A mathematical model of the regulation system of the secretion of glucocorticoids
Catherine
Lloyd
Auckland Bioengineering Institute, The University of Auckland
Model Status
This CellML model is known to run in OpenCell and COR and can recreate the published results. The units have been checked and are consistent.
Model Structure
ABSTRACT: We propose a mathematical model for the regulation system of the secretion of glucocorticoids and determined the coefficients in the system of ordinary differential equations. Some results are calculated which agree with the experimental results.
The original paper reference is cited below:
A mathematical model of the regulation system of the secretion of glucocorticoids, Liu Bingzheng, Zhao Zhenye and Chen Liansong, 1990,
Journal of Biological Physics, volume 17, issue 4, 221-233.
model diagram
The HPA axis model has three compartments, namely the hypothalamus, pituitary and adrenals. Neural signals trigger CRF secretion by the hypothalamus. In turn, this signals to the pituitary to release ACTH which stimulates the adrenal gland to release cortisol. Cortisol acts on the hypothalamus and the pituitary to have a negative feedback effect on the release of CRH and ACTH respectively.
$\frac{d \mathrm{X1}}{d \mathrm{time}}=\mathrm{a0}+\frac{\mathrm{a1}}{1.0+\mathrm{a2}\mathrm{X3}}-\mathrm{b1}\mathrm{X1}$
$\frac{d \mathrm{X2}}{d \mathrm{time}}=\frac{\mathrm{a3}+\mathrm{a4}\mathrm{X1}}{1.0+\mathrm{a5}\mathrm{X3}}-\mathrm{b2}\mathrm{X2}$
$\frac{d \mathrm{X3}}{d \mathrm{time}}=\mathrm{a6}+\mathrm{a7}\mathrm{X2}-\mathrm{b3}\mathrm{X3}$
glucocorticoids
hypothalamus
cortisol
HPA axis
endocrine
2007-12-03T00:00:00+00:00
1990-12
Catherine Lloyd
The University of Auckland, Auckland Bioengineering Institute
A mathematical model of the regulation system of the secretion of glucocorticoids
17
221
233
Bingzheng, Zhenye, and Liansong's 1990 mathematical model of the regulation system of the secretion of glucocorticoids.
hypothalamic pituitary adrenal axis
This CellML model is known to run in PCEnv and COR and can recreate the published results. The units have been checked and they are consistent.
Journal of Biological Physics
cortisol
X3
ACTH
adrenocorticotropic hormone
X2
CRH
corticotropin releasing hormone
X1
Chen
Liansong
c.lloyd@auckland.ac.nz
Zhao
Zhenye
keyword
Catherine
Lloyd
May
updated documentation: curation status, removed reference links
The University of Auckland
Auckland Bioengineering Institute
2009-05-28T14:56:57+12:00
This is the CellML description of Bingzheng, Zhenye, and Liansong's 1990 mathematical model of the regulation system of the secretion of glucocorticoids.
Catherine Lloyd
Liu
Bingzheng
James
Lawson
Richard