Algorithmic algebraic model checking I: Challenges from systems biology

被引:0
|
作者
Piazza, C [1 ]
Antoniotti, M
Mysore, V
Policriti, A
Winkler, F
Mishra, B
机构
[1] Univ Udine, Dept Math & Comp Sci, I-33100 Udine, Italy
[2] NYU, Courant Inst Math Sci, New York, NY USA
[3] NYU, Sch Med, Dept Cell Biol, New York, NY USA
[4] Johannes Kepler Univ Linz, Res Inst Symbol Computat, A-4040 Linz, Austria
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we suggest a possible confluence of the theory of hybrid automata and the techniques of algorithmic algebra to create a computational basis for systems biology. We describe a method to compute bounded reachability by combining Taylor polynomials and cylindric algebraic decomposition algorithms. We discuss the power and limitations of the framework we propose and we suggest several possible extensions. We briefly show an application to the study of the Delta-Notch protein signaling system in biology.
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页码:5 / 19
页数:15
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