skip to main content
10.1145/1389095.1389150acmconferencesArticle/Chapter ViewAbstractPublication PagesgeccoConference Proceedingsconference-collections
research-article

Evolution of discrete gene regulatory models

Published: 12 July 2008 Publication History

Abstract

Gene regulatory networks (GRNs) are complex control systems that govern the interaction of genes, which ultimately control cellular processes at the protein level. GRNs can be represented using abstract models such as random Boolean networks (RBNs), where gene activities and their interactions are captured as nodes with associated Boolean functions, which receive activation or repressor signals from other nodes. We have developed an evolutionary model of gene regulatory networks using RBNs to study the dynamic behavior of these control systems. We explore a range of different network parameters such as excess graph, sensitivity, basin entropy, number of attractors and maximum length of attractors in RBNs. We investigate the effects of mutations and crossover on the fitness of RBNs, and we show that over the course of evolution, networks with a low level of damage spreading and a high tolerance to random perturbations can be produced. We also demonstrate that these networks are able to adapt to a range of different perturbations obtaining a high level of stability.

References

[1]
P. W. Anderson. Suggested model for prebiotic evolution: the use of chaos. Proc. Natl Acad. Sci., 80:3386--3390, 1983.
[2]
S. Bornholdt and T. Rohlf. Topological evolution of dynamical networks: Global criticality from local dynamics. Phys. Rev. Lett., 84(26):6114--6117, Jun 2000.
[3]
S. Bornholdt and K. Sneppen. Neutral mutations and punctuated equilibrium in evolving genetic networks. Phys. Rev. Lett., 81(1):236--239, 1998.
[4]
B. Derrida, E. Gardner, and A. Zippelius. An exactly soluble asymmetric neural network model. Europhysics Letters (EPL), 4(167), 1987.
[5]
B. Derrida and D. Stauffer. Phase transitions in two-dimensional kauffman cellular automata. Europhysics Letters (EPL), 2(10):739--745, 1986.
[6]
B. Drossel, T. Mihaljev, and F. Greil. Number and length of attractors in a critical kauffman model with connectivity one. Phys Rev Lett, 94(8):088701, Mar 2005.
[7]
H. J. K. Hawick and C. Scogings. Simulating large random boolean networks. Res. Lett. Inf. Math. Sci., 11:33--43, 2007.
[8]
J. J. Hopfield. Neural networks and physical systems with emergent collective computational abilities. Natl Acad. Sci., 79:2554--2558, 1982.
[9]
K. Iguchi, S. Kinoshita, and H. Yamada. Rugged fitness landscapes of kauffman models with a scale-free network. Physical review E, Statistical, nonlinear, and soft matter physics, 72(6 Pt 1):061901, Dec 2005.
[10]
K. Iguchi, S.-I. Kinoshita, and H. S. Yamada. Boolean dynamics of kauffman models with a scale-free network. J Theor Biol, 247(1):138--51, Jul 2007.
[11]
S. Kauffman. The Origins of Order: Self-Organization and Selection in Evolution. Oxford University Press, 1993.
[12]
S. Kauffman. A proposal for using the ensemble approach to understand genetic regulatory networks. J Theor Biol, 230(4):581--90, Oct 2004.
[13]
S. A. Kauffman. Metabolic stability and epigenesis in randomly constructed genetic nets. Journal of Theoretical Biology, 22:437--467, 1969.
[14]
S. A. Kauffman and R. G. Smith. Adaptive automata based on darwinian selection. Physica D, 2(1-3):68--82, 1986.
[15]
P. Krawitz and I. Shmulevich. Basin entropy in boolean network ensembles. Phys Rev Lett, 98(15):158701, Apr 2007.
[16]
P. Krawitz and I. Shmulevich. Entropy of complex relevant components of boolean networks. Physical review E, 76(3 Pt 2):036115, Sep 2007.
[17]
N. Lemke, J. C. M. Mombach, and B. E. J. Bodmann. A numerical investigation of adaptation in population of random boolean networks. Physica A, 301:589--600, 2001.
[18]
M. T. Matache and J. Heidel. Random boolean network model exhibiting deterministic chaos. Physical review E, 69(5 Pt 2):056214, May 2004.
[19]
T. Mihaljev and B. Drossel. Scaling in a general class of critical random boolean networks. Physical review E, Statistical, nonlinear, and soft matter physics, 74(4 Pt 2):046101, Oct 2006.
[20]
L. Raeymaekers. Dynamics of boolean networks controlled by biologically meaningful functions. Journal of Theoretical Biology, 2001.
[21]
I. Shmulevich and S. A. Kauffman. Activities and sensitivities in boolean network models. Phys Rev Lett, 93(4):048701, Jul 2004.
[22]
A. Shreim, A. Berdahl, V. Sood, P. Grassberger, and M. Paczuski. Complex network analysis of state spaces for random boolean networks, 2007.
[23]
J. E. S. Socolar and S. A. Kauffman. Scaling in ordered and critical random boolean networks. Phys Rev Lett, 90(6):068702, 2003.
[24]
Z. Somogyvári and S. Payrits. Length of state cycles of random boolean networks: an analytic study. Journal of Physics A: Mathematical and General, 33(38):6699--6706, 2000.
[25]
J. Watson, N. Geard, and J. Wiles. Towards more biological mutation operators in gene regulation studies. BioSystems, 76(1-3):239--48, Jan 2004.
[26]
S. Wolfram. Cellular Automata and Complexity. Addison-Wesley, Reading, 1994.
[27]
S. Wolfram. A New Kind of Science. Wolfram Media, Champaign, IL, 2002.

