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Phys. Rev. E 70, 021907 (2004) [4 pages]

Solvable senescence model with positive mutations

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J. B. Coe1, Y. Mao1,2, and M. E. Cates3
1Cavendish Laboratory, Madingley Road, Cambridge CB3 OHE, United Kingdom
2School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
3Department of Physics and Astronomy, University of Edinburgh, King’s Buildings, Mayfield Road,Edinburgh EH9 3JZ, United Kingdom

Received 24 April 2004; published 17 August 2004

We build upon our previous analytical results for the Penna model of senescence to include positive mutations. We investigate whether a small but nonzero positive mutation rate gives qualitatively different results to the traditional Penna model in which no positive mutations are considered. We find that the high-lifespan tail of the distribution is radically changed in structure, but that there is not much effect on the bulk of the population. The mortality plateau that we found previously for a stochastic generalization of the Penna model is stable to a small positive mutation rate.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.021907
DOI:
10.1103/PhysRevE.70.021907
PACS:
87.23.−n, 87.10.+e