[en] It has been shown that a nanoliter chamber separated by a wall of asymmetric obstacles can lead to an inhomogeneous distribution of self-propelled microorganisms. Although it is well established that this rectification effect arises from the interaction between the swimmers and the noncentrosymmetric pillars, here we demonstrate numerically that its efficiency is strongly dependent on the detailed dynamics of the individual microorganism. In particular, for the case of run-and-tumble dynamics, the distribution of run lengths, the rotational diffusion, and the partial preservation of run orientation memory through a tumble are important factors when computing the rectification efficiency. In addition, we optimize the geometrical dimensions of the asymmetric pillars in order to maximize the swimmer concentration and we illustrate how it can be used for sorting by swimming strategy in a long array of parallel obstacles.
Disciplines :
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others
Author, co-author :
Berdakin, I; Universidad Nacional de Cordoba, Argentina
Jeyaram, Y.; Katholieke Universiteit Leuven - KUL
Moshchalkov, V.V.; Katholieke Universiteit Leuven - KUL
Venken, L.; Katholieke Universiteit Leuven - KUL
Dierckx, S.; Katholieke Universiteit Leuven - KUL
Vanderleyden, J.; Katholieke Universiteit Leuven - KUL
Silhanek, Alejandro ; Université de Liège - ULiège > Département de physique > Physique de la matière condensée
Condat, C.A.; Universidad de Cordoba, Argentina
Marconi, V.; Universidad de Cordoba, Argentina
Language :
English
Title :
Influence of swimming strategy on microorganism separation by asymmetric obstacles
Publication date :
02 May 2013
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1539-3755
eISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
T. M. Squires and S. R. Quake, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.977 77, 977 (2005). (Pubitemid 43272528)
K. Leung, H. Zahn, T. Leaver, K. M. Konwar, N. W. Hanson, A. P. Pagé, Ch. Lo, P. S. Chain, S. J. Hallam, and C. L. Hansen, Proc. Natl. Acad. Sci. USA 109, 20 (2012).
J. Voldman, Nat. Phys. 1745-2473 10.1038/nphys1349 5, 536 (2009).
G. Mahmud, C. J. Campbell, K. J. M. Bishop, Y. A. Komarova, O. Chaga, S. Soh, S. Huda, K. Kandere-Grzybowska, and B. A. Grzybowski, Nat. Phys. 1745-2473 10.1038/nphys1306 5, 606 (2009).
K. Konstantopoulus, P. Wu, and D. Wirtz, Biophys. J. BIOJAU 0006-3495 10.1016/j.bpj.2012.12.016 104, 279 (2013).
S. Chang, W. Guo, Y. Kim, and Y. Wang, Biophys. J. BIOJAU 0006-3495 10.1016/j.bpj.2012.12.001 104, 313 (2013).
R. Peng, X. Yao, and J. Ding, Biomaterials BIMADU 0142-9612 10.1016/j.biomaterials.2011.07.035 32, 8048 (2011).
P. Galajda, J. Keymer, P. Chaikin, and R. Austin, J. Bacteriol. JOBAAY 0021-9193 10.1128/JB.01033-07 189, 8704 (2007). (Pubitemid 350210041)
S. Y. Kim, E. S. Lee, H. J. Lee, S. Y. Lee, S. K. Lee, and T. Kim, J. Micromech. Microeng. 20, 0950061 (2010).
P. Denissenko, V. Kantsler, D. J. Smith, and J. Kirkman-Brown, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1202934109 109, 8007 (2012).
S. Sánchez, A. A. Solovev, S. M. Harazim, and O. G. Schmidt, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja109627w 133, 701 (2011).
A. P. Berke, L. Turner, H. C. Berg, and E. Lauga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.038102 101, 038102 (2008).
G. Li and J. X. Tang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.078101 103, 078101 (2009).
G. Miño, T. E. Mallouk, T. Darnige, M. Hoyos, J. Dauchet, J. Dunstan, R. Soto, Y. Wang, A. Rousselet, and E. Clement, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.048102 106, 048102 (2011).
L. Angelani, R. Di Leonardo, and G. Ruocco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.048104 102, 048104 (2009).
A. Sokolov, M. M. Apodaca, B. A. Grzybowski, and I. S. Aranson, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0913015107 107, 969 (2010).
G. Lambert, D. Liao, and R. H. Austin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.168102 104, 168102 (2010).
E. Altshuler, G. Miño, C. Pérez-Penichet, L. del Rio, A. Lindner, A. Rousselet, and E. Clément, Soft Matter 1744-683X 10.1039/c2sm26460a 9, 1864 (2013).
H. C. Berg, E. coli in Motion (Springer, New York, 2004).
C. A. Condat, J. Jäckle, and S. A. Menchón, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.021909 72, 021909 (2005). (Pubitemid 41520910)
H. C. Berg and D. A. Brown, Nature NATUAS 0028-0836 10.1038/239500a0 239, 500 (1972).
M. B. Wan, C. J. Olson Reichhardt, Z. Nussinov, and C. Reichhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.018102 101, 018102 (2008);
C. J. Olson Reichhardt, J. Drocco, T. Mai, M. B. Wan, and C. Reichhardt, SPIE proc. 8097 (2011), doi: 10.1117/12.897424.
J. Liu and R. S. Ford, Environ. Sci. Technol. ESTHAG 0013-936X 10.1021/es901865p 43, 8874 (2009).
K. Erglis, Q. Wen, V. Ose, A. Zeltins, A. Sharipo, P. A. Janmey, and A. Cebers, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.107.107474 93, 1402 (2007). (Pubitemid 47330920)
R. Stocker, Proc. Natl. Acad. Sci. USA 0027-8424 10.1073/pnas.1019199108 108, 2635 (2011);
L. Xie, T. Altindal, S. Chattopadhyay, and X. L. Wu, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1019199108 108, 2246 (2011).
See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.87.052702 for additional figures and a table.
H. C. Berg, Random Walks in Biology (Princeton University Press, Princeton, NJ, 1993).
P. S. Lovely and F. W. Dahlquist, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(75)90094-6 50, 477 (1975).
K. Drescher, J. Dunkel, L. H. Cisneros, S. Ganguly, and R. E. Goldstein, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1019079108 108, 10940 (2011).
L. G. Wilson, V. A. Martinez, J. Schwarz-Linek, J. Tailleur, P. N. Pusey, W. C. K. Poon, and G. Bryant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.018101 106, 018101 (2011).
B. S. Cho, T. G. Schuster, X. Zhu, D. Chang, G. D. Smith, and S. Takayama, Anal. Chem. ANCHAM 0003-2700 10.1021/ac020579e 75, 4671 (2003). (Pubitemid 36512607)
S. E. Hulme, W. R. DiLuzio, S. S. Shevkoplyas, L. Turner, M. Mayer, H. C. Berg, and G. M. Whitesides, Lab on a Chip 1473-0197 10.1039/b809892a 8, 1888 (2008).
L. Bogunovic, R. Eichhorn, J. Regtmeier, D. Anselmetti, and P. Reimann, Soft Matter 1744-683X 10.1039/c2sm07053g 8, 3900 (2012).
S. Matthias and F. Müller, Nature NATUAS 0028-0836 10.1038/nature01736 424, 53 (2003). (Pubitemid 36834837)
J. Männik, R. Driessen, P. Galajda, J. E. Keymer, and C. Dekker, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0907542106 106, 14861 (2009).
Q. Guo, S. M. McFaul, and H. Ma, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.051910 83, 051910 (2011).