32 research outputs found
Robustness Analysis for Value-Freezing Signal Temporal Logic
In our previous work we have introduced the logic STL*, an extension of
Signal Temporal Logic (STL) that allows value freezing. In this paper, we
define robustness measures for STL* by adapting the robustness measures
previously introduced for Metric Temporal Logic (MTL). Furthermore, we present
an algorithm for STL* robustness computation, which is implemented in the tool
Parasim. Application of STL* robustness analysis is demonstrated on case
studies.Comment: In Proceedings HSB 2013, arXiv:1308.572
Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation (extended abstract)
In this paper, a novel computational technique for finite discrete
approximation of continuous dynamical systems suitable for a significant class
of biochemical dynamical systems is introduced. The method is parameterized in
order to affect the imposed level of approximation provided that with
increasing parameter value the approximation converges to the original
continuous system. By employing this approximation technique, we present
algorithms solving the reachability problem for biochemical dynamical systems.
The presented method and algorithms are evaluated on several exemplary
biological models and on a real case study.Comment: In Proceedings CompMod 2011, arXiv:1109.104
Timed modelling of gene networks with arbitrarily precise expression discretization
AbstractIn this paper, a novel approach to discrete modeling of gene regulatory networks is presented. The approach is based on timed automata and is new in: (i) reflecting discrete abstraction of gene expression with arbitrary granularity, (ii) combining boolean logic with approximation of Hill kinetics. This is achieved by introducing delays that change dynamically with respect to current activity levels of regulating genes. The approach is implemented in UPPAAL and evaluated on benchmark models and on a biological case study