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A delayed mathematical model for testosterone secretion with feedback control mechanism

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  • Banibrata Mukhopadhyay
  • Rakhi Bhattacharyya

Abstract

A mathematical model describing the biochemical interactions of the luteinizing hormone (LH), luteinizing hormonereleasing 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.

Suggested Citation

  • Banibrata Mukhopadhyay & Rakhi Bhattacharyya, 2004. "A delayed mathematical model for testosterone secretion with feedback control mechanism," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:890912
    DOI: 10.1155/S0161171204307271
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