Embryogenesis offers a real laboratory for pattern formation, buckling, and postbuckling
induced by growth of soft tissues. Each part of our body is structured in multiple adjacent …

Several mathematical formulations have analyzed the timedependent behavior of a tumor
mass. However, most of these propose simplifications that compromise the physical …

Cell migration is central to the development and maintenance of multicellular organisms.
Fundamental understanding of cell migration can, for example, direct novel therapeutic …

The ability of cancer cells to break out of tissue compartments and invade locally gives solid
tumours a defining deadly characteristic. One of the first steps of invasion is the remodelling …

Mathematical modeling and computational analysis are essential for understanding the
dynamics of the complex gene networks that control normal development and homeostasis …

Purpose: Pancreatic ductal adenocarcinoma (PDAC) is a heterogeneous disease with
variable presentations and natural histories of disease. We hypothesized that different …

Radiotherapy is a primary therapeutic modality widely utilized with curative intent.
Traditionally tumor response was hypothesized to be due to high levels of cell death …

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 …

Phase-field modeling is emerging as a promising tool for the treatment of problems with
interfaces. The classical description of interface problems requires the numerical solution of …

The therapeutic control of a solid tumour depends critically on the responses of the
individual cells that constitute the entire tumour mass. A particular cell's spatial location …