Abstract
The sarcomere is the functional unit of muscle, and all sarcomeres are connected in series in myofibrils within a muscle fibre. From this point of view of the structure a single model consisting of a contractile, a series and a parallel element can not account for the description of a real muscle fibre. Additionally, the titin protein filament needs to be considered as a passive visco-elastic element in parallel with the contractile apparatus. Therefore, the structure of a single muscle fibre is complex due mechanical elements (“motors”) operating in series and in parallel. Moreover, variability does exist in the mechanical properties along a fibre and hence a multi-segmental model is more realistic and would give rise to many new insights. By attributing a segment model to each half-sarcomere, a fibre can be constructed through rigorous coupling of these units in series and parallel. The dynamics of such a multi-segmental model is much more complex, but it can explain a variety of effects reported in standard classical mechanics experiments.
With a relatively simple mechanistic description we can show that the dynamics of such multi-sarcomere systems exhibit a variety of effects (relaxation phenomena, permanent extra-tension, biphasic force-velocity relation) and should therefore not be neglected in muscle fibre modelling. We have observed in single skinned fibre experiments that non-uniformities in sarcomere length changes are prominent during activation and relaxation.
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References
Allinger, T. L, Epstein, M., and Herzog, W., 1996, Stability of muscle fibers on the descending limb of the force-length relation. A theoretical consideration, J Biomech, 29(5):627–33.
Colomo, F., Piroddi, N., Poggesi, C, te Kronnie, G., and Tesi, G, 1997, Active and passive forces of isolated myofibrils from cardiac and fast skeletal muscle of the frog, J Physiol, 500( Pt 2):535–48.
Denoth, J., Stussi, E., Csucs, G., and Danuser, G., 2002, Single muscle fiber contraction is dictated by inter-sarcomere dynamics, J Theor Biol. 216(l):101–122.
Edman, K. A., 1988, Double-hyperbolic force-velocity relation in frog muscle fibres, J Physiol. 404:301–21.
Edman, K. A., Mansson, A., and Caputo, C, 1997, The biphasic force-velocity relationship in frog muscle fibres and its evaluation in terms of cross-bridge function, J Physiol. 503( Pt l):141–56.
Friedman, A. L, and Goldman, Y. E., 1996, Mechanical characterization of skeletal muscle myofibrils, Biophys J, 71(5):2774–85.
Gordon, A. M., Huxley, A. F., and Julian, F. J., 1966, The variation in isometric tension with sarcomere length in vertebrate muscle fibres, J Physiol. 184(1): 170–92.
Granzier, H. L, and Pollack, G. H., 1989, Effect of active pre-shortening on isometric and isotonic performance of single frog muscle fibres, J Physiol, 415:299–327.
Herzog, W., and Leonard, T. R., 2000, The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles, J Biomech, 33(5):531–42.
Hill, A. V., 1938, The heat of shortening and the dynamic constants of muscle, Proc R Soc B, 126(843): 136–195.
Hill, A. V., 1953, The mechanics of active muscle, Proc R Soc B, 141(902): 104–117.
Hill, A. V., 1970, First and Last Experiments in Muscle Physiology. Cambridge University Press, London, New York.
Horowits, R., and Podolsky, R. J., 1987, The positional stability of thick filaments in activated skeletal muscle depends on sarcomere length: evidence for the role of titin filaments, J Cell Biol. 105(5):2217–23.
Huxley, A. F., 1957, Muscle structure and theories of contraction, Prog Biophys Mol Biol. 7:255–318.
Julian, F. J., and Morgan, D. L., 1979a, The effect on tension of non-uniform distribution of length changes applied to frog muscle fibres, J Physiol. 293: 379–92.
Julian, F. J., and Morgan, D. L., 1979b, Intersarcomere dynamics during fixed-end tetanic contractions of frog muscle fibres, J Physiol. 293:365–78.
Katz, B., 1939, The relationship between force and speed in muscular contraction, J Physiol (Lond), 96:45–64.
Kellermayer, M. S., Smith, S. B., Granzier, H. L, and Bustamante, G, 1997, Folding-unfolding transitions in single titin molecules characterized with laser tweezers, Science, 276(5315): 1112–6.
Linke, W. A., Popov, V. I., and Pollack, G. H., 1994, Passive and active tension in single cardiac myofibrils, Biophys J, 67(2):782–92.
Lombardi, V., and Piazzesi, G., 1990, The contractile response during steady lengthening of stimulated frog muscle fibres, J Physiol, 431:141–71.
Minajeva, A., Neagoe, G, Kulke, M., and linke, W. A., 2002, Titin-based contribution to shortening velocity of rabbit skeletal myofibrils, J Physiol, 540(Pt l):177–88.
Morgan, D. L, 1990, New insights into the behavior of muscle during active lengthening, Biophys J, 57(2):209–21.
Morgan, D. L, 1994, An explanation for residual increased tension in striated muscle after stretch during contraction, Exp Physiol, 79(5):831–8.
Pollack, G. H., 1990, Muscle & Molecules. Ebner & Sons Publishers.
Ranatunga, K. W., 2001, Sarcomeric visco-elasticity of chemically skinned skeletal muscle fibres of the rabbit at rest, J Muscle Res Cell Motil, 22(5):399–414.
Shah, S. B., Su, F. C, Jordan, K., Milner, D. J., Friden, J., Capetanaki, Y., and Lieber, R. L, 2002, Evidence for increased myofibrillar mobility in desmin-null mouse skeletal muscle, J Exp Biol, 205(Pt 3):321–5.
Sugi, H., and Tsuchiya, T., 1998, Muscle mechanics I: Intact single muscle fibres, in: Current Methods in Muscle Physiology: Advantages, Problems, and Limitations (H. Sugi, ed.), Oxford University Press, Oxford; New York; Tokyo, pp. 3–31.
Trombitas, K., Greaser, M, Labeit, S., Jin, J. P., Kellermayer, M., Helmes, M., and Granzier, H., 1998, Titin extensibility in situ: entropie elasticity of permanently folded and permanently unfolded molecular segments, J Cell Biol, 140(4):853–9.
Woledge, R. C, Curtin, N. A., and Homsher, E., 1985, Energetic aspects of muscle contraction, Monogr Physiol Soc, 41:1–357.
Zahalak, G. I., 1997, Can muscle fibers be stable on the descending limbs of their sarcomere length-tension relations?, J Biomech, 30(11-12): 1179–82.
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Telley, I.A., Denoth, J., Ranatunga, K.W. (2003). Inter-Sarcomere Dynamics in Muscle Fibres. In: Sugi, H. (eds) Molecular and Cellular Aspects of Muscle Contraction. Advances in Experimental Medicine and Biology, vol 538. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9029-7_44
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DOI: https://doi.org/10.1007/978-1-4419-9029-7_44
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