A purely mechanical theory of muscular contraction

A simple mathematic model is constructed for the cross-bridge dynamics that govern muscular contraction, based on ideas introduced by Huxley and Simmons. The model differs from earlier ones in that it is based on distributions over time rather than displacement and uses a sharp disengagement rule. The constitutive functions of the model are set using classical experimental results and its predictions for the length-step experiment of Ford, Huxley, and Simmons are examined.     

Ex vivo mechanical loading of tendon

Injuries to the tendon (e.g., wrist tendonitis, epicondyltis) due to overuse are common in sports activities and the workplace. Most are associated with repetitive, high force hand activities. The mechanisms of cellular and structural damage due to cyclical loading are not well known. The purpose of this video is to present a new system that can simultaneously load four tendons in tissue culture. The video describes the methods of sterile tissue harvest and how the tendons are loaded onto a clamping system that is subsequently immersed into media and maintained at 37 degrees C. One clamp is fixed while the other one is moved with a linear actuator. Tendon tensile force is monitored with a load cell in series with the mobile clamp. The actuators are controlled with a LabView program. The four tendons can be repetitively loaded with different patterns of loading, repetition rate, rate of loading, and duration. Loading can continue for a few minutes to 48 hours. At the end of loading, the tendons are removed and the mid-substance extracted for biochemical analyses. This system allows for the investigation of the effects of loading patterns on gene expression and structural changes in tendon. Ultimately, mechanisms of injury due to overuse can be studies with the findings applied to treatment and prevention.     

Balanced mechanical forces and microtubule contribution to fibroblast contraction

Fibroblast locomotion is thought to generate tractional forces which lead to contraction and reorganisation of collagen in tissue development and repair. A culture force monitor device (CFM) was used to measure changes in force in fibroblast populated collagen lattices, which resulted from cytoskeletal reorganisation by cytochalasin B, colchicine, vinblastine, and taxol. Microfilament disruption abolished contraction forces, microtubule disruption elicited a new peak of contraction, while taxol stabilisation of microtubules produced a gradual fall in measured force across the collagen gel. Based on these measurements, it is suggested that the cell can be viewed as an engineering structure in which residual intracellular forces, from contractile microfilaments, exert compressive loading on microtubular elements. This microtubular structure appears to act as a “balanced space frame” (analogous to an aeroplane chassis), maintaining cell shape and consequently storing a residual internal tension (RIT). In dermal fibroblasts this hidden RIT was up to 33% of the measurable force exerted on the collagen gel. Phenotypic differences between space frame organisation and RIT levels could explain site and pathological variations in fibroblast contraction. © 1996 Wiley-Liss, Inc.     

On the conditional equivalence of chemical loading and mechanical loading on articular cartilage

Osmotic pressure loading of articular cartilage has been customarily invoked to be equivalent to mechanical loading. In the literature, this equivalence is defined by the amount of water squeezed from the tissue, i.e. if the amount of water content lost by these two modes of loading are the same, it has been generally regarded that the two loadings are equivalent. This assumption has never been proven. Using the water content lost concept, in this paper, we derived the exact conditions under which an osmotic pressure loading of cartilage can be considered to be equivalent to a mechanical loading. However, the mechanical loading condition satisfying this equivalancy criterion, i.e. an isotropic loading delivered via a porous–permeable rigid platen uniformily applied all around the specimen, is not practically achievable. Moreover, even if this were achieved experimentally, the interstitial fluid pressure caused by the two loading conditions are not the same. This result has important ramifications for interpretation of experimental data from mechanical stimulations of cartilage explant studies.     

