Influence of Captopril Treatment of Plasma Renin Activity – Mathematical Model

  • 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)
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
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
Section
Research articles
CITATION
DOI: 10.15835/nsb234709