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 …

Pathological fibrosis is the result of a failure in the wound healing process. The
comprehension and the related modeling of the different mechanisms that trigger fibrosis are …

Cell microenvironments in human body are always complex, dynamic, and asymmetric.
Light-controlled materials can mimic different physical and chemical environments non …

Recently we considered a stochastic discrete model which describes fronts of cells invading
a wound [E. Khain, LM Sander, and CM Schneider-Mizell, J. Stat. Phys. 128, 209 (2007)]. In …

Limited cell ingrowth is a major problem for tissue engineering and the clinical application of
porous biomaterials as bone substitutes. As a first step, migration and proliferation of an …

We study MCF-7 breast cancer cell movement in a transwell apparatus. Various
experimental conditions lead to a variety of monotone and nonmonotone responses which …

We consider emergent collective behavior of a multicellular biological system. Specifically,
we investigate the role of hypoxia (lack of oxygen) in migration of brain tumor cells. We …

Agent-based models (ABMs) are readily used to capture the stochasticity in tumour
evolution; however, these models are often challenging to validate with experimental …

Individual-based models describing the migration and proliferation of a population of cells
frequently restrict the cells to a predefined lattice. An implicit assumption of this type of lattice …

Random walk models based on an exclusion process with contact effects are often used to
represent collective migration where individual agents are affected by agent-to-agent …