Adaptation of cellular mechanical behavior to mechanical loading for osteoblastic cells

Numerous cellular biochemical responses to mechanical loading are transient, indicating a cell's ability to adapt its behavior to a new mechanical environment. Since load-induced cellular deformation can initiate these biochemical responses, the overall goal of this study was to investigate the adaptation of global, or whole-cell, mechanical behavior, i.e., cellular deformability, in response to mechanical loading for osteoblastic cells. Confluent cell cultures were subjected to 1 or 2 Pa flow-induced shear stress for 2 h. Whole-cell mechanical behavior was then measured for individual cells using an atomic force microscope. Compared to cells maintained under static conditions, whole-cell stiffness was 1.36-fold (p=0.006) and 1.70-fold (p<0.001) greater for cells exposed to 1 and 2 Pa shear loading, respectively. The increase in shear stress magnitude from 1 to 2 Pa also caused a statistically significant, 1.25-fold increase in cell stiffness (p=0.02). Increases in cell stiffness were not altered in either flow group for 70 min after flow was terminated (p=0.15). Flow-induced rearrangement of the actin cytoskeleton was also maintained for at least 90 min after flow was terminated. Taken together, these findings support the hypothesis that cells become mechanically adapted to their mechanical environment via cytoskeletal modifications. Accordingly, cellular mechanical adaptation may play a key role in regulation of cellular mechanosensitivity and the related effects on tissue structure and function.     

Dynamic equilibration of airway smooth muscle contraction during physiological loading.

Airway smooth muscle contraction is the central event in acute airway narrowing in asthma. Most studies of isolated muscle have focused on statically equilibrated contractile states that arise from isometric or isotonic contractions. It has recently been established, however, that muscle length is determined by a dynamically equilibrated state of the muscle in which small tidal stretches associated with the ongoing action of breathing act to perturb the binding of myosin to actin. To further investigate this phenomenon, we describe in this report an experimental method for subjecting isolated muscle to a dynamic microenvironment designed to closely approximate that experienced in vivo. Unlike previous methods that used either time-varying length control, force control, or time-invariant auxotonic loads, this method uses transpulmonary pressure as the controlled variable, with both muscle force and muscle length free to adjust as they would in vivo. The method was implemented by using a servo-controlled lever arm to load activated airway smooth muscle strips with transpulmonary pressure fluctuations of increasing amplitude, simulating the action of breathing. The results are not consistent with classical ideas of airway narrowing, which rest on the assumption of a statically equilibrated contractile state; they are consistent, however, with the theory of perturbed equilibria of myosin binding. This experimental method will allow for quantitative experimental evaluation of factors that were previously outside of experimental control, including sensitivity of muscle length to changes of tidal volume, changes of lung volume, shape of the load characteristic, loss of parenchymal support and inflammatory thickening of airway wall compartments.     

Site specific bone adaptation response to mechanical loading

Over 25 million Americans suffer from osteoporosis. Bone size and strength depends both upon the level of adaptation due to physical activity (applied load), and genetics. We hypothesized that bone adaptation to loads differs among mice breeds and bone sites. Forty-five adult female mice from three inbred strains (C57BL/6 [B6], C3H/HeJ [C3], and DBA/2J [D2]) were loaded at the right tibia and ulna in vivo with non-invasive loading devices. Each loading session consisted of 99 cycles at a force range that induced approximately 2000 microstrain (microepsilon) at the mid-shaft of the tibia (2.5 to 3.5 N force) and ulna (1.5 to 2 N force). The right and left ulnae and tibiae were collected and processed using protocols for histological undecalcified cortical bone slides. Standard histomorphometry techniques were used to quantify new bone formation. The histomorphometric variables include percentage mineralizing surface (%MS), mineral apposition rate (MAR), and bone formation rate (BFR). Net loading response [right-left limb] was compared between different breeds at tibial and ulnar sites using two-way ANOVA with repeated measures (p<0.05). Significant site differences in bone adaptation response were present within each breed (p<0.005). In all the three breeds, the tibiae showed greater percentage MS, MAR and BFR than the ulna at similar in vivo load or mechanical stimulus (strain). These data suggest that the bone formation due to loading is greater in the tibiae than the ulnae. Although, no significant breed-related differences were found in response to loading, the data show greater trends in tibial bone response in B6 mice as compared to D2 and C3 mice. Our data indicate that there are site-specific skeletal differences in bone adaptation response to similar mechanical stimulus.     

