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 …

A main goal of mathematical and computational oncology is to develop quantitative tools to
determine the most effective therapies for each individual patient. This involves predicting …

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 …

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 …

Many different single-cell-based models have been developed and applied to biological and
medical problems. Computational approaches used are Monte-Carlo simulations, energy …

Ductal carcinoma in situ (DCIS)—a significant precursor to invasive breast cancer—is
typically diagnosed as microcalcifications in mammograms. However, the effective use of …

Traditionally, the monolayer (two-dimensional) cell cultures are used for initial evaluation of
the effectiveness of anticancer drugs. In particular, these experiments provide the IC _ 50 IC …

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

Solid tumor dissemination from the primary site to the sites of metastasis involves tumor cell
transport through the blood or lymph circulation systems. Once the tumor cells enter the …

A biomechanical approach in modelling the growth and division of a single fully deformable
cell by using an immersed boundary method with distributed sources is presented, and its …