Simulation of Ca2+ release from the sarcoplasmic reticulum with three-dimensional sarcomere model in cardiac muscle.

ABSTRACT

A simulation of some basic features of Ca(2+) release from the sarcoplasmic reticulum (SR) in cardiac muscle was made with a model based on the mechanism of Ca(2+)-induced Ca(2+)-release. The half-sarcomere modeled as a circular cylinder was divided into 20 annular elements in the radial, 50 slices in the axial, and 125 slices in the azimuthal direction. The cylindrical surface of the sarcomere was covered by a layer of the SR. The rate of Ca(2+) release from the terminal sac (TS) is proportional to the product of the open probability of the Ca(2+) release channel and the difference of [Ca(2+)] between the TS and an element facing the TS. Ca(2+) moves from element to element by simple diffusion and is taken up by the tubular SR via Ca(2+)-ATPase. Ca(2+) influx (I(ca)) to trigger the TS Ca(2+) release was introduced to either a single element facing the TS (local I(ca)) or to 20 elements aligned at the level of the Z-line (uniform I(ca)). The simulation showed that with both types of I(ca), TS Ca(2+) release is smoothly graded over a wide range of I(ca) with the TS moderately loaded with Ca(2+). The gain determined by dividing the total amount of TS Ca(2+) release by I(ca) was greater with local than with uniform I(ca). Mechanical alternans was simulated with both the local and uniform I(ca) with an appropriate rate of Ca(2+) replenishment to the TS. A Ca(2+) wave was simulated with a model consisting of 8 longitudinally consecutive sarcomeres with TS heavily loaded with Ca(2+). Thus the present model accounted for graded TS Ca(2+) release, mechanical alternans, and Ca(2+) wave in cardiac muscle at the same time.