In the present paper we provide a mathematical model that describe the hypothalamus-pituitary-thyroid axis in autoimmune (Hashimoto's) thyroiditis. Since there is a spatial separation between thyroid and pituitary gland in the body, time is needed for transportation of thyrotropin and thyroxine between the glands. Thus, the distributed time delays are considered as both weak and Dirac kernels. The delayed model is analyzed regarding the stability and bifurcation behavior. The last part contains some numerical simulations to illustrate the effectiveness of our results and conclusions.
Mathematical model describing the thyroids-pituitary axis with distributed time delays in hormone transportation
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway
AIP Conference Proceedings ; 1637 , 1 ; 724-733
10.12.2014
10 pages
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
A Mathematical Model for Describing the Behavior of Two Fish
British Library Online Contents | 1995
|Parameter estimation and sensitivity analysis for a mathematical model with time delays of leukemia
American Institute of Physics | 2017
|Scheduling delays in synchronous transportation networks
Tema Archiv | 1974
|