Mathematical modelling approaches have become increasingly abundant in cancer
research. The complexity of cancer is well suited to quantitative approaches as it provides …

Simulating cancer behavior across multiple biological scales in space and time, ie,
multiscale cancer modeling, is increasingly being recognized as a powerful tool to refine …

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 …

There have been many techniques developed in recent years to in silico model a variety of
cancer behaviors. Agent-based modeling is a specific discrete-based hybrid modeling …

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 …

The flow of interstitial fluid and the associated interstitial fluid pressure (IFP) in solid tumors
and surrounding host tissues have been identified as critical elements in cancer growth and …

We devise second-order accurate, unconditionally uniquely solvable and unconditionally
energy stable schemes for the nonlocal Cahn–Hilliard (nCH) and nonlocal Allen–Cahn …

In this paper, we develop a thermodynamically consistent four‐species model of tumor
growth on the basis of the continuum theory of mixtures. Unique to this model is the …

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 …

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