Mathematical modelling of mutant accumulation kinetics in a cloned viral population

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 19, Issue 4, 2004, Pages 293-304

  Novoselov, A V ^a   Lozhnikov, A B ^b   Chereshnev, V A ^c   Sergeev, A G ^d   Kim, A V ^b   Gusev, E Yu ^c   Pimenov, V G ^e  

^a Autonomous Noncomml Organization   (Russian Federation)

^b INSTITUTE OF MATHEMATICS AND MECHANICS   (Russian Federation)

^c INSTITUTE OF IMMUNOLOGY AND PHYSIOLOGY   (Russian Federation)

^d URAL STATE MEDICAL UNIVERSITY   (Russian Federation)

^e URAL FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CELLS; DYNAMICS; LINEAR EQUATIONS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PROBABILITY; RNA; VIRUSES;

CLONED VIRAL POPULATION; MUTANT FREQUENCY; PICORNAVIRIDAE FAMILY; RNA GENOMES;

CLONING;

EID: 4043146495     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1163/1569398041974950     Document Type: Article

References (18)

1. Atlas of Viral Cytopathology (Ed. V. M. Zhdanov). Meditsina, Moscow, 1975 (in Russian).
2. J. C. de la Torre, C. Giachetti, B. L. Semler, and J. J. Holland, High frequency of single-base transitions and extreme frequency of precise multiple-base reversion mutations in poliovirus. Proc. Natl. Acad. Sci. USA (1992) 89, No. 7, 2531-2535.
3. E. Domingo and J. J. Holland, High error rates, population equilibrium and evolution of RNA replication systems. In: RNA Genetics, Vol. III. Variability of RNA Genomes (Eds. E. Domingo, J. J. Holland, and P. Ahlquist). CRC Press Inc., Boca Raton, Florida, 1988, pp. 3-36.
4. J. W. Drake, The Molecular Basis of Mutation. Holden Day Inc., San Francisco, 1970, pp. 43-49.
5. J. W. Drake and J. J. Holland, Mutation rates among RNA viruses. Proc. Natl. Acad. Sci. USA (1999) 96, No. 24, 13910-13913.
6. M. Eigen, Self-organization of matter and the evolution of biological macromolecules. Natur-wissenschaften (1971) 58, No. 10, 465-523.
7. M. Eigen and C. K. Biebricher, Sequence space and quasispecies distribution. In: RNA Genetics, Vol.III. Variability of RNA Genomes (Eds. E. Domingo, J. J. Holland, and P. Ahlquist). CRC Press Inc., Boca Raton, Florida, 1988, pp. 211-245.
8. M. Eigen and P. Shuster, The hypercycle. A principle of natural self-organization. Naturwissenschaften (1977) 64, No. 11, 541-565.
9. S. Kuge, N. Kawamura, and A. Nomoto, Strong inclination toward transition mutation in nucleotide substitutions by poliovirus replicase. J. Mol. Biol. (1989) 207, No. 1, 175-182.
10. B. Lewin, Genes. J. Willey&Sons, Inc., New York-Chichester-Brisbane- Toronto-Singapore, 1985.
11. A. V. Novoselov and A. G. Sergeev, The mutant frequency as an operational criterion for the estimate of molecular alterations in viral RNA genome. Sverdlovsk State Medical Institute. Ekaterinburg, 1992. Deposited in VINITI 19.03.92, No. 929-B92 (in Russian).
12. J. D. Parvin, A. Moscona, W. T. Pan, J. M. Leider, and P. Palese, Measurement of the mutation rates of animal viruses: influenza A virus and poliovirus type I. J. Virol. (1986) 59, No. 2, 377-383.
13. Yu. M. Romanovskii, N.V. Stepanova, and D. S. Chernavskii, Mathematical Biophysics. Nauka, Moscow, 1984 (in Russian).
14. J. M. Sedivy, J. P. Capone, U. L. RajBhandary, and P. A. Sharp, An inducible mammalian amber-suppressor: propagation of a poliovirus mutant. Cell (1987) 50, No. 3, 373-389.
15. A. G. Sergeev, A. V. Novoselov, A. V. Bubenschikov, and Z. N. Kondrashova, Genetic analysis of echovirus 11 variability in adsorption to human erythrocytes. Arch. Virol. (1994) 134, No. 1-2, 129-139.
16. P. Shuster, Landscapes and molecular evolution. Physica D. (1997), No. 107, 351-365.
17. P. Shuster and W. Fontana, Chance and necessity in evolution: lessons from RNA. Physica D. (1999), No. 133, 427-452.
18. R. Y. Stanier, E. A. Adelberg, and J. L. Ingraham, The Microbial World. Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1976.