Hybrid modeling of tumor-induced angiogenesis

Hybrid modeling of tumor-induced angiogenesis.

When modeling of tumor-driven angiogenesis, a major source of analytical and computational complexity is the strong coupling between the kinetic parameters of the relevant stochastic branching-and-growth of the capillary network, and the family of interacting underlying fields. To reduce this complexity, we take advantage of the system intrinsic multiscale structure: we describe the stochastic ...

Othmer Mathematical modeling of tumor - induced angiogenesis

Mathematical modeling of tumor-induced angiogenesis.

Angiogenesis, the growth of a network of blood vessels, is a crucial component of solid tumor growth, linking the relatively harmless avascular and the potentially fatal vascular growth phases of the tumor. As a process, angiogenesis is a well-orchestrated sequence of events involving endothelial cell migration and proliferation; degradation of tissue; new capillary vessel formation; loop forma...

Multimodality Imaging of Tumor Angiogenesis: Perfusion Modeling for Tumor Angiogenesis

When a tracer, such as Gd-doped or iodinated extracellular contrast, is introduced into the blood stream of a patient its transport through the vascular system, heart and lungs and eventual excretion via the kidneys is a well-established process [1,2]. At the level of the imaging voxel (for example, in the centre of a breast tumor) we can only speculate as to the precise nature of the tracer ki...

Modeling Tumor Angiogenesis with Zebrafish