Analysis of Biochemical Mechanisms using Mathematica with Applications
Serdica Journal of Computing, Tome 10 (2016) no. 1, pp. 063-078
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
Biochemical mechanisms with mass action kinetics are usually modeled as
systems of ordinary differential equations (ODE) or bipartite graphs.
We present a software module for the numerical analysis of ODE models of
biochemical mechanisms of chemical species and elementary reactions
(BMCSER) within the programming environment of CAS Mathematica.
The module BMCSER also visualizes the bipartite graph of biochemical
mechanisms. Numerical examples, including a double phosphorylation model,
are presented demonstrating the scientific applications and the visualization
properties of the module.
ACM Computing Classification System (1998): G.4.
Keywords:
Biochemical Mechanism, Mass-Action Kinetics, Stoichiometric Matrix, Rate Functions, Conservation Relations, Bipartite Graph, Double Phosphorylation
@article{SJC_2016_10_1_a4,
author = {Kyurkchiev, Nikolay and Markov, Svetoslav and Mincheva, Maya},
title = {Analysis of {Biochemical} {Mechanisms} using {Mathematica} with {Applications}},
journal = {Serdica Journal of Computing},
pages = {063--078},
year = {2016},
volume = {10},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SJC_2016_10_1_a4/}
}
TY - JOUR AU - Kyurkchiev, Nikolay AU - Markov, Svetoslav AU - Mincheva, Maya TI - Analysis of Biochemical Mechanisms using Mathematica with Applications JO - Serdica Journal of Computing PY - 2016 SP - 063 EP - 078 VL - 10 IS - 1 UR - http://geodesic.mathdoc.fr/item/SJC_2016_10_1_a4/ LA - en ID - SJC_2016_10_1_a4 ER -
Kyurkchiev, Nikolay; Markov, Svetoslav; Mincheva, Maya. Analysis of Biochemical Mechanisms using Mathematica with Applications. Serdica Journal of Computing, Tome 10 (2016) no. 1, pp. 063-078. http://geodesic.mathdoc.fr/item/SJC_2016_10_1_a4/