| M. Antoniotti, B. Mishra, A. Policriti, and N. Ugel. Xs-systems: extended ssystems and algebraic di#erential automata for modeling cellular behavior. In V.K. Prasanna S. Sahni and U. Shukla, editors, Proceedings of the International Conference on High Performance Computing, HiPC 2002, volume 2552 of LNCS, pages 431--442, Bangalore (INDIA), December 2002. Springer Verlag. |
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M. Antoniotti, B. Mishra, A. Policriti, and N. Ugel. Xs-systems: extended ssystems and algebraic di#erential automata for modeling cellular behavior. In V.K. Prasanna S. Sahni and U. Shukla, editors, Proceedings of the International Conference on High Performance Computing, HiPC 2002, volume 2552 of LNCS, pages 431--442, Bangalore (INDIA), December 2002. Springer Verlag.
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M. Antoniotti, A. Policriti, N. Ugel, and B. Mishra. XS-systems: extended S-Systems and Algebraic Di#erential Automata for Modeling Cellular Behaviour. In Proceedings of HiPC 2002.
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M. Antoniotti, A. Policriti, N. Ugel, and B. Mishra. XS-systems: extended Ssystems and algebraic di#erential automata for modeling cellular behaviour. In Proc. of Int. Conference on High Performance Computing (HiPC'02), 2002.
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M. Antoniotti, A. Policriti, N. Ugel, and B. Mishra. "XS-systems: eXtended S-systems and Algebraic Di#erential Automata for Modeling Cellular Behavior." In High Performance Computing, 9th International Conference (HiPC 2002.
....from the analysis of traces summarizing the behavior of biomolecules; second, it tames the otherwise unruly complexity of the automata in terms of their size as a function of the levels of approximation allowed. The cellular and biochemical processes analyzed using XS systems and Simpathica [5, 4] provide a large set of application examples for the framework we present here. In order to motivate the choices of our modeling framework, the paper focuses on a detailed examination of one such example: namely, the repressilator system described by Elowitz and Leibler in [21] Later, in Section ....
....and others) and evaluates their relative strengths and weaknesses. The problem of constructing an automaton from a given mathematical model of a general dynamical system has been previously considered in the literature. In particular, it has been investigated by Brockett in [8] our approach in [5] is certainly more focused, since it deals with specific mathematical models (i.e. S systems) Here we move farther away from purely discrete models, and adapt hybrid automata to describe the underlying biochemical behavior instead of standard automata. Consequently, we are able to take advantage ....
[Article contains additional citation context not shown here]
M. Antoniotti, A. Policriti, N. Ugel, and B. Mishra. XS-systems: extended Ssystems and algebraic di#erential automata for modeling cellular behaviour. In Proc. of Int. Conference on High Performance Computing (HiPC'02), 2002.
.... improve along the direction of a qualitative study of the automata extracted from the analysis of traces as well as to tame its complexity of the automata (whose size depends on the level of approximation allowed) The cellular and biochemical processes analyzed using XS systems and Simpathica [4, 3] provide a large set of application examples for the framework we present here. In order to motivate the choices of our modeling framework, we give some details about one of such examples, the repressilator system described by Elowitz and Leibler in [13] We conclude pointing out that the ....
....and others) and evaluates their relative strengths and weaknesses. The problem of constructing an automaton from a given mathematical model of a general dynamical system has been previously considered in the literature. In particular, it has been investigated by Brockett in [7] our approach in [4] is certainly more focussed, since it deals with speci c mathematical models (i.e. S systems) Here we take the distance from pure discrete models, and propose the use of hybrid automata instead of standard automata, with the aim of taking advantage of their continuous component for allowing ....
[Article contains additional citation context not shown here]
M. Antoniotti, A. Policriti, N. Ugel, and B. Mishra. XS-systems: extended Ssystems and algebraic dierential automata for modeling cellular behaviour. In Proc. of Int. Conference on High Performance Computing (HiPC'02), 2002.
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