Journal Publications

Analysis of a two phase flow model of biofilm spread, A. Carpio, G. Duro, submitted 2023

Hierarchical topological clustering, A. Carpio, G. Duro, submitted 2023

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]

Seeing the invisible: digital holography, A. Carpio, EMS Magazine 125, 4-12, 2022 [pdf]

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]

Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology, A. Micheletti, A. Araújo, N. Bubko, A. Carpio, M. Ehrhardt, Journal of Mathematics in Industry 11, 15, 2021 [pdf]

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]

Multifrequency topological derivative approach to inverse scattering problems in attenuating media, A. Carpio, M.L. Rapún, Symmetry (Issue on Advanced Mathematical and Simulation Methods for Inverse Problems) 13, 1702, 2021 [pdf]

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]

Incorporating cellular stochasticity in solid-fluid mixture biofilm models, A. Carpio, E. Cebrián, Entropy 22(2), 188, 2020 [pdf]

Fingerprints of cancer by persistent homology, A. Carpio, L.L. Bonilla, J.C. Mathews, A.R. Tannenbaum, bioRxiv 777169, 2019 [pdf]

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]

Biofilms as poroelastic materials, A. Carpio, E. Cebrián, P. Vidal, International Journal of Non-linear Mechanics 109, 1-8, 2019 [pdf]

A convergent numerical scheme for integrodifferential kinetic models of angiogenesis, L.L. Bonilla, A. Carpio, M. Carretero, G. Duro, M. Negreanu, F. Terragni, Journal of Computational Physics 375, 1270-1294, 2018 [pdf]

Dynamics of Pseudomonas putida biofilms in an upscale experimental framework, D.R. Espeso, E. Martínez-García, A. Carpio, V. de Lorenzo, Journal of Industrial Microbiology & Biotechnology 45, 899-911, 2018 [pdf]

Optimization methods for in-line holography, A. Carpio, T.G. Dimiduk, V. Selgas, P. Vidal, SIAM Journal on Imaging Sciences 11(2), 923-956, 2018 [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]

Constructing solutions for a kinetic model of angiogenesis in annular domains, A. Carpio, G. Duro, M. Negreanu, Applied Mathematical Modelling 45, 303-322, 2017 [pdf] [arxiv]

Noninvasive imaging of three-dimensional micro and nanostructures by topological methods, A. Carpio, T.G. Dimiduk, M.L. Rapun, V. Selgas, SIAM Journal on Imaging Sciences 9(3), 1324-1354, 2016 [pdf] [arxiv]

Stenosis triggers spread of helical Pseudomonas biofilms in cylindrical flow systems, D.R. Espeso, A. Carpio, E. Martínez-García, V. de Lorenzo, Scientific Reports 6, 27170, 2016 [pdf]

Well posedness of an integrodifferential kinetic model of Fokker-Planck type for angiogenesis, A. Carpio, G. Duro, Nonlinear Analysis-Real World Applications 30, 184-212, 2016 [pdf] [arxiv] [Audioslides]

Well posedness of an angiogenesis related integrodifferential diffusion model, A. Carpio, G. Duro, Applied Mathematical Modelling 40 (9-10), 5560-5575, 2016 [pdf] [arxiv]

Differential growth of wrinkled biofilms, D.R. Espeso, A. Carpio, B. Einarsson, Physical Review E 91(2), 022710, 2015 [pdf] [arxiv]

Measuring strain and rotation fields at the dislocation core in graphene, L.L. Bonilla, A. Carpio, C. Gong, J.H. Warner, Physical Review B 92(15), 155417, 2015 [pdf] [arxiv]

Theory of force-extension curves for modular proteins and DNA hairpins, L.L. Bonilla, A. Carpio, A. Prados, Physical Review E 91(5), 052712, 2015 [pdf] [arxiv]

Parameter identification in photothermal imaging, A. Carpio, M.L. Rapún, Journal of Mathematical Imaging and Vision 49 (2), 273-288, 2014 [pdf] [archivo]

Protein unfolding and refolding as transitions through virtual states, L.L. Bonilla, A. Carpio, A. Prados, EPL (Europhysics Letters) 108(2), 28002, 2014 [pdf] [arxiv]

