Eur. Phys. J. B 69, 133-146 (2009)
https://doi.org/10.1140/epjb/e2009-00162-y

Noise effects in two different biological systems

¹ Dipartimento di Fisica e Tecnologie Relative, Group of Interdisciplinary Physics (URL: http://gip.dft.unipa.it) , Università di Palermo, Viale delle Scienze pad. 18, 90128 Palermo, Italy
² Mark Kac Complex Systems Research Center and Marian Smoluchowski Institute of Physics, Jagellonian University, ul. Reymonta 4, 30-059 Kraków, Poland
³ Dipartimento di Scienze Entomologiche, Fitopatologiche, Microbiologiche Agrarie e Zootecniche, Università di Palermo, Viale delle Scienze pad. 5, 90128 Palermo, Italy

Corresponding authors: ^a spagnolo@unipa.it - ^b npizzolato@gip.dft.unipa.it - ^c colazza@unipa.it

Received: 29 December 2008
Revised: 20 April 2009
Published online: 8 May 2009

Abstract

We investigate the role of the colored noise in two biological systems: (i) adults of Nezara viridula (L.) (Heteroptera: Pentatomidae), and (ii) polymer translocation. In the first system we analyze, by directionality tests, the response of N. viridula individuals to subthreshold signals plus noise in their mating behaviour. The percentage of insects that react to the subthreshold signal shows a nonmonotonic behaviour, characterized by the presence of a maximum, as a function of the noise intensity. This is the signature of the non-dynamical stochastic resonance phenomenon. By using a “soft” threshold model we find that the maximum of the input-output cross correlation occurs in the same range of noise intensity values for which the behavioural activation of the insects has a maximum. Moreover this maximum value is lowered and shifted towards higher noise intensities, compared to the case of white noise. In the second biological system the noise driven translocation of short polymers in crowded solutions is analyzed. An improved version of the Rouse model for a flexible polymer is adopted to mimic the molecular dynamics by taking into account both the interactions between adjacent monomers and the effects of a Lennard-Jones potential between all beads. The polymer dynamics is simulated in a two-dimensional domain by numerically solving the Langevin equations of motion in the presence of thermal fluctuations and a colored noise source. At low temperatures or for strong colored noise intensities the translocation process of the polymer chain is delayed. At low noise intensity, as the polymer length increases, we find a nonmonotonic behaviour for the mean first translocation time of the polymer centre of inertia. We show how colored noise influences the motion of short polymers, by inducing two different regimes of translocation in the dynamics of molecule transport.