Does dormancy increase fitness of bacterial populations in time-varying environments?

Bulletin of Mathematical Biology

Volumn 70, Issue 4, 2008, Pages 1140-1162

  Malik, Tufail ^a   Smith, Hal L ^b  

^a MOUNT ALLISON UNIVERSITY   (Canada)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Dormancy; Fitness; Floquet multipliers; Lyapunov exponent; Quiescence; Random Perron Frobenius theorem

Indexed keywords

ARTICLE; BACTERIAL PHENOMENA AND FUNCTIONS; BACTERIUM; BIOLOGICAL MODEL; CYTOLOGY; ENVIRONMENT; GROWTH, DEVELOPMENT AND AGING; MATHEMATICS; PERIODICITY; STATISTICAL MODEL; STATISTICS;

BACTERIA; BACTERIAL PHYSIOLOGY; ENVIRONMENT; LINEAR MODELS; MATHEMATICS; MODELS, BIOLOGICAL; PERIODICITY; STOCHASTIC PROCESSES;

BACTERIA (MICROORGANISMS);

EID: 43349085453     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-008-9294-5     Document Type: Article

References (18)

1. Arnold, L., 1998. Random Dynamical Systems. Springer, Berlin.
2. Arnold, L., Gundlach, V.M., Demetrius, L., 1994. Evolutionary formalism for products of positive random matrices. Ann. Appl. Probab. 4(3), 859-901.
3. Balaban, N.Q., Merrin, J., Chait, R., Kowalik, L., Leibler, S., 2004. Bacterial persistence as a phenotypic switch. Science 305, 1622-1625.
4. Bär, M., von Hardenberg, J., Meron, E., Provenzale, A., 2002. Modelling the survival of bacteria in drylands: the advantage of being dormant. Proc. Roy. Soc. Lond. B 269, 937-942.
5. Berman, A., Plemmons, R., 1979. Nonnegative Matrices in the Mathematical Sciences. Academic, New York.
6. Berman, A., Neumann, M., Stern, R., 1989. Nonnegative Matrices in Dynamical Systems. Wiley, New York.
7. Durrett, R., 1991. Probability: Theory and Examples. Brooks/Cole.
8. Elaydi, S., 2005. An Introduction to Difference Equations, 3rd edn. Springer, New York.
9. Grasman, J., 1987. Asymptotic Methods for Relaxation Oscillations and Application, Applied Math. Sci., vol. 63. Springer, New York.
10. Hadeler, K.P., Hillen, T., 2006. Coupled dynamics and quiescent phases. In: Math Everywhere-Deterministic and Stochastic Modelling in Biomedicine, Economy and Industry, Proc. Conf. Milano, 2005. Springer, Berlin.
11. Hennion, H., 1997. Limit theorems for products of positive random matrices. Ann. Probab. 25, 1545-1587.
12. Kaprelyants, A., Gottschal, J.C., Kell, D., 1993. Dormancy in non-sporulating bacteria. FEMS Microbiol. Rev. 271-286
13. Kell, D.B., S Kaprelyants, A., Weichart, D.H., Harwood, C.R., Barer, M.R., 1998. Viability and activity in readily culturable bacteria: a review and discussion of the practical issues. A. van Leeuwenhoek 73, 169-187.
14. Kussell, E., Leibler, S., 2005. Phenotypic diversity, population growth, and information in fluctuating environments. Science 309, 2075-2078.
15. Kussell, E., Kishony, R., Balaban, N.Q., Leibler, S., 2005. Bacterial persistence: a model of survival in changing environments. Genetics 169, 1807-1814.
16. Malik, T., Smith, H.L., 2006. A resource-based model of microbial quiescence. J. Math. Biol. 53(2), 231-252.
17. Seneta, E., 1973. Non-negative Matrices. Wiley, New York.
18. Thieme, H.R., 2003. Mathematics in Population Biology. Princeton University Press, Princeton.