Lumped models of the cardiovascular system of various complexity

• Autorzy: Ježek F. , Kulhánek T. , Kalecký K. , Kofránek J.

Identyfikatory

DOI

10.1016/j.bbe.2017.08.001

• Języki publikacji: EN

Abstrakty

EN

Purpose: The main objective is to accelerate the mathematical modeling of complex systems and offer the researchers an accessible and standardized platform for model sharing and reusing. Methods: We describe a methodology for creating mathematical lumped models, decomposing a system into basic components represented by elementary physical laws and relationships expressed as equations. Our approach is based on Modelica, an object-oriented, equation-based, visual, non-proprietary modeling language, together with Physiolibrary, an open-source library for the domain of physiology. Results: We demonstrate this methodology on an open implementation of a range of simple to complex cardiovascular models, with great complexity variance (simulation time from several seconds to hours). The parts of different complexity could be combined together. Conclusions: Thanks to the equation-based nature of Modelica, a hierarchy of subsystems can be built with an appropriate connecting component. Such a structural model follows the concept of the system rather than the computational order. Such a model representation retains structural knowledge, which is important for e.g., model maintainability and reusability of the components and multidisciplinary cooperation with domain experts not familiar with modeling methods.

Słowa kluczowe

EN

Modelica; modeling methodology; cardiovascular modelling; lumped model

PL

język Modelica; metodyka modelowania; układ sercowo-naczyniowy

• Wydawca: Nałęcz Institute of Biocybernetics and Biomedical Engineering of the Polish Academy of Sciences ; Elsevier
• Czasopismo: Biocybernetics and Biomedical Engineering
• Rocznik: 2017
• Tom: Vol. 37, no. 4
• Strony: 666--678
• Opis fizyczny: Bibliogr. 40 poz., rys., tab., wykr.

Twórcy

autor

Ježek F.

• Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo namesti 13, 121 35 Prague 2, Czech Republic

autor

Kulhánek T.

• The Institute of Pathological Physiology, First Faculty of Medicine, Charles University in Prague, Prague, Czech Republic

autor

Kalecký K.

• Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech Republic

autor

Kofránek J.

• The Institute of Pathological Physiology, First Faculty of Medicine, Charles University in Prague, Prague, Czech Republic

