Influence and dynamic behavior in random Boolean networks

Physical Review Letters

Volumn 107, Issue 10, 2011, Pages

  Seshadhri, C ^a   Vorobeychik, Yevgeniy ^a   Mayo, Jackson R ^a   Armstrong, Robert C ^a   Ruthruff, Joseph R ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN NETWORK MODELS; BOOLEAN NETWORKS; DYNAMIC BEHAVIORS; FORMAL PROOFS; INHOMOGENEITIES; MATHEMATICAL FRAMEWORKS; MEAN FIELD ANALYSIS; RANDOM BOOLEAN NETWORKS;

ELECTRIC NETWORK ANALYSIS;

BOOLEAN ALGEBRA;

EID: 80052368706     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.107.108701     Document Type: Article

References (15)

1. S.A. Kauffman, J. Theor. Biol. 22, 437 (1969). JTBIAP 0022-5193 10.1016/0022-5193(69)90015-0
2. S.A. Kauffman, The Origins of Order (Oxford University Press, Oxford, 1993).
3. S.E. Harris, B.K. Sawhill, A. Wuensche, and S.A. Kauffman, Complexity 7, 23 (2002). COMPFS 1076-2787 10.1002/cplx.10022 (Pubitemid 34961265)
4. I. Shmulevich and S.A. Kauffman, Phys. Rev. Lett. 93, 048701 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.048701
5. A.A. Moreira and L.A. N. Amaral, Phys. Rev. Lett. 94, 218702 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.218702 (Pubitemid 41636716)
6. M. Aldana and P. Cluzel, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 100, 8710 (2003). 10.1073/pnas.1536783100 (Pubitemid 36899163)
7. S.A. Kauffman, C. Peterson, B. Samuelsson, and C. Troein, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 100, 14796 (2003). 10.1073/pnas.2036429100 (Pubitemid 37517970)
8. I. Shmulevich, H. Lähdesmäki, E.R. Dougherty, J. Astola, and W. Zhang, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 100, 10734 (2003). 10.1073/pnas.1534782100 (Pubitemid 37140097)
9. B. Derrida and Y. Pomeau, Europhys. Lett. 1, 45 (1986). EULEEJ 0295-5075 10.1209/0295-5075/1/2/001
10. F. Ghanbarnejad and K. Klemm, "Stability of Boolean and Continuous Dynamics," http://arxiv.org/abs/1103.4490v2.
11. J. Kahn, G. Kalai, and N. Linial, in Twenty-Ninth Symposium on Foundations of Computer Science (IEEE, Washington, DC, 1988) p. 68 [http://dx.doi.org/10.1109/SFCS.1988.21923].
12. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.107.108701 for complete proofs of Theorem 1 and Proposition 2.
13. F. Greil and B. Drossel, Eur. Phys. J. B 57, 109 (2007). EPJBFY 1434-6028 10.1140/epjb/e2007-00161-0 (Pubitemid 46870963)
14. A. Szejka, T. Mihalijev, and B. Drossel, New J. Phys. 10, 063009 (2008). NJOPFM 1367-2630 10.1088/1367-2630/10/6/063009
15. L. Raeymaekers, J. Theor. Biol. 218, 331 (2002). JTBIAP 0022-5193 10.1006/jtbi.2002.3081 (Pubitemid 35191833)