Eigen's error threshold and mutational meltdown in a quasispecies model

International Journal of Modern Physics C

Volumn 9, Issue 7, 1998, Pages 999-1005

  Bagnoli, F ^a,b   Bezzi, M ^c,d  

^a UNIVERSITY OF FLORENCE   (Italy)

^b INFM   (Italy)

^c UNIVERSITY OF BOLOGNA   (Italy)

^d INFN SEZIONE DI BOLOGNA   (Italy)

Author keywords

Darwinian Theory; Eigen Model; Mutational Meltdown; Population Dynamics; Speciation Models

Indexed keywords

EID: 0032271381     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183198000935     Document Type: Article

References (19)

1. W. Eigen, Naturwissenshaften 58, 465 (1971); W. Eigen and P. Schuster, Naturwissenshaften 64, 541 (1977).
2. W. Eigen, Naturwissenshaften 58, 465 (1971); W. Eigen and P. Schuster, Naturwissenshaften 64, 541 (1977).
3. The Eigen's model can be considered as a sequence space version of classical selection mutation equations (E. Baake, private communication). See also J. Hofbauer, J. Math. Biol. 23, 41 (1985).
4. F. Bagnoli and M. Bezzi, Phys. Rev. Lett. 79, 3302 (1997); F. Bagnoli and M. Bezzi, Int. J. Mod. Phys. C 9, 555 (1988).
5. F. Bagnoli and M. Bezzi, Phys. Rev. Lett. 79, 3302 (1997); F. Bagnoli and M. Bezzi, Int. J. Mod. Phys. C 9, 555 (1988).
6. The quasispecies model is not limited to a constant population size; it is sufficient that the population is large enough to allow a continuous variable description, and that the death rate is independent of the genotype (E. Baake, private communication). See also H. Wagner, T. Gerisch, and E. Baake, J. Stat. Phys. (1998), in press.
7. M. Nowak and P. Schuster, J. Theor. Biol. 137, 375 (1989).
8. D. Alves and J. F. Fontanari, Phys. Rev. E 57, 7008 (1998).
9. S. Galluccio, Phys. Rev. E 56, 4526 (1997).
10. J. Maynard Smith, The Evolution of Sex (Cambridge University Press, Cambridge, 1978), pp. 33-36.
11. P. G. Higgs and G. Woodcock, J. Math. Biol. 33, 677 (1995).
12. G. Woodcock and P. G. Higgs, J. Theor. Biol. 179, 61 (1996).
13. K. F. Pal, Int. J. Mod. Phys. C 7, 899 (1996).
14. M. Lynch and W. Gabriel, Evolution 44, 1725 (1990).
15. M. Lynch, R. Bürger, D. Butcher, and W. Gabriel, J. Hered. 84, 339 (1993).
16. A. T. Bernardes, J. Physique 15, 1501 (1995).
17. K. Malarz and D. Tiggemann, Int. J. Mod. Phys. C 9, 481 (1998).
18. E. Baake and T. Wiehe, J. Math. Biol. 35, 321 (1997).
19. T. Wiehe, E. Baak, and P. Schuster, J. Theor. Biol. 177, 1 (1995).