Abstract
Suitable asymmetric microstructures can be used to control the direction of motion in microorganism populations. This rectification process makes it possible to accumulate swimmers in a region of space or to sort different swimmers. Here we study numerically how the separation process depends on the specific motility strategies of the microorganisms involved. Crucial properties such as the separation efficiency and the separation time for two bacterial strains are precisely defined and evaluated. In particular, the sorting of two bacterial populations inoculated in a box consisting of a series of chambers separated by columns of asymmetric obstacles is investigated. We show how the sorting efficiency is enhanced by these obstacles and conclude that this kind of sorting can be efficiently used even when the involved populations differ only in one aspect of their swimming strategy.
[1] E. E. Keaveny, S. W. Walker, M. J. Shelley, Nano Lett. 13, 531 (2013) http://dx.doi.org/10.1021/nl304047710.1021/nl3040477Search in Google Scholar PubMed
[2] G. Mahmud et al., Nature Phys. 5, 606 (2009) http://dx.doi.org/10.1038/nphys130610.1038/nphys1306Search in Google Scholar
[3] K. Konstantopoulus, P. Wu, D. Wirtz, Biophys. J. 104, 279 (2013) http://dx.doi.org/10.1016/j.bpj.2012.12.01610.1016/j.bpj.2012.12.016Search in Google Scholar PubMed PubMed Central
[4] R. Peng, X. Yao, J. Ding, Biomaterials 32, 8048 (2011) http://dx.doi.org/10.1016/j.biomaterials.2011.07.03510.1016/j.biomaterials.2011.07.035Search in Google Scholar PubMed
[5] P. Galajda, J. Keymer, P. Chaikin, R. Austin, J. Bacteriol. 189, 8704 (2007) http://dx.doi.org/10.1128/JB.01033-0710.1128/JB.01033-07Search in Google Scholar PubMed PubMed Central
[6] S. Y. Kim et al., J. Micromech. Microeng. 20, 0950061 (2010) 10.1088/0960-1317/20/4/045008Search in Google Scholar
[7] J. Elgeti, U. B. Kaupp, G. Gompper, Biophys. J. 99, 1018 (2010) http://dx.doi.org/10.1016/j.bpj.2010.05.01510.1016/j.bpj.2010.05.015Search in Google Scholar PubMed PubMed Central
[8] P. Denissenko, V. Kantsler, D. J. Smith, J. Kirkman-Brown, Proc. Natl. Acad. Sci. USA 109, 8007 (2012) http://dx.doi.org/10.1073/pnas.120293410910.1073/pnas.1202934109Search in Google Scholar PubMed PubMed Central
[9] T. M. Squires, S. R. Quake, Rev. Mod. Phys. 77, 977 (2005) http://dx.doi.org/10.1103/RevModPhys.77.97710.1103/RevModPhys.77.977Search in Google Scholar
[10] K. Leung et al., Proc. Natl. Acad. Sci. USA 109, 20 (2012) Search in Google Scholar
[11] L. G. Wilson et al., Phys. Rev. Lett. 106, 018101 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.01810110.1103/PhysRevLett.106.018101Search in Google Scholar PubMed
[12] E. Altshuler et al., Soft Matter. 9, 1864 (2013) http://dx.doi.org/10.1039/c2sm26460a10.1039/C2SM26460ASearch in Google Scholar
[13] V. Kantsler, J. Dunkel, M. Polin, R. E. Goldstein, Proc. Natl. Acad. Sci. USA 110, 4 (2013) http://dx.doi.org/10.1073/pnas.121842311010.1073/pnas.1218423110Search in Google Scholar
