The aim of this work is to reproduce the experimentally measured linear dep
endence of cardiac muscle oxygen consumption on stress-strain area using a
model, composed of a three-state Huxley-type model for cross-bridge interac
tion and a phenomenological model of Ca2+-induced activation. By selecting
particular cross-bridge cycling rate constants and modifying the cross-brid
ge activation model, we replicated the linear dependence between oxygen con
sumption and stress-strain area together with other important mechanical pr
operties of cardiac muscle such as developed stress dependence on the sarco
mere length and force-velocity relationship. The model predicts that (1) th
e amount of the "passenger" cross bridges, i.e., cross bridges that detach
without hydrolyzing ATP molecule, is relatively small and (2) ATP consumpti
on rate profile within a beat and the amount of the passenger crossbridges
depend on the contraction protocol. (C) 2000 Biomedical Engineering Society
. [S0090-6964(00)00206-X].