Bibliografia

• [1] Kalecký K. Relationship of heart's pumping function and pressure-flow patterns in reduced arterial tree. Czech Technical University; 2015.
• [2] Cellier FE, Nebot A. Object-oriented modeling in the service of medicine. Proc. 6th Asia simulation conference. 2005. pp. 33–40.
• [3] Guyton AC, Coleman TG, Granger HJ. Circulation: overall regulation. Annu Rev Physiol 1972;34:13–46.
• [4] Kofránek J, Rusz J. Restoration of Guyton's diagram for regulation of the circulation as a basis for quantitative physiological model development. Physiol Res 2010.
• [5] Hester RL, Brown AJ, Husband L, Iliescu R, Pruett D, Summers R, et al. HumMod: a modeling environment for the simulation of integrative human physiology. Front Physiol 2011;2:12.
• [6] Hucka M, Finney A, Bornstein BJ, Keating SM, Shapiro BE, Matthews J, et al. Evolving a lingua franca and associated software infrastructure for computational systems biology: the Systems Biology Markup Language (SBML) project. Syst Biol 2004;1:41–53.
• [7] Lloyd CM, Lawson JR, Hunter PJ, Nielsen PF. The CellML model repository. Bioinformatics 2008;24:2122–3.
• [8] Raymond GM, Butterworth E, Bassingthwaighte JB. JSIM: free software package for teaching physiological modeling and research. FASEB J 2003;17:A390.
• [9] Fontecave-Jallon J, Thomas SR. Implementation of a model of bodily fluids regulation. Acta Biotheor 2015;63:269–82.
• [10] Brunberg A, Spillner J, Autschbach R, Abel D. Simulation physiologischer Regelkreise mit der objektorientierten Modellbibliothek ‘‘HumanLib’’. Automatisierungstechnik 2011;59:649–55.
• [11] de Canete JF, Luque J, Barbancho J, Munoz V. Modelling of long-term and short-term mechanisms of arterial pressure control in the cardiovascular system: an object-oriented approach. Comput Biol Med 2014;47:104–12.
• [12] Kulhánek T, Kofránek J, Mateják M. Modeling of short-term mechanism of arterial pressure control in the cardiovascular system: object-oriented and acausal approach. Comput Biol Med 2014;54:137–44.
• [13] Mateják M, Kofránek J. Physiomodel – an integrative physiology in Modelica. 2015 37th annual international conference of the IEEE Engineering in Medicine and Biology Society (EMBC). 2015. pp. 1464–7.
• [14] Kretschmer J, Wahl A, Möller K. Dynamically generated models for medical decision support systems. Comput Biol Med 2011;41:899–907.
• [15] Kofránek J, Mateják M, Privitzer P, Tribula M. Causal or acausal modeling: labour for humans or labour for machines. Tech Comput Prague 2008;1–16.
• [16] de Canete JF, del Saz-Orozco P, Moreno-Boza D, Duran- Venegas E. Object-oriented modeling and simulation of the closed loop cardiovascular system by using SIMSCAPE. Comput Biol Med 2013;43:323–33.
• [17] Fritzson P. Principles of object-oriented modeling and simulation with Modelica 3.3: a cyber-physical approach. John Wiley & Sons; 2015.
• [18] Petzold LR, et al. A description of DASSL: a differential/ algebraic system solver. Proc. IMACS world congress. 1982. pp. 430–2.
• [19] Mateják M, Kulhánek T, Šilar J, Privitzer P, Ježek F, Kofránek J. Physiolibrary – Modelica library for physiology. 10th International Modelica conference; 2014.
• [20] Smith BW, Chase JG, Nokes RI, Shaw GM, Wake G. Minimal haemodynamic system model including ventricular interaction and valve dynamics. Med Eng Phys 2004;26:131–9.
• [21] Hernández AI, Le Rolle V, Ojeda D, Baconnier P, Fontecave- Jallon J, Guillaud F, et al. Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation. Prog Biophys Mol Biol 2011;107:169–82.
• [22] Burkhoff D, Tyberg JV. Why does pulmonary venous pressure rise after onset of LV dysfunction: a theoretical analysis. Am J Physiol 1993;265:H1819–28.
• [23] van Meurs W. Modeling and simulation in biomedical engineering: applications in cardiorespiratory physiology. 1st ed. McGraw-Hill Education; 2011.
• [24] Mitamura Y. Control aspects of the circulatory system. IFAC control aspects of biomedical engineering; 1987.
• [25] Lumens J, Delhaas T, Kirn B, Arts T. Three-wall segment (TriSeg) model describing mechanics and hemodynamics of ventricular interaction. Ann Biomed Eng 2009;37:2234–55.
• [26] Bovendeerd PHM, Borsje P, Arts T, van De Vosse FN. Dependence of intramyocardial pressure and coronary flow on ventricular loading and contractility: a model study. Ann Biomed Eng 2006;34:1833–45.
• [27] Mynard JP, Davidson MR, Penny DJ, Smolich JJ. A simple, versatile valve model for use in lumped parameter and one-dimensional cardiovascular models. Int J Numer Methods Biomed Eng 2012;28:626–41.
• [28] Department of Biomedical Engineering, Maastricht University. Downloads – CircAdapt | learning cardiovascular physiology. CircAdapt: Advanced Cardiovascular Modeling and Simulation 2013. http://www.circadapt.org/downloads [accessed 25.02.16].
• [29] Avolio AP. Multi-branched model of the human arterial system. Med Biol Eng Comput 1980;18:709–18.
• [30] Shi Y, Lawford P, Hose R. Review of Zero-D and 1-D models of blood flow in the cardiovascular system. Biomed Eng 2011;10:1–38.
• [31] Schampaert S, Rutten MCM, van T Veer M, van Nunen LX, Tonino PAL, Pijls NHJ, et al. Modeling the interaction between the intra-aortic balloon pump and the cardiovascular system: the effect of timing. ASAIO J 2013;59:30–6.
• [32] Itoh H, Ichiba S, Ujike Y, Douguchi T, Obata H, Inamori S, et al. Effect of the pulsatile extracorporeal membrane oxygenation on hemodynamic energy and systemic microcirculation in a piglet model of acute cardiac failure. Artif Organs 2016;40:19–26.
• [33] Heldt T, Mukkamala R, Moody GB, Mark RG. CVSim: an open-source cardiovascular simulator for teaching and research. Open Pacing Electrophysiol Ther J 2010;3:45–54.
• [34] Ntaganda JM, Mampassi B. CARDIOGUI: an interface guide to simulate cardiovascular respiratory system during physical activity. AM 2012;03:2000–6.
• [35] PVLoops LLC n.d. http://www.pvloops.com/ [accessed 22.08.16].
• [36] Zhang S. An IIOP architecture for Web-enabled physiological models. Massachusetts Institute of Technology; 2001.
• [37] Fresiello L, Ferrari G, Di Molfetta A, Zieliński K, Tzallas A, Jacobs S, et al. A cardiovascular simulator tailored for training and clinical uses. J Biomed Inform 2015;57:100–12.
• [38] Modelica Association. Tools | Functional Mock-up Interface; 2017, http://fmi-standard.org/tools/ [accessed 21.07.17].
• [39] Gesenhues J, Hein M, Ketelhut M, Habigt M, Rüschen D, Mechelinck M, et al. Benefits of object-oriented models and ModeliChart: modern tools and methods for the interdisciplinary research on smart biomedical technology. Biomed Tech 2017;62:111–21.
• [40] Ježek F. Physiolibrary models. GitHub n.d. https://github.com/filip-jezek/Physiolibrary.models [accessed 20.07.17].

Uwagi

PL

Opracowanie w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).