Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 356, Issue 1, Pages 145-153Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2009.02.025
Keywords
Bicarbonate system; Henderson-Hasselbalch equation; pH; Liapunov's method; Reaction-diffusion; Equilibrium; Stability
Categories
Ask authors/readers for more resources
In this paper, we describe a mathematical model about the reaction-diffusion kinetics of bicarbonate system, which it plays a key role in regulating blood pH. It is very important to know the determinants of blood pH in both experimental and theoretical studies, in order to help to investigate the hidden mechanism of acid-base disorders in the clinical setting. We explore the dynamics of the bicarbonate system under the closed condition. This condition yields that the total amount of carbon dioxide is conserved and the difference in concentrations between anions and cations is conserved. For the stability of the model, we hypothesize that the amount of initial concentrations perturbed around an equilibrium point is less than a certain constant depending on a rate constant. With an application of Liapunov's method, we prove that the model in the form of reaction-diffusion system is globally stable under the hypothesis. We also provide the blood pH profile, which is Computed in our model with the experimentally observed rate constants. (C) 2009 Elsevier Inc. All rights reserved
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available