I am a Hausdorff PostDoc at the Hausdorff Center for Mathematics under the supervision of Prof. Juan J. L. Velázquez. I obtained my PhD in Mathematics under the supervision of Prof. Mats Gyllenberg, Prof Odo Diekmann and Dr. Marina A. Ferreira at the University of Helsinki.
Research interests:
Mathematical biology
-Structured population dynamics
-Renewal equations
-Biochemical networks
-Non-equilibrium chemical systems
-Kinetic proofreading models
Smoluchowski coagulation equations
-Long-time behaviour of solutions
-Self-similar solutions
List of publications:
E. Franco, M. Gyllenberg, O. Diekmann, One dimensional reduction of a renewal equation for a measure-valued function of time describing population dynamics, Acta Applicandae Mathematicae, Volume 175, Number 12, 2021 [article]
M. A. Ferreira, E.Franco, J. J. L. Velázquez, On the self-similar behaviour of coagulation systems with injection, Annales de l'Institut Henri Poincaré C, Volume 40, Number 4, 2022 [article]
E. Franco, O. Diekmann, M. Gyllenberg, Modelling physiologically structured populations: renewal equations and partial differential equations, Journal of Evolution Equations,Volume 23, Number 46, 2023 [article]
I. Cristian, M. A. Ferreira, E. Franco, J. J. L. Velázquez , Long-time asymptotics for coagulation equations with injection that do not have stationary solutions, Archive for Rational Mechanics and Analysis, Volume 247, Number 103, 2023 [article]
M. A. Ferreira, E. Franco, J. Lukkarinen, A. Nota and J. J. L. Velázquez, Coagulation equations with source leading to anomalous self-similarity, Journal of Physics A: Mathematical and Theoretical, Volume 56, Number 48, 2023 [article]
E. Franco, B. Kepka and J. J. L. Velázquez, Description of chemical systems by means of response functions, Journal of Mathematical Biology, Volume 90, Number 31, 2025 [article]
E. Franco, J. J. L. Velázquez, A stochastic version of the Hopfield-Ninio kinetic proofreading model, SIAM Journal on Applied Mathematics,Volume 85, Number 2, 2025 [article]
E. Franco, J. J. L. Velázquez, The detailed balance property and chemical systems out of equilibrium, Bulletin of Mathematical Biology, Volume 87, Number 108 [article].
Preprints
E. Franco, B. Kepka and J. J. L. Velázquez, Characterizing the detailed balance property by means of measurements in chemical networks, arXiv:2402.12935, 2024 [pdf]
E. Franco, J. J. L. Velázquez, The adaptation property in non-equilibrium chemical systems, arXiv: 2502.17357 [pdf]
Contact
University of Bonn, Institute for Applied Mathematics, Endenicher Allee 60 D-53115 Bonn, Germany.
E-mail address: franco@iam.uni-bonn.de
