10 papers
Identification and control of SARS-CoV-2 epidemic model parameters
Gabriela Marinoschi
We propose a mathematical model with five compartments for the SARS-CoV-2 transmission: susceptible , undetected infected asymptomatic , undetected infected symptomatic ,…
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth
Pierluigi Colli, Hector Gomez, Guillermo Lorenzo +3
Prostate cancer can be lethal in advanced stages, for which chemotherapy may become the only viable therapeutic option. While there is no clear clinical management strategy fitting…
Existence for a free boundary problem describing a propagating disturbance
Gabriela Marinoschi
We prove the existence of a solution to an 1-D free boundary problem which describes the propagation of disturbances of shock type, modeled by a non standard variational inequality…
Solvability and sliding mode control for the viscous Cahn-Hilliard system with a possibly singular potential
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi
In the present contribution we study a viscous Cahn-Hilliard system where a further leading term in the expression for the chemical potential is present. This term consists of…
Exact controllability in minimal time of the Navier-Stokes periodic flow in a 2D-channel
Gabriela Marinoschi
This work is concerned with the necessary conditions of optimality for a minimal time control problem for the linearized Navier-Stokes periodic flow in a 2D-channel, subject…
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Pierluigi Colli, Hector Gomez, Guillermo Lorenzo +3
Cytotoxic chemotherapy is a common treatment for advanced prostate cancer. These tumors are also known to rely on angiogenesis, i.e., the growth of local microvasculature via chemi…