Sawtooth patterns in force-extension curves of biomolecules: an equilibrium-statistical-mechanics theory, A. Prados, A. Carpio, L.L. Bonilla, Physical Review E 88(1), 012704, 2013 [pdf] [arxiv]

Hybrid topological derivative-gradient based methods for nondestructive testing, A. Carpio, M.L. Rapun, Abstract and Applied Analysis 816134, 2013 [pdf]

Hybrid topological derivative and gradient-based methods for electrical impedance tomography, A. Carpio, M.L. Rapún, Inverse Problems 28(9), 095010, 2012 [pdf] [archivo]

Biofilm growth on rugose surfaces, D. Rodriguez, B. Einarsson, A. Carpio, Physical Review E 86(6), 061914, 2012 [pdf] [archivo]

Driving dislocations in graphene, L.L. Bonilla, A. Carpio, Science 337(6091), 161-162, 2012 [pdf]

Model of ripples in graphene, L.L. Bonilla, A. Carpio, Physical Review B 86(19), 195402, 2012 [pdf] [arxiv]

Ripples in a graphene membrane coupled to Glauber spins, L.L. Bonilla, A. Carpio, Journal of Statistical Mechanics- Theory and Experiment, P09015, 2012 [pdf] [archivo]

Ripples in a string coupled to Glauber spins, L.L. Bonilla, A. Carpio, A. Prados, R.R. Rosales, Physical Review E 85(3), 031125, 2012 [pdf] [arxiv]

Spin-oscillator model for the unzipping of biomolecules by mechanical force, A. Prados, A. Carpio, L.L. Bonilla, Physical Review E 86(2), 021919, 2012 [pdf] [arxiv]

Propagation failure along myelinated nerves, A. Carpio, I. Peral, Journal of Nonlinear Science 21(4), 499-520, 2011 [pdf] [archivo]

Theory of defect dynamics in graphene: defect groupings and their stability, LL Bonilla, A. Carpio, Continuum Mechanics and Thermodynamics 23(4), 337-346, 2011 [pdf] [arxiv]

Determining planar multiple sound-soft obstacles from scattered acoustic fields, A. Carpio, B.T. Johansson, M.L. Rapún, Journal of Mathematical Imaging and Vision 36(2), 185-199, 2010 [pdf] [archivo]

An iterative method for parameter identification and shape reconstruction, A. Carpio, M.L. Rapún, Inverse Problems in Science and Engineering 18(1), 35-50, 2010 [pdf] [archivo]

Analysis of helium bubble growth in radioactive waste, A. Carpio, B. Tapiador, Nonlinear Analysis-Real World Applications 11(5), 4174-4184, 2010 [pdf] [archivo]

Nonreflecting boundary conditions for discrete waves, A. Carpio, B. Tapiador, Journal of Computational Physics 229(5), 1879-1896, 2010 [pdf] [archivo]

Nonequilibrium dynamics of a fast oscillator coupled to Glauber spins, L.L. Bonilla, A. Prados, A. Carpio, Journal of Statistical Mechanics-Theory and Experiment, P09019, 2010 [pdf] [arxiv]

Phase transitions in a mechanical system coupled to Glauber spins, A. Prados, L.L. Bonilla, A. Carpio, Journal of Statistical Mechanics-Theory and Experiment, P06016, 2010 [pdf] [arxiv]

Explosive behaviour in spatially discrete reaction-diffusion systems, A. Carpio, G. Duro, Discrete and Continuous Dynamical Systems - Series B 12(4), 693-711, 2009 [pdf] [archivo]

Toy nanoindentation model and incipient plasticity, I. Plans, A. Carpio, L.L. Bonilla, Chaos, solitons and fractals 42(3), 1623-1630, 2009 [pdf] [arxiv]

Self-sustained current oscillations in the kinetic theory of semiconductor superlattices, E. Cebrián, L.L. Bonilla, A. Carpio, Journal of Computational Physics 228(20), 7689-7705, 2009 [pdf] [arxiv]

Theory of surface deposition from boundary layers containing condensable vapour and particles, J.C. Neu, A. Carpio, L.L. Bonilla, Journal of Fluid Mechanics 626, 183-210, 2009 [pdf] [arxiv]

