Book Chapters

Uncertainty quantification in scientific computing: a short introduction, A. Carpio, in Mathematical and Computational Modelling Across the Scales, Springer, to appear

Two-fluid variable length model for cell crawling, R. González-Albaladejo, F. Ziebert, A. Carpio, in Proceedings XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. (HYP2022), Springer, to appear

Comparison of the topological derivative behavior on different scenarios: the time-harmonic heat equation and Maxwell electric field equations, A. Carpio, M. Pena, M.L. Rapún, In Proceedings XXVII CEDYA / XVII CMA (Zaragoza, 2022), 143-150, Gracia, Javierre, Martínez, Miana, Pérez, Rández, Sánchez and Villacampa Eds, Prensas de la Universidad de Zaragoza 2023. ISBN: 978-84-18321-66-5 pdf

Immersed boundary models of biofilm spread, A. Carpio, R. González-Albaladejo, In Progress in Industrial Mathematics at ECMI 2021, 53-59, Ehrhardt M, Gunter M Eds, Mathematics in Industry Vol 39, Springer, Cham 2022. ISBN: 978-3-031-11818-0 pdf

Cancer fingerprints by topological data analysis, A. Carpio, In Progress in Industrial Mathematics at ECMI 2021, 23-29, Ehrhardt M, Gunter M Eds, Mathematics in Industry Vol 39, Springer, Cham 2022. ISBN: 978-3-031-11818-0 pdf

Parameter identification in epidemiological models, A. Carpio, E. Pierret, In Mathematical Analysis of Infectious Diseases (MAID 2020) 103-124, Praveen Agarwal, Juan J. Nieto and Delfim F. M. Torres Eds., Elsevier, 2022. ISBN: 978-0-323-90504-6 pdf

Well posedness and numerical solution of kinetic models for angiogenesis, A. Carpio, E. Cebrián, G. Duro, In Proceedings XXVI CEDYA - XVI Congreso de Matemática Aplicada, Gijón (Spain), 109-113, R. Gallego R, M. Mateos Eds, Servicio de Publicaciones de la Universidad de Oviedo, 2021. ISBN: 978-84-18482-21-2 pdf

Parameter fitting in models of biofilm resistance to antibiotics, E. Cebrián, A. Carpio, In Proceedings of ICNAAM 2017 at Thessaloniki, 25-30, Sept 2017, AIP Conference Proceedings 1978(1): 350003, 2018. ISBN: 978-0-7354-1690-1 pdf

Biofilm mechanics and patterns, A. Carpio, E. Cebrián, D.R. Espeso, P. Vidal, In Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications, Bonilla, L., Kaxiras, E., Melnik, R. (eds) BIRS-16w5069 2016. Springer Proceedings in Mathematics & Statistics, vol 232. Springer, Cham 2018. ISBN: 978-3-319-76598-3 pdf

Geometry induced biofilm formation, A. Carpio, D.R. Espeso, In Iberian COMSOL Multiphysics Conference 2015 - Málaga, June 11, 2015: Conference book, abstracts and papers, 2016. ISBN: 978-84-608-5645-0 pdf

Domain and parameter reconstruction in photothermal imaging, A. Carpio, M.L. Rapun, In Progress in Industrial Mathematics at ECMI 2014, Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds), ECMI 2014, 397-405, Mathematics in Industry, vol 22. Springer, Cham 2016. ISBN: 978-3-319-23413-7 pdf

Dynamics of bacterial aggregates in microflows, A. Carpio, B. Einarsson, D. Rodríguez, In Progress in Industrial Mathematics at ECMI 2014, Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) ECMI 2014, 397-405, Mathematics in Industry, vol 22. Springer, Cham 2016. ISBN: 978-3-319-23413-7 pdf

Reconstruction of inclusions by photothermal imaging, A. Carpio, M.L. Rapun, In IPTA 2014 Inverse Problems from Theory to Application, 26-28th August 2014, Bristol (UK), 24-28, Louis AK, Arridge S, Rundell B Eds, 2014, ISBN 978-0-7503-1106-9.