Cited By

View all
  • (2020)Evolving Always-Critical NetworksLife10.3390/life1003002210:3(22)Online publication date: 4-Mar-2020
  • (2018)Dynamical regimes and learning properties of evolved Boolean networksNeurocomputing10.1016/j.neucom.2012.05.02399(111-123)Online publication date: 31-Dec-2018
  • (2011)On the design of Boolean network robotsProceedings of the 2011 international conference on Applications of evolutionary computation - Volume Part I10.5555/2008402.2008408(43-52)Online publication date: 27-Apr-2011
  • Show More Cited By

Index Terms

  1. Evolution of discrete gene regulatory models

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation
    July 2008
    1814 pages
    ISBN:9781605581309
    DOI:10.1145/1389095
    • Conference Chair:
    • Conor Ryan,
    • Editor:
    • Maarten Keijzer
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 12 July 2008

    Permissions

    Request permissions for this article.

    Check for updates

    Author Tags

    1. evolutionary design
    2. gene regulatory network
    3. random boolean model
    4. systems biology

    Qualifiers

    • Research-article

    Conference

    GECCO08
    Sponsor:

    Acceptance Rates

    Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)2
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 08 Mar 2025

    Other Metrics

    Citations

    Cited By

    View all
    • (2020)Evolving Always-Critical NetworksLife10.3390/life1003002210:3(22)Online publication date: 4-Mar-2020
    • (2018)Dynamical regimes and learning properties of evolved Boolean networksNeurocomputing10.1016/j.neucom.2012.05.02399(111-123)Online publication date: 31-Dec-2018
    • (2011)On the design of Boolean network robotsProceedings of the 2011 international conference on Applications of evolutionary computation - Volume Part I10.5555/2008402.2008408(43-52)Online publication date: 27-Apr-2011
    • (2011)Stochastic local search to automatically design Boolean networks with maximally distant attractorsProceedings of the 2011 international conference on Applications of evolutionary computation - Volume Part I10.5555/2008402.2008406(22-31)Online publication date: 27-Apr-2011
    • (2011)On the Design of Boolean Network RobotsApplications of Evolutionary Computation10.1007/978-3-642-20525-5_5(43-52)Online publication date: 2011
    • (2011)Stochastic Local Search to Automatically Design Boolean Networks with Maximally Distant AttractorsApplications of Evolutionary Computation10.1007/978-3-642-20525-5_3(22-31)Online publication date: 2011
    • (2009)Robustness during Network Evolution2009 International Conference on Complex, Intelligent and Software Intensive Systems10.1109/CISIS.2009.135(1240-1244)Online publication date: Mar-2009

    View Options

    Login options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Figures

    Tables

    Media

    Share

    Share

    Share this Publication link

    Share on social media