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Biologists use diagrams to represent complex systems of interaction between molecular species. These graphical notations encompass two types of information: interactions (e.g. protein complexation, modification, binding to a gene, etc.) and regulations (of an interaction or a transcription). Based on these structures, mathematical models can be developed by equipping such molecular interaction networks with kinetic expressions leading to quantitative models of mainly two kinds: ordinary differential equations for a continuous interpretation of the kinetics and continuous-time Markov chains for a stochastic interpretation of the kinetics. Since 2002, we investigate the transposition of programming concepts and tools to the analysis of living processes at the cellular level.
@InProceedings{fages:LIPIcs.ICLP.2010.2,
author = {Fages, Fran\c{c}ois},
title = {{A Logical Paradigm for Systems Biology}},
booktitle = {Technical Communications of the 26th International Conference on Logic Programming},
pages = {2--3},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-17-0},
ISSN = {1868-8969},
year = {2010},
volume = {7},
editor = {Hermenegildo, Manuel and Schaub, Torsten},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICLP.2010.2},
URN = {urn:nbn:de:0030-drops-25776},
doi = {10.4230/LIPIcs.ICLP.2010.2},
annote = {Keywords: temporal logic, model-checking, systems biology, hybrid systems}
}