27 citations · 117 across the 14 of their papers we have counts for
14 papers
Decision making in heterogeneous self-propelled particle systems
Gissell Estrada-Rodriguez, Victor Villegas-Morral, Marie-Therese Wolfram
In this paper, we investigate the role of uninformed individuals in consensus formation within opinion-swarming models for self-propelled particles. The proposed models are inspire…
Macroscopic boundary conditions for a fractional diffusion equation in chemotaxis
Gissell Estrada-Rodriguez, Heiko Gimperlein
In this paper we examine boundary effects in a fractional chemotactic equation derived from a kinetic transport model describing cell movement in response to chemical gradients (ch…
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion
Jose A. Carrillo, Gissell Estrada-Rodriguez, Laszlo Mikolas +1
We address the inverse problem of identifying nonlocal interaction potentials in nonlinear aggregation-diffusion equations from noisy discrete trajectory data. Our approach involve…
Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit
Gissell Estrada-Rodriguez, Diane Peurichard, Xinran Ruan
In this work we first prove, by formal arguments, that the diffusion limit of nonlinear kinetic equations, where both the transport term and the turning operator are density-depend…
Efficient quantitative assessment of robot swarms: coverage and targeting Lévy strategies
Siobhan Duncan, Gissell Estrada-Rodriguez, Jakub Stocek +3
Biologically inspired strategies have long been adapted to swarm robotic systems, including biased random walks, reaction to chemotactic cues and long-range coordination. In this p…
Motility switching and front-back synchronisation in polarized cells
Gissell Estrada-Rodriguez, Benoit Perthame
The combination of protrusions and retractions in the movement of polarized cells leads to understand the effect of possible synchronisation between the two ends of the cells. This…
Macroscopic limit of a kinetic model describing the switch in T cell migration modes via binary interactions
Gissell Estrada-Rodriguez, Tommaso Lorenzi
Experimental results on the immune response to cancer indicate that activation of cytotoxic T lymphocytes (CTLs) through interactions with dendritic cells (DCs) can trigger a chang…
Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach
Luis Almeida, Gissell Estrada-Rodriguez, Lisa Oliver +3
Motivated by experimental observations in 3D/organoid cultures derived from glioblastoma, we develop a mathematical model where tumour aggregate formation is obtained as the result…
Fractional-order susceptible-infected model: definition and applications to the study of COVID-19 main protease
Luciano Abadias, Gissell Estrada-Rodriguez, Ernesto Estrada
We propose a model for the transmission of perturbations across the amino acids of a protein represented as an interaction network. The dynamics consists of a Susceptible-Infected…
Macroscopic descriptions of follower-leader systems
Sara Bernardi, Gissell Estrada-Rodriguez, Heiko Gimperlein +1
The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities…
Metaplex networks: influence of the exo-endo structure of complex systems on diffusion
Ernesto Estrada, Gissell Estrada-Rodriguez, Heiko Gimperlein
In a complex system the interplay between the internal structure of its entities and their interconnection may play a fundamental role in the global functioning of the system. Here…
Interacting particles with Lévy strategies: limits of transport equations for swarm robotic systems
Gissell Estrada-Rodriguez, Heiko Gimperlein
Lévy robotic systems combine superdiffusive random movement with emergent collective behaviour from local communication and alignment in order to find rare targets or track objects…
Space-time fractional diffusion in cell movement models with delay
Gissell Estrada-Rodriguez, Heiko Gimperlein, Kevin J. Painter +1
The movement of organisms and cells can be governed by occasional long distance runs, according to an approximate Lévy walk. For T cells migrating through chronically-infected brai…
Fractional Patlak-Keller-Segel equations for chemotactic superdiffusion
Gissell Estrada-Rodriguez, Heiko Gimperlein, Kevin J. Painter
The long range movement of certain organisms in the presence of a chemoattractant can be governed by long distance runs, according to an approximate Levy distribution. This article…