Power laws of complex systems from extreme physical information

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 3, 2005, Pages

  Frieden, B Roy ^a   Gatenby, Robert A ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL ALLOMETRY; EXTREMIZATION; FISHER INFORMATION; PHYSICAL INFORMATION;

DNA; IONS; POPULATION STATISTICS; POWER CONTROL; STOCHASTIC PROGRAMMING; THEOREM PROVING;

LARGE SCALE SYSTEMS;

ALGORITHM; ANIMAL; BIOLOGICAL MODEL; CELL FUNCTION; COMPUTER SIMULATION; EVOLUTION; HUMAN; POPULATION DYNAMICS; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION; STATISTICAL MODEL;

ALGORITHMS; ANIMALS; BIOLOGICAL EVOLUTION; CELL PHYSIOLOGICAL PHENOMENA; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; HUMANS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; POPULATION DYNAMICS; STATISTICAL DISTRIBUTIONS;

EID: 28844507949     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.036101     Document Type: Article

References (35)

1. R. A. Fisher, Statistical Methods and Scientific Inference, 2nd ed. (Oliver & Boyd, London, 1959).
2. A. Stuart and J. K. Ord, Kendall's Advanced Theory of Statistics, 5th ed. (Edward Arnold, London, 1991), Vol. 2.
3. B. R. Frieden and B. H. Soffer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.2274 52, 2274 (1995).
4. B. R. Frieden, Physics from Fisher Information (Cambridge Univ., Cambridge, UK, 1998);
5. B. R. Frieden, Science from Fisher Information, 2nd ed. (Cambridge Univ. Press, Cambridge, UK, 2004).
6. Scale Invariance, Interfaces and Non-Equilibrium Dynamics, edited by, A. McKane, M. Droz, J. Vannimenus, and, D. Wolf, (Plenum, New York, 1995)
7. W. J. Jungers, Size and Scaling in Primate Biology (Plenum Press, New York, 1985)
8. T. Nishikawa, A. E. Motter, Y.-C. Lai, and F. C. Hoppensteadt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.014101 91, 014101 (2003).
9. G. B. West, J. H. Brown, and B. J. Enquist, Science SCIEAS 0036-8075 10.1126/science.276.5309.122 276, 122 (1997);
10. B. J. Enquist and K. J. Niklas, Nature (London) NATUAS 0028-0836 10.1038/35070500 410, 655 (2001).
11. See the highly interesting article "Life's Universal Scaling Laws" by G. B. West and J. H. Brown in Phys. Today PHTOAD 0031-9228 10.1063/1.1801865 57 (9), 36 (2004), and its references.
12. T. A. McMahon and J. T. Bonner, On Size and Life (Scientific American Library, New York, 1983)
13. K. Schmidt-Nielsen, Scaling: Why is Animal Size so Important? (Cambridge University Press, Cambridge, UK, 1984).
14. W. A. Calder, Size, Function and Life History (Harvard University Press, Cambridge, MA, 1984).
15. M. J. Reiss, The Allometry of Growth and Reproduction (Cambridge University Press, Cambridge, UK, 1989).
16. J. T. Bonner, Size and Cycle (Princeton University Press, Princeton, NJ, 1965).
17. W. A. Calder, J. Theor. Biol. JTBIAP 0022-5193 100, 275 (1983).
18. J. Damuth, Nature (London) NATUAS 0028-0836 10.1038/290699a0 290, 699 (1981).
19. T. Fenchel, Oecologia OECOBX 0029-8549 14, 317-326 (1974).
20. B. R. Frieden and R. J. Hughes, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.2644 49, 2644 (1994).
21. B. Nikolov and B. R. Frieden, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.4815 49, 4815 (1994).
22. A. R. Plastino and A. Plastino, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.4423 54, 4423 (1996).
23. B. R. Frieden and W. J. Cocke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.257 54, 257 (1996).
24. B. R. Frieden, A. Plastino, A. R. Plastino, and B. H. Soffer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.48 60, 48 (1999).
25. B. R. Frieden, A. Plastino, and B. H. Soffer, J. Theor. Biol. JTBIAP 0022-5193 10.1006/jtbi.2000.2199 208, 49 (2001).
26. R. A. Gatenby and B. R. Frieden, Cancer Res. CNREA8 0008-5472 62, 3675 (2002).
27. R. J. Hawkins and B. R. Frieden, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2003.12.054 322, 126 (2004).
28. P. M. Binder, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.R3303 61, R3303 (2000).
29. R. Badii and A. Politi, Complexity: Hierarchical Structure and Scaling in Physics (Cambridge University Press, Cambridge, UK, 1997).
30. S. Luo, Found. Phys. FNDPA4 0015-9018 32, 757 (2002).
31. S. Luo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.180403 91, 180403 (2003).
32. B. R. Frieden, Probability, Statistical Optics and Data Testing, 3rd ed. (Springer-Verlag, New York, 2001).
33. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, 2nd ed. (McGraw-Hill, New York, 1968).
34. R. V. Churchill, Fourier Series and Boundary Value Problems (McGraw-Hill, New York, 1941), particularly pp. 114-118.
35. R. A. Gatenby and B. R. Frieden, Math. Biosci. MABIAR 0025-5564 2, 43 (2005).