@inproceedings{7184c07b2f7f4cf99f56c2e508f6c41f,
title = "Invariant verification of nonlinear hybrid automata networks of cardiac cells",
abstract = "Verification algorithms for networks of nonlinear hybrid automata (HA) can aid us understand and control biological processes such as cardiac arrhythmia, formation of memory, and genetic regulation. We present an algorithm for over-approximating reach sets of networks of nonlinear HA which can be used for sound and relatively complete invariant checking. First, it uses automatically computed input-to-state discrepancy functions for the individual automata modules in the network A for constructing a low-dimensional model M. Simulations of both A and M are then used to compute the reach tubes for A. These techniques enable us to handle a challenging verification problem involving a network of cardiac cells, where each cell has four continuous variables and 29 locations. Our prototype tool can check bounded-time invariants for networks with 5 cells (20 continuous variables, 295 locations) typically in less than 15 minutes for up to reasonable time horizons. From the computed reach tubes we can infer biologically relevant properties of the network from a set of initial states.",
keywords = "Biological networks, hybrid systems, invariants, verification",
author = "Zhenqi Huang and Chuchu Fan and Alexandru Mereacre and Sayan Mitra and Marta Kwiatkowska",
note = "Copyright: Copyright 2014 Elsevier B.V., All rights reserved.; 26th International Conference on Computer Aided Verification, CAV 2014 - Held as Part of the Vienna Summer of Logic, VSL 2014 ; Conference date: 18-07-2014 Through 22-07-2014",
year = "2014",
doi = "10.1007/978-3-319-08867-9_25",
language = "English (US)",
isbn = "9783319088662",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag Berlin Heidelberg",
pages = "373--390",
booktitle = "Computer Aided Verification - 26th International Conference, CAV 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Proceedings",
}