Computational and Mathematical Modeling of Angiogenesis

Mathematical Modeling / Computational Mathematics

My research is focused on mathematical modeling in the interdisciplinary areas of materials science and crystal growth and on development of advanced computational methods for tracking material/fluid surfaces and interfaces. Primarily, I am interested in modeling formation of a micro(nano)structure arrays as a result of the morphological (shape) instabilities of a solid film surfaces, material ...

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...

Othmer Mathematical modeling of tumor - induced angiogenesis

Mathematical Modeling and Computational Methods for Electrostatic

OF THE DISSERTATION Mathematical Modeling and Computational Methods for Electrostatic Interactions with Application to Biological Molecules

Mathematical Modeling of Interleukin-35 Promoting Tumor Growth and Angiogenesis

Interleukin-35 (IL-35), a cytokine from the Interleukin-12 cytokine family, has been considered as an anti-inflammatory cytokine which promotes tumor progression and tumor immune evasion. It has also been demonstrated that IL-35 is secreted by regulatory T cells. Recent mouse experiments have shown that IL-35 produced by cancer cells promotes tumor growth via enhancing myeloid cell accumulation...