On spins and genes

Jacek Miękisz, and Paulina Szymańska. "On spins and genes." Mathematica Applicanda 40.1 (2012): null. <http://eudml.org/doc/293336>.

@article{JacekMiękisz2012,
abstract = {Many processes in natural and social sciences can be modeled by systems of interacting objects. It is usually very difficult to obtain analytic expressions describing time evolution and equilibrium behavior of such systems. Very often we rely only on computer simulations. Fortunately, in many cases one can construct useful approximation schemes and derive exact results which capture some specific features of a given process. A frequent approach is to replace interactions between objects by a mean interaction. Here we illustrate a self-consistent mean-field approximation in two examples: the Ising model of interacting spins and a simple model of a self-regulating gene.},
author = {Jacek Miękisz, Paulina Szymańska},
journal = {Mathematica Applicanda},
keywords = {Ising model, self-regulating gene, mean-field approximation.},
language = {eng},
number = {1},
pages = {null},
title = {On spins and genes},
url = {http://eudml.org/doc/293336},
volume = {40},
year = {2012},
}

TY - JOUR
AU - Jacek Miękisz
AU - Paulina Szymańska
TI - On spins and genes
JO - Mathematica Applicanda
PY - 2012
VL - 40
IS - 1
SP - null
AB - Many processes in natural and social sciences can be modeled by systems of interacting objects. It is usually very difficult to obtain analytic expressions describing time evolution and equilibrium behavior of such systems. Very often we rely only on computer simulations. Fortunately, in many cases one can construct useful approximation schemes and derive exact results which capture some specific features of a given process. A frequent approach is to replace interactions between objects by a mean interaction. Here we illustrate a self-consistent mean-field approximation in two examples: the Ising model of interacting spins and a simple model of a self-regulating gene.
LA - eng
KW - Ising model, self-regulating gene, mean-field approximation.
UR - http://eudml.org/doc/293336
ER -