Encyclopedia of Applied and Computational Mathematics 2015
DOI: 10.1007/978-3-540-70529-1_162
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Angiogenesis, Computational Modeling Perspective

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“…The limitations of our model affect the number of sprouting angiogenesis processes that we can reproduce and the extent to which we can simulate them. Some of the processes that are beyond the scope of our model have been studied using other previously published models (Peirce, 2008 ; Qutub et al, 2009 ; Scianna et al, 2013 ; Logsdon et al, 2014 ; Heck et al, 2015 ; Qutub and Popel, 2015 ) while other processes offer opportunities for further research as specified in the following paragraphs.…”
Section: Discussionmentioning
confidence: 99%
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“…The limitations of our model affect the number of sprouting angiogenesis processes that we can reproduce and the extent to which we can simulate them. Some of the processes that are beyond the scope of our model have been studied using other previously published models (Peirce, 2008 ; Qutub et al, 2009 ; Scianna et al, 2013 ; Logsdon et al, 2014 ; Heck et al, 2015 ; Qutub and Popel, 2015 ) while other processes offer opportunities for further research as specified in the following paragraphs.…”
Section: Discussionmentioning
confidence: 99%
“…Due to the enormous biological and medical importance of angiogenesis, many computational and mathematical models have been proposed to explore the molecular mechanism involved in angiogenesis control (Peirce, 2008 ; Qutub et al, 2009 ; Scianna et al, 2013 ; Logsdon et al, 2014 ; Heck et al, 2015 ; Qutub and Popel, 2015 ). Some of the relevant previous models are the following: (a) A computational model exploring the relationship between hemodynamics and angiogenesis in 2D (Gödde and Kurz, 2001 ).…”
Section: Introductionmentioning
confidence: 99%