International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 3, Pages 105-115

A delayed mathematical model for testosterone secretion with feedback control mechanism

Banibrata Mukhopadhyay and Rakhi Bhattacharyya

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.


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.