… three-dimensional mathematical model for the dynamics of vascular endothelial cells during
sprouting angiogenesis… model for simulating three-dimensional angiogenic morphogenesis. …

… The model shows how stochastic generation of vascular sprouts combined with a set of …
of a specialized three-dimensional vascular structure with a high degree of organization. …

… on these results, we are currently developing an assay for studying the migration,
proliferation, and differentiation of human endothelial and pericyte-like cells in three-dimensional …

… ), whereas highly stiff or dense matrices significantly limit sprout elongation in three-dimensional
environments (Shamloo & Heilshorn, 2010). At the same time, EC migration remodels …

… the sprouting angiogenesis. The model is a hybrid, which a lattice-based cellular Potts model
reproduces … Shirinifard et al. presented a three dimensional cell-based model to study on …

… They considered successive stages that included a simulation of three-dimensional O\(_2\) …
3D agent-based model is formulated to simulate the process of sprouting angiogenesis and …

… hybrid model of VEGF-induced angiogenesis, based on the theory of reinforced random
walks.The model … of loops by capillary sprouts are also included explicitly in our model. At each …

… This review aims to summarise the three-dimensional models available to study vascular …
to study sprouting from a native tissue, and to test the efficacy of pro- and anti-angiogenic …

… article in tumour angiogenesis modelling. In this study, they have presented both continuum
as well as discrete models for capillary sprout formation during tumour angiogenesis. Both …

… used in a continuous model by Santos-Oliveira et al. [20] to model sprouting angiogenesis
as a … This continuous model was more complete as the proliferation of the sprout stalk cells is …