Applied Mathematics

University of Zaragoza, Spain

Assistant Professor

Email: [email protected]

Qualifications

2003 Ph.D., Applied Mathematics, University of Zaragoza, Spain

1998 B.Sc., Applied Mathematics, University of Zaragoza, Spain

Publications (Selected)

1. Wilczak, D., Serrano, S., Barrio, R. (2025). A mechanism for growth of topological entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(10).
2. Wilczak, D., Serrano, S., Barrio, R. (2025). A mechanism for growth of topological entropy and global changes of the shape of chaotic attractors. arXiv preprint arXiv:2504.04887.
3. Sabir, S., León-Triana, O., Serrano, S., Barrio, R., Pérez-García, V. M. (2025). Mathematical model of CAR T-cell therapy for a B-cell lymphoma lymph node. Bulletin of Mathematical Biology, 87(3), 1-33.
4. Serrano, S., Barrio, R., Martínez-Rubio, Á., Belmonte-Beitia, J., Pérez-García, V. M. (2024). Understanding the role of B cells in CAR T-cell therapy in leukemia through a mathematical model. Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(8).
5. Barrio, R., Ibáñez, S., Jover-Galtier, J. A., Lozano, Á., Martínez, M. Á., Mayora-Cebollero, A., Serrano, S. (2024). Dynamics of excitable cells: spike-adding phenomena in action. SeMA Journal, 81(1), 113-146.
6. Serrano, S., Barrio, R., Lozano, Á., Mayora-Cebollero, A., Vigara, R. (2024). Coupling of neurons favors the bursting behavior and the predominance of the tripod gait. Chaos, Solitons Fractals, 184, 114928.
7. Barrio, R., Jover-Galtier, J. A., Mayora-Cebollero, A., Mayora-Cebollero, C., Serrano, S. (2024). Synaptic dependence of dynamic regimes when coupling neural populations. Physical Review E, 109(1), 014301.
8. Barrio, R., Jover-Galtier, J. A., Martínez, M. A., Pérez, L., Serrano, S. (2023). Mathematical birth of Early Afterdepolarizations in a cardiomyocyte model. Mathematical Biosciences, 366, 109088.
9. Barrio, R., Lozano, Á., Mayora-Cebollero, A., Mayora-Cebollero, C., Miguel, A., Ortega, A., Serrano, S. (2023). Deep learning for chaos detection. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(7).
10. Barrio, R., Martínez, M. Á., Serrano, S., Pueyo, E. (2022). Dynamical mechanism for generation of arrhythmogenic early afterdepolarizations in cardiac myocytes: Insights from in silico electrophysiological models. Physical Review E, 106(2), 024402.
11. Mainar, E., Brufau, P., Galé, C., Espinosa, A., Serrano, S. (2022). Implementation of an efficient strategy to analyze the mathematical training required in undergraduate degrees in engineering and architecture. In The European Conference on Education 2022: Official Conference Proceedings (No. ART-2022-130696).
12. Barrio, R., Lozano, Á., Martínez, M. A., Rodríguez, M., Serrano, S. (2021). Routes to tripod gait movement in hexapods. Neurocomputing, 461, 679-695.
13. Barrio, R., Martínez, M., Pueyo, E., Serrano, S. (2021). Dynamical analysis of early afterdepolarization patterns in a biophysically detailed cardiac model. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(7).
14. Barrio, R., Ibáñez, S., Pérez, L., Serrano, S. (2021). Classification of fold/hom and fold/Hopf spike-adding phenomena. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(4).
15. Serrano, S., Martínez, M., Barrio, R. (2021). Order in chaos: Structure of chaotic invariant sets of square-wave neuron models. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(4).
16. Barrio, R., Ibáñez, S., Pérez, L., Serrano, S. (2020). Spike-adding structure in fold/hom bursters. Communications in Nonlinear Science and Numerical Simulation, 83, 105100.
17. Barrio, R., Lozano, Á., Rodríguez, M., Serrano, S. (2020). Numerical detection of patterns in CPGs: Gait patterns in insect movement. Communications in Nonlinear Science and Numerical Simulation, 82, 105047.
18. Barrio, R., Du, P., Jiang, H., Serrano, S. (2018). ORTHOPOLY: A library for accurate evaluation of series of classical orthogonal polynomials and their derivatives. Computer Physics Communications, 231, 146-162.
19. Wilczak, D., Serrano, S., Barrio, R. (2016). Coexistence and dynamical connections between hyperchaos and chaos in the 4D Rossler system: a computer-assisted proof. SIAM Journal on Applied Dynamical Systems, 15(1), 356-390.
20. Barrio, R., Rodríguez, M., Serrano, S., Shilnikov, A. (2015). Mechanism of quasi-periodic lag jitter in bursting rhythms by a neuronal network. Europhysics Letters, 112(3), 38002.
21. Barrio, R., Martínez, M. A., Serrano, S., Wilczak, D. (2015). When chaos meets hyperchaos: 4D Rössler model. Physics Letters A, 379(38), 2300-2305.
22. Barrio, R., Lefranc, M., Martínez, M. A., Serrano, S. (2015). Symbolic dynamical unfolding of spike-adding bifurcations in chaotic neuron models. Europhysics Letters, 109(2), 20002.

Profile Details

https://scholar.google.com/citations?user=TYJ_YkoAAAAJ&hl=es

https://www.researchgate.net/profile/Sergio-Serrano-10

https://cody.unizar.es/people/sserrano/

WoS Researcher ID: GCW-1957-2022