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首页> 外文期刊>American Journal of Bioinformatics Research >Nonlinear Dynamical Systems as Models of Development of Inorganic Cells (iCHELLs) & their Simple Assemblies
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Nonlinear Dynamical Systems as Models of Development of Inorganic Cells (iCHELLs) & their Simple Assemblies

机译：非线性动力学系统作为无机细胞（iCHELL）及其简单装配的发展模型

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The rapid development of synthetic biology and biomimetics in recent years leads to the creation of prototypes of inorganic artificial cells with membrane-like properties. In this regard there is an obvious need in the development of a universal formalized mathematical description of morphology, dynamics and cooperative behavior, which results in the formation of supracellular assemblies, applicable to both organic and inorganic cells. For this purpose we propose to use invariant sets of nonlinear dynamical systems, which in some variations are isomorphic to biological cells or can be considered as a good morphological metaphor of their morphogenesis and assotiation. This paper compares graphical visualization of invariant sets of nonlinear dynamical systems with the results of experiments on the chemical synthesis of biomimetic structures. A number of maps is considered: Poincare map, Henon map, Chirikov and Gumovski-Mirr maps, systems by Kepler, Volterra, Dyufing and Henon-Heiles. The possibility of approximation of the experimentally observed structures by those mathematical models is shown. The given results of computer simulations are applicable to inorganic cells (iCHELLs), obtained recently in the University of Glasgow, but the proposed method was originally developed for functionally identical inorganic cells, obtained by the author according to the Russian technique, proposed in the early 2000s. The micrographs of such inorganic cells and their assemblies are given below in comparison with the theoretical model.
机译：近年来，合成生物学和仿生技术的快速发展导致了具有膜状特性的无机人工细胞原型的产生。在这方面，显然需要开发一种通用的形式化，形态学，动力学和协同行为的数学描述，以形成适用于有机和无机细胞的超细胞组装体。为此，我们建议使用非线性动力学系统的不变集，在某些变体中，该动力学集对生物细胞是同构的，或者可以视为它们的形态发生和关联的良好形态隐喻。本文将非线性动力学系统不变集的图形可视化与仿生结构化学合成的实验结果进行了比较。考虑了许多地图：庞加莱地图，汉农地图，Chirikov和Gumovski-Mirr地图，开普勒，沃尔泰拉，戴芬和汉农-海尔斯的系统。这些数学模型显示了实验观察到的结构近似的可能性。给出的计算机模拟结果适用于最近在格拉斯哥大学获得的无机细胞（iCHELL），但该方法最初是针对功能相同的无机细胞开发的，该方法是作者根据俄罗斯技术在早期提出的。 2000年代。与理论模型相比，下面给出了这种无机电池及其组装体的显微照片。

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