Publications

[16] Jose A. Carrillo, Gissell Estrada-Rodriguez, Susana Gomes and Hideki Murakawa. Parameter estimation for cell-cell adhesion models with partial trajectory data. In preparation.

[15] Jose A. Carrillo, Gissell Estrada-Rodriguez, Laszlo Mikolas and Sui Tang. Robust estimation of interaction potential in nonlinear nonlocal equations with a gradient flow structure from noisy data. Submitted 2024, arXiv:2402.06355.

[14] Manuel Miranda, Gissell Estrada-Rodriguez and Ernesto Estrada. What's in a simplicial complex? A metaplex-based approach to its structure and dynamics. Entropy 25, no. 12 (2023): 1599.

[13] Gissell Estrada-Rodriguez, Diane Peurichard and Xinran Ruan. Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit. Submitted, 2023.

[12] Gissell Estrada-Rodriguez and Benoit Perthame. Motility switching and front-back synchronisation in polarized cells. Journal of Nonlinear Sciences 32, no. 40, 2022.

[11] Siobhan Duncan*, Gissell Estrada-Rodriguez*, Jakub Stocek*, Mauro Dragone, Patricia Vargas and Heiko Gimperlein. Efficient quantitative assessment of robot swarms: coverage and targeting Levy strategies. Bioinspiration & Biomimetics 17, no.3, 2022. Slides.

[10] Luis Almeida, Gissell Estrada-Rodriguez*, Lisa Oliver, Diane Peurichard, Alexandre Poulain and Francois Vallette. Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach.  arXiv:2007.12454.  Journal of Mathematical Biology 83, no. 3, pp. 1-41, 2021. 

[9] Sara Bernardi, Gissell Estrada-Rodriguez, Heiko Gimperlein and Kevin J. Painter. Macroscopic descriptions of follower-leader systems. Kinetic and Related Models, 14 (6), pp.981-1002, 2021.

[8] Gissell Estrada-Rodriguez and Tommaso Lorenzi. Macroscopic limit of a kinetic model describing the switch in T cell migration modes via binary interactions. European Journal of Applied Mathematics, pp. 1-27, 2021. 

Cambridge Core blog

[7] Luciano Abadias, Gissell Estrada-Rodriguez and Ernesto Estrada. Fractional logarithmic susceptible-infected model. Definition and applications to the study of COVID-19 main protease. arXiv:2004.11260. Fractional Calculus and Applied Analysis, Vol. 23, No 3 (2020), pp. 635–655.  

SIAM news: Networks-Fractional Calculus Alliance vs COVID-19.

[6] Gissell Estrada-Rodriguez, Ernesto Estrada and Heiko Gimperlein. Metaplex networks: Influence of the exo-endo structure of complex systems on diffusion.  Supplementary Information. SIAM Review 62, Research Spotlights, 2020. Slides.

[5] Gissell Estrada-Rodriguez, Heiko Gimperlein and Jakub Stocek. Nonlocal interface problems: Modeling, regularity, finite element approximation. Preprint available.

[4] Gissell Estrada-Rodriguez and Heiko Gimperlein. Interacting particles with Levy strategies: Limits of transport equations for swarm robotic systems. SIAM Journal on Applied Mathematics, 80(1), 476–498, 2020. Slides.

[3]  Gissell Estrada-Rodriguez, Heiko Gimperlein, Kevin J. Painter and Jakub Stocek. Space-time fractional diffusion  in cell movement models with delay.  Mathematical Models and Methods in Applied Sciences, 29 (2019), 65-88. Slides.

[2] Gissell Estrada-Rodriguez, Heiko Gimperlein and Kevin J. Painter. Fractional Patlak-Keller-Segel equations for chemotactic superdiffusion. SIAM Journal on Applied Mathematics, 78(2): 1155-1177, 2018. Slides.

[1] Gissell Estrada-Rodriguez and Heiko Gimperlein. Generalized finite elements for blow-up solutions to reaction-diffusion equations. conference: Proceedings of the 25th UK Conference of the Association for Computational Mechanics in Engineering, 81-84 , 2017. Slides.

 G. Estrada-Rodriguez, A. Gonzalez-Noa and R. Cardenas. On the possibilities of existence of photosynthetic life around Alpha Centauri B. Revista Cubana Fisica 36, 114, 2019. ( I started this work in my second year of BSc in Physics in Cuba).

Notes

Useful general notes by giants