3 papers
Optimal Bilinear control restricted to the three-dimensional chemo-repulsion model with potential production
Francisco Guillen-Gonzalez, Exequiel Mallea-Zepeda, Maria A. Rodriguez-Bellido +1
In this paper we study the following three-dimensional parabolic-parabolic chemo-repulsion model with potential production, logistic reaction and bilinear control, defined in $Q=(0…
A new optimal control algorithm for the Keller-Segel problem
F. Guillen-Gonzalez, F. Palmero-Ramos, M. A. Rodriguez-Bellido +1
In this work we introduce a new optimal control algorithm for the Keller-Segel chemo-attraction system, where both boundary and distributed controls are considered and both are ass…
A new mathematical model for cell motility with nonlocal repulsion from saturated areas
Carlo Giambiagi Ferrari, Francisco Guillen-Gonzalez, Mayte Perez-Llanos +1
The main purpose of this work is the mathematical modelling of large populations of cells under different deterministic interactions among themselves, in balance with naturally ran…