Dynamics of a simplified HPT model in relation to 24h TSH profiles

Agnieszka Bartłomiejczyk; Beata Jackowska-Zduniak

doi:10.14708/ma.v46i1.6389

Dynamics of a simplified HPT model in relation to 24h TSH profiles

Abstract

We propose a simplified mathematical model of the hypothalamus-pituitary-thyroid (HPT) axis in an endocrine system. The considered model is a modification of the model proposed by Mukhopadhyay and Bhattacharyya in [10]. Our system of delay differential equations reconstructs the HPT axis in relation to 24h profiles of human in physiological conditions. Homeostatic control of the thyroid-pituitary axis is considered by using feedback and delay in our model. The influence of delayed feedback on the stability behaviour of the system is discussed.

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DOI:: Digital Object Identifier (open in new tab) 10.14708/ma.v46i1.6389
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Category:: Articles
Type:: artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:: Mathematica Applicanda (Matematyka Stosowana) no. 46, edition 1, pages 13 - 24,
ISSN: 1730-2668
Language:: English
Publication year:: 2018
Bibliographic description:: Bartłomiejczyk A., Jackowska-Zduniak B.: Dynamics of a simplified HPT model in relation to 24h TSH profiles// Mathematica Applicanda (Matematyka Stosowana). -Vol. 46., iss. 1 (2018), s.13-24
DOI:: Digital Object Identifier (open in new tab) 10.14708/ma.v46i1.6389
Verified by:: Gdańsk University of Technology