Publication Details
Abstraction-based segmental simulation of reaction networks using adaptive memoization
Andriushchenko Roman, Ing. (DITS FIT BUT)
Češka Milan, doc. RNDr., Ph.D. (DITS FIT BUT)
Křetínský Jan (TUM)
Martiček Štefan, Ing. (DITS FIT BUT)
Šafránek David, doc. Mgr., Ph.D. (FI MUNI)
Reaction networks, stochastic simulation, population abstraction, memoization
Background
Stochastic models are commonly employed in the system and synthetic biology to study the effects of stochastic fluctuations emanating from reactions involving species with low copy-numbers. Many important models feature complex dynamics, involving a state-space explosion, stiffness, and multimodality, that complicate the quantitative analysis needed to understand their stochastic behavior. Direct numerical analysis of such models is typically not feasible and generating many simulation runs that adequately approximate the model's dynamics may take a prohibitively long time.
Results
We propose a new memoization technique that leverages a population-based abstraction and combines previously generated parts of simulations, called segments, to generate new simulations more efficiently while preserving the original system's dynamics and its diversity. Our algorithm adapts online to identify the most important abstract states and thus utilizes the available memory efficiently.
Conclusion
We demonstrate that in combination with a novel fully automatic and adaptive hybrid simulation scheme, we can speed up the generation of trajectories significantly and correctly predict the transient behavior of complex stochastic systems.
@ARTICLE{FITPUB13314, author = "Martin Helfrich and Roman Andriushchenko and Milan \v{C}e\v{s}ka and Jan K\v{r}et\'{i}nsk\'{y} and \v{S}tefan Marti\v{c}ek and David \v{S}afr\'{a}nek", title = "Abstraction-based segmental simulation of reaction networks using adaptive memoization", pages = "1--24", journal = "BMC Bioinformatics", volume = 25, number = 1, year = 2024, ISSN = "1471-2105", doi = "10.1186/s12859-024-05966-5", language = "english", url = "https://www.fit.vut.cz/research/publication/13314" }