On the stability of Murray's testosterone model

Details On the stability of Murray's testosterone model On the stability of Murray's testosterone model

2004-03-19

arxiv.org/abs/q-bio/0403027v1

Biology

Quantitative Biology

Molecular Networks

10 pages, no figures. Submitted to the Journal of Theoretical Biology

Scientific paper

We prove the global asymptotic stability of a well-known delayed
negative-feedback model of testosterone dynamics, which has been proposed as a
model of oscillatory behavior. We establish stability (and hence the
impossibility of oscillations) even in the presence of delays of arbitrary
length.

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