Domain reconstruction using photothermal techniques, A. Carpio, M.L. Rapún, Journal of Computational Physics 227(17), 8083-8106, 2008 [pdf] [archivo]

Solving inhomogeneous inverse problems by topological derivative methods, A. Carpio, M.L. Rapún, Inverse Problems, 24(4), 045014, 2008 [pdf] [archivo]

Topological derivatives for shape reconstruction, A. Carpio, M.L. Rapún, Lecture Notes in Mathematics 1943, 85-133, 2008 [pdf] [archivo]

Periodized discrete elasticity models for defects in graphene, A. Carpio, L.L. Bonilla, Physical Review B 78(8), 085406, 2008 [pdf] [arxiv]

Dislocations in graphene, A. Carpio, L.L. Bonilla, F. de Juan, M.A.H. Vozmediano, New Journal of Physics 10, 053021, 2008 [pdf]

Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model, I. Plans, A. Carpio, L.L. Bonilla, EPL (Europhysics Letters) 81(3), 36001, 2008 [pdf] [arxiv]

Dislocations in cubic crystals described by discrete models, L.L. Bonilla, A. Carpio, I. Plans, Physica A: Statistical Mechanics and its Applications 376, 361-377, 2007 [pdf] [arxiv]

Kinetics of helium bubble formation in nuclear materials, L.L. Bonilla, A. Carpio, J.C. Neu, W.G. Wolfer, Physica D- Nonlinear Phenomena 222(1-2), 131-140, 2006 [pdf] [arxiv]

Asymptotic and numerical studies of the Becker-Döring model for transient homogeneous nucleation, LL Bonilla, A. Carpio, Y. Farjoun, JC Neu, Markov processes and related fields, 12, 341-365, 2006 [arxiv]

Igniting homogeneous nucleation, J.C. Neu, L.L. Bonilla, A. Carpio, Physical Review E 71(2), 021601, 2005 [pdf] [arxiv]

Asymptotic construction of pulses in the discrete Hodgkin-Huxley model for myelinated nerves, A. Carpio, Physical Review E 72(1), 011905, 2005 [pdf] [arxiv]

Instability and collapse in discrete wave equations, A. Carpio, G. Duro, Computational Methods in Applied Mathematics, 5(3), 223-241, 2005 [pdf]

Wave trains, self-oscillations and synchronization in discrete media, A. Carpio, Physica D-Nonlinear Phenomena 207(1-2), 117-136, 2005 [pdf] [arxiv]

Discrete models of dislocations and their motion in cubic crystals, A. Carpio, L.L. Bonilla, Physical Review B 71(13) 134105, 2005 [pdf] [arxiv]

Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators, A. Carpio, Physical Review E 69(4), 046601, 2004 [pdf] [arxiv]

Pulse propagation in discrete systems of coupled excitable cells, A. Carpio, LL Bonilla, SIAM Journal on Applied Mathematics 63(2), 619-635, 2003 [pdf] [arxiv]

Edge dislocations in crystal structures considered as travelling waves in discrete models, A. Carpio, L.L. Bonilla, Physical Review Letters 90(13), 135502, 2003; 91(2), 029901 2003 [pdf1] [pdf2] [arxiv]

Oscillatory wave fronts in chains of coupled nonlinear oscillators, A. Carpio, L.L. Bonilla, Physical Review E 67(5), 056621, 2003 [pdf] [arxiv]

Depinning transitions in discrete reaction-diffusion equations, A. Carpio, L.L. Bonilla, SIAM Journal on Applied Mathematics 63(3), 1056-1082, 2003 [pdf] [arxiv]

Effects of disorder on the wave front depinning transition in spatially discrete systems, A. Carpio, L.L. Bonilla, A. Luzon, Physical Review E (RC) 65(3), 035207, 2002 [pdf] [arxiv]

Wavefronts for discrete two-dimensional nonlinear diffusion equations, A. Carpio, Applied Mathematics Letters 15(4), 415-421, 2002 [pdf] [archivo]

Wave front depinning transition in discrete one-dimensional reaction-diffusion systems, A. Carpio, LL Bonilla, Physical Review Letters 86(26), 6034-6037, 2001 [pdf] [arxiv]