The importance of mechanical loading in bone biology and medicine

This paper discusses the premise that the skeleton is primarily a mechanical organ, and reviews the reasons that mechanical factors play a major role in bone biology. It begins by considering three basic observations: (1) Galileo's observation that bone proportions become more robust as the species' overall size increases; (2) da Vinci's observation that larger structures are inherently weaker than smaller structures subjected to the same stress; and (3) the general observation that each unit of bone mass provides structural support for about 15 units of soft tissue organ mass. Together, these observations lead to the concept that it can be advantageous to minimize bone mass, consistent with constraints on other factors. This premise is discussed here in relation to the phenomenon of bone remodeling, which is seen to serve two purposes: the adjustment of bone mass and geometry to maintain peak bone strains at their maximum tolerable values, and the continual removal of fatigue damage produced at those strain levels. Finally, it is observed that bone remodeling apparently originated approximately 250 million years ago when the first vertebrates of substantial size became weight-bearing on land, suggesting that mechanical forces associated with weight-bearing were instrumental in the evolution of bone remodeling.     

Cellular accommodation and the response of bone to mechanical loading

Several mathematical rules by which bone adapts to mechanical loading have been proposed. Previous work focused mainly on negative feedback models, e.g., bone adapts to increased loading after a minimum strain effective (MES) threshold has been reached. The MES algorithm has numerous caveats, so we propose a different model, according to which bone adapts to changes in its mechanical environment based on the principle of cellular accommodation. With the new algorithm we presume that strain history is integrated into cellular memory so that the reference state for adaptation is constantly changing. To test this algorithm, an experiment was performed in which the ulnae of Sprague-Dawley rats were loaded in axial compression. The animals received loading for 15 weeks with progressively decreasing loads, increasing loads, or a constant load. The results showed the largest increases in geometry in the decreasing load group, followed by the constant load group. Bone formation rates (BFRs) were significantly greater in the decreasing load group during the first 2 weeks of the study as compared to all other groups (P<0.05). After the first few weeks of mechanical loading, the BFR in the loaded ulnae returned to the values of the nonloaded ulnae. These experimental results closely fit the predicted results of the cellular accommodation algorithm. After the initial weeks of loading, bone stopped responding so the degree of adaptation was proportional to the initial peak load magnitude.     

Intercellular mechanotransduction: cellular circuits that coordinate tissue responses to mechanical loading

Physical forces play an important role in modulating cell function and shaping tissue structure. Mechanotransduction, the process by which cells transduce physical force-induced signals into biochemical responses, is critical for mediating adaptations to mechanical loading in connective tissues. While much is known about mechanotransduction in cells involving forces delivered through extracellular matrix proteins and integrins, there is limited understanding of how mechanical signals are propagated through the interconnected cellular networks found in tissues and organs. We propose that intercellular mechanotransduction is a critical component for achieving coordinated remodeling responses to force application in connective tissues. We examine here recent evidence on different pathways of intercellular mechanotransduction and suggest a general model for how multicellular structures respond to mechanical loading as an integrated unit.     

Ginger attenuates acetylcholine-induced contraction and Ca2+ signalling in murine airway smooth muscle cells

Asthma is a chronic disease characterized by inflammation and hypersensitivity of airway smooth muscle cells (ASMCs) to different spasmogens. The past decade has seen increased use of herbal treatments for many chronic illnesses. Ginger (Zingiber officinale) is a common food plant that has been used for centuries in treating respiratory illnesses. In this study, we report the effect of its 70% aqueous methanolic crude extract (Zo.Cr) on acetylcholine (ACh)-induced airway contraction and Ca(2+) signalling in ASMCs using mouse lung slices. Airway contraction and Ca(2+) signalling, recorded via confocal microscopy, were induced with ACh, either alone or after pretreatment of slices with Zo.Cr and (or) verapamil, a standard Ca(2+) channel blocker. ACh (10 micromol/L) stimulated airway contraction, seen as decreased airway diameter, and also stimulated Ca(2+) transients (sharp rise in [Ca(2+)]i) and oscillations in ASMCs, seen as increased fluo-4-induced fluorescence intensity. When Zo.Cr (0.3-1.0 mg/mL) was given 30 min before ACh administration, the ACh-induced airway contraction and Ca(2+) signalling were significantly reduced. Similarly, verapamil (1 micromol/L) also inhibited agonist-induced airway contraction and Ca(2+) signalling, indicating a similarity in the modes of action. When Zo.Cr (0.3 mg/mL) and verapamil (1 micromol/L) were given together before ACh, the degree of inhibition was the same as that observed when each of these blockers was given alone, indicating absence of any additional inhibitory mechanism in the extract. In Ca(2+) -free solution, both Zo.Cr and verapamil, when given separately, inhibited Ca(2+) (10 mmol/L)-induced increase in fluorescence and airway contraction. This shows that ginger inhibits airway contraction and associated Ca(2+) signalling, possibly via blockade of plasma membrane Ca(2+) channels, thus reiterating the effectiveness of this age-old herb in treating respiratory illnesses.     

