On the stability of Murray's testosterone model
Molecular Networks
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.q-bio/0403027,
title = {On the stability of Murray's testosterone model},
author = {G. A. Enciso and E. D. Sontag},
journal= {arXiv preprint arXiv:q-bio/0403027},
year = {2007}
}
Comments
10 pages, no figures. Submitted to the Journal of Theoretical Biology