Now showing items 1-9 of 9

    • Efficient quantitative assessment of robot swarms: coverage and targeting Lévy strategies 

      Duncan, S.; Estrada Rodríguez, Gissell; Stocek, J.; Dragone, Mauro; Vargas, Patricia A.; Gimperlein, Heiko (Institute of Physics (IOP), 2022-03-30)
      Article
      Open Access
      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 paper we apply analysis tools developed for ...
    • Fractional Patlak--Keller--Segel equations for chemotactic superdiffusion 

      Estrada Rodríguez, Gissell; Gimperlein, Heiko; Painter, Kevin J. (Society for Industrial and Applied Mathematics (SIAM), 2018-01)
      Article
      Open Access
      The long range movement of certain organisms in the presence of a chemoattractant can be governed by long distance runs, according to an approximate Lévy distribution. This article clarifies the form of biologically relevant ...
    • Interacting particles with Lévy strategies: limits of transport equations for swarm robotic systems 

      Estrada Rodríguez, Gissell; Gimperlein, Heiko (Society for Industrial and Applied Mathematics (SIAM), 2020-01)
      Article
      Open Access
      Lévy robotic systems combine superdiffusive random movement with emergent col-lective behavior from local communication and alignment in order to find rare targets or track objects.In this article we derive macroscopic ...
    • Macroscopic descriptions of follower-leader systems 

      Bernardi, Sara; Estrada Rodríguez, Gissell; Gimperlein, Heiko; Painter, Kevin J. (2021)
      Article
      Open Access
      The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities remains a challenge from the perspective ...
    • Macroscopic limit of a kinetic model describing the switch in T cell migration modes via binary interactions 

      Estrada Rodríguez, Gissell; Lorenzi, Tommaso (2021-12-23)
      Article
      Open Access
      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 change in CTL migration patterns. In particular, ...
    • Motility switching and front–back synchronisation in polarised cells 

      Estrada Rodríguez, Gissell; Perthame, Benoit (2022-06)
      Article
      Open Access
      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 syn- chronisation, in turn, could lead ...
    • Space-time fractional diffusion in cell movement models with delay 

      Estrada Rodríguez, Gissell; Gimperlein, Heiko; Painter, Kevin J.; Stocek, J. (2019-01)
      Article
      Open Access
      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 brain tissue, runs are further interrupted by ...
    • Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach 

      Estrada Rodríguez, Gissell; Almeida, Luis; Oliver, Lisa; Peurichard, Diane; Poulain, Alexandre; Vallette, François (2021-09)
      Article
      Open Access
      Motivated by experimental observations in 3D/organoid cultures derived from glioblastoma, we propose a novel mechano-transduction mechanism where the introduction of a chemotherapeutic treatment induces mechanical changes ...
    • What is in a simplicial complex? A metaplex-based approach to its structure and dynamics 

      Miranda, Manuel; Estrada Rodríguez, Gissell; Estrada, Ernesto (2023-11-29)
      Article
      Open Access
      Geometric realization of simplicial complexes makes them a unique representation of complex systems. The existence of local continuous spaces at the simplices level with global discrete connectivity between simplices makes ...