In vivo investigation of tendon responses to mechanical loading

Tendons transmit skeletal muscle forces to bone and are essential in all voluntary movement. In turn, movement appears to affect tendon properties, and in recent years considerable effort has been put into discovering how tendon tissue responds to mechanical stimuli in vivo. Months and years of mechanical loading can influence the gross morphology of tendon, seen as an increase tendon cross sectional area (CSA). Similarly, tendon stiffness appears to be affected by weeks to months of loading. Increased stiffness can relate to changes in CSA and/or tendon material properties (modulus), though the relative contribution of these parameters is largely unclear. The possible mechanisms behind alterations in tendon material properties include changes in collagen fibril morphology and levels of cross-linking between collagen molecules. Furthermore, increased levels of collagen synthesis and expression are seen as a response to acute exercise and training, and may be a central parameter in tendon adaptation to loading. There are indications that this collagen-induction relates to the auto-/paracrine action of collagen-stimulating growth factors, such as TGFβ-1 and IGF-I, which are expressed in response to mechanical stimuli.     

Effect of mechanical loading on breathing patterns in women

First-breath ventilatory responses to graded inspiratory elastic and resistive loads were obtained from 80 women unfamiliar with respiratory experimentation. For each load 1) responses from different subjects ranged from a weak tidal volume defense coupled with an increased breathing frequency to a strong tidal volume defense coupled with a decreased frequency; 2) strong tidal volume defenders employed longer inspirations than did weak tidal volume defenders; and 3) individual respiratory frequency responses were mediated by changes in inspiratory and/or expiratory timing. Thus the group response was qualitatively the same as that reported for 80 men. Quantitatively, however, mean inspiratory airflow responses of women exceeded those of men by an amount attributable to women's higher intrinsic respiratory elastance. Tidal volume responses, on the other hand, did not differ significantly, suggesting that men and women produce different neural adjustments to loads. In support of this hypothesis, analysis of respiratory timing responses revealed that 1) men actively prolonged inspiration more than women during resistive loading; and 2) women actively shortened inspiration more than men during elastic loading. These findings indicate that the load-compensating behavior exhibited by men and women is similar but not identical.     

Molecular mechanics of silk nanostructures under varied mechanical loading

Spider dragline silk is a self-assembling tunable protein composite fiber that rivals many engineering fibers in tensile strength, extensibility, and toughness, making it one of the most versatile biocompatible materials and most inviting for synthetic mimicry. While experimental studies have shown that the peptide sequence and molecular structure of silk have a direct influence on the stiffness, toughness, and failure strength of silk, few molecular-level analyses of the nanostructure of silk assemblies, in particular, under variations of genetic sequences have been reported. In this study, atomistic-level structures of wildtype as well as modified MaSp1 protein from the Nephila clavipes spider dragline silk sequences, obtained using an in silico approach based on replica exchange molecular dynamics and explicit water molecular dynamics, are subjected to simulated nanomechanical testing using different force-control loading conditions including stretch, pull-out, and peel. The authors have explored the effects of the poly-alanine length of the N. clavipes MaSp1 peptide sequence and identify differences in nanomechanical loading conditions on the behavior of a unit cell of 15 strands with 840-990 total residues used to represent a cross-linking β-sheet crystal node in the network within a fibril of the dragline silk thread. The specific loading condition used, representing concepts derived from the protein network connectivity at larger scales, have a significant effect on the mechanical behavior. Our analysis incorporates stretching, pull-out, and peel testing to connect biochemical features to mechanical behavior. The method used in this study could find broad applications in de novo design of silk-like tunable materials for an array of applications.     

