typical fiber in the IO transmits 7.80 × 10-6 ± 1.21 × 10-7 of Tfiber in tension and 2.79 × 10-3 ± 3.49 × 10-4 of Tfiber in shear. Therefore, shear force is over 350 times greater than tensile force. In the TA, the total force transmitted by a fiber has a tensile component of 2.56 × 10-5 ± 2.74 × 10-7 of Tfiber and a shear component of 5.06 × 10-3 ± 5.24 × 10-4 of Tfiber. Thus shear force is almost 200 times greater than tensile force. Therefore, this confirms that contractile forces are transmitted among fibers essentially in shear. Muscle fibers in the IO appeared to have smaller taper angles than those in the TA, and tapering regions made up a higher proportion of the total fiber length (Table 4). Compared with the TA muscle, the IO is expected to transmit a higher proportion of muscle force in shear. However, compared with the TA, the IO has a much smaller fraction of NSF that tapers at both ends. Therefore, in the TA, there is an increase in the proportion of the total muscle force that is transmitted in shear. The surface of the tapering region is typically very uneven (Fig. 6). The shape of this region gives the shape of the cell membrane along the muscle fiber across which force is transmitted to the extracellular matrix.


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Fig. 6.   Plot of fiber radius against length of fiber in the tapering region of representative fibers from the IO and TA. The tapering region is located between the tip of a fiber and the first point of measurement where the diameter reached 90% of its maximum (5). TA fibers have a shorter tapering region and larger tapering angle than IO fibers (see also Table 4).

Fiber length, an important mechanical determinant of muscle architecture, imposes constraints on muscle function in three ways: 1) the length of the fiber determines the number of sarcomeres in series and the speed of muscle shortening; 2) fibers shorter than fascicle length must transmit their forces in shear to connective tissue within muscle; and 3) long muscles may require more than a single innervation per SPF to excite all regions of the fiber simultaneously. Our muscle-fiber length measurements showed that average length of a SPF in the TA is ~75% longer than SPF in the IO muscle, whereas the average length of a NSF was ~50% longer for the TA. The length of a SPF from the IO muscle was very similar to that of a SPF from the diaphragm muscle of the dog (4), although somewhat longer. The differences in length of the diaphragm, TA, and IO muscles are also reflected by the percentage of NSF in each muscle. About 99% of all fibers in the TA are NSF, compared with 90% for the IO and 79% for the diaphragm. NSF that taper at one end make up 58.1 ± 2.2% of total fibers in the TA, 83.4 ± 1.4% of the fibers in the IO, and 78.3 ± 2.3% of the fibers in the diaphragm. In addition, those fibers that do not span either insertion appear to be greater in the TA (41.0 ± 2.3%) than in either the IO (6.2 ± 1.0%) or diaphragm (1.0 ± 0.4%). Furthermore, more fibers were found in the TA along the length of the muscle than in either the IO or diaphragm. This suggests that the probability that a single fiber will span the length of the fascicle is inversely proportional to the fascicle's length (5). That is, the shorter the muscle, the higher the probability that its fibers span the entire length of the muscle.

The mean diameter of all NSF in the IO and TA was 81.26 ± 5.38 and 124.21 ± 7.77 µm, respectively. Fibers with large diameters have more contractile units in parallel and, consequently, a greater capacity for contractile force development (10). The diameter of a muscle fiber may be determined more by usage than species specificity (5), and our results are consistent with physiological observations that the TA is the most active muscle during expiration (1).

If individual muscle fibers insert diffusely into an epimysial extracellular matrix, then it is possible that the extracellular series elasticity in the muscle can change the way the stretch is distributed within the muscle (24). This allows for possible sliding of discontinuous muscle fibers with respect to one another. Another important source of internal compliance is the passive muscle fibers (31). For example, fibers of the cat tenuissimus muscle that belong to a single motor unit are usually adjacent to fibers belonging to other motor units (23), which implies that the fibers have no members of their own motor unit group as neighbors. In such a muscle, when cells contract, force is dispersed through collagen fibers and noncontracting cells in the muscle (15). Therefore, both passive muscle fibers and connective tissue may contribute to the transmission of stress generated by the contracting muscle fiber (31). Because abdominal muscles are submaximally activated during quiet breathing, it is likely that a large proportion of muscle fibers in the IO and TA are noncontracting, and, therefore, these fibers could play an important role in force transmission among muscle fibers.

Unlike the diaphragm in which fibers are arranged in a single muscle layer, the abdominal muscles are arranged in multiple layers. It is conceivable that there is a myofascial force transmission between the IO and TA via the connective tissue network separating the two muscles. Thus there may be mechanical linkage between the IO and TA. Muscle force generated by the contracting TA can be readily transmitted directly to the adjacent IO muscle via a connective tissue network at the interface between the two muscles. Alternatively, a contracting IO muscle can transmit muscle force to a passive TA via the same interface. In addition, a stretched TA muscle during inspiratory efforts may transmit passive muscle forces to the IO muscle via the interfacial connective tissue. It is noteworthy that the extensibility of the abdominal muscle of the TA and IO as a unit was found to be significantly less than that of any of the individual muscle layers of the IO and the TA (6). We tested the hypothesis that the IO and the TA muscles form a composite laminate structure, which has a greater passive stiffness than either TA or IO alone (6). In this study, we measured length-tension relations using muscle strips from the TA, IO, and the two muscles together as a composite. Our results showed that the length-tension relationship of the composite muscles of IO and TA is shifted to the right compared with the length-tension relationship of either layers of the IO or TA (6). In particular, the composite laminate structure increased stiffening only along the direction of the fibers, and muscle anisotropy was less pronounced in the composite than individual muscles. These results are consistent with the hypothesis that during inspiration, there is myofascial passive force transmission between the IO and TA via the interfacial connective tissue.

In summary, the data in this study demonstrated that the internal abdominal muscles of IO and TA of the dog have a discontinuous fiber architecture with NSF tapered along either or both ends of the muscle fiber to a very fine strand, as determined by single-fiber dissection and morphological measurements. When the fiber architectures between these two muscles are compared, fibers in the TA are essentially all NSF. However, the IO muscle has a mixed population of SPF and NSF. Furthermore, the total absolute length of the tapered portions of fibers along the length of the TA muscle is longer than that of the IO. Therefore, it is expected that, during submaximal activation in quiet breathing and maximal expiratory efforts, a greater shear force is transmitted among muscle fibers in the TA than in the IO. This is consistent with the TA being the primarily recruited expiratory muscle during expiration.


    ACKNOWLEDGEMENTS

The authors are grateful to David Barron, Ann Marie Doneski, Mike Lopez, Marisa Sylvester, and Mark Zeller for valuable technical assistance.


    FOOTNOTES

This work was supported by National Heart, Lung, and Blood Institute Grants HL-54198 and HL-46230.

Address for reprint requests and other correspondence: A. M. Boriek, Pulmonary Section, Suite 520B, Dept. of Medicine, Baylor College of Medicine, One Baylor Plaza, Houston, TX 77030 (E-mail: boriek{at}bcm.tmc.edu).

The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Received 4 August 2000; accepted in final form 10 August 2001.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
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J APPL PHYSIOL 92(2):725-735
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