[14] G. Lambert, D. Liao, R. H. Austin, Phys. Rev. Lett. 104, 168102 (2010) http://dx.doi.org/10.1103/PhysRevLett.104.16810210.1103/PhysRevLett.104.168102Search in Google Scholar PubMed PubMed Central
[15] J. A. Drocco, C. J. O. Reichhardt, C. Reichhardt, Phys. Rev. E 85, 056102 (2012) http://dx.doi.org/10.1103/PhysRevE.85.05610210.1103/PhysRevE.85.056102Search in Google Scholar PubMed
[16] C. A. Condat, J. Jäckle, S. A. Menchón. Phys. Rev. E 72, 021909, (2005) http://dx.doi.org/10.1103/PhysRevE.72.02190910.1103/PhysRevE.72.021909Search in Google Scholar PubMed
[17] F. Peruani, L. G. Morelli, Phys. Rev. Lett. 99, 010602 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.01060210.1103/PhysRevLett.99.010602Search in Google Scholar PubMed
[18] V. Garcia, M. Birbaumer, F Schweitzer, Eur. Phys. J. B 82, 235 (2011) http://dx.doi.org/10.1140/epjb/e2011-20425-210.1140/epjb/e2011-20425-2Search in Google Scholar
[19] M. E. Di Salvo, C. A. Condat, Phys. Rev. E 86, 061907 (2012) http://dx.doi.org/10.1103/PhysRevE.86.06190710.1103/PhysRevE.86.061907Search in Google Scholar PubMed
[20] G. Grégoire, H. Chaté, Phys. Rev. Lett. 92, 025702 (2004) http://dx.doi.org/10.1103/PhysRevLett.92.02570210.1103/PhysRevLett.92.025702Search in Google Scholar PubMed
[21] E. Bertin, M. Droz, G. Grégoire, J. Phys. A 42, 445001 (2009) http://dx.doi.org/10.1088/1751-8113/42/44/44500110.1088/1751-8113/42/44/445001Search in Google Scholar
[22] C. A. Weber et al., Phys. Rev. Lett. 110, 208001 (2013) http://dx.doi.org/10.1103/PhysRevLett.110.20800110.1103/PhysRevLett.110.208001Search in Google Scholar PubMed
[23] P. Romanczuk, L. Schimansky-Geier, Phys. Rev. Lett. 106, 230601 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.23060110.1103/PhysRevLett.106.230601Search in Google Scholar PubMed
[24] B. S. Cho, T. G. Schuster, X. M. Zhu, D. Chang, G. D. Smith, S. Takayama, Anal. Chem. 75, 4671 (2003) 10.1021/ac020579eSearch in Google Scholar PubMed
[25] S. E. Hulme et al., Lab on a Chip 8, 1888 (2008) http://dx.doi.org/10.1039/b809892a10.1039/b809892aSearch in Google Scholar PubMed
[26] W. Yang, V. R. Misko, K. Nelissen, M. Kong, F. M. Peeters, Soft Matter 8, 5175 (2012) http://dx.doi.org/10.1039/c2sm07382j10.1039/c2sm07382jSearch in Google Scholar
[27] L. Bogunovic, R. Eichhorn, J. Regtmeier, D. Anselmetti, P. Reimann, Soft Matter 8, 3900 (2012) http://dx.doi.org/10.1039/c2sm07053g10.1039/c2sm07053gSearch in Google Scholar
[28] J. Voldman, Nature Phys. 5, 536 (2009) http://dx.doi.org/10.1038/nphys134910.1038/nphys1349Search in Google Scholar
[29] H. C. Berg, Random Walks in Biology (Princeton University Press, Princeton, New Jersey, 1993) Search in Google Scholar
[30] H. C. Berg, E. coli in motion (Springer, New York, 2004) 10.1007/b97370Search in Google Scholar
[31] H. C. Berg, D. A. Brown, Nature 239, 500 (1972) http://dx.doi.org/10.1038/239500a010.1038/239500a0Search in Google Scholar PubMed
[32] G. M. Barbara, J. G. Mitchell, FEMS Microbiol. Ecol. 44, 79 (2003) http://dx.doi.org/10.1111/j.1574-6941.2003.tb01092.x10.1111/j.1574-6941.2003.tb01092.xSearch in Google Scholar PubMed
