| Highlighted Research | Recent Research |
| Bayesian approach to inverse scattering with topological priors, A. Carpio, S. Iakunin, G. Stadler, Inverse Problems 36, 105001, 2020 [pdf] [arxiv] Tracking collective cell motion by topological data analysis, L.L. Bonilla, A. Carpio, C. Trenado, PLOS Computational Biology 16(12), e1008407, 2020 [pdf] [arxiv] When topological derivatives met regularized Gauss-Newton iterations in holograhic 3D imaging, A. Carpio, T.G. Dimiduk, F. Le Louer, M.L. Rapun, Journal of Computational Physics 388, 224-251, 2019 [pdf][arxiv] Dynamic energy budget approach to evaluate antibiotic effects on biofilms, B. Birnir, A. Carpio, E. Cebrián, P. Vidal, Communications in Nonlinear Science and Numerical Simulation 54, 70-83, 2018 [pdf] [arxiv] Differential growth of wrinkled biofilms, D.R. Espeso, A. Carpio, B. Einarsson, Physical Review E 91(2), 022710, 2015 [pdf] [arxiv] Periodized discrete elasticity models for defects in graphene, A. Carpio, L.L. Bonilla, Physical Review B 78(8), 085406, 2008 [pdf] [arxiv] Solving inhomogeneous inverse problems by topological derivative methods, A. Carpio, M.L. Rapún, Inverse Problems, 24(4), 045014, 2008 [pdf] [archivo] Large-time behavior in incompressible Navier-Stokes equations, A. Carpio, SIAM Journal on Mathematical Analysis 27 (2), 449-475, 1996 [pdf] [archivo] | Well posedness of fluid-solid mixture models for biofilm spread, A. Carpio, G. Duro, Applied Mathematical Modelling 124, 64-85, 2023 [pdf] [arxiv] Object based Bayesian full-waveform inversion for shear elastography, A. Carpio, E. Cebrián, A. Gutiérrez, Inverse Problems 39, 075007, 2023 [pdf] [arxiv] Scale free chaos in the confined Vicsek flocking model, R. González-Albaladejo, A. Carpio, L.L. Bonilla, Physical Review E 107, 014209, 2023 [pdf] [arxiv] Pattern recognition in data as a diagnosis tool, A. Carpio, A. Simón, A. Torres, L.F. Villa, Journal of Mathematics in Industry 12, 3, 2022 [pdf][arxiv] Immersed boundary approach to biofilm spread on surfaces, A. Carpio, R. González-Albaladejo, Communications in Computational Physics 31(1), 257-292, 2022 [pdf] [arxiv] Positivity preserving high order schemes for kinetic models of angiogenesis, A. Carpio, E. Cebrián, International Journal on Nonlinear Sciences and Numerical Simulation 23(6), 917-929, 2022 [pdf] [arxiv] Uncertainty quantification in covid-19 spread: lockdown effects, A. Carpio, E. Pierret, Results in Physics, 35, 105375, 2022 [pdf] [arxiv] Processing the 2D and 3D Fresnel experimental databases via topological derivative methods, A. Carpio, M. Pena, M.L. Rapún, Inverse Problems 37, 105012, 2021 [pdf] |
Ejercicios de ecuaciones en derivadas parciales, técnicas de discretización y modelos discretos, A. Carpio, 2024 [pdf]
Modelización y Simulación Numérica en Mecánica y Materiales, A. Carpio, 2023 [pdf]
Modeling and simulation: Examples in Biomedicine, A. Carpio, 2021 [eprint] [pdf] [docta]
Modelización y simulación: Ejemplos en Biomedicina, A. Carpio, 2019 [eprint] [pdf] [docta]
Exercises on advanced nonlinear differential equations, A. Carpio, 2020 [pdf]
Ejercicios de ecuaciones en diferenciales avanzadas nolineales, A. Carpio, 2018 [pdf]
Modelización y Simulación en Sistemas Dinámicos, A. Carpio, 2017 [eprint] [pdf] [docta]
Modeling and simulation: Examples in Biology, A. Carpio, 2017 [eprint] [pdf] [docta]
Modelización y simulación: Ejemplos en Biología, A. Carpio, 2015 [eprint] [pdf] [docta]
Advanced exercises on nonlinear difference differential equations and partial differential equations, A. Carpio, 2014 [eprint] [pdf] [docta]
Ejercicios avanzados de ecuaciones diferenciales en diferencias y ecuaciones en derivadas parciales no lineales, A. Carpio, 2012 [eprint] [pdf] [docta]
Modeling and simulation: Examples in Materials Science and Mechanics, A. Carpio, 2013 [eprint] [pdf] [docta]
Modelización y Simulación: Ejemplos en Ciencia de Materiales y Mecánica, A. Carpio, 2011 [eprint] [pdf] [docta]
Partial Differential Equations and Difference Differential Equations: Exercises, A. Carpio, 2010 [eprint] [pdf] [docta]
Ecuaciones en Derivadas Parciales y Ecuaciones Diferenciales en Diferencias: Ejercicios, A. Carpio, 2008 [eprint] [pdf] [docta]
Modeling and simulation: Examples in Materials and Biology, A. Carpio, 2009 [eprint] [pdf] [docta]
