Four-state models and regulation of contraction of smooth muscle. II. Properties of the solutions and identification.
We analyze the behavior and the identification problem of cyclic four-state models. We find that for any state, or a weighted combination of two states, there can be at most one maximum, or one minimum, and two inflection points. We obtain necessary conditions for overshoot and undershoot and give examples. We describe procedures to estimate all the rate constants and discuss certain experimental aspects of the identification problem. Finally, we give an example of identification by obtaining the 10 model parameters from experimental data on skinned fibers from smooth muscle. These results, in conjunction with the results of the previous paper, can help in testing four-state models of regulation of contraction of smooth muscle and of a variety of other physiological and biochemical phenomena.
Lazalde
C A
CA
Department of Physiology and Biophysics, University of Illinois, Urbana 61801.
Barr
L
L
D000818:Animals; D006801:Humans; D007700:Kinetics; D016014:Linear Models; D008433:Mathematics; D009119:Muscle Contraction / Q000502:physiology; D009130:Muscle, Smooth / Q000502:physiology*; D013552:Swine