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 …
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 …
INTRODUCTION During preimplantation development, the establishment of apicobasal cell polarity is key for the transition from totipotency to pluripotency, which induces cell …
Spontaneous pattern formation in Turing systems relies on feedback. But patterns in cells and tissues seldom form spontaneously—instead they are controlled by regulatory …
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 …
Experimental studies of protein-pattern formation have stimulated new interest in the dynamics of reaction-diffusion systems. However, a comprehensive theoretical …
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 …
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 …
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 …