Mathematical modeling and qualitative analysis of insulin therapies
Catherine
Lloyd
Auckland Bioengineering Institute, The University of Auckland
Model Status
This CellML model runs in PCenv, COR and OpenCell to recreate the published results. The initial conditions were not explicitly defined in the paper, but were extrapolated from Table 1 and Figure 2. The model was then run until it reached a steady state, and new intial values were taken from the steady state.
Model Structure
ABSTRACT: We propose a dynamical model for the pulsatile secretion of the hypothalamo-pituitary-adrenal axis. This model takes into account both the binding of hormone with proteins in the plasma and tissues and mutual interactions of the hormones in the system. The deductions from
this model are in good agreement with experiment results.
model diagram
Schematic diagram of the hormone flow and interactions between the different components of the hypothalamic-pituitary-adrenal (HPA) axis which are described by the mathematical model. CRH represents corticotropin releasing hormone, ACTH represents corticotropin, and CBG is corticosteroid binding globulin. Red arrows represent hormone disposal, while black arrows represent flow between the different glands and plasma. + represents a stimulatory effect while - represents an inhibitory effect.
The original paper reference is cited below:
A dynamical model for the pulsatile secretion of the hypothalamo-pituitary-adrenal axis, Yi-Wei Liu, Zhi-Hong Hu, Jian-Hua Peng, and Bing-Zheng Liu, 1999, Mathematical and Computer Modelling, 29 (Issue 4), 103-110. (No Pubmed ID)
LloydCatherineMay
This is a CellML description of Liu et al's 1999 mathematical model for the pulsatile secretion of the hypothalamic-pituitary-adrenal axis.
keywordCatherine LloydCRHcorticotropin-releasing hormonex1PengJian-Huaalbumin-bound cortisolx5
Mathematical and Computer Modelling
The Bioengineering InstituteThe University of Auckland1999-02CBG-bound cortisolx4
The University of Auckland, Auckland Bioengineering Institute
LiuBing-ZhengendocrineHPA axishpa axishypothalamusanterior pituitaryadrenal cortexcortisol2007-07-13ACTHcorticotropinx2LiuYi-WeiHuZhi-Hong
A dynamical model for the pulsatile secretion of the hypothalamo-pituitary-adrenal axis
110103429free cortisolx3c.lloyd@auckland.ac.nz0.110000100000
Liu et al's 1999 mathematical model for the pulsatile secretion of the hypothalamic-pituitary-adrenal axis.