Design and evaluation tools for automated highway systems
Proceedings of the DIMACS/SYCON workshop on Hybrid systems III : verification and control: verification and control
Modeling Cellular Behavior with Hybrid Automata: Bisimulation and Collapsing
CMSB '03 Proceedings of the First International Workshop on Computational Methods in Systems Biology
The d/dt Tool for Verification of Hybrid Systems
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
HYTECH: A Model Checker for Hybrid Systems
CAV '97 Proceedings of the 9th International Conference on Computer Aided Verification
LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
High-Level Modeling and Analysis of TCAS
RTSS '99 Proceedings of the 20th IEEE Real-Time Systems Symposium
Information and Computation
The Theory of Timed I/O Automata (Synthesis Lectures in Computer Science)
The Theory of Timed I/O Automata (Synthesis Lectures in Computer Science)
Learning cycle-linear hybrid automata for excitable cells
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Automated symbolic reachability analysis: with application to delta-notch signaling automata
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
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We propose a new biological framework based on the Lynch et al. theory of Hybrid I/O Automata (HIOAs) for modeling and simulating excitable tissue. Within this framework, we view an excitable tissue as a composition of two main kinds of component: a diffusion medium and a collection of cells, both modeled as an HIOA. This approach yields a notion of decomposition that allows us to describe a tissue as the parallel composition of several interacting tissues, a property that could be exploited to parallelize, and hence improve, the efficiency of the simulation process. We also demonstrate the feasibility of our HIOA-based framework to capture and mimic different kinds of wave-propagation behavior in 2D isotropic cardiac tissue, including normal wave propagation along the tissue; the creation of spiral waves; the break-up of spiral waves into more complex patterns such as fibrillation; and the recovery of the tissue to the rest via electrical defibrillation.