Finding simplicity in complexity: General principles of biological and nonbiological organization

Journal of Biological Physics

Volumn 35, Issue 3, 2009, Pages 209-221

  Perez Velazquez, Jose L ^a  

^a HOSPITAL FOR SICK CHILDREN   (Canada)

Author keywords

Brain; Complexity; Evolution; Fluctuations; Information; Rhythms; Synchronization

Indexed keywords

BRAIN FUNCTION; CHEMICAL REACTION; DENDRITE; DIFFUSION; ENERGY; ENERGY TRANSFER; EVOLUTION; MOLECULAR BIOLOGY; NERVE CELL; NERVE FIBER; NOISE; PHYLOGENY; PRIORITY JOURNAL; REVIEW; SYNAPTIC MEMBRANE;

EID: 68749115069     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10867-009-9146-z     Document Type: Review

References (65)

1. Kaneko, K.: Life: An Introduction to Complex Systems Biology. Springer, Berlin (2006)
2. G Laurent 2000 What does 'understanding' mean? Nat. Neurosci. 3 1211 10.1038/81495
3. Rosen, R.: Life Itself: A Comprehensive Inquiry into the Nature, Origin, and Fabrication of Life. Columbia University Press, New York (1991)
4. N Rashevsky 1958 A contribution to the search of general mathematical principles in biology Bull. Math. Biophys. 20 71 92 10.1007/BF02476561
5. Kelso, J.A.S., Engstrøm, D.A.: The Complementary Nature. MIT Press, Cambridge (2006)
6. Kelso, J.A.S., Tognoli, E.: Toward a complementary neuroscience: metastable coordination dynamics of the brain. In: Perlovsky, L.I., Kozma, R. (eds.) Neurodynamics of Cognition and Consciousness. Springer, Berlin (2007)
7. C Cherniak 1992 Local optimization of neuron arbors Biol. Cybern. 66 503 510 10.1007/BF00204115
8. K Paik P Kumar 2008 Emergence of self-similar tree network organization Complexity 13 30 37 10.1002/cplx.20214
9. Nicolis, G., Prigogine, I.: Self-organization in Non-equilibrium Systems. Wiley, New York (1977)
10. AM Turing 1952 The chemical basis of morphogenesis Philos. Trans. R. Soc. B. 237 37 72 10.1098/rstb.1952.0012
11. D Sornette Y-C Zhang 1993 Non-linear Langevin models of geomorphic erosion processes Geophys. J. Int. 113 382 386 10.1111/j.1365-246X.1993.tb00894. x
12. Ramon y Cajal, S.: Degeneracion y Regeneracion del Sistema Nervioso. Moya, Madrid (1913-1914)
13. Purves, D., Lichtman, J.: Principles of Neural Development. Sinauer, Sunderland (1985)
14. MC Cross PC Hohenberg 1993 Pattern formation outside of equilibrium Rev. Mod. Phys. 65 851 1112 10.1103/RevModPhys.65.851
15. MG Velarde VI Nekorkin VB Kazantsev J Ross 1997 The emergence of form by replication Proc. Natl. Acad. Sci. U. S. A. 94 5024 5027 10.1073/pnas.94.10.5024 (Pubitemid 27214729)
16. HJ Schlichting V Nordmeier 1996 Strukturen im Sand-Kollektives Verhalten und Selbstorganisation bei Granulaten Math Naturwissenschaften 49 323 332
17. T Shinbrot FJ Muzzio 2001 Noise to order Nature 410 251 258 10.1038/35065689 (Pubitemid 32216603)
18. Darwin, C.: On the Origin of Species by Means of Natural Selection. John Murray, London (1859)
19. Amari, S., Arbib, M.A.: Competition and cooperation in neural nets. In: Metzler, J. (ed.) Systems Neuroscience. Academic, New York (1977)
20. Baron, R.J.: The Cerebral Computer. Lawrence Erlbaum, New Jersey (1987)
21. M Okun I Lampl 2008 Instantaneous correlation of excitation and inhibition during ongoing and sensory-evoked activities Nat. Neurosci. 11 535 537 10.1038/nn.2105 (Pubitemid 351595199)
22. SR Olsen RI Wilson 2008 Lateral presynaptic inhibition mediates gain control in an olfactory circuit Nature 452 956 960 10.1038/nature06864 (Pubitemid 351589620)
23. M Rabinovich A Volkovskii P Lecanda R Huerta HDI Abarbanel G Laurent 2001 Dynamical encoding by networks of competing neuron groups: winnerless competition Phys. Rev. Lett. 87 068102 10.1103/PhysRevLett.87.068102
24. P Fries 2005 A mechanism for cognitive dynamics: neuronal communication through neuronal coherence Trends Cogn. Sci. 9 474 480 10.1016/j.tics.2005.08. 011 (Pubitemid 41338822)
25. M Castelo-Branco S Neuenschwander W Singer 1998 Synchronization of visual responses between the cortex, lateral geniculate nucleus, and retina in the anesthetized cat J. Neurosci. 18 6395 6410
26. KD Harris 2005 Neural signatures of cell assembly organization Nat. Rev. Neurosci. 6 399 407 10.1038/nrn1669
27. JL Perez Velazquez 2005 Brain, behaviour and mathematics: are we using the right approaches? Physica D 212 161 182 10.1016/j.physd.2005.10.005
28. Perez Velazquez, J.L., Wennberg, R. (eds.): Coordinated Activity in the Brain: Measurements and Relevance to Brain Function and Behaviour. Springer, New York (2009)
29. Maynard Smith, J., Szathmary, E.: The Major Transitions in Evolution. Freeman, Oxford (1995)
30. MT Wilson ML Steyn-Ross DA Steyn-Ross JW Sleigh 2007 Going beyond a mean-field model for the learning cortex: second-order statistics J. Biol. Phys. 33 213 246 10.1007/s10867-008-9056-5
