@article{b642ef369f244103ad2235e32767c887,
title = "Theoretical models for coronary vascular biomechanics: Progress & challenges",
abstract = "A key aim of the cardiac Physiome Project is to develop theoretical models to simulate the functional behaviour of the heart under physiological and pathophysiological conditions. Heart function is critically dependent on the delivery of an adequate blood supply to the myocardium via the coronary vasculature. Key to this critical function of the coronary vasculature is system dynamics that emerge via the interactions of the numerous constituent components at a range of spatial and temporal scales. Here, we focus on several components for which theoretical approaches can be applied, including vascular structure and mechanics, blood flow and mass transport, flow regulation, angiogenesis and vascular remodelling, and vascular cellular mechanics. For each component, we summarise the current state of the art in model development, and discuss areas requiring further research. We highlight the major challenges associated with integrating the component models to develop a computational tool that can ultimately be used to simulate the responses of the coronary vascular system to changing demands and to diseases and therapies.",
keywords = "Adaptation, Cellular mechanics, Haemodynamics, Integration, Mass transport, Mathematical and computational model, Mechanics, Multi-scale, Regulation, Vascular structure",
author = "Waters, {Sarah L.} and Jordi Alastruey and Beard, {Daniel A.} and Bovendeerd, {Peter H.M.} and Davies, {Peter F.} and Girija Jayaraman and Jensen, {Oliver E.} and Jack Lee and Parker, {Kim H.} and Popel, {Aleksander S.} and Secomb, {Timothy W.} and Maria Siebes and Sherwin, {Spencer J.} and Shipley, {Rebecca J.} and Smith, {Nicolas P.} and {van de Vosse}, {Frans N.}",
note = "Funding Information: This paper arose from discussion at the workshop on the Cardiac Physiome Project held at and funded by the Newton Institute for Mathematical Sciences at the University of Cambridge, UK in July 2009. SLW would like to thank the UK Engineering and Physical Sciences Research Council (EPSRC) for funding in the form of an Advanced Research Fellowship (EP/D070635/2). NPS would like to acknowledge support from the EPSRC (FP/F059361/1), the UK Biotechnology and Biological Sciences Research Council ( BB/F01080X/1 ) and the European Commission ( FP7-ICT-2007-224495 : euHeart). JA would like to thank the British Heart Foundation for funding in the form of an Intermediate Basic Science Research Fellowship (FS/09/030/27812). PFD gratefully acknowledges research grant support from the US National Institute of Health and the American Heart Association , MS would like to acknowledge support from the Netherlands Heart Foundation ( 2006B186 , 2006B226 ) and the European Commission (FP7-ICT-2007-224495: euHeart). We would like to thank E.S.Waters for compiling the comprehensive list of references.",
year = "2011",
month = jan,
doi = "10.1016/j.pbiomolbio.2010.10.001",
language = "English (US)",
volume = "104",
pages = "49--76",
journal = "Progress in Biophysics and Molecular Biology",
issn = "0079-6107",
publisher = "Elsevier Limited",
number = "1-3",
}