4 papers
Nonlocal logistics and nonlinear productions in an attraction-repulsion chemotaxis model: analysis of the global well-posedness
Rafael Díaz Fuentes, María Victoria Redondo Neble, Giuseppe Viglialoro
This paper investigates a {three-component} chemotaxis system involving both attraction and repulsion effects, as well as a nonlocal logistic-type source term. Mathematically, if $…
Tumor-immune cell interactions by a fully parabolic chemotaxis model with logistic source
Rafael Díaz Fuentes
This work studies the existence of classical solutions to a class of chemotaxis systems reading \[\begin{cases} u_t = Δu-χ\nabla\cdot(u \nabla v) + μ_1 u^k -μ_2 u^{k+1}, & \text{in…
Global existence and lower bounds in a class of tumor-immune cell interactions chemotaxis systems
Shanmugasundaram Gnanasekaran, Alessandro Columbu, Rafael Díaz Fuentes +1
This paper investigates the properties of classical solutions to a class of chemotaxis systems that model interactions between tumor and immune cells. Our focus is on examining the…
Subdivision based snakes for contour detection
Rafael Díaz Fuentes, Javier Pino Torres, Victoria Hernández Mederos +1
In this paper we propose a method for computing the contour of an object in an image using a snake represented as a subdivision curve. The evolution of the snake is driven by its c…