The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Mathematical modeling of blood circulation system and its practical application.
Abstract
The human blood circulation system is represented by a nonlinear oscillation system for computer-aided digital modeling in real time scale. A parametric identification problem is formulated and its numerical solution algorithm is designed. A computer-aided blood circulation modeling and identification system is designed. The new approaches to construct real control systems for artificial and auxiliary blood circulation elements are based on neurocomputer technologies.
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In the citing paper
“Six main cardiovascular modules form a circular system of compartments (Proshin and Solodyannikov, 2006): Left ventricle, LV (denoted HL in the model notation), Systemic arteries (AL), Systemic veins (VL), Right ventricle, RV (HR), Pulmonary arteries (AR), and Pulmonary veins (VR).”
From Thoroughly Calibrated Modular Agent-Based Model of the Human Cardiovascular and Renal Systems for Blood Pressure Regulation in Health and Disease (2021) · cites this paper as Proshin and Solodyannikov, 2006
In the citing paper
“The model by Proshin and Solodyannikov (2006) considers four types of receptors, namely stress (nS), weariness (nD), and respiratory receptors (nV), as well as baroreceptors (nB).”
From Thoroughly Calibrated Modular Agent-Based Model of the Human Cardiovascular and Renal Systems for Blood Pressure Regulation in Health and Disease (2021) · cites this paper as Proshin and Solodyannikov, 2006
In the citing paper
“The comprehensive model of the human cardiovascular and renal systems is based on the range of models of renal hemodynamics (Karaaslan et al., 2005, 2014; Hallow et al., 2014; Hallow and Gebremichael, 2017a) originating from the Guyton model (Guyton et al., 1972), and the model of blood circulation system (Proshin and Solodyannikov, 2006).”
From Thoroughly Calibrated Modular Agent-Based Model of the Human Cardiovascular and Renal Systems for Blood Pressure Regulation in Health and Disease (2021) · cites this paper as Proshin and Solodyannikov, 2006
In the citing paper
“One of the main ideas of the model constructed by Proshin and Solodyannikov (2006) is the use of discrete events that determine the instantaneous change in the parameters of the left and right ventricles at the moment of a cardiac cycle start (diastole to systole transition), and at the moment when blood ejection from the ventricles stops.”
From Thoroughly Calibrated Modular Agent-Based Model of the Human Cardiovascular and Renal Systems for Blood Pressure Regulation in Health and Disease (2021) · cites this paper as Proshin and Solodyannikov, 2006
In the citing paper
“The values of 92 parameters were taken from the basic models (Guyton et al., 1972; Karaaslan et al., 2005; Proshin and Solodyannikov, 2006; Paeme et al., 2011; Hallow et al., 2014; Hallow and Gebremichael, 2017a; Rosalina et al., 2019) or found in the research articles (Gómez, 1951; Škrtić et al., 2015; Digne-Malcolm et al., 2016; Hund et al., 2017; Neal et al., 2018).”
From Thoroughly Calibrated Modular Agent-Based Model of the Human Cardiovascular and Renal Systems for Blood Pressure Regulation in Health and Disease (2021) · cites this paper as Proshin and Solodyannikov, 2006
Citations
Cites
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Cardiac output and its regulation.
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Control of heart assist devices
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Shumakov, V. I., & Zimin, N. K. (1987) · Biomedical Engineering · doi:10.1007/bf00557456
Research works printed but not linked: 15
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- Shumakov, V.I., Zimin, N.K., Itkin, G.P., and Osadchii, L.I., Iskus stvennoe serdtse (Artificial Heart), Leningrad: Nauka, 1988.
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- Novosel’tsev, V.N., Teoriya upravleniya i biosistemy (Control Theory and Biosystems), Moscow: Nauka, 1978.
- Solodyannikov, Yu.V., Elementy matematicheskogo modelirovaniya i identifikatsii sistemy krovoobrashcheniya (Elements of Mathematical Modeling and Identification of Blood Circulation System), Samara: Samar. Univ., 1994.
- Neimark, Yu.I., Metod tochechnykh otobrazhenii v teorii nelineinykh kolebanii (The Point Mapping Method in Nonlinear Oscillation Theory), Moscow: Nauka, 1972.
- Teoreticheskoe issledovanie fiziologicheskikh sistem. Matematicheskoe modelirovanie (Theoretical Investigation of Physiological Systems: Mathematical Modeling), Amosov, N.M., Ed., Kiev: Naukova Dumka, 1977.
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- Novosel’tsev, V.N., Sakharov, M.P., Dartau, L.A., and Klimov, A.I., Modeling of Baroreceptor Relations in an Organism and Their Normalization in Artificial Blood Circulation, Vest. Akad. Med. Nauk, 1973, no. 3, pp. 53–56.
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Sorted by citations
Kutumova, E., Kiselev, I., Sharipov, R., Lifshits, G., & Kolpakov, F. (2021) · Frontiers in Physiology · doi:10.3389/fphys.2021.746300 · Cited by 16
Modular Modeling of the Human Cardiovascular System
Kiselev, I. N. (2012) · Mathematical Biology and Bioinformatics · doi:10.17537/2012.7.703 · Cited by 14
Mathematical modeling of antihypertensive therapy
Kutumova, E. O., Kiselev, I. N., Sharipov, R., Израйлевна, Л. Г., & Kolpakov, F. (2022) · Frontiers in Physiology · doi:10.3389/fphys.2022.1070115 · Cited by 13
Kutumova, E. O., Kovaleva, A. Y., Sharipov, R., Израйлевна, Л. Г., & Kolpakov, F. (2024) · Heliyon · doi:10.1016/j.heliyon.2024.e29988 · Cited by 12
Identification of the parameters of blood circulation system
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Self-citationA Mathematical Model of Neurohumoral Regulation of the Circulatory System
Syrbu, A. I., Itkin, G. P., Kuleshov, A. P., & Gaidai, N. A. (2021) · Biomedical Engineering · doi:10.1007/s10527-021-10119-6 · Cited by 2
A computational model of age‐dependent cardiomyocyte apoptosis
Kutumova, E. O., Kiselev, I. N., & Kolpakov, F. (2025) · The Journal of Physiology · doi:10.1113/jp288853 · Cited by 2
Research on blood circulation system identifiability
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Borodulina, A. D., Kutumova, E. O., Израйлевна, Л. Г., & Kolpakov, F. (2023) · Mathematical Biology and Bioinformatics · doi:10.17537/2023.18.228 · Cited by 1
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Metadata
- Authors
- Proshin, A. P., & Solodyannikov, Y. V.
- Affiliations
- Povolzhskiy State University of Telecommunications and Informatics (RU)
- Venue
- Automation and Remote Control
- Publisher
- Pleiades Publishing Ltd
- Published
- 2006-02
- Volume
- 67
- Issue
- 2
- Pages
- 329-341
- ISSN
- 0005-1179 (ISSN-L)
- 1608-3032
- OpenAlex
- W2063258551
- Cited by
- 12
- References
- 6
- Citations by year
- 2025: 1 · 2024: 1 · 2023: 1 · 2022: 1 · 2021: 2 · 2019: 1 · 2018: 1 · 2013: 1 · 2012: 1
- FWCI
- 0.76
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Automation and Remote Control (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Mechanical Circulatory Support Devices
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Heart Rate Variability and Autonomic Control
- Keywords
- blood circulation system, parameter estimation, computer-aided modeling, artificial circulation
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