Literature DB >> 15480670

On the stability of a model of testosterone dynamics.

German Enciso1, Eduardo D Sontag.   

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.

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Year:  2004        PMID： 15480670     DOI： 10.1007/s00285-004-0291-5

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


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2.  On predator-prey systems and small-gain theorems.

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Authors:  W R Smith
Journal:  Bull Math Biol       Date:  1980       Impact factor: 1.758

4.  Oscillatory behavior in enzymatic control processes.

Authors:  B C Goodwin
Journal:  Adv Enzyme Regul       Date:  1965

5.  A model for the control of testosterone secretion.

Authors:  M Cartwright; M Husain
Journal:  J Theor Biol       Date:  1986-11-21       Impact factor: 2.691
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2.  A didactical note on the advantage of using two parameters in Hopf bifurcation studies.

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Journal:  J Biol Dyn       Date:  2013-01-17       Impact factor: 2.179
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