Random Boolean Networks, Nk Networks

20 Aug 2007 21:31

Stuart Kauffman, The Origins of Order [Highly interesting, but to be read with some caution. The writing is often confused, and, frankly, after more than a decade many of the ideas have not panned out. Still extremely important.]

Carlos Gershenson, Stuart A. Kauffman, and Ilya Shmulevich, "The Role of Redundancy in the Robustness of Random Boolean Networks", nlin.AO/0511018

Madalena Chaves, Reka Albert and Eduardo D. Sontag, "Robustness and fragility of Boolean models for genetic regulatory networks", q-bio.MN/0401037
S. N. Coppersmith, "The computational complexity of Kauffman nets and the P versus NP problem", cond-mat/0510840
L. Correale, M. Leone, A. Pagnani, M. Weigt, R. Zecchina, "Computational core and fixed-point organisation in Boolean networks", cond-mat/0512089
Barbara Drossel, "On the number of attractors in random Boolean networks", cond-mat/0503526 = Physical Review E 72 (2005): 016110
Richard Durrett and Vlada Limic, "Rigorous Results for the NK Model", The Annals of Probability 31 (2003): 1713--1753
Carlos Gershenson
- "Introduction to Random Boolean Networks", nlin.AO/0408006
- "Phase Transitions in Random Boolean Networks with Different Updating Schemes", nlin/0311008
Florian Greil and Barbara Drossel, "The dynamics of critical Kauffman networks under asynchronous stochastic update", cond-mat/0501081 = Physical Review Letters 95 (2005): 048701
Leo Kadanoff, Susan Coppersmith and Maximino Aldana, "Boolean Dynamics with Random Couplings," nlin.AO/0204062
Viktor Kaufman and Barbara Drossel, "Relevant components in critical random Boolean networks", cond-mat/0606507
Viktor Kaufman, Tamara Mihaljev and Barbara Drossel, "Scaling in critical random Boolean networks", cond-mat/0506807
Juha Kesseli, Pauli Rämö, and Olli Yli-Harja, "Tracking perturbations in Boolean networks with spectral methods", Physical Review E 72 (2005):026137
Constantin Klemm and Stefan Bornholdt, "Stable and unstable attractors in Boolean networks", cond-mat/0411102
Michele Leone, Andrea Pagnani, Giorgio Parisi and Osvaldo Zagordi, "Finite size corrections to random Boolean networks", Journal of Statistical Mechanics: Theory and Experiment 2006: P12012
Vlada Limic and Robin Pemantle, "More rigorous results on the Kauffman-Levin model of evolution", Annals of Probability 32 (2004): 2149--2178 = math.PR/0308282
Bartolo Luque, Fernando J. Ballesteros and Manuel Fernández, "Variances as order paramaeter and complexity measure for random Boolean networks", Journal of Physics A: Mathematical and General 38 (2005): 1031--1038
James F. Lynch, "Critical Points for Random Boolean Networks," nlin.AO/0110036
H. Mahmoudi, A. Pagnani, M. Weigt and R. Zecchina, "Propagation of external regulation and asynchronous dynamics in random Boolean networks", Chaos 17 (2007): 026109
Tamara Mihaljev, Barbara Drossel, "Scaling in a general class of critical random Boolean networks", cond-mat/0606612 = Physical Review E 74 (2006): 046101
Andre A. Moreira and Luis A. N. Amaral, "Canalizing Kauffman networks: non-ergodicity and its effect on their critical behavior", cond-mat/0504722 = PRL 94 (2005): 218702
U. Paul, V. Kaufman, B. Drossel, "The properties of attractors of canalyzing random Boolean networks", cond-mat/0511049
Pauli Rämö, Juha Kesseli, and Olli Yli-Harja, "Stability of functions in Boolean models of gene regulatory networks", Chaos 15 (2005): 034101
Cynthia J. Olson Reichhardt and Kevin E. Bassler, "Canalization and Symmetry in Boolean Models for Genetic Regulatory Networks", q-bio.QM/0610011
Chikoo Oosawa, Kazuhiro Takemoto, Shogo Matsumoto, Michael A. Savageau, "Local cause of coherence in Boolean networks", nlin.CG/0611049
Bjoorn Samuelsson and Carl Troein, "Random maps and attractors in random Boolean networks", cond-mat/0505481
Steffen Schober and Martin Bossert, "Analysis of random Boolean networks using the average sensitivity", arxiv:0704.0197
Agnes Szejka and Barbara Drossel, "Evolution of Canalizing Boolean Networks", q-bio.PE/0701025