Computational and Mathematical Methods in Medicine · 2006 · 59 citations · 55 references
MedicineCancer BiologyOncologyCell AdhesionTumor MicroenvironmentTumor ProgressionCellular AutomataImmune System ModelingTumor Growth KineticsTumor InvasionTumor Microenvironment InteractionsTumor MorphologyCellular Automata SimulationCellular Automaton ModelingHybrid Cellular AutomataImmune Cell InteractionsModeling Tumor MicroenvironmentSpatial Immune ModelingTumor Growth ModelingTumor Microenvironment Modeling
In this paper, we carry out an examination of four mechanisms that can potentially lead to changing morphologies in a growing tumor: variations in nutrient consumption rates, cellular adhesion, excessive consumption of nutrients by tumor cells and immune cell interactions with the tumor. We present numerical simulations using a hybrid PDE‐cellular automata (CA) model demonstrating the effects of each mechanism before discussing hypotheses about the contribution of each mechanism to morphology change.
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Models for the Growth of a Solid Tumor by Diffusion
H. P. Greenspan · Studies in Applied Mathematics · 1972 · 599 citations
Medicine, Cancer Biology, Oncology +17
Alan S. Perelson, Gérard Weisbuch · Reviews of Modern Physics · 1997 · 598 citations
Life Sciences, Biology, Immunology +12