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Hoekstra AG, Alowayyed S, Lorenz E, Melnikova N, Mountrakis L, van Rooij B, Svitenkov A, Závodszky G, Zun P. Towards the virtual artery: a multiscale model for vascular physiology at the physics-chemistry-biology interface. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2016; 374:rsta.2016.0146. [PMID: 27698036 PMCID: PMC5052730 DOI: 10.1098/rsta.2016.0146] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 07/14/2016] [Indexed: 05/27/2023]
Abstract
This discussion paper introduces the concept of the Virtual Artery as a multiscale model for arterial physiology and pathologies at the physics-chemistry-biology (PCB) interface. The cellular level is identified as the mesoscopic level, and we argue that by coupling cell-based models with other relevant models on the macro- and microscale, a versatile model of arterial health and disease can be composed. We review the necessary ingredients, both models of arteries at many different scales, as well as generic methods to compose multiscale models. Next, we discuss how this can be combined into the virtual artery. Finally, we argue that the concept of models at the PCB interface could or perhaps should become a powerful paradigm, not only as in our case for studying physiology, but also for many other systems that have such PCB interfaces.This article is part of the themed issue 'Multiscale modelling at the physics-chemistry-biology interface'.
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Affiliation(s)
- Alfons G Hoekstra
- Computational Science Laboratory, Institute for Informatics, Faculty of Science, University of Amsterdam, Sciencepark 904, 1098 XH Amsterdam, The Netherlands High Performance Computing Department, ITMO University, Saint Petersburg, Russia
| | - Saad Alowayyed
- Computational Science Laboratory, Institute for Informatics, Faculty of Science, University of Amsterdam, Sciencepark 904, 1098 XH Amsterdam, The Netherlands King Abdulaziz City for Science and Technology (KACST), Riyadh, Saudi Arabia
| | - Eric Lorenz
- Computational Science Laboratory, Institute for Informatics, Faculty of Science, University of Amsterdam, Sciencepark 904, 1098 XH Amsterdam, The Netherlands Electric Ant Lab BV, Panamalaan 4 K, 1019AZ Amsterdam, The Netherlands
| | - Natalia Melnikova
- High Performance Computing Department, ITMO University, Saint Petersburg, Russia
| | - Lampros Mountrakis
- Computational Science Laboratory, Institute for Informatics, Faculty of Science, University of Amsterdam, Sciencepark 904, 1098 XH Amsterdam, The Netherlands
| | - Britt van Rooij
- Computational Science Laboratory, Institute for Informatics, Faculty of Science, University of Amsterdam, Sciencepark 904, 1098 XH Amsterdam, The Netherlands
| | - Andrew Svitenkov
- High Performance Computing Department, ITMO University, Saint Petersburg, Russia
| | - Gábor Závodszky
- Computational Science Laboratory, Institute for Informatics, Faculty of Science, University of Amsterdam, Sciencepark 904, 1098 XH Amsterdam, The Netherlands
| | - Pavel Zun
- High Performance Computing Department, ITMO University, Saint Petersburg, Russia
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Hoekstra A, Chopard B, Coveney P. Multiscale modelling and simulation: a position paper. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A: MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES 2014; 372:rsta.2013.0377. [PMID: 24982256 DOI: 10.1098/rsta.2013.0377] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/18/2023]
Abstract
We argue that, despite the fact that the field of multiscale modelling and simulation has enjoyed significant success within the past decade, it still holds many open questions that are deemed important but so far have barely been explored. We believe that this is at least in part due to the fact that the field has been mainly developed within disciplinary silos. The principal topics that in our view would benefit from a targeted
multidisciplinary
research effort are related to reaching consensus as to what exactly one means by ‘multiscale modelling’, formulating a generic theory or calculus of multiscale modelling, applying such concepts to the urgent question of validation and verification of multiscale models, and the issue of numerical error propagation in multiscale models. Moreover, we believe that this would, in principle, also lay the foundation for more efficient, well-defined and usable multiscale computing environments. We believe that multidisciplinary research to fill in the gaps is timely, highly relevant, and with substantial potential impact on many scientific disciplines.
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Affiliation(s)
- Alfons Hoekstra
- Computational Science, Institute for Informatics, Faculty of Science, University of Amsterdam, The Netherlands
- National Research University ITMO, St Petersburg, Russian Federation
| | | | - Peter Coveney
- Centre for Computational Science, University College London, London, UK
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Chopard B, Borgdorff J, Hoekstra AG. A framework for multi-scale modelling. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2014; 372:rsta.2013.0378. [PMID: 24982249 PMCID: PMC4084523 DOI: 10.1098/rsta.2013.0378] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
We review a methodology to design, implement and execute multi-scale and multi-science numerical simulations. We identify important ingredients of multi-scale modelling and give a precise definition of them. Our framework assumes that a multi-scale model can be formulated in terms of a collection of coupled single-scale submodels. With concepts such as the scale separation map, the generic submodel execution loop (SEL) and the coupling templates, one can define a multi-scale modelling language which is a bridge between the application design and the computer implementation. Our approach has been successfully applied to an increasing number of applications from different fields of science and technology.
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Affiliation(s)
- B Chopard
- Department of Computer Science, University of Geneva, Geneva, Switzerland
| | - Joris Borgdorff
- Department of Computational Science, University of Amsterdam, Amsterdam, The Netherlands
| | - A G Hoekstra
- Department of Computational Science, University of Amsterdam, Amsterdam, The Netherlands National Research University ITMO, Saint-Petersburg, Russia
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Tahir H, Bona-Casas C, Narracott AJ, Iqbal J, Gunn J, Lawford P, Hoekstra AG. Endothelial repair process and its relevance to longitudinal neointimal tissue patterns: comparing histology with in silico modelling. J R Soc Interface 2014; 11:20140022. [PMID: 24621816 DOI: 10.1098/rsif.2014.0022] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Abstract
Re-establishing a functional endothelium following endovascular treatment is an important factor in arresting neointimal proliferation. In this study, both histology (in vivo) and computational simulations (in silico) are used to evaluate neointimal growth patterns within coronary arteries along the axial direction of the stent. Comparison of the growth configurations in vivo and in silico was undertaken to identify candidate mechanisms for endothelial repair. Stent, lumen and neointimal areas were measured from histological sections obtained from eight right coronary stented porcine arteries. Two re-endothelialization scenarios (endothelial cell (EC) random seeding and EC growth from proximal and distal ends) were implemented in silico to evaluate their influence on the morphology of the simulated lesions. Subject to the assumptions made in the current simulations, comparison between in vivo and in silico results suggests that endothelial growth does not occur from the proximal and distal ends alone, but is more consistent with the assumption of a random seeding process. This may occur either from the patches of endothelium which survive following stent implantation or from attachment of circulating endothelial progenitor cells.
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Affiliation(s)
- Hannan Tahir
- Computational Science, Informatics Institute, University of Amsterdam, , Science Park 904, Amsterdam 1098 XH, The Netherlands
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