- Editors' Suggestion
- Access by Xinjiang University
Deflection of phototactic microswimmers through obstacle arrays
Phys. Rev. Fluids 5, 093302 – Published 18 September, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.093302
Abstract
We study the effect of inhomogeneous environments on the swimming direction of the microalgae Chlamydomonas reinhardtii (CR) in the presence of a light stimulus. Positive or negative phototaxis describe the ability of microorganisms to bias their swimming toward or away from a light source. Here we consider microswimmers with negative phototaxis in a microfluidic device with a microfabricated square lattice of pillars as obstacles. We measured a mean deflection of microswimmers that shows an interesting nonlinear dependence on the direction of the guiding light beam with respect to the symmetry axes of the pillar lattice. By simulating a model swimmer in a pillar lattice and analyzing its scattering behavior, we identified the width of the reorientation distribution of swimmers to be also crucial for the nonlinear behavior of the swimmer deflection. On the basis of these results we suggest in addition an analytical model for microswimmers, where the pillar lattice is replaced by an anisotropic scattering medium, that depends only on a scattering rate and the width of the reorientation distribution of swimmers. This flexible and handy model fits the experimental results as well. The presented analysis of the deflection of light guided swimmers through pillar lattice may be used for separating swimmers having different reorientation distributions.
Physics Subject Headings (PhySH)
Article Text
References (50)
- Y. H. An and R. J. Friedman, Concise review of mechanisms of bacterial adhesion to biomaterial surfaces, J. Biomed. Mater. Res. 43, 338 (1998).
- J. W. Costerton, P. S. Stewart, and E. P. Greenberg, Bacterial biofilms: A common cause of persistent infections, Science 284, 1318 (1999).
- S. Lecuyer, R. Stocker, and R. Rusconi, Focus on the physics of biofilms, New J. Phys. 17, 030401 (2015).
- H. P. Chu and X.-Y. Li, Membrane fouling in a membrane bioreactor (mbr): Sludge cake formation and fouling characteristics, Biotechnol. Bioeng. 90, 323 (2005).
- A. Marty, C. Roques, C. Causserand, and P. Bacchin, Formation of bacterial streamers during filtration in microfluidic systems, Biofouling 28, 551 (2012).
- R. Rusconi, S. Lecuyer, N. Autrusson, L. Guglielmini, and H. A. Stone, Secondary flow as a mechanism for the formation of biofilm streamers, Biophys. J. 100, 1392 (2011).
- A. Creppy, E. Clément, C. Douarche, M. V. D'Angelo, and H. Auradou, Effect of motility on the transport of bacteria populations through a porous medium, Phys. Rev. Fluids 4, 013102 (2019).
- G. Volpe, I. Buttinoni, D. Vogt, H.-J. Kümmerer, and C. Bechinger, Microswimmers in patterned environments, Soft Matter 7, 8810 (2011).
- O. Chepizhko and T. Franosch, Ideal circle microswimmers in crowded media, Soft Matter 15, 452 (2019).
- C. Jin, J. Vachier, S. Bandyopadhyay, T. Macharashvili, and C. C. Maass, Fine balance of chemotactic and hydrodynamic torques: When microswimmers orbit a pillar just once, Phys. Rev. E 100, 040601(R) (2019).
- D. Nishiguchi, I. S. Aranson, A. Snezhko, and A. Sokolov, Engineering bacterial vortex lattice via direct laser lithography, Nat. Commun. 9, 1 (2018).
- L. R. Huang, E. C. Cox, R. H. Austin, and J. C. Sturm, Continuous particle separation through deterministic lateral displacement, Science 304, 987 (2004).
- J. Bammert and W. Zimmermann, Dumbbell transport and deflection in a spatially periodic potential, Eur. Phys. J. E 28, 331 (2009).
- J. McGarth, M. Jimenez, and H. Bridle, Deterministic lateral displacement for particle separation: A review, Lab Chip 14, 4139 (2014).
- X. Garcia, S. Rafaï, and P. Peyla, Light Control of the Flow of Phototactic Microswimmer Suspensions, Phys. Rev. Lett. 110, 138106 (2013).
- S. Rafai, L. Jibuti, and P. Peyla, Effective Viscosity of Microswimmer Suspensions, Phys. Rev. Lett. 104, 098102 (2010).
- L. Jibuti, L. Qi, C. Misbah, W. Zimmermann, S. Rafai, and P. Peyla, Self-focusing and jet instability of a microswimmer suspension, Phys. Rev. E 90, 063019 (2014).
- E. Lauga and F. Nadal, Clustering instability of focused swimmers, Europhys. Lett. 116, 64004 (2017).
- O. Chepizhko and F. Peruani, Diffusion, Subdiffusion, and Trapping of Active Particles in Heterogeneous Media, Phys. Rev. Lett. 111, 160604 (2013).
- C. Bechinger, R. Di Leonardo, H. Löwen, C. Reichhardt, G. Volpe, and G. Volpe, Active particles in complex and crowded environments, Rev. Mod. Phys. 88, 045006 (2016).
- A. Chamolly, T. Ishikawa, and E. Lauga, Active particles in periodic lattices, New J. Phys. 19, 115001 (2017).
