Abstract
This chapter describes basics of cross-bridge models, and how to characterize muscle fiber (and myofibril) preparations in terms of elementary steps of the cross-bridge cycle. Models with two states, three states, and multi states are examined. Mathematical derivation to relate observed rate constants to the fundamental rate constants of the elementary steps are presented. The temperature effect of the rate constants, their activation energy, and reaction coordinates are discussed.
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References
Abbott RH (1972) An interpretation of the effects of fiber length and calcium on the mechanical properties of insect flight muscle. Cold Spring Hbr Symp on Quant Biol 37:647–654
Arrhenius SA (1889) Über die Dissociationswärme und den Einfluß der Temperatur auf den Dissociationsgrad der Elektrolyte. Z Phys Chem 4:96–116
Brenner B (1988) Effect of Ca2+ on cross-bridge turn over kinetics in skinned single rabbit psoas fibres: implications for regulation of muscle contraction. Proc Natl Acad Sci (USA) 83:3265–3269
Gutfreund H (1995) Kinetics for life sciences. Receptors, transmitters and chatalysts. Cambridge University Press, Cambridge, UK
Huxley AF (1957) Muscle structure and theories of contraction. Prog Biophys Chem 7:255–318
Huxley AF, Simmons RM (1971) Proposed mechanism of force generation in striated muscle. Nature 233:533–538
Julian FJ, Sollins KR, Sollins MR (1974) A model for the transient and steady-state mechanical behavior of contracting muscle. Biophys J 14:546–562
Kawai M, Halvorson H (1989) Role of MgATP and MgADP in the crossbridge kinetics in chemically skinned rabbit psoas fibers. Study of a fast exponential process C. Biophys J 55:595–603
Kawai M, Halvorson HR (1991) Two step mechanism of phosphate release and the mechanism of force generation in chemically skinned fibers of rabbit psoas. Biophys J 59:329–342
Kawai M, Halvorson HR (2007) Force transients and minimum cross-bridge models in muscular contraction. J Muscle Res Cell Motil 28:371–395
Moore WJ (1983) Basic physical chemistry. Prentice-Hall, Inc Publisher, Englewood Cliffs, NJ 07632, USA.
Murase M, Tanaka H, Nishiyama K, Shimizu H (1986) A three-state model for oscillation in muscle: sinusoidal analysis. J Muscle Res Cell Motil 7:2–10
Thorson J, White DC (1969) Distributed representations for actin-myosin interaction in the oscillatory contraction of muscle. Biophys J 9:360–390
Thorson J, White DC (1983) Role of cross-bridge distortion in the small-signal mechanical dynamics of insect and rabbit striated muscle. J Physiol 343:59–84
Van ‘t Hoff JH (1884) Études de Dynamique chimique.
Wang G, Kawai M (2001) Effect of temperature on elementary steps of the cross-bridge cycle in rabbit soleus slow-twitch muscle fibres. J Physiol 531:219–234
Wang L, Kawai M (2013) A re-interpretation of the rate of tension redevelopment (kTR) in active muscle. J Muscle Res Cell Motil 34:407–415
Zhao Y, Kawai M (1994) Kinetic and Thermodynamic studies of the cross-bridge cycle in rabbit psoas muscle fibers. Biophys J 67:1655–1668
Zhao Y, Kawai M (1996) Inotropic agent EMD 53998 weakens nucleotide and phosphate binding to cross bridges in porcine myocardium. Am J Physiol 271:H1394–H1406. (Heart Circ Physiol 40)
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Kawai, M. (2018). Reaction Processes (Chemical Kinetics) and Their Application to Muscle Biology. In: Biomechanics, Muscle Fibers, and How to Interface Experimental Apparatus to a Computer. Springer, Cham. https://doi.org/10.1007/978-3-319-72036-4_2
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DOI: https://doi.org/10.1007/978-3-319-72036-4_2
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