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PREPRINTS
- Antonio J. Ortiz, Víctor Martín, David Romero, Antoni Guillamon, Jesús Giraldo. Ligand-receptor time-dependent binding kinetics and functionality in a heterodimeric system. (August, 2023)
- Pau Fisco, David Aquilué, Néstor Roqueiro, Enric Fossas, Antoni Guillamon. Empirical modelling and prediction of neuronal dynamics. (August, 2023)
- Antonio J. Ortiz, David Romero, Antoni Guillamon, Jesús Giraldo. A mathematical formalism to quantify drug-target residence time. (June, 2023)
RESEARCH PAPERS
- Ernest Fontich, Antoni Guillamon, Júlia Perona, Josep Sardanyés. Functional shift-induced degenerate transcritical Neimark-Sacker bifurcation in a discrete hypercycle.International Journal of Bifurcation and Chaos, accepted (2024).
- Armengol Gasull, Antoni Guillamon, Víctor Mañosa. Counting configurations of limit cycles and centers, Buletinul Academiei de Útiințe a Republicii Moldova. Matematica, 101 (1), 78-96 (2023).
- Catalina Vich, Paolo Massobrio, Antoni Guillamon. Effects of the short term plasticity in UP-DOWN cortical dynamics, Communications in Nonlinear Science and Numerical Simulation 121, 107207 (2023).
- Óscar Díaz, Victor Martín, Pedro Renault, David Romero, Antoni Guillamon, Jesús GiraldoAllosteric Binding Cooperativity in a Kinetic Context, Drug Discovery Today 28 (2), 103441. (2022).
- Patricia León-Cabrera, Antoni Guillamon, David Cucurell, Antoni Rodriguez-Fornells. The Beauty of Language Structure: A Single-case FMRI Study of Palindrome Creation., Journal of Neurolinguistics 63, 101086 (2022). See a preliminary version PsyArXiv
- Ernest Fontich, Antoni Guillamon, J. Tomás Lázaro, Tomás Alarcón, Blai Vidiella, Josep Sardanyés. Critical slowing down close to a global bifurcation of a curve of quasi-neutral equilibria, Communications in Nonlinear Science and Numerical Simulation 104, 106032 (2021).
- Ricard Solé, Nuria Conde-Pueyo, Antoni Guillamon, Victor Maull, Jordi Pla, Josep Sardanyés and Blai Vidiella. Synthetic criticality in cellular brains, J. Phys. Complex. 2 041001 (2021).
- Blai Vidiella, Antoni Guillamon, Josep Sardanyés, Victor Maull, Jordi Pla, Nuria Conde-Pueyo, Ricard Solé. Engineering self-organized criticality in living cells, Nature Communications 12, 4415 (2021). See a preliminary version in Blai Vidiella, Antoni Guillamon, Josep Sardanyés, Victor Maull, Nuria Conde-Pueyo, Ricard Solé. Engineering self-organized criticality in living cells, BioRxiV doi: 10.1101/2020.11.16.385385 (2020).
- Tomás Alarcón, Josep Sardanyés, Antoni Guillamon, Javier A. Menendez. Bivalent chromatin as a therapeutic target in cancer: An in silico predictive approach for combining epigenetic drugs, PLOS Computational Biology 17 (6), 1-25 (2021).
- Catalina Vich, Rafel J. Prohens, Antonio E. Teruel, Antoni Guillamon. Estimation of synaptic activity during neuronal oscillations, Mathematics 8 (12), 2153 (2020).
- Elif Köksal Ersöz, Mathieu Desroches, Antoni Guillamon, John Rinzel, Joël Tabak. Canard-induced complex oscillations in an excitatory network, Journal of Mathematical Biology 80 (7), 2075-2107 (2020). See also a preliminary version here
- Oriol Castejón, Antoni Guillamon. Phase-Amplitude Dynamics in terms of Extended Response Functions: Invariant Curves
and Arnold Tongues, Communications in Nonlinear Science and Numerical Simulation, Communications in Nonlinear Science and Numerical Simulation 81, 105008 (2020). See also a preliminary version
- Anton Chizhov, Fabien Campillo, Mathieu Desroches, Antoni Guillamon, Serafim Rodrigues. Conductance-Based Refractory Density Approach for a Population of Bursting Neurons, Bulletin of Mathematical Biology, July 16th, 1-20 (2019). https://doi.org/10.1007/s11538-019-00643-8
- Amadeu Delshams, Antoni Guillamon, Gemma Huguet. Quasi-periodic perturbations of heteroclinic attractor networks, Chaos 28, 103111 (2019). https://doi.org/10.1063/1.5050081
- Júlia Puig, Gerard Farré, Ernest Fontich, Antoni Guillamon, Josep Sardanyés. Bifurcation gaps in asymmetric and high dimensional hypercycles, International Journal of Bifurcation and Chaos, 28(1), 1830001-17p (2018). doi:10.1142/S021812741830001X
- Gerard Farré, Antoni Guillamon, Josep Sardanyés, Ernest Fontich. Coexistence stability in a four-member hypercycle with error tail through center manifold analysis, Nonlinear Dynamics, 90(3), 1873-1883 (2017). doi:10.1007/s11071-017-3769-6.
