Polynomial growth dynamics of telomere loss in a heterogeneous cell population

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 3, Issue 3, 1997, Pages 263-282

  Arino, O ^a   Sanchez E ^b   Webb, G F ^c  

^a UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

^b ETS Ingenieros de Telecomunicacion   (Spain)

^c VANDERBILT UNIVERSITY   (United States)

Author keywords

Asymptotic limit; Integral equations; Proliferating cell population; Semigroup of linear operators; Telomere length

Indexed keywords

EID: 3042986298     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. R.C. Allsopp, H. Vaziri, C. Patterson, L. Goldstein, E. Younglais, A.B. Futcher, C.W. Greider, C.B Harvey, Telomere Length Predicts Replicative Capacity of Human Fibroblasts, Proc. Natl. Acad. Sci. U.S.A. 89 (1992), 10114-10118.
2. O. Arino, M. Kimmel, G.F. Webb, Mathematical Modelling of the Loss of Telomere Sequences, (to appear).
3. 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 Telomere Activity, The EMBO Journal, 11 (1992), 1921-1929.
4. C.W. Greider, Telomeres, Telomerase and Senescence, BioEssays Vol 12, N.8 (1990), 363-369.
5. C.W. Greider, Telomerase is Processive, Mol. Cell. Biol. Vol 11 N.9 (1991), 4572-4580.
6. C.B. Harley, Telomere Loss :Mitotic Clock or Genetic Tune Bomb?, Mutation Research 256 (1991), 271-282.
7. M. Kimmel, Quasistationarity in a Branching Model of Division-Within-Division, (to appear).
8. M. Kimmel, D. Stivers, Time-Continuous Branching Random Walk of Unstable Gene Amplification, Bull. Math. Biol. 56 (1994), 337-352.
9. M.Z. Levy, R.C. Allsopp, A.B. Futcher, C.W. Greider, C.B. Harley, Telomere End-Replication Problem and CeU Aging, J. Mol. Biol 225 (1992), 951-960.
10. n, Present at the Telomeres of Human Chromosomes, Proc. Natl. Acad. Sci. U.S.A. 85 (1988), 6622-6626.
11. G.F. Webb, Theory of Nonlinear Age-Dependent Population Dynamics, Pure and Applied Mathematics Series 89 Marcel Dekker Inc., 1985.