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 …

Introduction: A defining hallmark of cancer is aberrant cell proliferation. Efforts to understand
the generative properties of cancer cells span all biological scales: from genetic deviations …

Many multicellular systems problems can only be understood by studying how cells move,
grow, divide, interact, and die. Tissue-scale dynamics emerge from systems of many …

Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

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 …

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 …

In this article, we present a new multiscale mathematical model for solid tumour growth
which couples an improved model of tumour invasion with a model of tumour-induced …

We develop a thermodynamically consistent mixture model for avascular solid tumor growth
which takes into account the effects of cell-to-cell adhesion, and taxis inducing chemical and …

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 …

The ability to invade tissue is one of the hallmarks of cancer. Cancer cells achieve this
through the secretion of matrix degrading enzymes, cell proliferation, loss of cell–cell …