[33] L. Xie, T. Altindal, S. Chattopadhyay, X. L. Wu, Proc. Natl. Acad. Sci. USA 108, 22462251 (2011) 10.1073/pnas.1011953108Search in Google Scholar PubMed PubMed Central
[34] M. Wan, C. J. O. Reichhardt, Z. Nussinov, C. Reichhardt, Phys. Rev. Lett. 101, 018102 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.01810210.1103/PhysRevLett.101.018102Search in Google Scholar PubMed
[35] J. Tailleur, M. E. Cates, Eur. Phys. Lett. 86, 60002 (2009) http://dx.doi.org/10.1209/0295-5075/86/6000210.1209/0295-5075/86/60002Search in Google Scholar
[36] I. Berdakin et al., Phys. Rev. E 87, 052702 (2013) http://dx.doi.org/10.1103/PhysRevE.87.05270210.1103/PhysRevE.87.052702Search in Google Scholar PubMed
[37] P. D. Frymier, R. M. Ford, H. C. Berg, P. T. Cummingssi, Proc. Natl. Acad. Sci. USA 92,6195-9 (1995) 10.1073/pnas.92.13.6195Search in Google Scholar PubMed PubMed Central
[38] G. Li, J. X. Tang, Phys. Rev. Lett. 103, 078101 (2009) http://dx.doi.org/10.1103/PhysRevLett.103.07810110.1103/PhysRevLett.103.078101Search in Google Scholar PubMed PubMed Central
[39] G. Miño et al., Phys. Rev. Lett. 106, 0481021 (2011) 10.1103/PhysRevLett.106.048102Search in Google Scholar PubMed
[40] K. Drescher, J. Dunkel, L. H. Cisneros, S. Ganguly, R. E. Goldstein, Proc. Natl. Acad. Sci. USA 108, 10940 (2011) http://dx.doi.org/10.1073/pnas.101907910810.1073/pnas.1019079108Search in Google Scholar PubMed PubMed Central
[41] A. Costanzo, R. Di Leonardo, G. Ruocco, L. Angelani, J. Phys.: Condens. Matter 24, 065101 (2012) 10.1088/0953-8984/24/6/065101Search in Google Scholar PubMed
[42] T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, O. Shochet, Phys. Rev. Lett. 75, 1226 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.122610.1103/PhysRevLett.75.1226Search in Google Scholar PubMed
[43] G. Grégoire, H. Chaté, Y. Tu, Physica D 181, 157 (2003). http://dx.doi.org/10.1016/S0167-2789(03)00102-710.1016/S0167-2789(03)00102-7Search in Google Scholar
[44] H. Chaté, F. Ginelli, G. Grégoire, F. Raynaud, Phys. Rev. E 77, 046113 (2008) http://dx.doi.org/10.1103/PhysRevE.77.04611310.1103/PhysRevE.77.046113Search in Google Scholar PubMed
[45] E. Bertin, M. Droz, G. Grégoire, Phys. Rev. E 74, 022101 (2006) http://dx.doi.org/10.1103/PhysRevE.74.02210110.1103/PhysRevE.74.022101Search in Google Scholar PubMed
[46] T. Ihle, Phys. Rev. E 83, 030901(R) (2011). http://dx.doi.org/10.1103/PhysRevE.83.03090110.1103/PhysRevE.83.030901Search in Google Scholar PubMed
[47] R. Grossmann, L. Schimansky-Geier, P. Romanczuk, New J. Phys. 14, 073033 (2012) http://dx.doi.org/10.1088/1367-2630/14/7/07303310.1088/1367-2630/14/7/073033Search in Google Scholar
[48] P. Romanczuk, M. Baer, W. Ebeling, B. Lindner, L. Schimansky-Geier, Eur. Phys. J. Special Topics 202, 1 (2012) http://dx.doi.org/10.1140/epjst/e2012-01529-y10.1140/epjst/e2012-01529-ySearch in Google Scholar
[49] M. Polin, I. Tuval, K. Drescher, J. P. Gollub, R. E. Goldstein, Science 325, 487 (2009) http://dx.doi.org/10.1126/science.117266710.1126/science.1172667Search in Google Scholar PubMed
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