References

References#

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[2]

Ludwig Boltzmann. The second law of thermodynamics. Naturwissenschaftliche rundschau, 1(1):293–297, 1886. Translated and cited in later works on thermodynamics and biological processes. Original in German.

[3]

Alfred J Lotka. Contribution to the energetics of evolution. Proceedings of the National Academy of Sciences, 8(6):147–151, 1922.

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Anthony I Dell, Samraat Pawar, and Van M Savage. Systematic variation in the temperature dependence of physiological and ecological traits. Proceedings of the National Academy of Sciences, 108(26):10591–10596, 2011.

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J H Brown, J F Gillooly, A P Allen, V M Savage, and G B West. Toward a metabolic theory of ecology. Ecology, 85(7):1771–1789, 2004. doi:10.1890/03-9000.

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J. H. van 't Hoff. Études de dynamique chimique. Frederik Muller, Amsterdam, 1884.

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Svante Arrhenius. Über die reaktionsgeschwindigkeit bei der inversion von rohrzucker durch säuren. Zeitschrift für Physikalische Chemie, 4(1):226–248, 1889. doi:10.1515/zpch-1889-0416.

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Kenneth A. Johnson and Roger S. Goody. The original michaelis constant: translation of the 1913 michaelis–menten paper. Biochemistry, 50(39):8264–8269, 2011. doi:10.1021/bi201284u.

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Henry Eyring. The activated complex in chemical reactions. The Journal of Chemical Physics, 3(2):107–115, 1935. doi:10.1063/1.1749604.

[11]

M. Polanyi. Unknown title (please verify). Z. Phys. Chem. B, 28:309–318, 1935. Exact article title not found in open metadata during lookup; please verify from the journal issue/table of contents and add title (and DOI if present).

[12]

David A. Ratkowsky, John Olley, Thomas A. McMeekin, and Andrew Ball. Relationship between temperature and growth rate of bacterial cultures. Journal of Bacteriology, 1982.

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Moselio Schaechter, Ole Maaløe, and Niels O. Kjeldgaard. Dependency on medium and temperature of cell size and chemical composition during balanced growth of Salmonella typhimurium. Journal of General Microbiology, 19:592–606, 1958.

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Moselio Schaechter, Ole Maaløe, and Niels O. Kjeldgaard. Balanced growth of Salmonella typhimurium: effects of medium and temperature on cell size and composition. 1962. Often cited alongside Schaechter et al. (1958). Please verify exact publication venue/pages for the 1962 follow-up and update this entry if needed.

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Geoffrey B. West, James H. Brown, and Brian J. Enquist. A general model for the origin of allometric scaling laws in biology. Science, 276(5309):122–126, 1997. doi:10.1126/science.276.5309.122.

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Pierre-François Verhulst. Notice sur la loi que la population poursuit dans son accroissement. Correspondance Mathématique et Physique, 10:113–121, 1838.

[17]

Robert M. May. Simple mathematical models with very complicated dynamics. Nature, 261:459–467, 1976. doi:10.1038/261459a0.

[18]

Mitchell J. Feigenbaum. Quantitative universality for a class of nonlinear transformations. Journal of Statistical Physics, 19(1):25–52, 1978. doi:10.1007/BF01020332.

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P. H. Leslie. On the use of matrices in certain population mathematics. Biometrika, 33(3):183–212, 1945. doi:10.1093/biomet/33.3.183.

[20]

Hal Caswell. Matrix Population Models: Construction, Analysis, and Interpretation. Sinauer Associates, 2 edition, 2001.

[21]

richard Levins. Evolution in changing environments. Monographs in Population Biology. Princeton University Press, Princeton, NJ, August 1968.

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Robert Marsland, Wentao Cui, and Pankaj Mehta. The available energy fluxes drive the self-organization of microbial communities. PLOS Computational Biology, 15(2):e1006793, 2019. doi:10.1371/journal.pcbi.1006793.

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Joshua E. Goldford, Nan Lu, Dusan Bajić, Sylvie Estrela, Mikhail Tikhonov, Alberto Sanchez-Gorostiaga, Daniel Segre, Pankaj Mehta, and Alvaro Sanchez. Emergent simplicity in microbial community assembly. Science, 361(6401):469–474, 2018. doi:10.1126/science.aat1168.

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Aaron Novick and Leo Szilard. Description of the chemostat. Science, 112(2920):715–716, 1950. doi:10.1126/science.112.2920.715.

[25]

Jacques Monod. The growth of bacterial cultures. Annual Review of Microbiology, 3:371–394, 1949. doi:10.1146/annurev.mi.03.100149.002103.

[26]

Alfred J. Lotka. Elements of Physical Biology. Williams & Wilkins, 1925.

[27]

Vito Volterra. Variations and fluctuations of the number of individuals in animal species living together. 1926. Classic foundational work on predator–prey dynamics; widely cited in later translations/reprints.

[28]

Robert M. May. Stability and Complexity in Model Ecosystems. Princeton University Press, 1973.

[29]

Timothy J. Case. An Illustrated Guide to Theoretical Ecology. Oxford University Press, 2000.

[30]

Mark Kot. Elements of Mathematical Ecology. Cambridge University Press, 2001.

[31]

Steven H. Strogatz. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Addison-Wesley, 1994.

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Morris W. Hirsch, Stephen Smale, and Robert L. Devaney. Differential Equations, Dynamical Systems, and an Introduction to Chaos. Academic Press, 2012.

[33]

Robert M. May. Thresholds and breakpoints in ecosystems with a multiplicity of stable states. Nature, 1977.

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Marten Scheffer, Stephen Carpenter, Jonathan A. Foley, Carl Folke, and Brian Walker. Catastrophic shifts in ecosystems. Nature, 2001.

[35]

Marten Scheffer. Critical Transitions in Nature and Society. Princeton University Press, 2009.

[36]

Yuri A. Kuznetsov. Elements of Applied Bifurcation Theory. Springer, 2004.

[37]

C. S. Holling. The components of predation as revealed by a study of small-mammal predation of the European pine sawfly. The Canadian Entomologist, 91(5):293–320, 1959. doi:10.4039/Ent91293-5.

[38]

Michael L. Rosenzweig and Robert H. MacArthur. Graphical representation and stability conditions of predator–prey interactions. The American Naturalist, 97(895):209–223, 1963. doi:10.1086/282272.

[39]

Michael L. Rosenzweig. Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science, 171(3969):385–387, 1971. doi:10.1126/science.171.3969.385.

[40]

W. O. Kermack and A. G. McKendrick. A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society of London. Series A, 115(772):700–721, 1927. doi:10.1098/rspa.1927.0118.

[41]

Roy M. Anderson and Robert M. May. Infectious Diseases of Humans: Dynamics and Control. Oxford University Press, 1991.

[42]

Matt J. Keeling and Pejman Rohani. Modeling Infectious Diseases in Humans and Animals. Princeton University Press, 2008.

[43]

David J. D. Earn, Pejman Rohani, Benjamin M. Bolker, and Bryan T. Grenfell. A simple model for complex dynamical transitions in epidemics. Science, 287(5453):667–670, 2000. doi:10.1126/science.287.5453.667.

[44]

Olga Krylova and David J. D. Earn. Effects of the infectious period distribution on predicted transitions in childhood disease dynamics. Journal of the Royal Society Interface, 10(84):20130098, 2013. doi:10.1098/rsif.2013.0098.