Evolving networks and the development of neural systems

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 3, 2010, Pages

  Johnson, Samuel ^a   Marro, J ^a   Torres, Joaquín J ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Growth processes; Network dynamics; Networks; Random graphs

Indexed keywords

EID: 77950286080     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/03/P03003     Document Type: Article

References (50)

1. Barabsi A-L and Albert R 1999 Emergence of scaling in random networks Science 286 509
2. Albert R and Barabsi A-L 2000 Topology of evolving networks: local events and universality Phys. Rev. Lett. 85 5234
3. Bianconi G and Barabsi A-L 2000 Bose-Einstein condensation in complex networks Phys. Rev. Lett. 86 5632
4. Krapivsky P L, Redner S and Leyvraz F 2000 Connectivity of growing random networks Phys. Rev. Lett. 85 4629
5. Bianconi G and Barabsi A-L 2001 Competition and multiscaling in evolving networks Europhys. Lett. 54 436
6. Park K and Lai Y-C 2005 Self-organized scale-free networks Phys. Rev. E 72 026131
7. Ree S 2007 Generation of scale-free networks using a simple preferential-rewiring dynamics Physica A 376 692
8. Boccaletti S, Latora V, Moreno Y, Chavez M and Hwang D-U 2006 Complex networks: Structure and dynamics Phys. Rep. 424 175
9. Johnson S, Torres J J and Marro J 2009 Nonlinear preferential rewiring in fixed-size networks as a diffusion process Phys. Rev. E 79 050104(R)
10. Amit D J 1989 Modeling Brain Function (Cambridge: Cambridge University Press)
11. Torres J J and Varona P 2010 Modeling Biological Neural Networks in Handbook of Natural Computing ed G Rozenberg et al (Berlin: Springer)
12. Sporns O, Chialvo D R, Kaiser M and Hilgetag C C 2004 Organization, development and function of complex brain networks Trends Cogn. Sci. 8 418
13. Lee K S, Schottler F, Oliver M and Lynch G 1980 Brief bursts of high-frequency stimulation produce two types of structural change in rat hippocampus J. Neurophysiol. 44 247
14. Frank E 1997 Synapse elimination: for nerves it's all or nothing Science 275 324
15. Klintsova A Y and Greenough W T 1999 Synaptic plasticity in cortical systems Curr. Opin. Neurobiol. 9 203
16. De Roo M, Klauser P, Mendez P, Poglia L and Muller D 2008 Activity-dependent PSD formation and stabilization of newly formed spines in hippocampal slice cultures Cerebral Cortex 18 151
17. Chechik G, Meilijson I and Ruppin E 1998 Synaptic pruning in development: a computational account Neural Comput. 10 1759
18. Chechik G, Meilijson I and Ruppin E 1999 Neuronal regulation: a mechanism for synaptic pruning during brain maturation Neural Comput. 11 2061
19. Torres J J, Mũoz M A, Marro J and Garrido P L 2004 Influence of topology on a neural network performance Neurocomputing 58-60 229
20. Magistretti P J 2009 Low-cost travel in neurons Science 325 1349
21. Poncela J, Gómez-Gardẽes J, Floría L M, Snchez A and Moreno Y 2008 Complex cooperative networks from evolutionary preferential attachment PLoS ONE 3 e2449
22. Vazquez F, Eguíluz V M and San Miguel M 2008 Generic absorbing transition in coevolution dynamics Phys. Rev. Lett. 100 108702
23. Antiqueira L, Rodrigues F A and Costa L da F 2009 Modeling connectivity in terms of network activity J. Stat. Mech. L09005
24. van Kampen N G 1992 Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland)
25. Marro J and Dickman R 1999 Nonequilibrium Phase Transitions in Lattice Models (Cambridge: Cambridge University Press)
26. Huttenlocher P R and Dabholkar A S 1997 Regional differences in synaptogenesis in human cerebral cortex J. Comp. Neurol. 387 167
27. Park J and Newman M E J 2004 Statistical mechanics of networks Phys. Rev. E 70 066117
28. Burda Z, Jurkiewicz J and Krzywicki A 2004 Statistical mechanics of random graphs Physica A 344 56
29. Derényi I, Farkas I, Palla G and Vicsek T 2004 Topological phase transitions of random networks Physica A 344 583
30. Eguíluz V M, Chialvo D R, Cecchi G A, Baliki M and Apkarian A V 2005 Scale-free brain functional networks Phys. Rev. Lett. 94 018102
31. Watts D J and Strogatz S H 1998 Collective dynamics of small-world networks Nature 393 440
32. Barahona M and Pecora L M 2002 Synchronization in small-world systems Phys. Rev. Lett. 89 054101
33. Motter A E, Zhou C and Kurths J 2005 Network synchronization, diffusion, and the paradox of heterogeneity Phys. Rev. E 71 016116
34. Chavez M, Hwang D-U, Amann A, Hentschel H G E and Boccaletti S 2005 Synchronization is enhanced in weighted complex networks Phys. Rev. Lett. 94 218701
35. Sendĩa-Nadal I, Buld J M, Leyva I and Boccaletti S 2008 Phase locking induces scale-free topologies in networks of coupled oscillators PLoS ONE 3 e2644
36. Arenas A, Díaz-Guilera A, Kurths J, Moreno Y and Zhou C 2008 Synchronization in complex networks Phys. Rep. 469 93
37. Johnson S, Marro J and Torres J J 2008 Functional optimization in complex excitable networks Europhys. Lett. 83 46006
38. Pastor-Satorras R, Vzquez A and Vespignani A 2001 Dynamical and correlation properties of the Internet Phys. Rev. Lett. 87 258701
39. Newman M E J 2003 The structure and function of complex networks SIAM Rev. 45 167
40. Newman M E J 2002 Mixing patterns in networks Phys. Rev. Lett. 89 208701
41. Newman M E J 2003 Assortative mixing in networks Phys. Rev. E 67 026126
42. Park J and Newman M E J 2003 The origin of degree correlations in the Internet and other networks Phys. Rev. E 68 026112
43. Maslov S, Sneppen K and Zaliznyak A 2004 Pattern detection in complex networks: correlation profile of the Internet Physica A 333 529
44. Johnson S, Torres J J, Marro J and Mũoz M A 2010 The entropic origin of disassortativity in complex networks Phys. Rev. Lett. at press, arXiv:1002.3286
45. Albert R and Barabsi A-L 2002 Statistical mechanics of complex networks Rev. Mod. Phys. 74 47
46. White J G, Southgate E, Thompson J N and Brenner S 1986 The structure of the nervous system of the nematode Caenorhabditis Elegans Phil. Trans. R. Soc. Lond. 314 1 Data at: http://cdg.columbia.edu/cdg/datasets
47. Arenas A, Fernndez A and Gómez S 2008 A complex network approach to the determination of functional groups in the neural system of C Elegans Bio-Inspired Computing and Communication (Lect. Notes Comp. Sci. vol 5151) (Berlin: Springer) pp9-18
48. Chialvo D R, Balenzuela P and Fraiman D 2008 The Brain: What is critical about it? Collective Dynamics: Topics on Competition and Cooperation in the Biosciences vol 1028 (New York: AIP) p28
49. Chialvo D R 2004 Critical brain networks Physica A 340 756
50. Kaiser M 2004 Spatial growth of real-world networks Phys. Rev. E 69 036103