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[012] Citation: N. Akamatsu, B. Hannaford, L. Stark, 'An Intrinsic Mechanism for the oscillatory contraction of muscle,'
Biological Cybernetics, vol. 53, pp. 219-227, 1986.
Abstract
A new model based on the theory of dynamical systems is proposed for
the intrinsic random or pseudo-random mechanism underlying certain
types of muscular tremor. The active length-tension curve of the
individual sarcomere, in conjunction with the passive length-tension
relation is a map from length to tension with an observed time delay
between length change and resulting tension change. The passive length
tension relation is assumed to instantaneously relate this tension
change back to a change in length. The stability properties of this
iterated interval map are investigated by means of computer simulation
and computation of the Lyapunov exponent and the bifurcation tree. The
resulting analysis is related to experimental tremor data in the
literature in terms of period doubling, bifurcation points, and
"chaotic" behavior. The model appears to have its most fruitful
application in understanding the insect type and isometric mammalian
types of tremor.
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Updated: Tue Jul 15 23:54:48 2008
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