Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist
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 …
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 …
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 …
interactions between genetic regulation and physical, generic mechanisms at multiple …
Hierarchical patterning modes orchestrate hair follicle morphogenesis
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 …
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 …
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 …
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
Many biological patterns, from population densities to animal coat markings, can be thought
of as heterogeneous spatiotemporal distributions of mobile agents. Many mathematical …
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 …
into shape and pattern—by capturing cell behavior in simple, purely descriptive models. Cell …
Computer simulations of cell sorting due to differential adhesion
The actions of cell adhesion molecules, in particular, cadherins during embryonic
development and morphogenesis more generally, regulate many aspects of cellular …
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 …
this paper, we study the role of mesenchyme-ectoderm interaction in the growing chick limb …