2018
DOI: 10.3389/fphys.2018.00148
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Bond Graph Model of Cerebral Circulation: Toward Clinically Feasible Systemic Blood Flow Simulations

Abstract: We propose a detailed CellML model of the human cerebral circulation that runs faster than real time on a desktop computer and is designed for use in clinical settings when the speed of response is important. A lumped parameter mathematical model, which is based on a one-dimensional formulation of the flow of an incompressible fluid in distensible vessels, is constructed using a bond graph formulation to ensure mass conservation and energy conservation. The model includes arterial vessels with geometric and an… Show more

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Cited by 39 publications
(69 citation statements)
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“…Particularly the VPH Physiome Project pursues a vision where models and sub-models are reproducible, reusable, and discoverable (Nickerson and Hunter, 2017 ), e.g., by elaborating standardized markup-language descriptions of computational models, data, and measurement protocols. The project aims to describe the Physiome through ordinary and partial differential equations (ODEs and PDEs) that are made compatible, e.g., by enforcing energy and mass fluxes through Bond-graph theory (Paynter, 1961 ; Safaei et al, 2018 ), and by employing standardized naming conventions/ontologies and formats (e.g., CellML, SBML Chaouiya et al, 2013 , FieldML) that are in turn compatible with general purpose solvers such as OpenCOR and OpenCMISS (Hunter, 2016 ).…”
Section: Discussionmentioning
confidence: 99%
“…Particularly the VPH Physiome Project pursues a vision where models and sub-models are reproducible, reusable, and discoverable (Nickerson and Hunter, 2017 ), e.g., by elaborating standardized markup-language descriptions of computational models, data, and measurement protocols. The project aims to describe the Physiome through ordinary and partial differential equations (ODEs and PDEs) that are made compatible, e.g., by enforcing energy and mass fluxes through Bond-graph theory (Paynter, 1961 ; Safaei et al, 2018 ), and by employing standardized naming conventions/ontologies and formats (e.g., CellML, SBML Chaouiya et al, 2013 , FieldML) that are in turn compatible with general purpose solvers such as OpenCOR and OpenCMISS (Hunter, 2016 ).…”
Section: Discussionmentioning
confidence: 99%
“…Complex physiome models capture the heart alone, but have also been created for the entire heart and circulation [60,69]. Increasingly, there are simplified systems and bond graph approaches to make these models computationally tractable and lower intensity [85][86][87]. However, these models still suffer from a level of complexity that does not permit ready identification [14], limiting their use in the context reviewed here.…”
Section: Dynamic System Models Of the Cardiovascular Systemmentioning
confidence: 99%
“…The primary paper Safaei et al (2018) aimed to achieve two goals in cardiovascular system modelling: making the model subject-specific and fast enough to be useful in a clinical setting. An existing cardiovascular model, Anatomically Detailed Arterial Network (ADAN) model Blanco et al (2015), utilises a detailed geometry of the cardiovascular system and simulates the blood flow by solving 1D version of the Navier-Stokes equations in compliant domains.…”
Section: Introductionmentioning
confidence: 99%