A review of cell-based computational modeling in cancer biology

J Metzcar, Y Wang, R Heiland… - JCO clinical cancer …, 2019 - ascopubs.org
Cancer biology involves complex, dynamic interactions between cancer cells and their
tissue microenvironments. Single-cell effects are critical drivers of clinical progression …

Multiscale cancer modeling

TS Deisboeck, Z Wang, P Macklin… - Annual review of …, 2011 - annualreviews.org
Simulating cancer behavior across multiple biological scales in space and time, ie,
multiscale cancer modeling, is increasingly being recognized as a powerful tool to refine …

PhysiCell: An open source physics-based cell simulator for 3-D multicellular systems

A Ghaffarizadeh, R Heiland, SH Friedman… - PLoS computational …, 2018 - journals.plos.org
Many multicellular systems problems can only be understood by studying how cells move,
grow, divide, interact, and die. Tissue-scale dynamics emerge from systems of many …

Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results

P Van Liedekerke, MM Palm, N Jagiella… - Computational particle …, 2015 - Springer
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 …

Mathematical models of cancer: when to predict novel therapies, and when not to

R Brady, H Enderling - Bulletin of mathematical biology, 2019 - Springer
The number of publications on mathematical modeling of cancer is growing at an
exponential rate, according to PubMed records, provided by the US National Library of …

Dissecting cancer through mathematics: from the cell to the animal model

HM Byrne - Nature Reviews Cancer, 2010 - nature.com
This Timeline article charts progress in mathematical modelling of cancer over the past 50
years, highlighting the different theoretical approaches that have been used to dissect the …

Simulating cancer growth with multiscale agent-based modeling

Z Wang, JD Butner, R Kerketta, V Cristini… - Seminars in cancer …, 2015 - Elsevier
There have been many techniques developed in recent years to in silico model a variety of
cancer behaviors. Agent-based modeling is a specific discrete-based hybrid modeling …

Hybrid models of tumor growth

KA Rejniak, ARA Anderson - Wiley Interdisciplinary Reviews …, 2011 - Wiley Online Library
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 …

[图书][B] Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach

V Cristini, J Lowengrub - 2010 - books.google.com
Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …

Mathematical modeling of tumor growth and treatment

H Enderling, M AJ Chaplain - Current pharmaceutical design, 2014 - ingentaconnect.com
Using mathematical models to simulate dynamic biological processes has a long history.
Over the past couple of decades or so, quantitative approaches have also made their way …