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Computational and Mathematical Methods in Medicine
Volume 2013, Article ID 429037, 8 pages
http://dx.doi.org/10.1155/2013/429037
Research Article

Circadian Models of Serum Potassium, Sodium, and Calcium Concentrations in Healthy Individuals and Their Application to Cardiac Electrophysiology Simulations at Individual Level

1Department of Statistics, Cracow University of Economics, 27 Rakowicka Street, 31-510 Krakow, Poland
2Department of Oncology, Jagiellonian University Medical College, 20 Grzegorzecka Street, 31-531 Krakow, Poland
3Unit of Pharmacoepidemiology and Pharmacoeconomics, Faculty of Pharmacy, Jagiellonian University Medical College, Medyczna 9 Street, 30-688 Krakow, Poland

Received 27 May 2013; Accepted 25 July 2013

Academic Editor: Michele Migliore

Copyright © 2013 Kamil Fijorek et al. This is an open access article, distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the article a brief description of the biological basis of the regulation of human biological clocks was presented in order to introduce the role of circadian rhythms in physiology and specifically in the pharmacological translational tools based on the computational physiology models to motivate the need to provide models of circadian fluctuation in plasma cations. The main aim of the study was to develop statistical models of the circadian rhythm of potassium, sodium, and calcium concentrations in plasma. The developed ion models were further tested by assessing their influence on QT duration (cardiac endpoint) as simulated by the biophysically detailed models of human left ventricular cardiomyocyte. The main results are model equations along with an electronic supplement to the article that contains a fully functional implementation of all models.