Influence of Captopril Treatment of Plasma Renin Activity – Mathematical Model

Kaloyan Bonchev YANKOV; Anna Naidenova TOLEKOVA

doi:10.15835/nsb234709

Influence of Captopril Treatment of Plasma Renin Activity – Mathematical Model

Authors

Kaloyan Bonchev YANKOV Trakia University, Medical Faculty, Computer Center (BG)
Anna Naidenova TOLEKOVA Trakia University, Medical Faculty, Department of Physiology, Pathophysiology and Pharmacology, 11 Armeiska str., Stara Zagora 6000 (BG)

DOI:

https://doi.org/10.15835/nsb234709

Keywords:

plasma renin activity, renin angiotensin system, mathematical model, system identification

Abstract

A model of the dynamics of plasma renin activity under the influence of various doses of captopril is formulated. The influence of captopril on renin angiotensin system is different from the effects of the other studied drugs – nifedipine and nicardipine. Captopril inhibits the feedback in renin-angiotensin system and the upward trend of the renin activity is a proportional of the intrinsic growth rate. This dependence can be described using a modified Verhulst logistic function is proposed. The model is identified using the Korelia-Dynamics program. As optimization method for data identification a cyclic coordinate descent method is used. The residuals between the experimental data and the identified model are minimized applying least square or uniform fitting. The model allows prediction the effects of different captopril doses and permits the researcher to study the behavior of the renin angiotensin system under variety of conceivable conditions.

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Author Biographies

Kaloyan Bonchev YANKOV, Trakia University, Medical Faculty, Computer Center

Medical Faculty, Trakia University

Anna Naidenova TOLEKOVA, Trakia University, Medical Faculty, Department of Physiology, Pathophysiology and Pharmacology, 11 Armeiska str., Stara Zagora 6000

Department of Physiology, Pathophysiology and Pharmacology, Medical Faculty, Trakia University Head of section of Physiology

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Published

2010-09-27

How to Cite

YANKOV, K. B., & TOLEKOVA, A. N. (2010). Influence of Captopril Treatment of Plasma Renin Activity – Mathematical Model. Notulae Scientia Biologicae, 2(3), 07–11. https://doi.org/10.15835/nsb234709

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Issue

Vol. 2 No. 3 (2010)

Section

Research articles

CITATION

DOI: 10.15835/nsb234709

License

Papers published in Notulae Scientia Biologicae are Open-Access, distributed under the terms and conditions of the Creative Commons Attribution License.

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