# Model Checking CSL for Markov Population Models

@inproceedings{Spieler2014ModelCC, title={Model Checking CSL for Markov Population Models}, author={David Spieler and Ernst Moritz Hahn and Lijun Zhang}, booktitle={QAPL}, year={2014} }

Markov population models (MPMs) are a widely used modelling formalism in the area of computational biology and related areas. The semantics of a MPM is an infinite-state continuous-time Markov chain. In this paper, we use the established continuous stochastic logic (CSL) to express properties of Markov population models. This allows us to express important measures of biological systems, such as probabilistic reachability, survivability, oscillations, switching times between attractor regions…

## 6 Citations

### Numerical analysis of long-run properties for Markov population models

- Computer Science
- 2014

This doctoral thesis presents a highly efficient method to compute a finite state space truncation entailing most of the steady state probability mass and is combined with truncation based reachability analysis and aggregation to derive state wise steady state bounds.

### Bounding Mean First Passage Times in Population Continuous-Time Markov Chains

- Mathematics, Computer ScienceQEST
- 2020

A technique is proposed that extends recently developed methods using semi-definite programming to determine bounds on mean first passage times for a class of continuous-time Markov chains that captures stochastic interactions between groups of identical agents.

### Trend-Based Analysis of a Population Model of the AKAP Scaffold Protein

- Computer ScienceTrans. Comp. Sys. Biology
- 2012

This work formalises a continuous-time Markov chain with multi-dimensional discrete state space model of the AKAP scaffold protein as a crosstalk mediator between two biochemical signalling pathways and shows how stochastic trends can be implemented in a guarded-command style specification language for transition systems.

### Computing Cumulative Rewards Using Fast Adaptive Uniformization

- Computer ScienceACM Trans. Model. Comput. Simul.
- 2015

This article extends fast adaptive uniformization to handle expected reward properties that reason about the model behavior until time t, and integrates the method into the probabilistic model checker PRISM and applies it to a range of biological models.

### Quantitative Aspects of Programming Languages and Systems over the past $2^4$ years and beyond

- Computer ScienceQAPL@ETAPS
- 2019

The aim of this survey is to revisit such achievements and results from the standpoint of QAPL and its community.

### Quantitative Evaluation of Systems: 17th International Conference, QEST 2020, Vienna, Austria, August 31 – September 3, 2020, Proceedings

- Computer ScienceQEST
- 2020

Two reliability analysis studies from two large, distributed systems are presented: one that looks into GPGPU error prediction at the Titan, a large scale highperformance-computing system at ORNL, and one that analyzes the failure characteristics of solid state drives at a Google data center and hard disk drives at the Backblaze data center.

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