## Section: New Results

### Parameter Search w.r.t. Temporal Logic Properties

Participants : Grégory Batt, François Fages, Sylvain Pradalier, Sylvain Soliman, Aurélien Rizk.

In BIOCHAM , our method for solving QFLTL(R) constraints allows us to define a continuous degree of satisfaction of LTL(R) formulae in a given trace, and use it as a fitness function in continuous optimization methods(namely the Covariance Matrix Adaptation Evolutionary Strategy CMAES of Nikolaus Hansen from the TAO project-team.) in order to find unknown parameter values in a model satisfying a set of biological properties formalized in temporal logic [13] . This approach is heavily used in BIOCHAM for inferring unknown kinetic parameter values, initial concentrations, and/or control parameters from a formalization of the global behavior of the system in temporal logic.

The study of similar metrics and methods for stochastic processes is under investigation.