Elastic Properties of Active Muscle-On the Rebound?

2007 ◽  
Vol 35 (4) ◽  
pp. 174-179 ◽  
Author(s):  
Jenna A. Monroy ◽  
A. Kristopher Lappin ◽  
Kiisa C. Nishikawa

When the tension of a muscle contracting isometrically is rapidly lowered, there is an immediate and proportional rise of temperature. This is not due to physiological shortening, which is a relatively slow process, but is directly connected with the fall of tension. A similar effect occurs in any material possessing a normal (positive) thermal coefficient of linear expansion. It is the opposite of what is observed in bodies with long-range rubber-like elasticity. The experimental relation, in active muscle, between the heat (∆ Q ) immediately produced and the rapid fall of tension (-∆ P ) is ∆ Q = 0∙018 l o (-∆ P ), where l o is the standard length of the muscle. The constant 0∙018 is considerably greater than for metals but about the same as for ebonite and wood. In resting muscle, in the range of moderate tensions, the constant is of the opposite sign, and its absolute size is five to ten times as great. Resting muscle, in this range, has rubber-like elastic properties. During active contraction, therefore, the contractile filaments possess normal and not long-range elasticity. The force exerted by active muscle is not of thermokinetic origin. Unlike resting muscle its entropy and its internal energy both decrease when its tension is rapidly lowered. The power of physiological shortening, at a rate depending on the tension, is not directly derived from elastic properties. In normal relaxation after an isometric contraction there is known to be a substantial production of heat. This is derived partly from elastic energy developed earlier during contraction, in the series elastic component: the balance is fully accounted for by the thermo­elastic heat resulting from the fall of tension.


Towards the middle of the last century Weber (1) investigated the problem of muscular contraction from the physical and mechanical points of view. He thought it possible to express the activity of the muscle solely in terms of a change in its elastic condition in response to stimulation. In other words, he assumed that the active muscle behaved as a stretched spring and that the tension-length curve of a given muscle, under a definite set of external conditions, was invariable and independent of the particular way in which it was obtained. This assumption was shown to be erroneous by Blix (2), with the help of his myographion, by means of which tension-length diagrams both of shortening, and of stretched, muscle could be automatically recorded. Blix showed that, at any length, tension developed during stretch was greater than corresponding tension developed during release. This observation was confirmed and extended by Fick (3, 4), who at first assumed an increased “physiological” response in stretch as the cause of this effect. In order to measure this response he determined the total energy of a contraction, this term denoting the algebraic sum of mechanical work and heat produced by the muscle. This quantity was found to be smaller in the case of a stretched muscle, and no satisfactory explanation was available capable of fitting the more elaborate picture which had emerged, largely from Fick’s hands.


The hope was recently expressed (Hill 1937, p. 116) that with the development of a more accurate and rapid technique for muscle heat measurement, a much more consistent picture might emerge of the energy relations of muscles shortening (or lengthening) and doing positive (or negative) work. This hope has been realized, and some astonishingly simple and accurate relations have been found, relations, moreover, which (among other things) determine the effect of load on speed of shortening, allow the form of the isometric contraction to be predicted, and are the basis of the so-called “visco-elasticity” of skeletal muscle. This paper is divided into three parts. In Part I further developments of the technique are described: everything has depended on the technique, so no apology is needed for a rather full description of it and of the precautions necessary. In Part II the results themselves are described and discussed. In Part III the “visco-elastic” properties of active muscle are shown to be a consequence of the properties described in Part II.


Author(s):  
Amy M. McGough ◽  
Robert Josephs

The remarkable deformability of the erythrocyte derives in large part from the elastic properties of spectrin, the major component of the membrane skeleton. It is generally accepted that spectrin's elasticity arises from marked conformational changes which include variations in its overall length (1). In this work the structure of spectrin in partially expanded membrane skeletons was studied by electron microscopy to determine the molecular basis for spectrin's elastic properties. Spectrin molecules were analysed with respect to three features: length, conformation, and quaternary structure. The results of these studies lead to a model of how spectrin mediates the elastic deformation of the erythrocyte.Membrane skeletons were isolated from erythrocyte membrane ghosts, negatively stained, and examined by transmission electron microscopy (2). Particle lengths and end-to-end distances were measured from enlarged prints using the computer program MACMEASURE. Spectrin conformation (straightness) was assessed by calculating the particles’ correlation length by iterative approximation (3). Digitised spectrin images were correlation averaged or Fourier filtered to improve their signal-to-noise ratios. Three-dimensional reconstructions were performed using a suite of programs which were based on the filtered back-projection algorithm and executed on a cluster of Microvax 3200 workstations (4).


Author(s):  
A.R. Thölén

Thin electron microscope specimens often contain irregular bend contours (Figs. 1-3). Very regular bend patterns have, however, been observed around holes in some ion-milled specimens. The purpose of this investigation is twofold. Firstly, to find the geometry of bent specimens and the elastic properties of extremely thin foils and secondly, to obtain more information about the background to the observed regular patterns.The specimen surface is described by z = f(x,y,p), where p is a parameter, eg. the radius of curvature of a sphere. The beam is entering along the z—direction, which coincides with the foil normal, FN, of the undisturbed crystal surface (z = 0). We have here used FN = [001]. Furthermore some low indexed reflections are chosen around the pole FN and in our fcc crystal the following g-vectors are selected:


1995 ◽  
Vol 05 (C8) ◽  
pp. C8-729-C8-734
Author(s):  
A.I. Lotkov ◽  
V.P. Lapshin ◽  
V.A. Goncharova ◽  
H.V Chernysheva ◽  
V.N. Grishkov ◽  
...  

2015 ◽  
Vol 185 (11) ◽  
pp. 1215-1224 ◽  
Author(s):  
Yurii Kh. Vekilov ◽  
Oleg M. Krasil'nikov ◽  
Andrei V. Lugovskoy

2012 ◽  
Vol 2 (5) ◽  
pp. 546-548
Author(s):  
P. Vasantharani P. Vasantharani ◽  
◽  
I.Sankeeda I.Sankeeda

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