Statistical model checking-based analysis of biological networks

B Liu, BM Gyori, PS Thiagarajan - Automated Reasoning for Systems …, 2019 - Springer
We introduce a framework for analyzing ordinary differential equation (ODE) models of
biological networks using statistical model checking (SMC). A key aspect of our work is the …

Statistical model checking based calibration and analysis of bio-pathway models

SK Palaniappan, BM Gyori, B Liu, D Hsu… - … Methods in Systems …, 2013 - Springer
We present a statistical model checking (SMC) based framework for studying ordinary
differential equation (ODE) models of bio-pathways. We address cell-to-cell variability …

Approximate probabilistic analysis of biopathway dynamics

B Liu, A Hagiescu, SK Palaniappan… - …, 2012 - academic.oup.com
Motivation: Biopathways are often modeled as systems of ordinary differential equations
(ODEs). Such systems will usually have many unknown parameters and hence will be …

Exploring parameter space of stochastic biochemical systems using quantitative model checking

L Brim, M Češka, S Dražan, D Šafránek - International Conference on …, 2013 - Springer
We propose an automated method for exploring kinetic parameters of stochastic
biochemical systems. The main question addressed is how the validity of an a priori given …

Analysing biochemical oscillation through probabilistic model checking

P Ballarini, R Mardare, I Mura - Electronic Notes in Theoretical Computer …, 2009 - Elsevier
Automated verification of stochastic models has been proved to be an effective technique for
the analysis of a large class of stochastically behaving systems. In this paper we show how …

[PDF][PDF] Model checking for biological systems: languages, algorithms, and applications

Q Wang - 2016 - cs.cmu.edu
Formal methods hold great promise in promoting further discovery and innovation for
complicated biological systems. Models can be tested and adapted inexpensively in-silico to …

[PDF][PDF] Statistical model checking for complex stochastic models in systems biology

SK Jha, EM Clarke, CJ Langmead… - Proceedings …, 2009 - reports-archive.adm.cs.cmu.edu
Recently, there has been considerable interest in the use of Model Checking for Systems
Biology. Unfortunately, the state space of stochastic biological models is often too large for …

Synthesis and infeasibility analysis for stochastic models of biochemical systems using statistical model checking and abstraction refinement

SK Jha, CJ Langmead - Theoretical Computer Science, 2011 - Elsevier
The stochastic dynamics of biochemical reaction networks can be modeled using a number
of succinct formalisms all of whose semantics are expressed as Continuous Time Markov …

On robustness analysis of stochastic biochemical systems by probabilistic model checking

L Brim, M Ceska, S Drazan, D Safranek - arXiv preprint arXiv:1310.4734, 2013 - arxiv.org
This report proposes a novel framework for a rigorous robustness analysis of stochastic
biochemical systems. The technique is based on probabilistic model checking. We adapt the …

Statistical inference and verification of chemical reaction networks

M Bentriou - 2021 - theses.hal.science
Chemical Reaction Networks (CRN) constitute a formalism used to model biological
processes. When the population number is not significant and the system is well-stirred, a …