Simulating of human physiological supersystems: modeling of kidney and bladder functions

R.D. Grygoryan, A.G. Degoda, T.V. Lyudovyk, O.I. Yurchak


A quantitative model describing the functions of human kidney and bladder is created. The model is realized and tested as an autonomous C# software module (SM) functioning under given dynamic input characteristics. Finally, SM will be incorporated into our specialized general software capable of simulating the main modes of human integrative physiology, namely, interactions of physiological super-system (PSS). The model of the kidney describes mechanisms of blood filtration in Bowman’s capsule, reabsorption in collecting tubules, as well as the central renin-angiotensin system mechanism. The model of the bladder describes the dynamics of its filling and periodic emptying. Each act of bladder emptying is initiated by a signal generated by the brain in response to afferent impulse patterns from the bladder’s mechanoreceptors. Models have been tested using algorithms that design scenarios, including simulation of either short-time or long-time (hours or days) observations. Input data include different combinations of pressure in renal afferent arterioles, osmotic, and oncotic blood pressures. Output data includes dynamics of primary urine, final urine, bladder volume, urine pressure, mechanoreceptors’ activity, renin production velocity, blood renin concentration, angiotensin2 production velocity, and blood angiotensin2 concentration, as well as blood albumin and sodium concentrations. Both student-medics and physiologists interested in providing theoretical research can be users of SM.

Prombles in programming 2023; 4: 56-64


physical health; kidney; bladder; physiological mechanisms; quantitative model; simulator

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Grygoryan R.D., Sagach V.F. The concept of physiological super-systems: New stage of integrative physiology. Int. J. Physiol. and Pathophysiology, 2018: 9,2,169-180. CrossRef

Grygoryan RD. The optimal circulation: cells contribution to arterial pressure. N.Y.: Nova Science,2017: 287p. ISBN 978-1-53612-295-4.

Grygoryan RD. The Optimal Coexistence of Cells: How Could Human Cells Create The Integrative Physiology. J. of Human Physiol. 2019,1 (01):8-28. DOI 10.30564/jhp.v1i1.1386.

Grygoryan R.D. Problem-oriented computer simulators for solving of theoretical and applied tasks of human physiology. Problems of programming. 2017, №3, 102-111. CrossRef

Grygoryan R.D., Yurchak O.I., Degoda A.G., Lyudovyk T.V. Specialized soft-ware for simulating the multiple control and modulations of human hemodynamics. Prombles in programming. 2021; 2: 42-53. CrossRef

Grygoryan R.D., Degoda A.G., Lyudovyk T.V., Yurchak O.I. Simula-tions of human hemodynamic responses to blood temperature and volume changes. Prombles in programming. 2023; 1: 19-29.


Grygoryan R.D. Modeling of mechanisms providing the overall control of human circulation. Advances in Human Physiology Research, 2022,4,5 - 21. CrossRef

Grygoryan R.D., Degoda A.G., Lyudovyk T.V., Yurchak O.I. Simulating of human physiological supersystems: interactions of cardiovascular, thermoregulatory and respiratory systems. Problems of programming. 2023, №3, Р. 81-90. CrossRef

Zaritski R. M. Models of complex dynamics in glomerular filtration rate. Ph.D. dissertation, State University of New York, Buffalo, New York,1999.

Thomas S.R. Mathematical models for kidney function focusing on clinical interest. Morphologie, 2019, 103, Issue 343, 161-168.


Sgouralis I, Layton AT. Mathematical modeling of renal hemodynamics in physiology and pathophysiology. Math Biosci. 2015;264:8-20. CrossRef

Cupples WA, Braam B. Assessment of renal autoregulation. Am J Physiol Renal Physiol. 2007;292(4):F1105-23. CrossRef

Williamson GA, Loutzenhiser R, Wang X, Griffin K, Bidani AK. Systolic and mean blood pressures and afferent arteriolar myogenic response dynamics: a modeling approach. Am J Physiol Regul Integr Comp Physiol. 2008;295(5):R1502-511. CrossRef

Ryu H, Layton AT. Effect of tubular in-homogeneities on feedback-mediated dynamics of a model of a thick ascending limb. Math Med Biol. 2013;30(3):191-212. CrossRef

Weinstein, A. M. Mathematical models of renal fluid and electrolyte transport: acknowledging our uncertainty. American Journal of Physiology - Renal Physiology. 2003, 284, 871-884. CrossRef



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