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Fig. 1. (A) Kinetics of thin filament regulation and cross-bridge cycling, modeled
as coupled three-state cycles. Transition rates (kij)
between cross-bridge states
(X1–X3) are strain dependent.
Transition rates (rij) between thin filament states
(T1–T3) explicitly encode
spatial information about troponin binding Ca2+ and tropomyosin
movement. B) We simulated force production in a network of linear springs,
using spring constants for thick filaments (km), thin
filaments (ka) and cross-bridges
(kxb). Thick and thin filament nodes (white circles
between springs) represent modeled points from which cross-bridges extend from
the thick filament backbone or actin binding sties along the thin filament
where cross-bridges. At each time step, Monte-Carlo methods simulate
likelihoods of Ca2+ regulated cross-bridge attachment to thin
filaments, then forces balance about each node throughout the filament
lattice.