Tumor growth has long been a target of investigation within the context of mathematical and
computer modeling. The objective of this study is to propose and analyze a two-dimensional …

The effects of therapy on avascular cancer development based on a stochastic cellular
automata model are considered. Making the model more compatible with the biology of …

Tumor growth is a complex process that requires mathematical modeling approaches for
studying real-life cancer behavior. The use of cellular automata (CA) to represent tumor …

In this paper, by using cellular automata formalism, a two-dimensional stochastic agent-
based model for avascular tumor growth is presented. The model is based on biological …

Most of the existing mathematical models for tumour growth and tumour-induced
angiogenesis neglect blood flow. This is an important factor on which both nutrient and …

Pattern formation in multicellular spheroids is addressed with a hybrid lattice-gas cellular
automaton model. Multicellular spheroids serve as experimental model system for the study …

Mathematical and computational models are of great help to study and predict phenomena
associated with cancer growth and development. These models may lead to introduce new …

The structure and function of biological systems are considered to be closely related. The
present study addresses the question of how histological patterns of tumours are related to …

Hypoxia and the pH level of the tumor microenvironment have a great impact on the
treatment of tumors. Here, the tumor growth is controlled by regulating the oxygen …

Mathematical Oncology has emerged as a research field that applies either continuous or
discrete models to mathematically describe cancer-related phenomena. Such methods are …