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 …

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 …

Histopathologic knowledge that extensive heterogeneity exists between and within tumors
has been confirmed and deepened recently by molecular studies. However, the impact of …

The multiscale complexity of cancer as a disease necessitates a corresponding multiscale
modelling approach to produce truly predictive mathematical models capable of improving …

Mathematical modeling has become a valuable tool that strives to complement conventional
biomedical research modalities in order to predict experimental outcome, generate new …

Morphogenetic modelling and simulation help to understand the processes by which the
form and shapes of organs (organogenesis) and organisms (embryogenesis) emerge. This …

Tumorigenesis is a complex, multistep process that depends on numerous alterations within
the cell and contribution from the surrounding stroma. The ability to model macroscopic …

Osteosarcoma is the most common primary bone tumor in pediatric and young adult
patients. Successful treatment of osteosarcomas requires a combination of surgical …

A multi-layer agent-based model (ABM) of biomaterial scaffold vascularization is extended to
consider the effects of scaffold degradation kinetics on blood vessel formation. A …

We present a mechanistic hybrid continuum-discrete model to simulate the dynamics of
epithelial cell colonies. Collective cell dynamics are modeled using continuum equations …