Cancer biology involves complex, dynamic interactions between cancer cells and their
tissue microenvironments. Single-cell effects are critical drivers of clinical progression …

Intratumor heterogeneity has been widely reported in human cancers, but our knowledge of
how this genetic diversity emerges over time remains limited. A central challenge in studying …

Adult gliomas are aggressive brain tumours associated with low patient survival rates and
limited life expectancy. The most important hallmark of this type of tumour is its invasive …

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 …

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 …

Cancer is a complex, multiscale process in which genetic mutations occurring at a
subcellular level manifest themselves as functional changes at the cellular and tissue scale …

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 …

We extend the diffuse interface model developed in Wise et al.(2008) to study nonlinear
tumor growth in 3-D. Extensions include the tracking of multiple viable cell species …

Digital twins employ mathematical and computational models to virtually represent a
physical object (eg, planes and human organs), predict the behavior of the object, and …

Agent-based modeling (ABM) is an in silico technique that is being used in a variety of
research areas such as in social sciences, economics and increasingly in biomedicine as an …