[HTML][HTML] Pattern formation mechanisms of self-organizing reaction-diffusion systems

AN Landge, BM Jordan, X Diego, P Müller - Developmental biology, 2020 - Elsevier
Embryonic development is a largely self-organizing process, in which the adult body plan
arises from a ball of cells with initially nearly equal potency. The reaction-diffusion theory first …

Self-organization principles of intracellular pattern formation

J Halatek, F Brauns, E Frey - … Transactions of the Royal …, 2018 - royalsocietypublishing.org
Dynamic patterning of specific proteins is essential for the spatio-temporal regulation of
many important intracellular processes in prokaryotes, eukaryotes and multicellular …

Rethinking pattern formation in reaction–diffusion systems

J Halatek, E Frey - Nature Physics, 2018 - nature.com
The present theoretical framework for the analysis of pattern formation in complex systems is
mostly limited to the vicinity of fixed (global) equilibria. Here we present a new theoretical …

Developmental clock and mechanism of de novo polarization of the mouse embryo

M Zhu, J Cornwall-Scoones, P Wang, CE Handford… - Science, 2020 - science.org
INTRODUCTION During preimplantation development, the establishment of apicobasal cell
polarity is key for the transition from totipotency to pluripotency, which induces cell …

Guiding self-organized pattern formation in cell polarity establishment

P Gross, KV Kumar, NW Goehring, JS Bois, C Hoege… - Nature Physics, 2019 - nature.com
Spontaneous pattern formation in Turing systems relies on feedback. But patterns in cells
and tissues seldom form spontaneously—instead they are controlled by regulatory …

Many roads to symmetry breaking: molecular mechanisms and theoretical models of yeast cell polarity

AB Goryachev, M Leda - Molecular biology of the cell, 2017 - Am Soc Cell Biol
Mathematical modeling has been instrumental in identifying common principles of cell
polarity across diverse systems. These principles include positive feedback loops that are …

Phase-space geometry of mass-conserving reaction-diffusion dynamics

F Brauns, J Halatek, E Frey - Physical Review X, 2020 - APS
Experimental studies of protein-pattern formation have stimulated new interest in the
dynamics of reaction-diffusion systems. However, a comprehensive theoretical …

A cell-size threshold limits cell polarity and asymmetric division potential

L Hubatsch, F Peglion, JD Reich, NTL Rodrigues… - Nature Physics, 2019 - nature.com
Reaction–diffusion networks underlie pattern formation in a range of biological contexts,
from morphogenesis of organisms to the polarization of individual cells. One requirement for …

Principles that govern competition or co-existence in Rho-GTPase driven polarization

JG Chiou, SA Ramirez, TC Elston… - PLoS computational …, 2018 - journals.plos.org
Rho-GTPases are master regulators of polarity establishment and cell morphology. Positive
feedback enables concentration of Rho-GTPases into clusters at the cell cortex, from where …

Cells use molecular working memory to navigate in changing chemoattractant fields

A Nandan, A Das, R Lott, A Koseska - Elife, 2022 - elifesciences.org
In order to migrate over large distances, cells within tissues and organisms rely on sensing
local gradient cues which are irregular, conflicting, and changing over time and space. The …