Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

RM Crossley, S Johnson, E Tsingos, Z Bell… - Frontiers in cell and …, 2024 - frontiersin.org
The extracellular matrix (ECM) is a highly complex structure through which biochemical and
mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a …

Mathematically guided approaches to distinguish models of periodic patterning

TW Hiscock, SG Megason - Development, 2015 - journals.biologists.com
How periodic patterns are generated is an open question. A number of mechanisms have
been proposed–most famously, Turing's reaction-diffusion model. However, many …

A cell-centered approach to developmental biology

RMH Merks, JA Glazier - Physica A: Statistical Mechanics and its …, 2005 - Elsevier
Explaining embryonic development of multicellular organisms requires insight into complex
interactions between genetic regulation and physical, generic mechanisms at multiple …

Hierarchical patterning modes orchestrate hair follicle morphogenesis

JD Glover, KL Wells, F Matthäus, KJ Painter, W Ho… - PLoS …, 2017 - journals.plos.org
Two theories address the origin of repeating patterns, such as hair follicles, limb digits, and
intestinal villi, during development. The Turing reaction–diffusion system posits that …

On multiscale approaches to three-dimensional modelling of morphogenesis

R Chaturvedi, C Huang… - Journal of the …, 2005 - royalsocietypublishing.org
In this paper we present the foundation of a unified, object-oriented, three-dimensional
biomodelling environment, which allows us to integrate multiple submodels at scales from …

Magnetization to morphogenesis: a brief history of the Glazier-Graner-Hogeweg model

JA Glazier, A Balter, NJ Popławski - Single-cell-based models in biology …, 2007 - Springer
This chapter discusses the history and development of what we propose to rename the
Glazier-Graner-Hogeweg model (GGH model), starting with its ancestors, simple models of …

Stochastic reaction and diffusion on growing domains: understanding the breakdown of robust pattern formation

TE Woolley, RE Baker, EA Gaffney, PK Maini - Physical Review E—Statistical …, 2011 - APS
Many biological patterns, from population densities to animal coat markings, can be thought
of as heterogeneous spatiotemporal distributions of mobile agents. Many mathematical …

Modeling morphogenesis in silico and in vitro: towards quantitative, predictive, cell-based modeling

RMH Merks, P Koolwijk - Mathematical Modelling of Natural …, 2009 - mmnp-journal.org
Cell-based, mathematical models help make sense of morphogenesis—ie cells organizing
into shape and pattern—by capturing cell behavior in simple, purely descriptive models. Cell …

Computer simulations of cell sorting due to differential adhesion

Y Zhang, GL Thomas, M Swat, A Shirinifard, JA Glazier - PloS one, 2011 - journals.plos.org
The actions of cell adhesion molecules, in particular, cadherins during embryonic
development and morphogenesis more generally, regulate many aspects of cellular …

Adhesion between cells, diffusion of growth factors, and elasticity of the AER produce the paddle shape of the chick limb

NJ Popławski, M Swat, JS Gens, JA Glazier - Physica A: Statistical …, 2007 - Elsevier
A central question in developmental biology is how cells interact to organize into tissues? In
this paper, we study the role of mesenchyme-ectoderm interaction in the growing chick limb …