Influence of sarcoplasmic reticulum calcium loading on mechanical and relaxation restitution

Mechanical and relaxation restitution represent the restoration of contractile force and relaxation, respectively, in premature beats having progressively longer extrasystolic intervals (ESI); these phenomena are related to intracellular activator Ca(2+) by poorly defined mechanisms. We tested the hypothesis that the level of phospholamban [which modulates the affinity of the sarcoplasmic reticulum (SR) Ca(2+)-ATPase for Ca(2+), and thus the SR Ca(2+) load] may be an important determinant of both mechanical and relaxation restitution. Five mice with ablation of the phospholamban (PLB) gene (PLBKO), eight isogenic wild-type controls (129SvJ), eleven mice with PLB overexpression (PLBOE), and nine isogenic wild-type (FVB/N) controls were anesthetized and instrumented with a 1.4-Fr Millar catheter in the left ventricle and a 1-Fr pacemaker in the right atrium. At a cycle length of 200 ms, extrastimuli with increasing ESI were introduced, and the peak rates of left ventricular isovolumic contraction (+/-dP/dt(max)) were normalized and fit to monoexponential equations. In a subset, the protocols were repeated after ryanodine (4 ng/g) was administered to deplete SR Ca(2+) stores. The time constant of mechanical restitution in PLBKO was significantly shorter [6.3 +/- 1.2 (SE) vs. 47.7 +/- 7.6 ms] and began earlier (50 +/- 10 vs. 70 +/- 19 ms) than in 129SvJ. In contrast, the time constant of mechnical restitution was significantly longer (80.3 +/- 7.6 vs. 54.1 +/- 9.2 ms) in PLBOE than in FVB/N. The time constant of relaxation restitution was less in PLBKO than in 129SvJ (26.2 +/- 9.9 vs. 44.6 +/- 3.3, P < 0.05) but was similar in PLBOE and FVB/N (21.1 +/- 6.3 vs. 20.5 +/- 5.7 ms). Intravenous ryanodine decreased significantly the time constants of mechanical restitution in PLBOE, 129SvJ, and FVB/N but was lethal in PLBKO. In contrast, ryanodine increased the time constant of relaxation restitution. Thus 1) the phospholamban level is a critical determinant of mechanical restitution and (to a lesser extent) relaxation restitution in these transgenic models, and 2) ryanodine differentially affects mechanical and relaxation restitution. Furthermore, our data suggest a dissociation of processes within the SR that govern contraction and relaxation.     

Accelerometer counts and raw acceleration output in relation to mechanical loading

The purpose of this study was to assess the relationship of accelerometer output, in counts (ActiGraph GT1M) and as raw accelerations (ActiGraph GT3X+ and GENEA), with ground reaction force (GRF) in adults. Ten participants (age: 29.4 ± 8.2 yr, mass: 74.3 ± 9.8 kg, height: 1.76 ± 0.09 m) performed eight trials each of: slow walking, brisk walking, slow running, faster running and box drops. GRF data were collected for one step per trial (walking and running) using a force plate. Low jumps and higher jumps (one per second) were performed for 20 s each on the force plate. For box drops, participants dropped from a 35 cm box onto the force plate. Throughout, three accelerometers were worn at the hip: GT1M, GT3X+ and GENEA. A further GT3X+ and GENEA were worn on the left and right wrist, respectively. GT1M counts correlated with peak impact force (r = 0.85, p < 0.05), average resultant force (r = 0.73, p < 0.05) and peak loading rate (r = 0.76, p < 0.05). Accelerations from the GT3X+ and GENEA correlated with average resultant force and peak loading rate irrespective of whether monitors were worn at the hip or wrist (r > 0.82, p < 0.05, r > 0.63 p < 0.05, respectively). In conclusion, accelerometer count and raw acceleration output correlate positively with GRF and thus may be appropriate for the quantification of activity beneficial to bone. Wrist-worn monitors show a similar relationship with GRF as hip-worn monitors, suggesting that wrist-worn monitors may be a viable option for future studies looking at bone health.