A third-order state variable model (Distribution-Moment Model) for skeletal muscle contraction dynamics was formulated, requiring only free calcium concentration for excitation-contraction coupling.
The paper presents a tractable mathematical model for skeletal muscle contraction and excitation-contraction coupling based on cross-bridge kinetics.
This paper reviews recent work aimed at deriving tractable constitutive relations for skeletal muscle from biophysical cross-bridge theories. Discussion is focused on a model proposed previously by the first author (the Distribution-Moment Model), which emphasizes the important role of the moments of the actin-myosin bond-distribution function. The theory leads to a relatively simple third order state variable model for contraction dynamics in which the state variables are the three lowest order moments of the bond-distribution function; further, these three moments have simple macroscopic interpretations as muscle stiffness, force, and elastic energy. New results are presented on the formulation of a compatible model for excitation-contraction coupling, and this model requires the introduction of only one more state variable--the free calcium concentration.
Zahalak et al. (Thu,) conducted a review in Skeletal muscle contraction dynamics. A third-order state variable model (Distribution-Moment Model) for skeletal muscle contraction dynamics was formulated, requiring only free calcium concentration for excitation-contraction coupling.