Name
Title | ||
|---|---|---|
Identifying the Parametric Occurrence of Multiple Steady States for some Biological Networks. |
Abstract | ||
|---|---|---|
We consider a problem from biological network analysis of determining regions in a parameter space over which there are multiple steady states for positive real values of variables and parameters. We describe multiple approaches to address the problem using tools from Symbolic Computation. We describe how progress was made to achieve semi-algebraic descriptions of the multistationarity regions of parameter space, and compare symbolic and numerical methods. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.jsc.2019.07.008 | Journal of Symbolic Computation |
Keywords | Field | DocType |
Mixed equation/inequality solving,Real quantifier elimination,Biological networks,Signalling pathways,MAPK | Graph theory,Discrete mathematics,Biological network,Symbolic computation,Algorithm,Parametric statistics,Parameter space,Gaussian elimination,Numerical analysis,Cylindrical algebraic decomposition,Mathematics | Journal |
Volume | ISSN | Citations |
98 | 0747-7171 | 1 |
PageRank | References | Authors |
0.35 | 25 | 11 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Russell J. Bradford | 1 | 255 | 25.29 |
| J. H. Davenport | 2 | 109 | 21.82 |
| Matthew England | 3 | 192 | 20.58 |
| Hassan Errami | 4 | 34 | 4.32 |
| V. P. Gerdt | 5 | 74 | 49.96 |
| Dima Grigoriev | 6 | 992 | 124.46 |
| Charles Hoyt | 7 | 1 | 0.35 |
| Marek Kosta | 8 | 8 | 2.54 |
| Ovidiu Radulescu | 9 | 132 | 15.58 |
| Thomas Sturm | 10 | 302 | 24.81 |
| Andreas Weber | 11 | 131 | 13.10 |