Algebraic Systems Biology: A Case Study for the Wnt Pathway
Molecular Networks
2015-02-12 v1 Algebraic Geometry
Abstract
Steady state analysis of dynamical systems for biological networks give rise to algebraic varieties in high-dimensional spaces whose study is of interest in their own right. We demonstrate this for the shuttle model of the Wnt signaling pathway. Here the variety is described by a polynomial system in 19 unknowns and 36 parameters. Current methods from computational algebraic geometry and combinatorics are applied to analyze this model.
Keywords
Cite
@article{arxiv.1502.03188,
title = {Algebraic Systems Biology: A Case Study for the Wnt Pathway},
author = {Elizabeth Gross and Heather A. Harrington and Zvi Rosen and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1502.03188},
year = {2015}
}
Comments
24 pages, 2 figures