- T. Bertrand, Y. Zhao, O. Bénichou, J. Tailleur, and R. Voituriez, Optimized Diffusion of Run-And-Tumble Particles in Crowded Environments, Phys. Rev. Lett. 120, 198103 (2018).
- A. Morin, D. L. Cardozo, V. Chikkadi, and D. Bartolo, Diffusion, subdiffusion, and localization of active colloids in random post lattices, Phys. Rev. E 96, 042611 (2017).
- M. Zeitz, K. Wolff, and H. Stark, Active brownian particles moving in a random lorentz gas, Euro. Phys. J. E 40, 23 (2017).
- R. Alonso-Matilla, B. Chakrabarti, and D. Saintillan, Transport and dispersion of active particles in periodic porous media, Phys. Rev. Fluids 4, 043101 (2019).
- E. H. Harris, The Chlamydomonas Sourcebook: Introduction to Chlamydomonas and Its Laboratory Use (Academic Press, San Diego, CA, 2009), Vol. 1.
- L. Jibuti, W. Zimmermann, S. Rafaï, and P. Peyla, Effective viscosity of a suspension of flagellar-beating microswimmers: Three-dimensional modelling, Phys. Rev. E 96, 052610 (2017).
- M. Polin, I. Tuval, K. Drescher, J. P. Gollub, and R. E. Goldstein, Chlamydomonas swims with two “gears” in a eukaryotic version of run-and-tumble locomotion, Science 325, 487 (2009).
- M. Garcia, S. Berti, P. Peyla, and S. Rafaï, Random walk of a swimmer in a low-reynolds-number medium, Phys. Rev. E 83, 035301(R) (2011).
- D. Qin, Y. Xia, and G. M. Whitesides, Soft lithography for micro- and nanoscale patterning, Nat. Protoc. 5, 491 (2010).
- D. Allan, C. van der Wel, N. Keim, T. A. Caswell, D. Wieker, R. Verweij et al., Soft-Matter/Trackpy: Trackpy v0.4.2 (Zenodo, 2019).
- J. C. Crocker and D. G. Grier, Methods of digital video microscopy for colloidal studies, J. Colloid Interface Sci. 179, 298 (1996).
- M. Martin, A. Barzyk, E. Bertin, P. Peyla, and S. Rafai, Photofocusing: Light and flow of phototactic microswimmer suspension, Phys. Rev. E 93, 051101(R) (2016).
- V. Kantsler, J. Dunkel, M. Polin, and R. E. Goldstein, Ciliary contact interactions dominate surface scattering of swimming eukaryotes, Proc. Natl. Acad. Sci. USA 110, 1187 (2013).
- E. Lushi, V. Kantsler, and R. E. Goldstein, Scattering of biflagellate microswimmers from surfaces, Phys. Rev. E 96, 023102 (2017).
- F. Jan Schwarzendahl and M. G. Mazza, Maximum in density heterogeneities of active swimmers, Soft Matter 14, 4666 (2018).
- M. Contino, E. Lushi, I. Tuval, V. Kantsler, and M. Polin, Microalgae Scatter Off Solid Surfaces by Hydrodynamic and Contact Forces, Phys. Rev. Lett. 115, 258102 (2015).
- K. Drescher, R. E. Goldstein, N. Michel, M. Polin, and I. Tuval, Direct Measurement of the Flow Field Around Swimming Microorganisms, Phys. Rev. Lett. 105, 168101 (2010).
- S. Chen and G. D. Doolen, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech. 30, 329 (1998).
- M. Brun-Cosme-Bruny, E. Bertin, B. Coasne, P. Peyla, and S. Rafaï, Effective diffusivity of microswimmers in a crowded environment, J. Chem. Phys. 150, 104901 (2019).
- M. E. Cates and J. Tailleur, Europhys. Lett. 101, 20010 (2013).
- J. D. Weeks, D. Chandler, and H. C. Andersen, Role of repulsive forces in determining the equilibrium structure of simple liquids, J. Chem. Phys. 54, 5237 (1971).
- C. K. Aidun and J. R. Clausen, Lattice-boltzmann method for complex flows, Annu. Rev. Fluid Mech. 42, 439 (2010).
- P. L. Bhatnagar, E. P. Gross, and M. Krook, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Phys. Rev. 94, 511 (1954).
- A. J. C. Ladd, Numerical simulations of particulate suspensions via a discretized boltzmann equation. Part 1. Theoretical foundation, J. Fluid Mech. 271, 285 (1994).
- C. S. Peskin, The immersed boundary method, Acta Numer. 11, 479 (2002).
- Z. Guo, C. Zheng, and B. Shi, Discrete lattice effects on the forcing term in the lattice boltzmann method, Phys. Rev. E 65, 046308 (2002).
- C. K. Aidun and Y. Lu, Lattice boltzmann simulation of solid particles suspended in fluid, J. Stat. Phys. 81, 49 (1995).
- C. K. Aidun, Y. Lu, and E.-J. Ding, Direct analysis of particulate suspensions with inertia using the discrete boltzmann equation, J. Fluid Mech. 373, 287 (1998).
- M. E. Cates, K. Stratford, R. Adhikari, P. Stansell, J.-C. Desplat, I. Pagonabarraga, and A. J. Wagner, Simulating colloid hydrodynamics with lattice boltzmann methods, J. Phys. Condens. Matter 16, S3903 (2004).