Eur. Phys. J. B (2016) 89: 156
https://doi.org/10.1140/epjb/e2016-70172-9

Regular Article

Design of artificial genetic regulatory networks with multiple delayed adaptive responses^*

¹ National Scientific and Technical Research Council and Faculty of Exact and Natural Sciences, National University of Cuyo, Padre Contreras 1300, 5500 Mendoza, Argentina
² Abteilung Physikalische Chemie, Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany
³ Molecular Profiling Research Center for Drug Discovery, National Institute of Advanced Industrial Science and Technology, 2-4-7 Aomi, 135-0064 Tokyo, Japan
⁴ Cybermedia Center, Osaka University, Toyonaka, 560-0043 Osaka, Japan

^a e-mail: pkaluza@mendoza-conicet.gob.ar

Received: 17 March 2016
Received in final form: 2 May 2016
Published online: 20 June 2016

Abstract

Genetic regulatory networks with adaptive responses are widely studied in biology. Usually, models consisting only of a few nodes have been considered. They present one input receptor for activation and one output node where the adaptive response is computed. In this work, we design genetic regulatory networks with many receptors and many output nodes able to produce delayed adaptive responses. This design is performed by using an evolutionary algorithm of mutations and selections that minimizes an error function defined by the adaptive response in signal shapes. We present several examples of network constructions with a predefined required set of adaptive delayed responses. We show that an output node can have different kinds of responses as a function of the activated receptor. Additionally, complex network structures are presented since processing nodes can be involved in several input-output pathways.