Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Ekaterinburg 620000, Russian Federation.
Philos Trans A Math Phys Eng Sci. 2020 May 15;378(2171):20200002. doi: 10.1098/rsta.2020.0002. Epub 2020 Apr 13.
The issue is devoted to theoretical, computer and experimental studies of internal heterogeneous patterns, their morphology and evolution in various soft physical systems-organic and inorganic materials (e.g. alloys, polymers, cell cultures, biological tissues as well as metastable and composite materials). The importance of these studies is determined by the significant role of internal structures on the macroscopic properties and behaviour of natural and manufactured tissues and materials. Modern methods of computer modelling, statistical physics, heat and mass transfer, statistical hydrodynamics, nonlinear dynamics and experimental methods are presented and discussed. Non-equilibrium patterns which appear during macroscopic transport and hydrodynamic flow, chemical reactions, external physical fields (magnetic, electrical, thermal and hydrodynamic) and the impact of external noise on pattern evolution are the foci of this issue. Special attention is paid to pattern formation in biological systems (such as drug transport, hydrodynamic patterns in blood and pattern dynamics in protein and insulin crystals) and to the development of a scientific background for progressive methods of cancer and insult therapy (magnetic hyperthermia for cancer therapy; magnetically induced drug delivery in thrombosed blood vessels). The present issue includes works on pattern growth and their evolution in systems with complex internal structures, including stochastic dynamics, and the influence of internal structures on the external static, dynamic magnetic and mechanical properties of these systems. This article is part of the theme issue 'Patterns in soft and biological matters'.
本期专刊致力于研究各种软物质物理体系（如合金、聚合物、细胞培养物、生物组织以及亚稳和复合材料等）中内部非均匀模式、形态及其演化的理论、计算机模拟和实验研究。这些研究之所以重要，是因为内部结构对天然和人造组织与材料的宏观性质和行为具有重要影响。文中介绍和讨论了现代计算机建模方法、统计物理、热质传递、统计流体力学、非线性动力学以及实验方法。本期专刊的重点是研究在宏观输运和流体流动、化学反应、外部物理场（磁、电、热和流体）以及外部噪声对模式演化的影响下出现的非平衡模式。特别关注生物系统中的模式形成（如药物输运、血液中的流体动力学模式和蛋白质与胰岛素晶体中的模式动力学），并为癌症和损伤治疗的先进方法（癌症治疗的磁热疗；血栓血管中的磁导向药物输送）开发科学背景。本期专刊包括有关具有复杂内部结构的系统中模式生长及其演化的研究，包括随机动力学，以及内部结构对这些系统外部静态、动态磁和机械性能的影响。本文是“软物质和生物物质中的模式”专题的一部分。
