We report numerical results from a 2D cellular automaton (CA) model describing the
dynamics of the in vitro cultivated multicellular spheroid obtained from EMT6/Ro (mammary …

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 …

Experimental evidence suggests that a tumor's environment may be critical to designing
successful therapeutic protocols: Modeling interactions between a tumor and its …

Some tumours are known to exhibit an extracellular pH that is more acidic than the
intracellular, creating a 'reversed pH gradient'across the cell membrane and this has been …

The therapeutic control of a solid tumour depends critically on the responses of the
individual cells that constitute the entire tumour mass. A particular cell's spatial location …

There have been many efforts to explain and simulate tumor growth with mathematical and
computational models. However, none have systematically examined the behaviors of tumor …

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 tumour microenvironment is known to play an important role in determining the
sequence of acquired phenotypic traits that characterise cancer evolution. A more precise …

Tumor growth from a single transformed cancer cell up to a clinically apparent mass spans
many spatial and temporal orders of magnitude. Implementation of cellular automata …

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