生物体系中的布朗运动、离子流、催化反应和异相成核
Brownian motion, ionic flux, catalytic reaction and heterogeneous nucleation in biological systems
摘要：
提出了一个描述初始均质生物系统中新结构产生的模型。本文的动机是打算在非平衡的情况下工作，将几种机制和过程组合在一起：表面上的催化反应，扩散，受激迁移和选择性非均相反应。早期胚胎形态发生的模型建立在两个基本假设上：（i）存在一个带电表面，它定义了生长结构的形状（形式）;（ii）从最初均匀的介质中选择形态发生素（离子或自由基）的机制。当系统的不同部分之间出现电势时，均匀性被打破，触发复杂的动态，驱动材料沉积物发展到空间的局部区域。存款的演变是由一个随机的形式主义，允许有关宏观的分析表达式。
英文摘要：
A model to describe the arising of new structures in an initial homogeneous biological system is proposed. The essay is motivated by the intention to work on a non-equilibrium situation grouping together several mechanisms and processes as: catalytic reactions on a surface, diffusion, stimulated migration and selective heterogeneous reaction. A model for morphogenesis in early embryos is developed on two basic assumptions; (i) the existence of an electrified surface that defines the shape (form) of the growing structure and (ii) a mechanism to select morphogens (ions or free radicals) from an initially homogeneous medium. The homogeneity is broke when an electric potential arise between different parcels of the system, triggering a complex dynamic that drive the development of material deposits into localized regions of the space. The evolution of the deposits is described by a stochastic formalism allowing for analytical expressions relating macroscopic.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
