Unified framework for quasispecies evolution and stochastic quantization

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

Volumn 83, Issue 5, 2011, Pages

  Bianconi, Ginestra ^a   Rahmede, Christoph ^b  

^a NORTHEASTERN UNIVERSITY   (United States)

^b UNIVERSITY OF SUSSEX   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALTERNATIVE APPROACH; ASEXUAL POPULATION; BIOLOGICAL EVOLUTION; BOSE-EINSTEIN STATISTICS; CREATION-ANNIHILATION PROCESS; DINGER EQUATION; EIGENVALUES; EVOLUTION EQUATIONS; EVOLUTIONARY OPERATORS; HIGH TEMPERATURE; INVERSE TEMPERATURES; LOW TEMPERATURES; QUASISPECIES; QUASISPECIES EVOLUTION; SCATTERING PROCESS; STEADY STATE; STOCHASTIC DYNAMICS; STOCHASTIC QUANTIZATION; UNIFIED FRAMEWORK;

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; STATISTICAL MECHANICS; STOCHASTIC SYSTEMS;

BIOLOGY;

EID: 79961035858     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.056104     Document Type: Article

References (37)

1. R. A. Fisher, The Genetical Theory of Natural Selection (Clarendon Press, Oxford, 1930).
2. M. Kimura, J. Appl. Prob. JPRBAM 0021-9002 10.2307/3211856 1, 177 (1964).
3. G. Sella and A. E. Hirsh, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0501865102 202, 9541 (2005). (Pubitemid 40981717)
4. U. Gerland, J. D. Moroz, and T. Hwa, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.192693599 99, 12015 (2002).
5. G. Price, Ann. Hum. Genet. ANHGAA 0003-4800 10.1111/j.1469-1809.1972. tb00764.x 36, 129 (1972).
6. M. A. Nowak, Evolutionary Dynamics (Belknap Press, Cambridge, MA, 2006).
7. J. F. C. Kingman, J. Appl. Prob. JPRBAM 0021-9002 10.2307/3213231 15, 1 (1978).
8. S.-C. Park and J. Krug, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2008/ 04/P04014 (2008) P04014.
9. G. Bianconi and A. L. Barabási, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5632 86, 5632 (2001). (Pubitemid 32548982)
10. G. Bianconi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.036116 66, 036116 (2002). (Pubitemid 40606447)
11. G. Bianconi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.056123 66, 056123 (2002). (Pubitemid 40618554)
12. G. Bianconi, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10167-2 71, 1029 (2005). (Pubitemid 41352692)
13. S. N. Coppersmith, R. D. Blanck, and L. P. Kadanoff, J. Stat. Phys. 0022-4715 10.1023/A:1004678222262 97, 429 (1999).
14. G. Bianconi, L. Ferretti, and S. Franz, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/87/28001 87, 28001 (2009).
15. R. A. Neher and B. I. Shraiman, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0812560106 106, 6866 (2009).
16. M. Eigen, Naturwissenschaften NATWAY 0028-1042 10.1007/BF00623322 58, 465 (1971).
17. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, UK, 1998).
18. J. H. Gillespie, Population Genetics: A Concise Guide (Johns Hopkins University Press, Baltimore, 2004).
19. D. Hartl and A. G. Clark, Principles of Population Genetics (Sinauer Associates, Sunderland, 2007).
20. K. Jain and J. Krug in Structural Approaches to Sequence Evolution, eds., U. Bastolla, M. Porto, H. E. Roman, and, M. Vendruscolo, (Springer-Verlag, Berlin, 2007), pp. 299-339.
21. G. Bianconi and O. Rotzschke, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.036109 82, 036109 (2010).
22. E. Baake, M. Baake, and H. Wagner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.559 78, 559 (1997).
23. R. Feistel and W. Ebeling, Evolution of Complex Systems: Self-organization, Entropy and Development (Kluwer Academic Publishers, Berlin 1989).
24. J. Dunkel, W. Ebeling, L. Schimansky-Geier, and P. Hänggi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.061118 67, 061118 (2003).
25. J. Dunkel, S. Hilbert, L. Schimansky-Geier, and P. Hänggi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.056118 69, 056118 (2004).
26. L. Peliti, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00526-5 57, 745 (2002).
27. S. Leibler and E. Kussell, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0912538107 107, 13183 (2010).
28. V. Mustonen and M. Lässig, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0907953107 107, 4248 (2010).
29. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1996).
30. G. Parisi and Y. Wu, Scientia Sinica 24, 483 (1981).
31. G. Jona-Lasinio and P. K. Mitter, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01216097 101, 409 (1985).
32. M. Namiki, Stochastic Quantization (Springer-Verlag, Berlin, 1992).
33. E. Schrödinger, What Is Life? The Physical Aspect of the Living Cell (Cambridge University Press, 1944).
34. P. C. W. Davies, BioSystems BSYMBO 0303-2647 10.1016/j.biosystems.2004. 07.001 78, 69 (2004). (Pubitemid 39536133)
35. S. Lloyd, Nature Phys. BSYMBO 1745-2473 10.1038/nphys1208 5, 164 (2009).
36. D. Abbott, P. Davies, and A. K. Pati, Quantum Aspects of Life (Imperial College Press, London, 2008).
37. J. McFadden, Quantum Evolution (W. W. Norton, New York, 2000).