Temporal Logic Modeling of Dynamical Behaviors: First-Order Patterns and Solvers

International audienceThis chapter describes how quantitative temporal logic formulas can be used to formalize imprecise dynamical behaviors of biological systems, and how such a formal specification of experimental observations can be used to calibrate models to real data, in a more versatile way than with curve fitting algorithms. It presents useful patterns of first-order temporal logic formulas to facilitate their use by the modelers, present efficient solvers dedicated to them, and illustrate their use to build a coupled model of the cell cycle and the circadian molecular clock with period and phase constraints