Mathematical modeling of tumor-immune cell interactions

GE Mahlbacher, KC Reihmer, HB Frieboes - Journal of Theoretical Biology, 2019 - Elsevier
The anti-tumor activity of the immune system is increasingly recognized as critical for the
mounting of a prolonged and effective response to cancer growth and invasion, and for …

Multi-scale modelling and simulation in systems biology

JO Dada, P Mendes - Integrative Biology, 2011 - academic.oup.com
The aim of systems biology is to describe and understand biology at a global scale where
biological functions are recognised as a result of complex mechanisms that happen at …

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 …

Chaste: an open source C++ library for computational physiology and biology

GR Mirams, CJ Arthurs, MO Bernabeu… - PLoS computational …, 2013 - journals.plos.org
Chaste—C ancer, H eart A nd S oft T issue E nvironment—is an open source C++ library for
the computational simulation of mathematical models developed for physiology and biology …

Comparing individual-based approaches to modelling the self-organization of multicellular tissues

JM Osborne, AG Fletcher, JM Pitt-Francis… - PLoS computational …, 2017 - journals.plos.org
The coordinated behaviour of populations of cells plays a central role in tissue growth and
renewal. Cells react to their microenvironment by modulating processes such as movement …

[HTML][HTML] Cell proliferation within small intestinal crypts is the principal driving force for cell migration on villi

A Parker, OJ Maclaren, AG Fletcher, D Muraro… - The FASEB …, 2017 - ncbi.nlm.nih.gov
The functional integrity of the intestinal epithelial barrier relies on tight coordination of cell
proliferation and migration, with failure to regulate these processes resulting in disease. It is …

Theory of hybrid dynamical systems and its applications to biological and medical systems

K Aihara, H Suzuki - … Transactions of the Royal Society A …, 2010 - royalsocietypublishing.org
In this introductory article, we survey the contents of this Theme Issue. This Theme Issue
deals with a fertile region of hybrid dynamical systems that are characterized by the …

Genetic variants in Alzheimer disease—molecular and brain network approaches

C Gaiteri, S Mostafavi, CJ Honey, PL De Jager… - Nature Reviews …, 2016 - nature.com
Genetic studies in late-onset Alzheimer disease (LOAD) are aimed at identifying core
disease mechanisms and providing potential biomarkers and drug candidates to improve …

Executable cancer models: successes and challenges

MA Clarke, J Fisher - Nature Reviews Cancer, 2020 - nature.com
Making decisions on how best to treat cancer patients requires the integration of different
data sets, including genomic profiles, tumour histopathology, radiological images, proteomic …

On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process

JA Flegg, SN Menon, PK Maini… - Frontiers in physiology, 2015 - frontiersin.org
Over the last 30 years, numerous research groups have attempted to provide mathematical
descriptions of the skin wound healing process. The development of theoretical models of …