Reproduction-time statistics and segregation patterns in growing populations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 2, 2012, Pages

  Ali, Adnan ^a   Somfai, Ellák ^a   Grosskinsky, Stefan ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EXPONENTIAL DISTRIBUTIONS; GENERALIZED MODELS; GROWTH MODELS; KARDAR-PARISI-ZHANG UNIVERSALITIES; MICROBIAL COLONY; NUMERICAL EVIDENCE; ONE PARAMETER FAMILY; PATTERN FORMATION; POPULATION GROWTH; PREFACTORS; SCALING RELATIONS; SEGREGATION PATTERNS; SIGNIFICANT IMPACTS; TIME DISTRIBUTION; VARIATION COEFFICIENT;

YEAST;

POPULATION STATISTICS;

EID: 84857759429     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.021923     Document Type: Article

References (49)

1. A. M. Lacasta, I. R. Cantalapiedra, C. E. Auguet, A. Peñaranda, and L. Ramírez-Piscina, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59. 7036 59, 7036 (1999).
2. M. Matsushita, J. Wakita, H. Itoh, K. Watanabe, T. Arai, T. Matsuyama, H. Sakaguchi, and M. Mimura, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99) 00328-3 274, 190 (1999). (Pubitemid 30523124)
3. A.-L. Barabasi and H. E. Stanley, Fractal Concepts in Surface Growth, 1st ed. (Cambridge University Press, UK, 1995).
4. D. Wegmann, M. Currat, and L. Excoffier, Genetics GENTAE 0016-6731 10.1534/genetics.106.062851 174, 2009 (2006). (Pubitemid 46011590)
5. M. C. Fisher, G. L. Koenig, T. J. White, G. San-Blas, R. Negroni, I. G. Alvarez, B. Wanke, and J. W. Taylor, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.071406098 98, 4558 (2001). (Pubitemid 32295015)
6. C. Finlayson, Trends Ecol. Evol. 0169-5347 10.1016/j.tree.2005.05.019 20, 457 (2005). (Pubitemid 41026732)
7. T. Vicsek, M. Cserzo, and V. K. Horváth, Physica A PHYADX 0378-4371 10.1016/0378-4371(90)90116-A 167, 315 (1990).
8. D. Avnir, The Fractal Approach to Heterogeneous Chemistry (Wiley-Blackwell, Hoboken, NJ, 1989).
9. E. Ben-Jacob and P. Garik, Nature NATUAS 0028-0836 10.1038/343523a0 343, 523 (1990).
10. P. Meakin, Fractals, Scaling and Growth Far from Equilibrium, 1st ed. (Cambridge University Press Cambridge, UK, 1998).
11. J. Wakita, H. Itoh, T. Matsuyama, and M. Matsushita, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.66.67 66, 67 (1997).
12. M. Ohgiwari, M. Matsushita, and T. Matsuyama, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.61.816 61, 816 (1992).
13. D. W. Thompson, On Growth and Form, 1st ed. (Cambridge University Press, Cambridge, UK, 1992).
14. R. Tokita, T. Katoh, Y. Maeda, J. Wakita, M. Sano, T. Matsuyama, and M. Matsushita, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.78.074005 78, 074005 (2009).
15. O. Hallatschek, P. Hersen, S. Ramanathan, and D. R. Nelson, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0710150104 104, 19926 (2007).
16. M. Eden, A two-dimensional growth process, in Proceedings of Fourth Berkeley Symposium on Mathematics, Statistics, and Probability (University of California Press, Berkeley, 1961), Vol. 4, p. 223.
17. T. Vicsek, Fractal Growth Phenomena (World Scientific Publishing, Singapore, 1991), 2nd ed.
18. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.889 56, 889 (1986).
19. A. Ali and S. Grosskinsky, Adv. Complex Syst. 1284-8535 10.1142/S0219525910002578 13, 349 (2010).
20. O. Hallatschek and D. R. Nelson, Evolution EVOLAO 0014-3820 10.1111/j.1558-5646.2009.00809.x 64, 193 (2010).
21. B. D. Slaughter, S. E. Smith, and R. Li, Cold Spring Harbor Perspect. Biol. 1 (2009), doi: 10.1101/cshperspect.a003384.
