Three‐dimensional cell culture models, such as spheroids, can be used in the process of the
development of new anticancer agents because they are able to closely mimic the main …

Purpose: To give a state-of-the-art overview on the promise of three-dimensional (3-D)
culture systems for anticancer drug development, with particular emphasis on multicellular …

Creating in vitro models of diseases of the pancreatic ductal compartment requires a
comprehensive understanding of the developmental trajectories of pancreas-specific cell …

In normal tissues, the processes of growth, remodeling, and morphogenesis are tightly
regulated by the stress field; conversely, stress may be generated by these processes. We …

Hypoxia occurs when oxygen levels within a tissue drop below normal physiological levels.
In tumours, hypoxia is associated with poor prognosis, increased likelihood of metastasis …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

A system of nonlinear partial differential equations is proposed as a model for the growth of
an avascular-tumour spheroid. The model assumes a continuum of cells in two states, living …

To what extent the growth dynamics of tumors is controlled by nutrients, biomechanical
forces and other factors at different stages and in different environments is still largely …

We have developed a novel and versatile three-dimensional cellular automaton model of
brain tumor growth. We show that macroscopic tumor behavior can be realistically modeled …

The desire to understand tumor complexity has given rise to mathematical models to
describe the tumor microenvironment. We present a new mathematical model for avascular …