- Catalina Vich, Rune W. Berg, Antoni Guillamon, Susanne Ditlevsen. Estimation of synaptic conductances in presence of nonlinear effects caused by subthreshold ionic currents, Frontiers in Computational Neuroscience 11, 69 (2017).
- Pau Closas, Antoni Guillamon. Sequential estimation of intrinsic activity and synaptic input in single neurons by particle filtering with optimal importance density, EURASIP Journal on Advances in Signal Processing 2017:65 (2017). doi:10.1186/s13634-017-0499-3.
- Antoni Guillamon, Rafel Prohens, Antonio E. Teruel, Catalina Vich. Estimation of synaptic conductances in the spiking regime for the McKean neuron model, SIAM J Applied Dynamical Systems 16, 1397-1424 (2017). doi:10.1137/16M1088326.
- Josep Sardanyés, J. Tomás Lázaro, Antoni Guillamon, Ernest Fontich. Full Analysis of Small Hypercycles with Short-circuits in Prebiotic Evolution, Physica D 347, 90-108 (2017). doi:10.1016/j.physd.2016.12.004
- Mathieu Desroches, Antoni Guillamon, Enrique Ponce, Rafel Prohens, Serafim Rodrigues, Antonio E. Teruel. Canards, Folded Nodes And Mixed-Mode Oscillations In Piecewise-Linear Slow-Fast Systems, SIAM Review 58, 653-691 (2016).doi:10.1137/15M1014528
- Antoni Guillamon, Josep Sardanyés, Ernest Fontich. Bifurcations analysis of oscillating hypercycles, Journal of Theoretical Biology 387, 23–-30 (2015). doi:10.1016/j.jtbi.2015.09.018
- Catalina Vich, Antoni Guillamon. Dissecting estimation of conductances in subthreshold regimes, Journal of Computational Neuroscience 39, 271-287 (2015). doi:10.1007/s10827-015-0576-2
- Oriol Castejón, Antoni Guillamon, Gemma Huguet. Phase-amplitude response functions for transient-state stimuli , The Journal of Mathematical Neuroscience 3 (2013). doi:10.1186/2190-8567-3-13
- Alexander Pastukhov, Pedro E. García-Rodríguez, Joachim Haenicke, Antoni Guillamon, Gustavo Deco, Jochen Braun. Multi-stable perception balances stability and sensitivity, Frontiers in Computational Neuroscience, 7 (2013). doi:10.3389/fncom.2013.00017
- José Manuel Benita, Gustavo Deco, Antoni Guillamon, Maria V. Sánchez-Vives. Synaptic depression and slow oscillatory activity in a biophysical network model of the cerebral cortex, Frontiers in Computational Neuroscience, 6 (2012, doi:10.3389/fncom.2012.00064).
- Antoni Guillamon, Chara Pantazi. Phase portraits of separable Hamiltonian systems, Nonlinear Analysis: Theory, Methods & Applications, 74, 4012-4035 (2011, http://dx.doi.org/10.1016/j.na.2011.03.030).
- Antoni Guillamon, Gemma Huguet. A computational and geometric approach to phase resetting curves and surfaces, SIAM J Appl Dyn Syst, 8, 1005-1042 (2009, http://dx.doi.org/10.1137/080737666).
- Antoni Guillamon, Marco Sabatini. The number of limit cycles in planar systems and generalized Abel equations with monotonous hyperbolicity, Nonlinear Analysis: Theory, Methods & Applications, 71, 1941-1949 (2009). doi:10.1016/j.na.2009.01.034
- Antoni Guillamon, Marco Sabatini. Geometric tools to determine the hyperbolicity of limit cycles, Journal of Mathematical Analysis and Applications, 331, 986-1000 (2007).
