메뉴 건너뛰기




Volumn 309, Issue 5743, 2005, Pages 2075-2078

Ecology: Phenotypic diversity, population growth, and information in fluctuating environments

Author keywords

[No Author keywords available]

Indexed keywords

BIODIVERSITY; ENVIRONMENTAL ENGINEERING; POPULATION STATISTICS; RANDOM PROCESSES;

EID: 25444489027     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.1114383     Document Type: Article
Times cited : (1138)

References (38)
  • 10
    • 25444434513 scopus 로고    scopus 로고
    • note
    • Whereas current experiments have not detected any direct sensing in the case of E. coli persistence, further experiments are needed to completely rule out the possibility of more subtle effects, such as the dependence of switching rates on the presence of antibiotics. Direct sensing of the environment might be involved in some of the known mechanisms that are thought to be purely stochastic, and in general, we may expect to find mixtures of stochastic switching and sensing mechanisms.
  • 11
    • 0001151494 scopus 로고
    • P. H. Harvey, L. Partridge, Eds. (Oxford Univ. Press, Oxford)
    • J. Seger, H. J. Brockmann, in Oxford Surveys in Evolutionary Biology, P. H. Harvey, L. Partridge, Eds. (Oxford Univ. Press, Oxford, 1987), vol. 4, pp. 182-211.
    • (1987) Oxford Surveys in Evolutionary Biology , vol.4 , pp. 182-211
    • Seger, J.1    Brockmann, H.J.2
  • 19
    • 25444492139 scopus 로고    scopus 로고
    • note
    • Here populations are taken to be large enough that deterministic dynamics of x(t) can be assumed. Stochastic dynamics of small populations are discussed briefly in (25).
  • 23
    • 25444467607 scopus 로고    scopus 로고
    • note
    • For small switching rates, the delay times can very roughly be thought of as the time for phenotype i to sweep through the population and replace phenotype j as the dominating type. For large switching rates, this is not the case, because the population can be a mixture of multiple phenotypes having comparable numbers of individuals.
  • 24
    • 25444439684 scopus 로고    scopus 로고
    • note
    • ij* then gives Λ.
  • 25
    • 25444448363 scopus 로고    scopus 로고
    • note
    • Details of our calculation, the approximations used, and numerical computations are available as supporting material on Science Online.
  • 26
    • 25444503125 scopus 로고    scopus 로고
    • note
    • ij are small (25).
  • 27
    • 25444506728 scopus 로고    scopus 로고
    • note
    • In certain cases, not switching at all, i.e., remaining in a single phenotype at all times, is better than switching phenotype. This can be the case, for example, when environments change very rapidly. When environments last sufficiently long, the solution given in the text is the optimum.
  • 29
    • 25444501970 scopus 로고    scopus 로고
    • note
    • The notion of entropy was used previously in population biology as an empirical measure of population diversity, and in the context of age-structured populations as a tool for solving the dynamic equation (36. 37). Demetrius observed that several properties of the stable age distribution are determined by an entropy defined on population genealogies.
  • 30
    • 25444487354 scopus 로고    scopus 로고
    • note
    • A similar result is seen in certain types of gambling (28), e.g., horse races and stock markets, where the gambler must decide how much money to bet on each possible outcome.
  • 34
    • 25444524157 scopus 로고    scopus 로고
    • note
    • Many sensing systems exist in microorganisms such as those involved in chemotaxis (31), the lac operon (32), and onset of stationary phase. In these examples and others, the environmental cue that is sensed occurs often, on the order of tens of generations or less, and our model predicts that sensing is advantageous. For bacterial persistence, experiments suggest that direct sensing might be absent (9). The appearance of antibiotic may be a relatively rare event in the natural habitats of E. coli (although direct evidence is scarce), in which case our model favors stochastic switching (33).
  • 35
    • 25444488388 scopus 로고    scopus 로고
    • note
    • j) occurs (25).
  • 38
    • 25444457630 scopus 로고    scopus 로고
    • note
    • We would like to thank G. Ben Arous, N. Balaban, R. Kishony, C. Bargmann, J. McKinney, L. Keller, R. Losick, A. Murray, A. Grosberg, J. Merrin, and O. Ahmed for discussions. We particularly thank G. Ben Arous and C. Bargmann for their encouragements and many detailed comments about the manuscript E.K. thanks the Alfred P. Sloan Foundation for financial support.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.