International audienceThe dynamics induced by the existence of different timescales in a system is explored, in the context of a model composed of activation and signalling modules regulated by a slowly evolving process, such as some particular protein-protein interactions or genetic-like dynamics. It is shown that slowly varying regulation patterns can induce rapid changes in the steady states of the (fast varying) signal transduction pathway, and lead to sustained oscillations. These results are illustrated by a reduced model of the Cdc2-cyclin B cell cycle oscillator. Using available experimental data, parameters of the model are estimated and found to agree with the requirements for a mechanism for oscillatory behaviour arising from cou...
AbstractThe original Well-Balanced (WB) framework of Greenberg and LeRoux (1996) [24] and Gosse (200...
We give an interpretation of the bilateral exit problem for Lévy processes via the study of an eleme...
AbstractThis paper is concerned with a phase-field model with temperature dependent constraint for t...
We describe a framework to reduce the computational effort to evaluate large deviation functions of ...
AbstractWe investigate nonlinear dynamics near an unstable constant equilibrium in the classical Kel...
AbstractWe develop further the approach to upper and lower bounds in quantum dynamics via complex an...
Towards practical realization of brain-inspired computing in a scalable physical system, we investig...
We consider a reaction-diffusion equation with a half-Laplacian. In the case where the solution is i...
International audienceWe present a new mathematical model of the electric activity of the heart. In ...
We consider the temporal homogenization of linear ODEs of the form ẋ =Ax+ϵP(t)x+f(t), where P(t) is ...
We discuss the analytic computation of autocorrelation functions for the generalized Hybrid Monte Ca...
Instead of usual approach, applying displacement-displacement Green’s functions, the momentum-moment...
Nowadays a lot of interest in Systems Theory is directed to problems in which separate systems are c...
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the cen...
The kind support of Czech Science Foundation project No. 21-32122J and of the RVO 68378297 instituti...
AbstractThe original Well-Balanced (WB) framework of Greenberg and LeRoux (1996) [24] and Gosse (200...
We give an interpretation of the bilateral exit problem for Lévy processes via the study of an eleme...
AbstractThis paper is concerned with a phase-field model with temperature dependent constraint for t...
We describe a framework to reduce the computational effort to evaluate large deviation functions of ...
AbstractWe investigate nonlinear dynamics near an unstable constant equilibrium in the classical Kel...
AbstractWe develop further the approach to upper and lower bounds in quantum dynamics via complex an...
Towards practical realization of brain-inspired computing in a scalable physical system, we investig...
We consider a reaction-diffusion equation with a half-Laplacian. In the case where the solution is i...
International audienceWe present a new mathematical model of the electric activity of the heart. In ...
We consider the temporal homogenization of linear ODEs of the form ẋ =Ax+ϵP(t)x+f(t), where P(t) is ...
We discuss the analytic computation of autocorrelation functions for the generalized Hybrid Monte Ca...
Instead of usual approach, applying displacement-displacement Green’s functions, the momentum-moment...
Nowadays a lot of interest in Systems Theory is directed to problems in which separate systems are c...
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the cen...
The kind support of Czech Science Foundation project No. 21-32122J and of the RVO 68378297 instituti...
AbstractThe original Well-Balanced (WB) framework of Greenberg and LeRoux (1996) [24] and Gosse (200...
We give an interpretation of the bilateral exit problem for Lévy processes via the study of an eleme...
AbstractThis paper is concerned with a phase-field model with temperature dependent constraint for t...