Mathematical model of the human renal system

Uttamsingh, R.J.; Leaning, M.S.; Bushman, J.A.; Carson, Ewart R.; Finkelstein, L.

doi:10.1007/bf02455306

Cited by 55 publications

(62 citation statements)

References 34 publications

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“…In the subsequent years Uttamsingh has developed a detailed mathematical model of the long-term renal system dynamics 40 also including some basic cardiovascular dynamics. The main novelty in Uttamsingh's model 40 is the dependence of renin secretion on the macula densa sodium flow.…”

Section: Some Mathematical Models Of the Cardiovascular/renal Systemmentioning

confidence: 99%

“…The most extensive mathematical model of the cardiovascular system known in the literature is the one developed by Guyton et al 22 Other models related to the cardiovascular system include Uttamsingh's and Coleman's models 7,40 which basically focus on the renal system. Although these models include most of the mechanisms responsible for blood volume control, the effects of the renal nerve are accounted for in only Guyton's model 22 and this in a very limited manner.…”

Section: Introductionmentioning

confidence: 99%

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Long-Term Mathematical Model Involving Renal Sympathetic Nerve Activity, Arterial Pressure, and Sodium Excretion

et al. 2005

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This paper presents a physiological long-term model of the cardiovascular system. It integrates the previous models developed by Guyton, Uttamsingh and Coleman. Additionally it introduces mechanisms of direct effects of the renal sympathetic nerve activity (rsna) on tubular sodium reabsorption and renin secretion in accordance with experimental data from literature. The resulting mathematical model constitutes the first long-term model of the cardiovascular system accounting for the effects of rsna on kidney functions in such detail. The objective of developing such a model is to observe the consequences of long-term rsna increase and impairment of rsna inhibition under volume loading. This model provides an understanding of the rsna-related mechanisms, which cause mean arterial pressure increase in hypertension and total sodium amount increase (sodium retention) in congestive heart failure, nephrotic syndrome and cirrhosis.

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Section: Some Mathematical Models Of the Cardiovascular/renal Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Long-Term Mathematical Model Involving Renal Sympathetic Nerve Activity, Arterial Pressure, and Sodium Excretion

et al. 2005

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“…First, in the initial years of modeling and computer simulations, there was relatively high interest in attempting to simulate the whole kidney (e.g., Refs. 6,7,16). At some point, it became clear that the models needed more detail, and the model of glomerular filtration by Deen et al (3) is exemplary for this refinement (3).…”

Section: In a Recent Issue Of The American Journal Of Physiology-renalmentioning

confidence: 99%

Advancement in integrated models of renal function: closing the gap between simulation and real life

Braam

2014

American Journal of Physiology-Renal Physiology

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IN A RECENT ISSUE OF THE AMERICAN Journal of Physiology-RenalPhysiology, Moss and Thomas (12a) present a whole kidney lumped mathematical model that incorporates glomerular and tubular function, differentiates cortical and medullary function, and describes vascular and reabsorptive characteristics of the kidney. The model explores regulation of renal function by angiotensin II (ANG II) and antidiuretic hormone (ADH) and simulates actions of a thiazide and of amiloride. This audacious model of integrated renal function altogether is quite successful in simulating renal function, albeit with some caveats. There have been surprisingly few attempts to simulate overall renal function in the literature, yet we are in such strong need of modeling for a variety of reasons. Before returning to this, let us review briefly how mathematical modeling of renal function has developed from the perhaps biased eyes of a clinician/ physiologist.Why is trying to formulate mathematical models important? Transitioning from experimental data addressing a specific hypothesis to induced theories is one step; however, formal description of the theory might reveal inconsistencies. It is exactly at this point that physiology, based on observation and physics, meets mathematics, based on axioms and logic. As a consequence, a mathematical model will challenge the consistency of physiological theories. Modeling can also be used to simulate, with the objective of learning about the behavior of physiological systems, which are too complex to be handled by the human brain. This can be purely out of scientific interest to see how closely the composite system relates to observational real life data, or for education. Last, models may be used in a predictive or prognostic fashion (in fact also a form of simulation). The latter requires intense verification and validation.When one inspects the literature of the last approximately 40 years on modeling and renal function, a number of interesting observations can be made. First, in the initial years of modeling and computer simulations, there was relatively high interest in attempting to simulate the whole kidney (e.g., Refs. 6,7,16). At some point, it became clear that the models needed more detail, and the model of glomerular filtration by Deen et al. (3) is exemplary for this refinement (3). Since then, there have been progressive refinements in models of the concentration mechanism (9, 15), of autoregulation and more specifically of tubuloglomerular feedback (13,14), and of tubular reabsorption of the various parts of the nephron (e.g., Ref. 18). One area that is being developed is the coupling of function between neighboring nephrons or groups of nephrons (10), for which data are currently being generated using new technology (Laser Speckle imaging) (4). Similarly, the relationship between vascular anatomy and hemodynamic function is being investigated by improving the technology of microcomputerized tomography (11). Modeling has not yet been applied with respect to the large amount of molecular d...