Modelización y Simulación: Ejemplos en Materiales y Biología, A. Carpio, 2007 [eprint] [pdf] [docta]
Exercises on Differential Difference Equations and Partial Differential Equations, A. Carpio, 2006 [eprint] [pdf] [docta]
Ejercicios de ecuaciones diferenciales en diferencias y ecuaciones en derivadas parciales, A. Carpio, 2004 [eprint] [pdf] [docta]
Advanced Partial Differential Equations: Exercises, A. Carpio, 2002 [eprint] [pdf] [docta]
Ecuaciones en derivadas parciales avanzadas: Ejercicios, A. Carpio, 2000 [eprint] [pdf] [docta]
Atomic models of dislocations and their motion in cubic crystals, A. Carpio, 2004 [eprint] [pdf]
An asymptotic and numerical study of time-dependent homogeneous nucleation modelled by the Becker-Doering equations, A. Carpio, 2006 [eprint] [pdf]
Dislocations In Cubic Crystals Described By Discrete Models, A. Carpio, 2006 [eprint] [pdf]
Dynamics and nucleation of dislocations in crystals, A. Carpio, 2007 [eprint] [pdf]
Condiciones de contorno no reflectantes para dinámica de defectos en nanocristales, A. Carpio, 2007 [eprint] [pdf]
Theory of Surface Deposition from Boundary Layers, A. Carpio, 2008 [eprint] [pdf]
Depinning and motion of crystal dislocations, A. Carpio, 2008 [eprint] [pdf]
Waves in nonlinear discrete systems, A. Carpio, 2009 [eprint] [pdf]
Homogeneous nucleation of dislocations, A. Carpio, 2011 [eprint] [pdf]
Fronts in lattices, A. Carpio, 2012 [eprint] [pdf]
Pattern formation in indentation tests, A. Carpio, 2013 [eprint] [pdf]
Force-extension curves for biomolecules, A. Carpio, 2013 [eprint] [pdf]
Dynamics of bacterial aggregates in microflows, A. Carpio, 2014 [eprint] [pdf]
Domain and parameter reconstruction in photothermal imaging, A. Carpio, 2014 [eprint] [pdf]
Reconstruction of inclusions in photothermal imaging, A. Carpio, 2014 [eprint] [pdf]
Geometry Induced Biofilm Formation, A. Carpio, 2015 [eprint] [pdf]
Dislocations and defects in graphene, A. Carpio, 2017 [eprint] [pdf]
Folding and unfolding of proteins, A. Carpio, 2019 [eprint] [pdf]
Biofilm spread on surfaces, A. Carpio, 2019 [eprint] [pdf]
Topological derivative based Bayesian inference for inverse scattering problems, A. Carpio, 2020 [eprint] [pdf]
Immersed boundary approach to biofilm spread on surfaces, A. Carpio, 2021 [eprint] [pdf]
Immersed boundary methods for biofilm spread, A. Carpio, 2021 [eprint] [pdf]
Bayesian Inference for Inverse Scattering Problems with Topological Priors, A. Carpio, 2021 [eprint] [pdf]
Full-waveform inversion algorithms with quantified uncertainty for medical shear elastography, A. Carpio, 2021 [eprint] [pdf]
Tracking Cell Motion by Topological Data Analysis, A. Carpio, 2021 [eprint] [pdf]
Biofilms as active sheets and filaments, A. Carpio, 2022 [eprint] [pdf]
Object based Bayesian full-waveform inversion with topological priors, A. Carpio, 2022 [eprint] [pdf]
Full-waveform inversion with quantified uncertainty in geophysics, A. Carpio, 2022 [eprint] [pdf] https://eprints.ucm.es/id/eprint/74375/
Kinetic models for angiogenesis: analysis and simulation, A. Carpio, 2022 [eprint] [pdf]
Pinning and propagation in spatially discrete bistable systems, A. Carpio, 2016
[eprint] [pdf]
Dynamics of elastic biofilm threads, A. Carpio, 2017 [eprint] [pdf]
Algunos resultados recientes sobre ecuaciones no lineales, A. Carpio, 1998 [eprint] [pdf]
Propagación de ondas mediante aprendizaje automático, M. Peñalver, 2023 [pdf]
Problemas de optimización en aprendizaje automático con aplicaciones biomédicas, D. Lozano, 2023 [pdf]
Modelado y simulación de la propagación de zoonosis: leptopirosis , S. Arranz, 2023 [pdf]
Métodos matemáticos y computacionales para elastografía médica, A. Gutiérrez, 2021 [eprint] [pdf]
Técnicas matemáticas para datos médicos, A. Torres, 2021 [eprint] [pdf]
Ondas viajeras en modelos SDS (spike diffuse spike) de propagación de impulsos nerviosos, D. Díez, 2019 [eprint] [pdf]
Estirando proteinas, D. Botija, 2018 [eprint] [pdf]
Crecimiento de biopelículas de células, P. Cañones, 2016 [eprint] [pdf]
Propagación de impulsos nerviosos, I. Peral, 2006 [eprint] [pdf]
Ondas discretas y aplicaciones al crecimiento de burbujas de helio en plutonio, B. Tapiador, 2005 [eprint] [pdf]
Condiciones de contorno no reflectantes, B. Tapiador, 2009 [eprint] [pdf]
