University of Leicester
Browse
1607.03794v1.pdf (145.6 kB)

Effect of memory in non-Markovian Boolean networks illustrated with a case study: A cell cycling process

Download (145.6 kB)
journal contribution
posted on 2017-02-24, 15:11 authored by Haleh Ebadi, Meghdad Saeedian, Marcel Ausloos, Gholam Reza Jafari
One successful model of interacting biological systems is the Boolean network. The dynamics of a Boolean network, controlled with Boolean functions, is usually considered to be a Markovian (memory-less) process. However, both self organizing features of biological phenomena and their intelligent nature should raise some doubt about ignoring the history of their time evolution. Here, we extend the Boolean network Markovian approach: we involve the effect of memory on the dynamics. This can be explored by modifying Boolean functions into non-Markovian functions, for example, by investigating the usual non-Markovian threshold function, - one of the most applied Boolean functions. By applying the non-Markovian threshold function on the dynamical process of a cell cycle network, we discover a power law memory with a more robust dynamics than the Markovian dynamics.

Funding

GRJ and MS gratefully acknowledge support from Cognitive Science and Technologies Council grant No. 2694.

History

Citation

EPL (Europhysics Letters), 2016,116 (3)

Author affiliation

/Organisation/COLLEGE OF SOCIAL SCIENCES, ARTS AND HUMANITIES/School of Management

Version

  • AM (Accepted Manuscript)

Published in

EPL (Europhysics Letters)

Publisher

European Physical Society, EDP Sciences, Società Italiana di Fisica, IOP Publishing, EPL Association

issn

0295-5075

eissn

1286-4854

Copyright date

2016

Available date

2017-12-20

Publisher version

http://iopscience.iop.org/article/10.1209/0295-5075/116/30004/meta

Notes

The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.

Language

en

Usage metrics

    University of Leicester Publications

    Categories

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC