International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 1-4, Pages 105-115
doi:10.1155/S0161171204307271
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
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.