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.
Piazza, C., Antoniotti, M., Mysore, V., Policriti, A., Mishra, B. (2005). Algorithmic algebraic model checking I: Challenges from systems biology. In Computer Aided Verification (pp.5-19). Springer Verlag [10.1007/11513988_3].
Algorithmic algebraic model checking I: Challenges from systems biology
ANTONIOTTI, MARCO;
2005
Abstract
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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