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.
Highlights
In humans and many other animals, the hormone testosterone (T) is considered to be an extremely important hormone
T is primarily generated from the interstitial cells of the testis, which produces about ninety percent with the rest coming from other parts of the endocrine system
We have considered a complete luteinizing hormone-releasing hormone (LHRH)-luteinizing hormone (LH)-T system model based on certain qualitative experimental observations
Summary
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 studied.
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