Implementing vertex dynamics models of cell populations in biology within a consistent computational framework

AG Fletcher, JM Osborne, PK Maini… - Progress in biophysics …, 2013 - Elsevier
The dynamic behaviour of epithelial cell sheets plays a central role during development,
growth, disease and wound healing. These processes occur as a result of cell adhesion …

Three-dimensional cardiac computational modelling: methods, features and applications

A Lopez-Perez, R Sebastian, JM Ferrero - Biomedical engineering online, 2015 - Springer
The combination of computational models and biophysical simulations can help to interpret
an array of experimental data and contribute to the understanding, diagnosis and treatment …

[KİTAP][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

Active vertex model for cell-resolution description of epithelial tissue mechanics

DL Barton, S Henkes, CJ Weijer… - PLoS computational …, 2017 - journals.plos.org
We introduce an Active Vertex Model (AVM) for cell-resolution studies of the mechanics of
confluent epithelial tissues consisting of tens of thousands of cells, with a level of detail …

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 …

Mechanics and remodelling of cell packings in epithelia

DB Staple, R Farhadifar, JC Röper, B Aigouy… - The European Physical …, 2010 - Springer
Epithelia are sheets of cells that are dynamically remodelled by cell division and cell death
during development. Here we describe the cell shapes and packings as networks of …

Mathematical modelling reveals cellular dynamics within tumour spheroids

JA Bull, F Mech, T Quaiser, SL Waters… - PLoS computational …, 2020 - journals.plos.org
Tumour spheroids are widely used as an in vitro assay for characterising the dynamics and
response to treatment of different cancer cell lines. Their popularity is largely due to the …

Mechanocellular models of epithelial morphogenesis

AG Fletcher, F Cooper… - … Transactions of the …, 2017 - royalsocietypublishing.org
Embryonic epithelia achieve complex morphogenetic movements, including in-plane
resha**, bending and folding, through the coordinated action and rearrangement of …