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“…Одной из наиболее проработанных моделей человеческой ССС, подробно описывающих работу почки, является модель долговременной регуляции артериального давления, разработанная Ф. Караасланом с соавторами [2]. Данная модель была создана на основе предыдущих работ: Гайтона с соавторами [3], Уттамсингха с соавторами [4] и Коулмана и Холла [5].…”

Section: модель долговременной почечной регуляцииunclassified

“…На данный момент 1 Работа выполнена при финансовой поддержке междисциплинарного интеграционного проекта фундаментальных исследований СО РАН № 91 и госконтракта 02. 740 существует большое количество моделей, делающих упор на различные аспекты регуляции кровообращения, например, [1][2][3][4][5][6][7][8][9].…”

Section: Introductionunclassified

Modular Modeling of the Human Cardiovascular System

Kiselev¹

2012

Math.Biol.Bioinf.

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Аннотация. В работе рассмотрена комплексная модель сердечно-сосудистой системы человека, созданная путем объединения ряда ранее существовавших математических моделей, использующих различные математические формализмы: одномерной модели артериальной системы человека, модели циркуляции крови под действием сокращений желудочка и модели долговременных эффектов регуляции сердца и почки. Объединение этих моделей было осуществлено с применением модульного и агентного подходов, которые были реализованы на языке Java в виде программных модулей к платформе BioUML. Написанные программные модули позволяют графически создавать агентные модели в виде модульных диаграмм, состоящих из связанных между собой блоков (модулей), и проводить численные расчеты. Все описанные модели были реализованы в BioUML и интегрированы в единую модульную модель сердечно-сосудистой системы человека. Модель была протестирована, и получены предварительные результаты симуляции некоторых классических патологий системы кровообращения человека. Модель доступна в составе пакета программ BioUML по адресу http://ie.biouml.org/bioumlweb. ВВЕДЕНИЕКомпьютерное моделирование сердечно-сосудистой системы (ССС) человека является одной из наиболее актуальных задач современной науки. Создание ее полной модели позволит перенести эксперименты в область in silico и увеличить производительность научных исследований в области создания лекарств нового поколения. На данный момент 1 Работа выполнена при финансовой поддержке междисциплинарного интеграционного проекта фундаментальных исследований СО РАН № 91 и госконтракта 02.740.11.0705 Министерства образования и науки РФ. * axec@systemsbiology.ru

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Mathematical model of the human renal system

Cited by 55 publications

References 34 publications

Long-Term Mathematical Model Involving Renal Sympathetic Nerve Activity, Arterial Pressure, and Sodium Excretion

Long-Term Mathematical Model Involving Renal Sympathetic Nerve Activity, Arterial Pressure, and Sodium Excretion

Advancement in integrated models of renal function: closing the gap between simulation and real life

Modular Modeling of the Human Cardiovascular System

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