Long time asymptotics for the semiconductor Vlasov-Poisson-Boltzmann equations, A. Carpio, E. Cebrian, F.J. Mustieles, Mathematical Models and Methods in Applied Sciences 11(9), 1631-1665, 2001 [pdf] [archivo]

Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals, A. Carpio, SJ Chapman, JJL Velazquez, SIAM Journal on Applied Mathematics 61(6), 2168-2199, 2001 [pdf] [arxiv]

Numerical study of hyperbolic equations with integral constraints arising in semiconductor theory, A. Carpio, P. Hernando, M. Kindelan, SIAM Journal on Numerical Analysis 39(1), 168-191, 2001 [pdf] [arxiv]

Motion of wave fronts in semiconductor superlattices, A. Carpio, LL Bonilla, G. Dell'Acqua, Physical Review E 64(3), 036204, 2001 [pdf] [arxiv]

Asymptotic profiles for convection-diffusion equations with variable diffusion, A. Carpio, G Duro, Nonlinear Analysis- Theory, Methods and Applications 45(4), 407-433, 2001 [pdf] [archivo]

Wave solutions for a discrete reaction-diffusion equation, A. Carpio, SJ Chapman, S Hastings, JB Mcleod, European Journal of Applied Mathematics 11(4), 399-412, 2000 [pdf] [archivo]

Wave fronts may move upstream in semiconductor superlattices, A. Carpio, LL Bonilla, A Wacker, E Schöll, Physical Review E 61(5), 4866-4876, 2000 [pdf] [arxiv]

Long-time behavior for solutions of the Vlasov-Poisson-Fokker-Planck equation, A. Carpio, Mathematical Methods in the Applied Sciences 21(11), 985-1014, 1998 [pdf] [archivo]

On the modelling of instabilities in dislocation interaction, A. Carpio, SJ Chapman, Philosophical Magazine B 78(2), 155-157, 1998 [pdf]

Dynamics of line singularities, A. Carpio, S.J. Chapman, S.D. Howison, J.R. Ockendon, Philosophical Transactions of the Royal Society A 355 (1731), 2013-2024, 1997 [pdf] [archivo]

Large time behavior in convection-diffusion equations, A. Carpio, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze (Ser IV), 23(3), 551-574, 1996 [pdf] [archivo]

Large-time behavior in incompressible Navier-Stokes equations, A. Carpio, SIAM Journal on Mathematical Analysis 27 (2), 449-475, 1996 [pdf] [archivo]

Large time behavior in incompressible Navier-Stokes equations, A. Carpio, Zeitschrift für angewandte Mathematik und Mechanik (ZAMM) 76 (S2), 495-496, 1996

Asymptotic-behavior for the vorticity equations in dimensions two and three, A. Carpio, Communications in Partial Differential Equations 19(5-6), 827-872, 1994 [pdf] [archivo]

Existence of global solutions to some nonlinear dissipative equations, A. Carpio, Journal de Mathématiques Pures et Appliquées 73(5), 471-488, 1994 [archivo]

Unicité et comportement asymptotique pour des équations de convection diffusion scalaires, A. Carpio, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (CRAS Paris), 319, Ser I, 51-56, 1994

Comportement asymptotique dans les équations de Navier-Stokes, A. Carpio, CRAS Paris, 319, Ser I, 223-228, 1994

Comportement asymptotique des solutions des équations du tourbillon en dimensions 2 et 3, A. Carpio, CRAS Paris, 316, Ser I, 1289-1294, 1993

Existence de solutions globales rétrogrades pour des équations des ondes non linéaires dissipatives, A. Carpio, CRAS Paris, 316, Ser I, 803-808, 1993

Sharp estimates of the energy for the solutions of some dissipative second order evolution problems, A. Carpio, Potential Analysis 1(3), 265-289, 1992 [pdf] [archivo]

A nonexistence result for a nonlinear equation involving critical Sobolev exponent, AC Rodriguez, M. Comte, R. Lewandowski, Annales de l'Institut Henri Poincaré-Analyse Non Linéaire 9(3), 243-261, 1992 [pdf] [archivo]