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arXiv 1310.7614physics.bio-phcond-mat.softphysics.flu-dyn
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自趋化性微游泳器悬浮液:建模、分析和模拟

Auto-chemotactic micro-swimmer suspensions: modeling, analysis and simulations

Enkeleida Lushi, Raymond E. Goldstein, Michael J. Shelley

摘要:

微生物可以优先沿着化学引诱物的梯度定向和移动(即,chemotax),而许多微生物的菌落可以响应于它们自身产生的化学引诱剂而共同经历复杂的动力学。对于殖民地或群体的微型游泳者,我们调查如何“自动趋化”的反应,应该导致游泳者聚集的影响,由集体游泳所产生的非平凡的流体流动。为此,我们考虑趋化性模型的基础上的流体动力学理论的能动悬浮液,完全耦合到化学引诱剂的生产,运输和扩散。各向同性有序悬浮液的线性分析揭示了由于独立于游泳者类型发生的趋化性引起的聚集不稳定性,以及当游泳者是“推动者”时的流体动力学不稳定性。然而,非线性模拟表明,流体动力学相互作用可以显着修改的chemotactically驱动的聚集动力学悬浮液中的“推”或“拉”。这些耦合相互作用在殖民地中产生的动力学的不同状态进行了讨论。

英文摘要:

Microorganisms can preferentially orient and move along gradients of a chemo-attractant (i.e., chemotax) while colonies of many microorganisms can collectively undergo complex dynamics in response to chemo-attractants that they themselves produce. For colonies or groups of micro-swimmers we investigate how an "auto-chemotactic" response that should lead to swimmer aggregation is affected by the non-trivial fluid flows that are generated by collective swimming. For this, we consider chemotaxis models based upon a hydrodynamic theory of motile suspensions that are fully coupled to chemo-attractant production, transport, and diffusion. Linear analysis of isotropically ordered suspensions reveals both an aggregative instability due to chemotaxis that occurs independently of swimmer type, and a hydrodynamic instability when the swimmers are "pushers". Nonlinear simulations show nonetheless that hydrodynamic interactions can significantly modify the chemotactically-driven aggregation dynamics in suspensions of "pushers" or "pullers". Different states of the dynamics resulting from these coupled interactions in the colony are discussed.

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