22. K. S. Korolev, M. Avlund, O. Hallatschek, and D. R. Nelson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.1691 82, 1691 (2010).
23. D. J. Cole, B. J. T. Morgan, M. S. Ridout, L. J. Byrne, and M. F. Tuite, Math. Med. Biol. 1477-8599 10.1093/imammb/21.4.369 21, 369 (2004).
24. D. J. Cole, B. J. T. Morgan, M. S. Ridout, L. J. Byrne, and M. F. Tuite, Biometrics BIOMB6 0006-341X 10.1111/j.1541-0420.2007.00780.x 63, 1023 (2007). (Pubitemid 350212559)
25. K. J. Palmer, M. S. Ridout, and B. J. T. Morgan, J. R. Stat. Soc., Ser. C, Appl. Stat. 0035-9254 10.1111/j.1467-9876.2008.00625.x 57, 379 (2008).
26. M. A. C. Huergo, M. A. Pasquale, A. E. Bolzán, A. J. Arvia, and P. H. González, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.031903 82, 031903 (2010).
27. F. Family and T. Vicsek, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 18/2/005 18, 75 (1985).
28. J. Krug, P. Meakin, and T. Halpin-Healy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.638 45, 638 (1992).
29. J. G. Amar and F. Family, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.5378 45, 5378 (1992).
30. M. Rost and J. Krug, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95) 00184-6 88, 1 (1995).
31. E. Medina, T. Hwa, M. Kardar, and Y.-C. Zhang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.3053 39, 3053 (1989).
32. J. G. Amar, P.-M. Lam, and F. Family, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.4548 43, 4548 (1991).
33. E. Katzav and M. Schwartz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.011601 70, 011601 (2004).
34. H. Xia, G. Tang, J. Ma, D. Hao, and Z. Xun, J. Phys. A 1751-8113 10.1088/1751-8113/44/27/275003 44, 275003 (2011).
35. T. Gang, H. Da-Peng, X. Hui, H. Kui, and X. Zhi-Peng, Chin. Phys. B 1674-1056 10.1088/1674-1056/19/10/100508 19, 100508 (2010).
36. A. K. Chattopadhyay, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80. 011144 80, 011144 (2009).
37. Y. Saito and H. Müller-Krumbhaar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4325 74, 4325 (1995).
38. K. Sasaki and T. Nakagawa, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.69.1341 69, 1341 (2000).
39. P. A. Alemany and D. ben Avraham, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00625-D 206, 18 (1995).
40. R. Munasinghe, R. Rajesh, R. Tribe, and O. Zaboronski, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-006-0110-5 268, 717 (2006). (Pubitemid 44630354)
41. E. O. Powell, J. Gen. Microbiol. 15, 492 (1956).
42. J. B. A. Elfwing, Y. LeMarc, and A. Ballagil, Appl. Environ. Microbiol. AEMIDF 0099-2240 10.1128/AEM.70.2.675-678.2004 70, 675 (2004). (Pubitemid 38568187)
43. O. Rahn, J. Gen. Physiol. JGPLAD 0022-1295 10.1085/jgp.15.3.257 15, 257 (1932).
44. M. L. Slater, S. O. Sharrow, and J. J. Gart, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.74.9.3850 74, 3850 (1977). (Pubitemid 8193521)
45. D. Siegal-Gaskins and S. Crosson, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.108.128785 95, 2063 (2008).
46. G. W. Niven, T. Fuks, J. S. Morton, S. A. Rua, and B. M. Mackey, J. Microbiol. Methods JMIMDQ 0167-7012 10.1016/j.mimet.2005.08.006 65, 311 (2006).
47. Y. Wakamoto, J. Ramsden, and K. Yasuda, Analyst ANALAO 0003-2654 10.1039/b409860a 130, 311 (2005). (Pubitemid 40388933)
48. D. R. N. Kirill, S. Korolev, J. B. Xavier, and K. R. Foster, Am. Nat. AMNTA4 0003-0147 10.1086/661897 178, 538 (2011).
49. S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. Lond. A 1364-5021 10.1098/rspa.1982.0056 381, 17 (1982).