Control from an allometric perspective

Advances in Experimental Medicine and Biology

Volumn 629, Issue , 2009, Pages 57-82

  West, Bruce J ^a  

^a U S ARMY RESEARCH OFFICE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOMETRY; BIOMECHANICS; BIOMEDICINE; CORRELATION ANALYSIS; FUNCTIONAL ASSESSMENT; HOMEOSTASIS; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; MOTOR CONTROL; NEGATIVE FEEDBACK; PHYSIOLOGY; PRIORITY JOURNAL; REGULATORY MECHANISM; REVIEW; STATISTICAL ANALYSIS; ARTICLE; BIOLOGICAL MODEL; FEEDBACK SYSTEM; FRACTAL ANALYSIS; HUMAN; STATISTICS; SYSTEMS BIOLOGY;

FEEDBACK, BIOCHEMICAL; FRACTALS; HOMEOSTASIS; HUMANS; MODELS, BIOLOGICAL; STOCHASTIC PROCESSES; SYSTEMS BIOLOGY;

EID: 61949222769     PISSN: 00652598     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-0-387-77064-2_4     Document Type: Review

References (33)

1. W. A. Altemeier, S. McKinney and R. W. Glenny, "Fractal nature of regional ventilation distribution", J. Appl. Physiol. 88, 1551-1557(2000). (Pubitemid 30336900)
2. G. I. Barenblatt, Scaling Phenomena in Fluid Mechanics, Cambridge University Press, Cambridge (1994).
3. J. B. Bassingthwaighte, L. S. Liebovitch and B. J. West, Fractal Physiology, Oxford University Press, New York (1994).
4. J. Beran, Statistics for Long-Memory Processes, Chapman & Hall, New York (1994).
5. R. G. Brown, Introduction to Random Signal Analysis and Kalman Filtering, Wiley & Sons, New York (1983).
6. * T. G. Buchman, "Physiologic Failure: Multiple Organ Dysfunction Syndrome" in Complex Systems in Science in BioMedicine, T. S. Deisboeck and S. A. Kauffman (eds.), Kluwer Academic-Plenum Publishers, New York (2006).
7. W. B. Cannon, The Wisdom of the Body, W. W. Norton & Co., New York (1932).
8. J. J. Collins and C. J. De Luca, "Random walking during quiet standing". Phys. Rev. Lett. 73, 764-767(1994). (Pubitemid 24976319)
9. * A. L. Goldberger, D. R. Rigney and B. J. West, "Chaos, fractals and physiology", Scientific American 262, 42-49(1990).
10. L. Griffin, D. J. West and B. J. West, "Random stride intervals with memory", J. Biol. Phys. 26, 185-202(2000). (Pubitemid 32299295)
11. J. M. Hausdorff, C. K. Peng, Z. Ladin, J. Y. Wei and A. L. Goldberger, "Is walking a random walk? Evidence for long-range correlations in stride interval of human gait", J. Appl. Physiol. 78, 349-358(1995).
12. J. S. Huxley, Problems of Relative Growth, Dial Press, New York (1931).
13. P. Ch. Ivanov, L. A. N. Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum, A. R. Struzik and H. E. Stanley, "Multifractality in human heartbeat dynamics", Nature 399, 461-465(1999). (Pubitemid 29258850)
14. V. Kobelev and E. Romanov, "Fractional Langevin equation to describe anomalous diffusion", Prog. Theor. Phys. Supp. 139, 470-476(2000).
15. R. L. Magin, "Fractional Calculus in Bioengineering, Part 3", Critical Reviews in Biomedical Engineering 32(3 & 4), 195-328(2004).
16. B. B. Mandelbrot, Fractals: form, chance and dimension, W. H. Freeman, San Francisco (1977).
17. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley, New York (1993).
18. * A. Mutch and G. R. Lefevre, "Health, 'Small-Worlds', Fractals and Complex Networks: An Emerging Field", Med Sci Monit 9, MT55-MT59 (2003).
19. T. F. Nonnenmacher and R. Metzler, "On the Riemann-Liouville fractional calculus and some recent applications", Fractals 3, 557(1995).
20. C. K. Peng, J. Mistus, J. M. Hausdorff, S. Havlin, H. E. Stanley and A. L. Goldberger, "Longrange anticorrelations and non-Gaussian behavior of the heartbeat", Phys. Rev. Lett. 70, 1343-1346(1993).
21. I. Podlubny, Fractional Differential Equations, Academic Press, San Diego (1999).
22. D. E. Reynolds, "Coarse graining and control theory model reduction", arXiv:cond:mat/0309116v1 (2003).
23. H. H. Szeto, P. Y. Cheng, J. A. Decena, Y. Chen, Y. Wu and G. Dwyer, "Fractal properties of fetal breathing dynamics", Am. J. Physiol. 262
24. (Regulatory Integrative Comp. Physiol. 32) R141-R147 (1992).
25. B. J. West, "Fractal physiology, complexity and the fractional calculus", in Fractals, Diffusion and Relaxation in Disordered ComplexSystems, Advances in Chemical Physics Series, Eds. W. T. Coffey and Y. P. Kalmykov, Wiley & Sons, New York (2006a).
26. B. J. West, Physiology, Promiscuity and Prophecy at the Millennium: A Tale of Tails, World Scienfic, Singapore (1999).
27. * B. J. West, Where Medicine Went Wrong, Rediscovering the Road to Complexity, World Scientific, Singapore (2006b).
28. * B. J. West and A. L. Goldberger, "Physiology in Fractal Dimensions", American Scientist 75, 354-364(1987).
29. B. J. West and L. Griffin., "Allometric control of human gait", Fractals 6, 101-108(1998).
30. B. J. West and L. Griffin, "Allometric control, inverse power laws and human gait", Chaos, Solitions & Fractals 10, 1519-1527(1999).
31. B. J. West, M. Bologna and P. Grigolini, Physics of Fractal Operators, Springer, New York (2003).
32. B. J. West, M. N. Novaes and V. Kavcic, "Fractal Probability Density and EEF/ERP Time Series", Chapter 10 in Fractal Geometry in Biological Systems, Eds. P. M. Iannoccone and M. Khokha, CRC, Boca Raton (1995).
33. B. J. West, R. Zhang, A. W. Sanders, J. H. Zuckerman and B. D. Levine, "Fractal Fluctuations in Cardiac Time Series", Phys. Rev. E 59, 3492(1999).