International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 3, Pages 105-115
doi:10.1155/S0161171204307271
A delayed mathematical model for testosterone secretion with feedback control mechanism
Department of Applied Mathematics, University of Calcutta, Calcutta 700 009, India
Received 7 July 2003; Revised 21 July 2003
Copyright © 2004 Banibrata Mukhopadhyay and Rakhi Bhattacharyya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A mathematical model describing the biochemical interactions of
the luteinizing hormone (LH),
luteinizing hormone–releasing hormone (LHRH), and testosterone
(T) is presented. The model structure consists of a negative
feedback mechanism with transportation and secretion delays of
different hormones. A comparison of stability and bifurcation
analysis in the presence and absence of delays has been performed.
Mathematical implications of castration and testosterone infusion
are also studied.