A cellular automata model for biofilm growth, D. Rodríguez, B. Einarsson, A. Carpio, In Proceedings of the 10th World Congress on Computational Mechanics [Blucher Mechanical Engineering Proceedings, v. 1, n. 1], 409-421. São Paulo: Blucher, 2014. ISSN 2358-0828 pdf

Influence of surface rugosity on biofilm growth, D. Rodríguez, B. Einarsson, A. Carpio, In Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP Conf. Proc. 1389, 1454-1457, 2011. ISBN: 978-0-7354-0956-9 pdf

Variational methods for inverse conductivity problems, A. Carpio, M.L. Rapun, In Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP Conf. Proc. 1389, 1433-1436, 2011. ISBN: 978-0-7354-0956-9 pdf

Preface of the "Symposium on Imaging and Inverse Problems'', A. Carpio, M.L. Rapun, In Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP Conf. Proc. 1389, 1423-1424, 2011. ISBN: 978-0-7354-0956-9 pdf

Theory of defect dynamics in graphene, L.L Bonilla, A. Carpio, In Graphene/Book 1, Ed. Jian Ru Gong, INTEC, 2011, 167-182. ISBN: 978-953-308-60-2 pdf

Static and dynamics of an harmonic oscillator coupled to a one-dimensional Ising system, A. Prados, L.L. Bonilla, A. Carpio, In AIP Conf. Proc. March 24, 2011, Volume 1332, Issue 1, pp. 232-234, Nonequilibrium statistical physics today: Proceedings of the 11th Granada Seminar on Computational and Statistical Physics, 2011. ISBN: 978-0-7354-0887-6 pdf

Waves in nonlinear discrete systems, LL Bonilla, A Carpio, HT Grahn, G Dell'Acqua, JI Arana, In Oberwolfach Reports in Report 57 Material Theories, 10-13, EMS Publishing House 2010. ISBN: 978-3-642-12110-4 pdf

Theory of surface deposition from boundary layers containing condensable vapor and particles, J.C. Neu, A. Carpio, L.L Bonilla, In Progress in Industrial Mathematics at ECMI 2008, Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds), Mathematics in Industry, vol 15. Springer, Berlin, Heidelberg, 2010. ISBN: 978-3-642-12110-4 pdf

Heterogeneous vapor condensation in boundary layers, L.L. Bonilla, A. Carpio, J.C. Neu, In Numerical analysis and applied mathematics (ICNAAM 2008, Kos, Greece) T.E. Simos, G. Psihoyios, Ch. Tsitouras, Eds, AIP Conference Proceedings 1048, 917-920, AIP, Melville, New York, 2008. ISBN 978-0-7354-0576-9/08 pdf

Topological derivative based methods for non-destructive testing, A. Carpio, M.L. Rapún, In Numerical Mathematics and Advanced Applications, Kunisch, K., Of, G., Steinbach, O. (eds), Springer, Berlin, Heidelberg 2008. ISBN 978-3-540-69776-0 pdf

Homogeneous nucleation of dislocations, A. Carpio, I. Plans, L.L. Bonilla, In Continuum models and discrete systems, D. Jeulin, S. Forest Eds, Paristech, L'Ecole des Mines de Paris, 265-270, 2008. ISBN: 978-2-35671-000-0 pdf

Depinning and motion of crystal dislocations, A. Carpio, L.L. Bonilla, In Continuum models and discrete systems, D. Jeulin, S. Forest Eds, Paristech, L'Ecole des Mines de Paris, 265-270, 2008. ISBN: 978-2-35671-000-0 pdf

Preface of the Minisymposium “Multiscale Problems in Materials”, A. Carpio, In Progress in Industrial Mathematics at ECMI 2006, Bonilla, L.L., Moscoso, M., Platero, G., Vega, J.M. (eds), Mathematics in Industry, vol 12. Springer, Berlin, Heidelberg 2008. ISBN: 978-3-540-71992-2 pdf

Critical Thickness for Misfit Dislocation Formation in InAs/GaAs(110) Heteroepitaxy, I. Plans, A. Carpio, L.L. Bonilla, R.E. Caflisch, In Progress in Industrial Mathematics at ECMI 2006, Bonilla, L.L., Moscoso, M., Platero, G., Vega, J.M. (eds), Mathematics in Industry, vol 12. Springer, Berlin, Heidelberg, 2008. ISBN: 978-3-540-71992-2 pdf

