The regulation of vascular endothelial growth factor A (VEGF) is critical to
neovascularization in numerous tissues under physiological and pathological conditions …

Blood travels throughout the body in an extensive network of vessels–arteries, veins and
capillaries. This vascular network is not static, but instead dynamically remodels in response …

In this paper we present an overview of agent-based models that are used to simulate
mechanical and physiological phenomena in cells and tissues, and we discuss underlying …

Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …

Angiogenesis, the recruitment of new blood vessels, is a critical process for the growth,
expansion, and metastatic dissemination of developing tumors. Three types of cells make up …

Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis
and angiogenesis. The former term describes the formation of a capillary-like network from …

Bone fractures are one of the most commonly occurring injuries of the musculoskeletal
system. A highly complex physiological process, fracture healing has been studied …

We present comprehensive mathematical modeling of radiopharmaceutical spatiotemporal
distributions within vascularized solid tumors. The novelty of the presented model is at …

Fluid mechanics is involved in the growth, progression, metastasis, and therapy of cancer.
Blood vessels transport oxygen and nutrients to cancerous tissues, provide a route for …