Stochastic models of telomere shortening

Mathematical Biosciences

Volumn 158, Issue 1, 1999, Pages 75-92

  Olofsson, Peter ^a   Kimmel, Marek ^a  

^a Rice University   (United States)

Author keywords

Asymptotic behavior; Cell aging; Reducible multitype branching process; Telomeres

Indexed keywords

ARTICLE; CELL AGING; CELL DEATH; MATHEMATICAL MODEL; PROBABILITY; STOCHASTIC MODEL; TELOMERE;

CELL DEATH; MODELS, STATISTICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; STOCHASTIC PROCESSES; TELOMERE;

EID: 0032937038     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(98)10092-5     Document Type: Article

References (15)

1. C.B. Harley, Telomere loss: mitotic clock or genetic time bomb?, Mut. Res. 256 (1991) 271.
2. A.M. Olovnikov, A theory of marginotomy, J. Theor. Biol. 41 (1973) 181.
3. R. Holliday, Growth and death of diploid and transformed human fibroblasts, Fed. Proc. 34 (1975) 51.
4. M.Z. Levy, R.C. Allsopp, A.B. Futcher, C.W. Greider, C.B. Harley, Telomere end-replication problem and cell aging, J. Molec. Biol. 225 (1992) 951.
5. O. Arino, M. Kimmel, G.F. Webb, Mathematical modeling of the loss of telomere sequences, J. Theor. Biol. 177 (1995) 45.
6. C. Mode, Multitype Branching Processes, Elsevier, New York, 1971.
7. P. Jagers, General branching processes as Markov fields, Stoch. Proc. Appl. 32 (1989) 183.
8. C.M. Counter, A.A. Avilion, C.E. LeFeuvre, N.G. Stewart, C.W. Greider, C.B. Harley, S. Bacchetti, Telomere shortening associated with chromosome instability is arrested in immortal cells which express telomerase activity, EMBO J. 11 (1992) 1921.
9. E. Jeanclos, A. Krolewski, J. Skurnick, M. Kimura, H. Aviv, A. Aviv, Shortened telomere length in white blood cells of patients with IDDM, Diabetes 47 (1998) 482.
10. + T cell turnover, Science 274 (1996) 1543.
11. N.-P. Weng, B.L. Levine, C.H. June, R.J. Hodes, Human naive and memory T lymphocytes differ in telomeric length and replicative potential, Proc. Nat. Acad. Sci. USA 92 (1995) 11091.
12. O. Arino, E. Sanchez, G.F. Webb, Polynomial growth dynamics of telomere loss in a heterogeneous cell population, Dynam. Contin. Discr. Impulsive Syst. 3 (1997) 262.
13. P. Olofsson, A branching process model of telomere shortening, Stochastic Models, submitted.
14. W. Feller, An Introduction to Probability Theory and Its Applications, vol. 2, Wiley, New York, 1966.
15. S. Asmussen, Applied Probability and Queues, Wiley, New York, 1987.