Nonlinear concentration patterns and bands in autochemotactic suspensions

作     者：Enkeleida Lushi Raymond E. Goldstein Michael J. Shelley 

作者机构：Department of Mathematics New Jersey Institute of Technology Newark New Jersey 07102 USA Department of Applied Mathematics and Theoretical Physics University of Cambridge Cambridge CB3 0WA United Kingdom Center for Computational Biology Flatiron Institute Simons Foundation New York New York 10010 USA Courant Institute of Mathematical Sciences New York University New York New York 10012 USA 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2018年第98卷第5期

页      面：052411-052411页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

基　　金：New Jersey Institute of Technology Materials Research Science and Engineering Center, Harvard University, MRSEC Schlumberger Chair Fund Norsk Sykepleierforbund, NSF National Science Foundation, NSF, (DMR-1420073, 1463962, DMS-1463962, DMS-1620331, DMR-1420073) Engineering and Physical Sciences Research Council, EPSRC, (EP/M017982/1) 

主　　题：Cell aggregation Chemotaxis Collective behavior Fluid-particle interactions Locomotion Microfluidics Self-organization Swimming 

摘      要：In suspensions of microorganisms, pattern formation can arise from the interplay of chemotaxis and the fluid flows collectively generated by the organisms themselves. Here we investigate the resulting pattern formation in square and elongated domains in the context of two distinct models of locomotion in which the chemoattractant dynamics is fully coupled to the fluid flows and swimmer motion. Analyses for both models reveal an aggregative instability due to chemotaxis, independent of swimmer shape and type, and a hydrodynamic instability for “pusher swimmers. We discuss the similarities and differences between the models. Simulations reveal a critical length scale of the swimmer aggregates and this feature can be utilized to stabilize swimmer concentration patterns into quasi-one-dimensional bands by varying the domain size. These concentration bands transition to traveling pulses under an external chemoattractant gradient, as observed in experiments with chemotactic bacteria.