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| == Week Four == | | == Week Four == |
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| I recommend that all students look through the first
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| couple of chapters of Reading 2. Otherwise, the students
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| should choose to read from among these based on what
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| their interests and backgrounds are.
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|
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| GENERAL LITERATURE ON BIOLOGICAL SCALING;
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|
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| 0. In the Beat of a Heart by John Whitfield
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| (A recent popular science book about the
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| history of and work on scaling relationships
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| in biology.)
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|
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| 1. Chapters 2 and 3 of On Growth and Form by D'arcy Thompson
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| (This is a seminal text for all mathematical biology.)
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|
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| 2. Scaling: Why is Animal Size so Important by Knut Schmidt-Nielsen
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| (This is an extremely clear and fairly succinct explanation of scaling in biology
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| up to the 1980's. This book focuses on physiology.)
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|
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| 3. The Ecological Implications of Body Size by R.H. Peters
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| (This book discusses how scaling relationships are useful
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| in ecology, and it has an incredibly useful set of appendices
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| for scaling relationships.)
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|
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| 4. Size, Function, and Life History by W.A. Calder
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| (Another good book on scaling and ecology.)
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|
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| 5. Scaling in Biology (SFI book), edited by J.H. Brown and G.B. West
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| (This book is a collection of articles by the leaders in the field,
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| and updates the literature in the scaling field, including numerous
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| theoretical advances of great importance.)
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|
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| PAPERS FOR ORIGINS OF SCALING LAWS:
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|
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| 6. "A General Model for the Origin of Allometric
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| Scaling Laws in Biology", G.B. West, J.H. Brown, and B.J. Enquist
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| 1997, Science (276) 122-126.
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| (This paper is a classic and puts forward the leading theory
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| for an explanation of scaling relationships in biology. The authors use a few simple
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| assumptions about the structure and function of the cardiovascular
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| system to construct the most powerfully predictive theory to date.)
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|
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| 7. V. M. Savage and G. B. West (2006). Biological scaling and physiological time:
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| Biomedical applications. in Complex System Science in Biomedicine. Ed. T. S. Deisboeck
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| and J. Y. Kresh, New York, Kluwer Academic.
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| (The first part of this book chapter gives a more detailed account of the assumptions and
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| derivations listed in Reading 6, and it also explains how biological rates and times depend
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| on body temperature. This book contains several chapters by SFI faculty and alums and
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| should provide interesting reading to those interested in the health sciences or an introduction
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| to complex systems.)
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|
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| PAPERS ON APPLYING SCALING RELATIONSHIPS TO ECOLOGY:
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|
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| 8. J. H. Brown, J. F. Gillooly, A. P. Allen, V. M. Savage, and G. B. West. (2004) Toward a metabolic theory of ecology (MacArthur award paper,), Ecology 85(7), 1771-1789.
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| (This paper lays out a modern approach to applying scaling relationships to ecological
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| systems.)
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|
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| 9. V. M. Savage, J. F. Gillooly, J. H. Brown, G. B. West, and E. L. Charnov, (2004). Effects of
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| body size and temperature on population growth, The American Naturalist 163(3), 429-441.
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| (This paper gives one of the first examples of explicitly building up from scaling relationships
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| in individuals to those for populations.)
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|
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| 10. "Size and Scaling of Predator-Prey Dynamics" J Weitz and SA Levin
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| Ecol. Lett. 2006, (9) 548-557.
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| (This paper represents one of the first attempts to combine scaling relationships
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| for body body mass with species interactions.)
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|
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| 11. "A Mechanistic Approach for Modeling Temperature-Dependent Consumer
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| Resource Dynamics", DA Vasseur and KS McCann AmNat 2005, (166) 184-198.
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| (This paper look at species interactions and how they are affected by temperature,
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| with possible implications for how global warming may affect biological systems.)
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|
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| PAPERS APPLYING SCALING RELATIONSHIPS TO TISSUE- AND CELLULAR-LEVEL:
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|
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| 12. V. M. Savage and G. B. West, Towards a quantitative, metabolic theory of mammalian
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| sleep, (2007) PNAS 104(3), 1051-1056.
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| (This paper uses scaling relationships as a tool to better understand the function of sleep and
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| whether it is a process for the brain or the whole body.)
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|
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| 13. V. M. Savage, A.P. Allen, J. F. Gillooly, A. B. Herman, J. H. Brown, and G. B. West, (2007)
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| Scaling of number, size, and metabolic rate of cells with body size in mammals,
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| PNAS, 104(11), 4718-4713.
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| (This paper grapples with what the scaling relationships imply at the cellular level,
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| and how that might impact our understanding of cellular studies and phenomena.)
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|
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| BOOKS ON POWER LAWS, FRACTALS, NON-LINEAR DYNAMICS, ETC.:
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|
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| 14. Fractals, Chaos, and Power Laws by Manfred Schroeder
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| (A good and playful introduction to these subjects.)
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|
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| 15. Nonlinear Dynamics and Chaos by Steven Strogatz
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| (An extremely well written introduction to these subjects.)
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