Cantini Laura, Cianci Claudia, Fanelli Duccio, Massi Emma, Barletti Luigi, Asllani Malbor
Dipartimento di Matematica e Informatica "U. Dini", University of Florence, Viale Morgagni 67/A, 50134 , Florence, Italy.
J Math Biol. 2014 Dec;69(6-7):1585-608. doi: 10.1007/s00285-013-0743-x. Epub 2013 Dec 14.
The problem of pattern formation in a generic two species reaction-diffusion model is studied, under the hypothesis that only one species can diffuse. For such a system, the classical Turing instability cannot take place. At variance, by working in the generalized setting of a stochastic formulation to the inspected problem, spatially organized patterns can develop, seeded by finite size corrections. General conditions are given for the stochastic patterns to occur. The predictions of the theory are tested for a specific case study.
在仅一种物种能够扩散的假设下，研究了一般双物种反应扩散模型中的图案形成问题。对于这样一个系统，经典的图灵不稳定性不会发生。相反，通过在对所研究问题的随机公式化的广义设定下进行研究，由有限尺寸修正引发的空间组织图案能够发展形成。给出了随机图案出现的一般条件。针对一个具体的案例研究对该理论的预测进行了检验。
