Preprints and publications

• (2024) Frank Ernesto Alvarez and Yannick Viossat. Tumor containment: a more general mathematical analysis. (Published in Journal of Mathematical Biology) HAL link, ArXiv link, Springer Link.

• (2024) Frank Ernesto Alvarez, Jules Guilberteau. A particle method for non-local advection-selection-mutation equations. (Published in Mathematical Models & Methods in Applied Sciences) Journal link, HAL link, ArXiv link.

• (2023) Frank Ernesto Alvarez, Kleber Carrapatoso and Stéphane Mischler. On the self-similar stability of the parabollic-parabollic Keller Segel equation. (Preprint) HAL link, ArXiv link.

• (2023) Frank Ernesto Alvarez and Jean Clairambault. Phenotype divergence and cooperation in isogenic multicellularity and in cancer. (To appear in Mathematical Medicine and Biology) HAL link, ArXiv link.

• (2022) Frank Ernesto Alvarez, José Carrillo and Jean Clairambault. Evolution of a structured cell population endowed with plasticity of traits under constrains on and between the traits. (Published in Journal of Mathematical Biology) HAL link, Springer link. 

• (2018) Frank Ernesto Alvarez, Julián Bravo Castillero, Raúl Guinovart Díaz, Ángela León Macías and Reinaldo Rodríguez Ramos. Método de las diferencias finitas aplicado a un problema elíptico unidimensional con condiciones de discontinuidad. (Published in Revista Ciencias Matemáticas) Journal link

• (2018) Frank Ernesto Alvarez, Julián Bravo Castillero, M.E. Cruz, Raúl Guinovart Díaz, Leslie D. Pérez Fernández, Reinaldo Rodríguez Ramos and F. J. Sabina. Reiterated homogenization of a laminate with imperfect contact: gain-enhancement of effective properties. (Published in Applied Mathematics and Mechanics) Springer link.

• (2014) Frank Ernesto Alvarez, Julián Bravo Castillero, Raúl Guinovart Díaz, Leslie D. Pérez Fernández and Reinaldo Rodríguez Ramos. Homogeneización reiterada de un problema de contorno unidimensional. (Published in Visión Electrónica) Journal link.

 Events and presentations

• (June 10, 2022) Seminar "Modélisation, Analyse et Simulation".  A link between cancer and the emergence of multicellularity. Université Paris Descartes.

• (May 03, 2022) Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022. Modelling bet-hedging: A link between cancer and the emergence of multicellularity. Isaac Newton Institute. Cambridge University. (slides)

• (May. 2021) Café MAMBA Seminary. Study of a model describing bet-hedging. LJLL, Paris, France.

•  (Mar. 2017) VI Congress of Numerical Mathematics and Optimization Cuba-Mexico. Finite differences method applied to an elliptic problem with discontinuity conditions. Havana, Cuba.

• (Feb. 2017) Mathematics and Physics meet in La Habana. Reiterated homogenization of an elliptic problem with discontinuity conditions. Havana, Cuba.

• (Feb. 2016) 1st. European-Latin-American Conference of Theoretical and Applied Mechanics. Reiterated homogenization of an elliptic problem with discontinuity conditions. Havana, Cuba.

• (Feb. 2015) XVIII International Workshop on Wavelets, Differential Equations and Random Matrices. Reiterated homogenization of an elliptic problem with continuity conditions. Havana, Cuba.

• (Feb. 2014) XVIII International Workshop on Wavelets, Differential Equations and Random Matrices. Reiterated homogenization of an elliptic problem. Havana, Cuba.