Vertex models of epithelial morphogenesis

AG Fletcher, M Osterfield, RE Baker, SY Shvartsman - Biophysical journal, 2014 - cell.com
The dynamic behavior of epithelial cell sheets plays a central role during numerous
developmental processes. Genetic and imaging studies of epithelial morphogenesis in a …

[HTML][HTML] How computational models can help unlock biological systems

GW Brodland - Seminars in cell & developmental biology, 2015 - Elsevier
With computation models playing an ever increasing role in the advancement of science, it is
important that researchers understand what it means to model something; recognize the …

[图书][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 …

Nonlinear modelling of cancer: bridging the gap between cells and tumours

JS Lowengrub, HB Frieboes, F Jin, YL Chuang, X Li… - …, 2009 - iopscience.iop.org
Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

Modeling the effect of deregulated proliferation and apoptosis on the growth dynamics of epithelial cell populations in vitro

J Galle, M Loeffler, D Drasdo - Biophysical journal, 2005 - cell.com
We present a three-dimensional individual cell-based, biophysical model to study the effect
of normal and malfunctioning growth regulation and control on the spatial-temporal …

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 …

[HTML][HTML] Control of the mitotic cleavage plane by local epithelial topology

WT Gibson, JH Veldhuis, B Rubinstein, HN Cartwright… - Cell, 2011 - cell.com
For nearly 150 years, it has been recognized that cell shape strongly influences the
orientation of the mitotic cleavage plane (eg, Hofmeister, 1863). However, we still …

Modeling growth in biological materials

GW Jones, SJ Chapman - Siam review, 2012 - SIAM
The biomechanical modeling of growing tissues has recently become an area of intense
interest. In particular, the interplay between growth patterns and mechanical stress is of …

Generalized voronoi tessellation as a model of two-dimensional cell tissue dynamics

M Bock, AK Tyagi, JU Kreft, W Alt - Bulletin of mathematical biology, 2010 - Springer
Voronoi tessellations have been used to model the geometric arrangement of cells in
morphogenetic or cancerous tissues, however, so far only with flat hyper-surfaces as cell …

Cell topology, geometry, and morphogenesis in proliferating epithelia

WT Gibson, MC Gibson - Current topics in developmental biology, 2009 - Elsevier
Epithelia are sheets of tightly adherent cells that line both internal and external surfaces in a
vast array of metazoans. During development, an intrinsic consequence of coupling tight …