… limb by manipulating pro-angiogenic transcription … model by showing that inhibition of cell
necrosis in HLI (as a top-ranked therapeutic intervention predicted by our computational model…

… These cell- and multi-scale models were extensively … the discoveries of major pro-angiogenic
cytokines, has emerged as … -based, multi-pathway computational model that describes the …

… up-regulates pro-angiogenic factors, including the vascular … Thereby, our multi-scale model
integrates the extracellular … the cell-based stochastic model represents the cell dynamics. …

… Most of these have used hybrid approaches because they can represent diffusion of
oxygen and pro-angiogenic molecules using continuum modeling (eg, with reaction-diffusion …

… During the last decades, mathematical and computational modeling approaches have been
… In this manuscript, we review computational models of angiogenesis with a focus on models …

… The computational models discussed in this review will … Thus, computational modeling
platforms provide a powerful tool to … computational modeling approaches for the study of cancer. …

… The vascular system is a multi-scale network of blood … The availability of in vitro
systems and computational models has … endothelial growth factor (VEGF), a major pro-angiogenic …

… Agent-based Modeling Agent-based modeling is a computational modeling methodology
that is rulebased, discrete-event based, and discrete-time based. It allows incorporation of …

… In vivo, ECs lining stable blood vessels remain quiescent due to a balance of pro-angiogenic
and anti-angiogenic factors [89, 90]. Vessel growth (pathological or otherwise) or …

… Here, we developed a hybrid two-dimensional computational model that integrates
spatiotemporally different components of the tumor system to investigate both angiogenesis and …