TY - GEN
T1 - Attraction basins in a lac operon model under different update schedules
AU - Montalva, Marco
AU - Ruz, Gonzalo A.
AU - Goles, Eric
N1 - Publisher Copyright:
© Artificial Life 14 - Proceedings of the 14th International Conference on the Synthesis and Simulation of Living Systems, ALIFE 2014. All rights reserved.
PY - 2014
Y1 - 2014
N2 - In (Veliz-Cuba and Stigler, 2011) the authors proposed a Boolean model for the lac operon in Escherichia coli that is capable of predicting the operon being ON, OFF and bistable when the update schedule is the parallel one. We complement this work by using theoretical and algorithmic tools that allow us to know which are the configurations that converge to a fixed point or limit cycle (set namely attractor basin) for each deterministic update schedule. We show that, when bistability appears, about 70% of the dynamics have only the steady states ON and OFF. This latest having an attractor basin of an average size about 8 times bigger than that of ON. In the other 30%, the proportion is balanced between ON/OFF basins but the basins of limit cycles sum up, in average, about 5 times more than that of ON and OFF respectively. The techniques presented in this work are general and can be used to analyze other Boolean models.
AB - In (Veliz-Cuba and Stigler, 2011) the authors proposed a Boolean model for the lac operon in Escherichia coli that is capable of predicting the operon being ON, OFF and bistable when the update schedule is the parallel one. We complement this work by using theoretical and algorithmic tools that allow us to know which are the configurations that converge to a fixed point or limit cycle (set namely attractor basin) for each deterministic update schedule. We show that, when bistability appears, about 70% of the dynamics have only the steady states ON and OFF. This latest having an attractor basin of an average size about 8 times bigger than that of ON. In the other 30%, the proportion is balanced between ON/OFF basins but the basins of limit cycles sum up, in average, about 5 times more than that of ON and OFF respectively. The techniques presented in this work are general and can be used to analyze other Boolean models.
UR - http://www.scopus.com/inward/record.url?scp=85060233644&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85060233644
T3 - Artificial Life 14 - Proceedings of the 14th International Conference on the Synthesis and Simulation of Living Systems, ALIFE 2014
SP - 689
EP - 690
BT - Artificial Life 14 - Proceedings of the 14th International Conference on the Synthesis and Simulation of Living Systems, ALIFE 2014
A2 - Sayama, Hiroki
A2 - Rieffel, John
A2 - Risi, Sebastian
A2 - Doursat, Rene
A2 - Lipson, Hod
PB - MIT Press Journals
T2 - 14th International Conference on the Synthesis and Simulation of Living Systems, ALIFE 2014
Y2 - 30 July 2014 through 2 August 2014
ER -