53 citations · 178 across the 25 of their papers we have counts for
4 papers · 1 filter
On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements
Elena Beretta, Cecilia Cavaterra, Luca Ratti
In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model, we determine an asymptotic expansion of the pertu…
Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities
Cecilia Cavaterra, Serena Dipierro, Alberto Farina +2
We give pointwise gradient bounds for solutions of (possibly non-uniformly) elliptic partial differential equations in the entire Euclidean space. The operator taken into account i…
Long-time Dynamics and Optimal Control of a Diffuse Interface Model for Tumor Growth
Cecilia Cavaterra, Elisabetta Rocca, Hao Wu
We investigate the long-time dynamics and optimal control problem of a diffuse interface model that describes the growth of a tumor in presence of a nutrient and surrounded by host…
Sliding mode control of the Hodgkin-Huxley mathematical model
Cecilia Cavaterra, Denis Enachescu, Gabriela Marinoschi
In this paper we deal with a feedback control design for the action potential of a neuronal membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical mod…