The occurrence of prime numbers revisited
GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología, 2023 Based on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or ...
Ernesto Tapia Moore, José Tapia Yañez
doaj +3 more sources
Turing patterns in network-organized activator–inhibitor systems [PDF]
Nature Physics, 2010 14 pages, 6 figures, original submitted version; Nature Physics (2010)
Hiroya Nakao, Alexander S. Mikhailov
openaire +3 more sources
Formation of turing patterns in strongly magnetized electric discharges
Communications Physics, 2023 Pattern formation and self-organization in many biological and non-biological systems can be explained through Turing’s activator-inhibitor model. Here we show how this model can be employed to describe the formation of filamentary structures in a low ...
Mohamad Menati +4 more
doaj +1 more source
Modeling Regulation of Zinc Uptake via ZIP Transporters in Yeast and Plant Roots [PDF]
, 2012 In yeast (Saccharomyces cerevisiae) and plant roots (Arabidopsis thaliana) zinc enters the cells via influx transporters of the ZIP family. Since zinc is both essential for cell function and toxic at high concentrations, tight regulation is essential for
Chavarría-Krauser, Andrés +1 more
core +16 more sources
Advanced Chemical Computing Using Discrete Turing Patterns in Arrays of Coupled Cells
Frontiers in Chemistry, 2020 We examine dynamical switching among discrete Turing patterns that enable chemical computing performed by mass-coupled reaction cells arranged as arrays with various topological configurations: three coupled cells in a cyclic array, four coupled cells in
František Muzika +2 more
doaj +1 more source
Detection of active matriptase using a biotinylated chloromethyl ketone peptide. [PDF]
PLoS ONE, 2013 Matriptase is a member of the family of type II transmembrane serine proteases that is essential for development and maintenance of several epithelial tissues.
Sine Godiksen +8 more
doaj +1 more source
Stationary Multiple Spots for Reaction-Diffusion Systems [PDF]
, 2007 In this paper, we review analytical methods for a rigorous study of the existence and stability of stationary, multiple spots for reaction-diffusion systems.
Wei, J, Winter, M
core +3 more sources
A multiscale hybrid mathematical model of epidermal-dermal interactions during skin wound healing. [PDF]
, 2019 Following injury, skin activates a complex wound healing programme. While cellular and signalling mechanisms of wound repair have been extensively studied, the principles of epidermal-dermal interactions and their effects on wound healing outcomes are ...
Chen, Weitao +7 more
core +1 more source
Reaction diffusion processes on random and scale-free networks [PDF]
, 2004 We study the discrete Gierer-Meinhardt model of reaction-diffusion on three different types of networks: regular, random and scale-free. The model dynamics lead to the formation of stationary Turing patterns in the steady state in certain parameter ...
De Wit A. +4 more
core +2 more sources
Effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems [PDF]
, 1997 We study the effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems. For this purpose, the Gierer-Meinhardt model of pattern formation is considered. The cases we study are: (i)randomness in the underlying lattice structure,
A. Gierer +15 more
core +2 more sources