Measures for information propagation in Boolean networks

Physica D: Nonlinear Phenomena

Volumn 227, Issue 1, 2007, Pages 100-104

  Rämö, Pauli ^a   Kauffman, Stuart ^b   Kesseli, Juha ^a   Yli Harja, Olli ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Boolean network; Criticality; Gene regulatory network; Information propagation; Perturbation avalanche

Indexed keywords

BOOLEAN ALGEBRA; GENES; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RANDOM PROCESSES;

BOOLEAN NETWORKS; CRITICALITY; GENE REGULATORY NETWORKS; INFORMATION PROPAGATION; PERTURBATION AVALANCHE;

INFORMATION THEORY;

EID: 33847251669     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.12.005     Document Type: Article

References (20)

1. Beggs J., and Plenz D. Neuronal avalanches in neocortical circuits. J. Neurosci. 23 35 (2003) 11167-11177
2. Kinouchi O., and Copelli M. Physics of psychophysics: Range of excitable networks is optimized at criticality. Nature Phys. 2 (2006) 348-352
3. Kauffman S. The Origins of Order (1993), Oxford University Press, New York
4. Shmulevich I., Kauffman S., and Aldana M. Eukaryotic cells are dynamically ordered or critical but not chaotic. Proceedings of the National Academy of Sciences of the USA 102 38 (2005) 13439-13444
5. Serra R., Villani M., and Semeria A. Genetic networks models and statistical properties of gene expression data in knock-out experiments. J. Theoret. Biol. 227 (2004) 149-157
6. Rämö P., Kesseli J., and Yli-Harja O. Perturbation avalanches and criticality in gene regulatory networks. J. Theoret. Biol. 242 (2006) 164-170
7. Ilachinski A. Cellular Automata: A Discrete Universe (2001), World Scientific
8. B. Luque, A. Ferrara, Measuring mutual information in random Boolean networks, Complex Syst. 11
9. Harris T. The Theory of Branching Processes. Die Grundlehren Der Mathematischen Wissenschaften vol. 119 (1963), Springer-Verlag
10. Jagers P. Branching Processes with Biological Applications (1975), John Wiley and Sons
11. Aldana M., Coppersmith S., and Kadanoff L.P. Boolean Dynamics with Random Couplings. Springer Applied Mathematical Sciences Series (2003), Springer, New York
12. Kauffman S. Metabolic stability and epigenesis in randomly constructed genetic nets. J. Theoret. Biol. 22 (1969) 437-467
13. Rämö P., Kesseli J., and Yli-Harja O. Stability of functions in gene regulatory networks. Chaos 15 (2005) 034101
14. Derrida B., and Pomeau Y. Random networks of automata: A simple annealed approximation. Europhys. Lett. 1 (1986) 45-49
15. Kesseli J., Rämö P., and Yli-Harja O. Iterated maps for annealed Boolean networks. Phys. Rev. E 74 (2006) 046104
16. Hsu D., and Beggs J. Neuronal avalanches and criticality: A dynamical model for homeostasis. Neurocomputing 69 (2006) 1134-1136
17. Haldeman C., and Beggs J. Critical branching captures activity in living neural networks and maximizes the number of metastable states. Phys. Rev. Lett. 94 (2005) 058101
18. P. Rämö, J. Kesseli, O. Yli-Harja, Self-overlap in Boolean networks, in: Fourth International Workshop on Computational Systems Biology, WCSB 2006, Tampere, Finland, 12-13 June 2006
19. Albert R. Scale-free networks in cell biology. J. Cell Sci. 118 21 (2005) 4947-4957
20. Dwass M. The total progeny in a branching process and related random walk. J. Appl. Probab. 6 (1969) 682-686