Dynamics and nucleation of dislocation in crystals, A. Carpio, L.L. Bonilla, I. Plans, In Oberwolfach reports, 4 (4), Report 58 Material Theories, 3390-3392, EMS Publishing House, 2007 pdf

Kinetics of Nucleation and Growth: Classical Nucleation and Helium Bubbles in Nuclear Materials, L. Bonilla, A. Carpio, J.C. Neu, In Math Everywhere, Aletti, G., Micheletti, A., Morale, D., Burger, M. (eds), Springer, Berlin, Heidelberg, 2007. ISBN: 978-3-540-44446-6 pdf

Defects, singularities and waves, L.L. Bonilla, A. Carpio, In Recent Advances in Nonlinear Partial Differential Equations and Applications, Serie 'Proceedings of Symposia in Applied Mathematics', Vol. 65, 131-150, AMS, 2007. ISBN-10: 0-8218-4211-0. pdf

Nonreflecting boundary conditions for the dynamics of defects in nanocrystals, A. Carpio, B. Tapiador, In Proceedings of the Conference 'Congress on Numerical Methods in Engineering' (CMNE 2007) - 'Iberian Latin American Congress on Computational Methods in Engineering' (XXVIII CILAMCE), A. Rodriguez-Ferran, J. Oliver, P.R.M.Lyra, J. L.D. Alves, Eds, Oporto, Portugal, 2007. ISBN: 978-972-8953-16-4

Modelos para crecimiento de burbujas en residuos radiactivos, A. Carpio, B. Tapiador, Actas del CEDYA 2007. ISBN 978-84-690-7182-3 pdf

Dislocations in cubic crystals described by discrete models, A. Carpio, L.L. Bonilla, I. Plans, Proceedings of the Third Conference on Multiscale Modelling of Materials, 23-29, Fraunhofer IRB Verlag, Freiburg, 2006. ISBN-10. 3-8167-7206-4 pdf

Control challenges in semiconductor nanostructure devices, LL. Bonilla, A. Carpio, In Proc. CDC-ECC'05 Conf., Seville, Spain, Dec 2005, IEEE, 1811-1815, 2005. ISBN:0-9568-9. pdf

Wave Propagation in Discrete Media, A. Carpio, In Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 63, C. Bandle, H. Berestycki Eds, Birkhäuser Basel, 2005. ISBN: 978-3-7643-7384-9 pdf

Igniting homogeneous nucleation, L.L. Bonilla, A. Carpio, J.C. Neu, In Simplicity, Rigor and Relevance in Fluid Mechanics (A volume in honor of A. Liñán on the ocassion of his 70th birthday), F.J. Higuera, J. Jiménez, J.M. Vega Eds., CIMNE, Barcelona, 2004. ISBN 84-95999-58-7

Atomic models for defects in cubic metals, A. Carpio, L.L. Bonilla, In Proceedings of ECCOMAS (European Congress on Computational Methods in Applied Sciences and Engineering), P.Neittaanmaki, T. Rossi, S. Korotov, E. Oñate, J. Périaux, D. Knörzer Eds., Jyvaskyla, 2004. ISBN 951-39-1868-8 pdf

Atomic models for defects in GaAs, A. Carpio, I. Plans, L.L. Bonilla, In Proceedings of ECCOMAS (European Congress on Computational Methods in Applied Sciences and Engineering), P.Neittaanmaki, T. Rossi, S. Korotov, E. Oñate, J. Périaux, D. Knörzer Eds., Jyvaskyla, 2004., ISBN 951-39-1868-8 pdf

Wavefronts in discrete drift-diffusion equations, A. Carpio, L.L. Bonilla, In Progress in Industrial Mathematics at ECMI 2000, Anile, A.M., Capasso, V., Greco, A. (eds), Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg 2002. ISBN: 978-3-642-12110-4 pdf

Pile-up solutions for systems of conservation laws modelling the interaction of dislocations in crystals, A. Carpio, S.J. Chapman, In Applied and Industrial Mathematics, Venice-2, 1998, Spigler, R. (eds), Springer, Dordrecht, 2000. ISBN: 978-94-011-4193-2 pdf

Existencia de soluciones globales retrógradas para ecuaciones de ondas nolineales disipativas, A. Carpio, Actas del XIII CEDYA, Madrid, 286-289, 1993