I am a 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, 2025 [article].
E. Franco, J. J. L. Velázquez, The adaptation property in non-equilibrium chemical systems, Journal of Mathematical Biology, Volume 92, Number 3, 2026 [article]
Preprints
E. Franco, B. Kepka and J. J. L. Velázquez, Characterizing the detailed balance property by means of measurements in chemical networks, accepted Archive for Rational Mechanics and Analysis, 2026. arXiv:2402.12935 [pdf]
E. Franco, J. J. L. Velázquez, Critical lack of equilibrium in stochastic kinetic proofreading, arXiv:2508.19983[pdf]2508.19982508.1
Contact
University of Bonn, Institute for Applied Mathematics, Endenicher Allee 60 D-53115 Bonn, Germany.
E-mail address: franco@iam.uni-bonn.de