31. AC Newell PD Shipman Z Sun 2008 Phyllotaxis: cooperation and competition between mechanical and biochemical processes J. Theor. Biol. 251 421 439 10.1016/j.jtbi.2007.11.036
32. M Plucinski S Plucinski I Rodriguez Iturbe 2008 Consequences of the fractal architecture of trees on their structural measures J. Theor. Biol. 251 82 92 10.1016/j.jtbi.2007.10.042
33. J Pantaleone A Toth D Horvath J Rother McMahan R Smith D Butki J Braden E Mathews H Geri J Maselko 2008 Oscillations of a chemical garden Phys. Rev. E 77 046207 10.1103/PhysRevE.77.046207
34. P Langer MA Nowak C Hauert 2008 Spatial invasion of cooperation J. Theor. Biol. 250 634 641 10.1016/j.jtbi.2007.11.002
35. GA Chauvet 1993 Non-locality in biological systems results from hierarchy J. Math. Biol. 31 475 486
36. GA Chauvet 1993 An n-level field theory of biological networks J. Math. Biol. 31 771 795 10.1007/BF00168045
37. GA Chauvet 1993 Hierarchical functional organization of formal biological systems: a dynamical approach. II. The concept of non-symmetry leads to a criterion of evolution deduced from an optimum principle of the (O-FBS) sub-system Philos. Trans. R. Soc. Lond. B 339 445 461 10.1098/rstb.1993.0041
38. Standish, R.K.: Concept and definition of complexity. ArXiv:0805.0685v1 [nlin.AO] (2008). http://arxiv.org/abs/0805.0685
39. Quastler, H.: Information Theory in Biology. University of Illinois Press, Urbana (1953)
40. HJ Morowitz 1955 Some order-disorder considerations in living systems Bull. Math. Biophys. 17 81 86 10.1007/BF02477985
41. N Rashevsky 1955 Life, information theory, and topology Bull. Math. Biophys. 17 229 235 10.1007/BF02477860
42. M Gell-Mann S Lloyd 1996 Information measures, effective complexity, and total information Complexity 2 44 52 10.1002/(SICI)1099-0526(199609/10)2: 1<44::AID-CPLX10>3.0.CO;2-X
43. von Foerster, H.: Notes on an epistemology for living things. In: Understanding Understanding. Essays on Cybernetics and Cognition. Springer, New York (2003)
44. Morowitz, H.J.: Energy Flow in Biology. Academic, New York (1968)
45. HJ Morowitz E Smith 2007 Energy flow and the organization of life Complexity 13 51 59 10.1002/cplx.20191 (Pubitemid 350106929)
46. E Smith 2008 Thermodynamics of natural selection I: energy flow and the limits on organization J. Theor. Biol. 252 185 197 10.1016/j.jtbi.2008.02.010
47. E Smith 2005 Thermodynamic dual structure of linearly dissipative driven systems Phys. Rev. E 72 36130 10.1103/PhysRevE.72.036130
48. E Ben-Jacob H Levine 2001 The artistry of nature Nature 409 985 986 10.1038/35059178 (Pubitemid 32204033)
49. Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge (2001)
50. HJ Morowitz 1966 Physical background of cycles in biological systems J. Theor. Biol. 13 60 62 10.1016/0022-5193(66)90007-5
51. M Lavrentovich S Hemkin 2008 A mathematical model of spontaneous calcium(II) oscillations in astrocytes J. Theor. Biol. 251 553 560 10.1016/j.jtbi.2007.12.011
52. ET Jaynes 1957 Information theory and statistical mechanics Phys. Rev. 106 620 630 10.1103/PhysRev.106.620
53. C Cherniak M Changizi DW Kang 1999 Large-scale optimization of neuron arbors Phys. Rev. E 59 6001 6009 10.1103/PhysRevE.59.6001
54. M Biondini 2008 Allometric scaling laws for water uptake by plant roots J. Theor. Biol. 251 35 59 10.1016/j.jtbi.2007.11.018 (Pubitemid 351233053)
55. JR Banavar F Colaiori A Flammini A Maritan A Rinaldo 2001 Scaling, optimality, and landscape evolution J. Stat. Phys. 104 1 48 10.1023/A: 1010397325029
56. JS Lopez Villalta 2008 A metabolic view of the diversity-stability relationship J. Theor. Biol. 252 39 42 10.1016/j.jtbi.2008.01.015
57. Scheneider, E.D., Sagan, D.: Into the Cool: Energy Flow, Thermodynamics, and Life. University of Chicago Press, Chicago (2005)
58. Haken, H.: Information and Self-organization. Springer, Berlin (1998, 2006)
59. M-W Ho 1995 Bioenergetics and the coherence of organisms Neuronetwork World 5 733 750
60. von Foerster, H.: Disorder/Order: discovery or invention? In: Understanding Understanding. Essays on Cybernetics and Cognition. Springer, New York (2003)
61. P Nurse 2008 Life, logic and information Nature 454 424 426 10.1038/454424a
62. GB West JH Brown BJ Enquist 1997 A general model for the origin of allometric scaling laws in biology Science 276 122 126 10.1126/science.276.5309. 122 (Pubitemid 27161259)
63. CH Bennett P Gacs M Li PMB Vitanyi WH Zurek 1998 Information distance IEEE Trans. Inf. Theory 44 1407 1423 10.1109/18.681318
64. MG Velarde 1998 Controlled disordered patterns and information transfer between coupled neural lattices with oscillatory states Phys. Rev. E 57 3344 10.1103/PhysRevE.57.3344
65. Ambrose, E.J.: The Nature and Origin of the Biological World. Ellis Horwood, Chichester (1982)