Search for a small egg by spermatozoa in restricted geometries

Journal of Mathematical Biology

Volumn 73, Issue 2, 2016, Pages 423-446

  Yang, J ^a,b   Kupka, I ^a   Schuss, Z ^c   Holcman, D ^a,d  

^a PSL RESEARCH UNIVERSITY   (France)

^b GUILIN UNIVERSITY OF ELECTRONIC TECHNOLOGY   (China)

^c TEL AVIV UNIVERSITY   (Israel)

^d UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Asymptotic estimates; Narrow escape; Numerical simulations; Random search process; Spermatozoa

Indexed keywords

ANATOMY AND HISTOLOGY; ANIMAL; BIOLOGICAL MODEL; BIOPHYSICS; FEMALE; HUMAN; MALE; OVUM; PHYSIOLOGY; SPERMATOZOON; UTERUS;

ANIMALS; BIOPHYSICAL PHENOMENA; FEMALE; HUMANS; MALE; MODELS, BIOLOGICAL; OVUM; SPERMATOZOA; UTERUS;

EID: 84952008357     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-015-0955-3     Document Type: Article

References (33)

1. Armon L, Eisenbach M (2011) Behavioral mechanism during human sperm chemotaxis: involvement of hyperactivation. PLoS One 6(12):e28359. doi:10.1371/journal.pone.0028359
2. Armon L, Ben-Ami I, Ron-El R, Eisenbach M (2014) Human oocyte-derived sperm chemoattractant is a hydrophobic molecule associated with a carrier protein. Fertil Steril 102(3):885–890
3. Benichou O, Moreau M, Suet PH, Voituriez R (2007) Intermittent search process and teleportation. J Chem Phys 126(23):234109
4. Berke AP, Turner L, Berg HC, Lauga E (2008) Hydrodynamic attraction of swimming microorganisms by surfaces. Phys Rev Lett 101(3):038102
5. Bunimovich LA, Dettmann CP (2005) Open circular Billiards and the Riemann hypothesis. Phys Rev Lett 94:100201
6. Chang MC (1951) Fertilizing capacity of spermatozoa deposited into the fallopian tubes. Nature 168(4277):697–698
7. Cheviakov A, Reimer AS, Ward MJ (2012) Mathematical modeling and numerical computation of narrow escape problems. Phys Rev E 85:021131
8. Denissenko P, Kantsler V, Smith DJ, Kirkman-Brown J (2012) Human spermatozoa migration in microchannels reveals boundary-following navigation. Proc Natl Acad Sci USA 109(21):8007–8010
9. Elgeti J, Kaupp UB, Gompper G (2010) Hydrodynamics of sperm cells near surfaces. Biophys J 9;99(4):1018–1026
10. Fu HC, Wolgemuth CW, Powers TR (2008) Beating patterns of filaments in viscoelastic fluids. Phys Rev E Stat Nonlin Soft Matter Phys 78(4 Pt 1):041913
11. Gaffney EA, Gadelha H, Smith DJ, Blake JR, Kirkman-Brown JC (2011) Mammalian sperm motility: observation and theory. Annu Rev Fluid Mech 43:501–528
12. Gray H, Pick T, Howden R (1974) Gray’s Anatomy: The Unabridged Running Press Edition of the American Classic, Running Press (unabridged edition)
13. Holcman D, Schuss Z (2004) Escape through a small opening: receptor trafficking in a synaptic membrane. J Stat Phys 117(5/6):191–230
14. Holcman D, Schuss Z (2013) The narrow escape problem. SIAM Rev 56(2):213–257
15. Holcman D, Schuss Z (2014) Time scale of diffusion in molecular and cellular biology. J Phys A Math Theor 47(17):173001
16. Holcman D, Schuss Z (2013) Control of flux by narrow passages and hidden targets in cellular biology. Rep Prog Phys 76(7)
17. Ishimoto K, Gaffney EA (2014) A study of spermatozoan swimming stability near a surface. J Theor Biol 360:187–199
18. Kantsler V, Dunkel J, Polin M, Goldstein RE (2013) Ciliary contact interactions dominate surface scattering of swimming eukaryotes. Proc Natl Acad Sci USA 110(4):1187–1192
19. Kantsler V, Dunkel J, Blayney M, Goldstein RE (2014) Rheotaxis facilitates upstream navigation of mammalian sperm cells. Elife 3:e02403. doi:10.7554/eLife.02403
20. Kurella V, Tzou J, Coombs D, Ward MJ (2015) Asymptotic analysis of first passage time problems inspired by ecology. Bull Math Biol 77(1):83–125
21. Marcos Fu HC, Powers TR, Stocker R (2012) Bacterial rheotaxis. Proc Natl Acad Sci USA 27;109(13):4780–4785
22. Michelin S, Lauga E (2010) The long-time dynamics of two hydrodynamically-coupled swimming cells. Bull Math Biol 72(4):973–1005
23. Olson SD, Fauci LJ, Suarez SS (2011) Mathematical modeling of calcium signaling during sperm hyperactivation. Mol Hum Reprod 17(8):500–510
24. Paxton F (1959) Solid angle calculation for a circular disk. Rev Sci Instrum 30:254–258
25. Prez-Cerezales S, Boryshpolets S, Eisenbach M (2015) Behavioral mechanisms of mammalian sperm guidance. Asian J Androl 17:628–632
26. Redner S (2001) A guide to first-passage processes hardcover
27. Reynaud K, Schuss Z, Rouach N, Holcman D (2015) Why so many sperm cells? Commun Integr Biol 3:e1017156
28. Rolland M, Le Moal J, Wagner V, Royre D, De Mouzon J (2013) Decline in semen concentration and morphology in a sample of 26,609 men close to general population between 1989 and 2005 in France. Hum Reprod 28(2):462–470
29. Schuss Z (2010) Theory and applications of stochastic processes, and analytical approach, Springer Series on Applied Mathematical Sciences, vol 170, NY
30. Schuss Z, Singer A, Holcman D (2007) Narrow escape: theory and applications to cellular microdomains. Proc Natl Acad Sci 104, 41, 1609816103
31. Smith DJ, Gaffney EA, Shum H, Gadelha H, Kirkman-Brown J (2011) Comment on the article by J. Elgeti, U. B. Kaupp, and G. Gompper: hydrodynamics of sperm cells near surfaces. Biophys J 100(9):2318–2320 (discussion 2321–2324)
32. Teves ME, Guidobaldi HA, Unates DR, Sanchez R, Miska W, Publicover SJ, Morales Garcia AA, Giojalas LC (2009) Molecular mechanism for human sperm chemotaxis mediated by progesterone. PLoS One 4(12):e8211
33. Ward MJ, Pillay S, Peirce A, Kolokolnikov T (2010) An asymptotic analysis of the mean first passage time for narrow escape problems: part I: two-dimensional domains. SIAM J Multiscale Model Simul 8(3):803–835