- Antoni Guillamon, David W. Mclaughlin, John Rinzel. Estimation of synaptic conductances, Journal of Physiology (Paris), 100, 31-42 (2006).
- Emilio Freire, Armengol Gasull, Antoni Guillamon. Limit cycles and Lie symmetries, Bull. Sciences Mathématiques, 131, 501-517 (2007).
- Armengol Gasull, Antoni Guillamon. Limit cycles for generalized Abel equations, International Journal of Bifurcation and Chaos 16, 3737-3745 (2006).
- Armengol Gasull, Antoni Guillamon, Jordi Villadelprat. The period function for second-order quadratic ODEs is monotone, Qualitative Theory of Dynamical Systems 4, 329-352 (2004).
- Emilio Freire, Armengol Gasull, Antoni Guillamon. First derivative of the period function with applications, J. Diff. Equations 204, 139-162 (2004).
- Emilio Freire, Armengol Gasull, Antoni Guillamon. A characterization of isochronous centres in terms of symmetries, Revista Matemática Iberoamericana 20 (205-222 (2004).
- Emilio Freire, Armengol Gasull, Antoni Guillamon. Period function for perturbed isochronous centres, Qualitative Theory of Dynamical Systems 3, 275-284 (2002).
- Amadeu Delshams, Antoni Guillamon, José Tomás Lázaro. A pseudo-normal form for planar vector fields, Qualitative Theory of Dynamical Systems 3, 51-82 (2002).
- Armengol Gasull, Antoni Guillamon, Víctor Mañosa. Phase portrait of Hamiltonian systems with homogeneous nonlinearities, Nonlinear Analysis: Theory, Methods & Applications, 42, 679-707 (2000).
- Armengol Gasull, Antoni Guillamon, Víctor Mañosa. An analytic-numerical method for computation of the Liapunov and period constants derived from their algebraic structure, SIAM J. of Numerical Analysis, 36, no. 4, 1030-1043 (1999).
- Armengol Gasull, Antoni Guillamon, Víctor Mañosa, Francesc Mañosas. The period function for Hamiltonian systems with homogeneous nonlinearities, Journal of Differential Equations, 139, 237-260 (1997).
- Armengol Gasull, Antoni Guillamon, Víctor Mañosa. An explicit expression of the first Liapunov and period constants with applications, Journal of Mathematical Analysis and Applications, 211, 190-212 (1997).doi.org/10.1006/jmaa.1997.5455
- Ronaldo Alves Garcia, Armengol Gasull, Antoni Guillamon. Geometrical conditions for the stability of periodic orbits in planar systems, Math. Proc. Cambridge Phil. Soc., 120, 499-519 (1996).
- Armengol Gasull, Antoni Guillamon, Chengzhi Li, Zhifen Zhang. Study of perturbed Lotka-Volterra systems via Abelian integrals, Journal of Mathematical Analysis and Applications, 198, 703-728 (1996).
- Antoni Guillamon, Xavier Jarque, Jaume Llibre, Joaquim Ortega-Cerdà, Joan Torregrosa. Periods for transversal maps via Lefschetz numbers for periodic points, Transactions of the American Mathematical Society, 347, 4779-4806 (1995).
- Armengol Gasull, Antoni Guillamon. Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations, Differential Equations and Dynamical Systems, 3, 345-366 (1995).
- Antoni Guillamon. Una panoràmica de la matemàtica a Catalunya durant el segle XIX, Butlletí de la Societat Catalana de Matemàtiques, 4, 47-67 (1989).
CONFERENCE PROCEEDINGS
SECTION UNDER CONSTRUCTION
EDITORIAL TASK
- Enric Ventura, Antoni Guillamon (Series Editors). Research Perspectives CRM Barcelona, Springer-Birkhäuser, within the series Trends in Mathematics. See published volumes here.
OTHER: translations, surveys,...
- Antoni Guillamon. Una introducció a les matemàtiques de l'activitat neuronal, Butlletí de la Societat Catalana de Matemàtiques 19, 25-45 (2004).
- Marc Chamberland. Una actualització del problema 3x+1 (An update on the 3x+1 problem), Butlletí de la Societat Catalana de Matemàtiques 18, 19-45 (2004).