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Rule-based Modeling in Systems Biology

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François Fages ­ Tutorial ICSB'10 Edinburgh 1

Rule-based Modeling in Systems Biology

" Better than one semantics: hierarchy of semantics (abstract interpretation) Boolean/Discrete/Stochastic/ODE interpretations of reaction rules

Reaction models  structural influence graph (circuit analysis) Consistency checks, protein functions (ontologies as types)

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Rule-based Modeling in Systems Biology

" Better than one semantics: hierarchy of semantics (abstract interpretation) Boolean/Discrete/Stochastic/ODE interpretations of reaction rules

Reaction models  structural influence graph (circuit analysis) Consistency checks, protein functions (ontologies as types)

" Better than models: hierarchies of models ( meta-models ) Graphical operations for reducing and relating models

Delete/merge molecules/reactions  subgraph epimorphisms Query language for model repositories

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François Fages ­ Tutorial ICSB'10 Edinburgh 3

Rule-based Modeling in Systems Biology

" Better than one semantics: hierarchy of semantics (abstract interpretation) Boolean/Discrete/Stochastic/ODE interpretations of reaction rules

Reaction models  structural influence graph (circuit analysis) Consistency checks, protein functions (ontologies as types)

" Better than models: hierarchies of models ( meta-models ) Graphical operations for reducing and relating models

Delete/merge molecules/reactions  subgraph epimorphisms Query language for model repositories

" Better than simulation: model-checking, temporal logic constraints

Formalizing experimental observations with temporal logic formulae Query language for all possible behaviors in CTL

Continuous satisfaction degree in [0,1] of LTL(R) properties

Parameter inference, robustness, sensitivity analyses w.r.t. LTL(R) spec

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Conclusion

" New focus in Systems Biology: formal methods from Computer Science Beyond diagrammatic notations: formal semantics, static analyses Beyond curve fitting: high-level specifications in temporal logic Automatic model-checking. Parameter optimization

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François Fages ­ Tutorial ICSB'10 Edinburgh 5

Conclusion

" New focus in Systems Biology: formal methods from Computer Science Beyond diagrammatic notations: formal semantics, static analysis Beyond curve fitting: high-level specifications in temporal logic Automatic model-checking. Parameter optimization

" New focus in Programming Theory: numerical methods from Applied Math.

Beyond discrete machines: stochastic or continuous or hybrid dynamics Quantitative transition systems

Temporal logic constraint solving, continuous satisfaction degree, optimization

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Conclusion

" New focus in Systems Biology: formal methods from Computer Science Beyond diagrammatic notations: formal semantics, static analysis Beyond curve fitting: high-level specifications in temporal logic Automatic model-checking. Parameter optimization

" New focus in Programming Theory: numerical methods from Applied Math.

Beyond discrete machines: stochastic or continuous or hybrid dynamics Quantitative transition systems

Temporal logic constraint solving, continuous satisfaction degree, optimization

" Synthetic Biology

Program the living with programming tools Computational design and optimization tools

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François Fages ­ Tutorial ICSB'10 Edinburgh 7

References

" I will put the slides on my web page (papers available) http://contraintes.inria.fr/~fages/BioTeaching

" Biocham 3.1 http://contraintes.inria.fr/Biocham

" S. Gay, S. Soliman, F. Fages A graphical method for reducing and relating models. ECCB 10, Bioinformatics 2010.

"

"

" A. Rizk, G. Batt, F. Fages, S. Soliman. A computational method for robustness analysis. ISMB 09, Bioinformatics 2009.

" A. Rizk, G. Batt, F. Fages, S. Soliman.On a continuous satisfaction degree and for temporal logic formulae applications to systems biology. CMSB 08, Springer Verlag LNCS 2008.

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Acknowledgments

" Contraintes group at INRIA Paris-Rocquencourt on this topic:

Grégory Batt, Sylvain Soliman, Elisabetta De Maria, Sylvain Pradalier,

Aurélien Rizk, Steven Gay, Faten Nabli, Xavier Duportet, Janis Ulhendorf, Dragana Jovanovska

" EraSysBio C5Sys (follow up of FP6 Tempo) on cancer chronotherapies, coord.

Francis Lévi, INSERM; Jean Clairambault INRIA; &

Coupled models of cell and circadian cycles, p53/mdm2, cytotoxic drugs.

" INRIA/INRA project Regate coord. F. Clément INRIA; E. Reiter, D. Heitzler Models of GPCR Angiotensine and FSH signaling.

" ANR project Calamar, coord. C. Chaouiya, D. Thieffry Univ. Marseille, L.

Calzone Curie Institute

Modularity and Compositionality in regulatory networks.

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