Title |
Algebraic Systems Biology: A Case Study for the Wnt Pathway
|
---|---|
Published in |
Bulletin of Mathematical Biology, December 2015
|
DOI | 10.1007/s11538-015-0125-1 |
Pubmed ID | |
Authors |
Elizabeth Gross, Heather A. Harrington, Zvi Rosen, Bernd Sturmfels |
Abstract |
Steady-state analysis of dynamical systems for biological networks gives 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. It has degree 9 over the parameter space. This case study explores multistationarity, model comparison, dynamics within regions of the state space, identifiability, and parameter estimation, from a geometric point of view. We employ current methods from computational algebraic geometry, polyhedral geometry, and combinatorics. |
X Demographics
Geographical breakdown
Country | Count | As % |
---|---|---|
United Kingdom | 2 | 50% |
Germany | 1 | 25% |
United States | 1 | 25% |
Demographic breakdown
Type | Count | As % |
---|---|---|
Scientists | 3 | 75% |
Members of the public | 1 | 25% |
Mendeley readers
Geographical breakdown
Country | Count | As % |
---|---|---|
United States | 3 | 8% |
Germany | 1 | 3% |
Unknown | 34 | 89% |
Demographic breakdown
Readers by professional status | Count | As % |
---|---|---|
Student > Ph. D. Student | 9 | 24% |
Researcher | 7 | 18% |
Student > Master | 5 | 13% |
Student > Bachelor | 2 | 5% |
Professor | 2 | 5% |
Other | 7 | 18% |
Unknown | 6 | 16% |
Readers by discipline | Count | As % |
---|---|---|
Mathematics | 13 | 34% |
Agricultural and Biological Sciences | 5 | 13% |
Biochemistry, Genetics and Molecular Biology | 3 | 8% |
Computer Science | 3 | 8% |
Engineering | 3 | 8% |
Other | 3 | 8% |
Unknown | 8 | 21% |