A mathematical model describing the thyroid-pituitary axis with time delays in hormone transportation |
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| Authors: | Banibrata Mukhopadhyay Rakhi Bhattacharyya |
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| Institution: | (1) Department of Applied Mathematics, University of Calcutta, Kolkata, 700 009, India |
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| Abstract: | In the present paper, a mathematical model, originally proposed by Danziger and Elmergreen and describing the thyroid-pituitary
homeostatic mechanism, is modified and analyzed for its physiological and clinical significance. The inuence of different
system parameters on the stability behavior of the system is discussed. The transportation delays of different hormones in
the bloodstream, both in the discrete and distributed forms, are considered. Delayed models are analyzed regarding the stability
and bifurcation behavior. Clinical treatment of periodic catatonic schizophrenia is discussed in presence of transportation
delays. Numerical simulations are presented to support analytic results. |
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| Keywords: | feedback mechanism distributed time delay discrete time delay asymptotic stability catatonic schizophrenia hormone therapy |
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