Publication: Modeling and simulation: Examples in Biomedicine
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2021-12
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Mathematical modeling and simulation examples in Biomedicine: Bacterial biofilms, resistance to antibiotics, metastatic migration in epithelial tissue, angiogenesis, nerve impulse propagation, mechanical behavior of modular proteins, imaging.
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[1] A Carpio, LL Bonilla,
Depinning transitions in discrete reaction-diffusion equations,
SIAM Journal on Applied Mathematics 63 (3), 1056-1082, 2003
[2] A Carpio, LL Bonilla,
Pulse propagation in discrete systems of coupled excitable cells,
SIAM Journal on Applied Mathematics 63 (2), 619-635, 2003
[3] A Carpio,
Asymptotic construction of pulses in the discrete Hodgkin-Huxley model
for myelinated nerves,
Physical Review E 72 (1), 011905, 2005
[4] A Carpio,
Wave trains, self-oscillations and synchronization in discrete media,
Physica D: Nonlinear Phenomena 207 (1-2), 117-136, 2005
[5] A Carpio, ML Rapún,
Domain reconstruction using photothermal techniques,
Journal of Computational Physics 227 (17), 8083-8106, 2008
[6] A Carpio, BT Johansson, ML Rapún,
Determining planar multiple sound-soft obstacles from scattered acoustic fields,
Journal of Mathematical Imaging and Vision 36 (2), 185-199, 2010
[7] A Carpio, I Peral,
Propagation failure along myelinated nerves,
Journal of nonlinear science 21 (4), 499-520, 2011
[8] LL Bonilla, A Carpio, A Prados, RR Rosales,
Ripples in a string coupled to Glauber spins,
Physical Review E 85 (3), 031125, 2012
[9] A Prados, A Carpio, LL Bonilla,
Spin-oscillator model for the unzipping of biomolecules by mechanical force,
Physical Review E 86 (2), 021919, 2012
[10] A Carpio, ML Rapún,
Hybrid topological derivative and gradient-based methods for electrical
impedance tomography,
Inverse Problems 28 (9), 095010, 2012
[11] D Rodriguez, B Einarsson, A Carpio,
Biofilm growth on rugose surfaces,
Physical Review E 86 (6), 061914, 2012
[12] A Prados, A Carpio, LL Bonilla,
Sawtooth patterns in force-extension curves of biomolecules:
An equilibrium-statistical-mechanics theory,
Physical Review E 88 (1), 012704, 2013
[13] LL Bonilla, A Carpio, A Prados,
Protein unfolding and refolding as transitions through virtual states,
EPL (Europhysics Letters) 108 (2), 28002, 2014
[14] DR Espeso, A Carpio, B Einarsson,
Differential growth of wrinkled biofilms,
Physical Review E 91 (2), 022710, 2015
[15] LL Bonilla, A Carpio, A Prados,
Theory of force-extension curves for modular proteins and DNA hairpins,
Physical Review E 91 (5), 052712, 2015
[16] DR Espeso, A Carpio, E MartÃnez-GarcÃa, V De Lorenzo,
Stenosis triggers spread of helical Pseudomonas biofilms in cylindrical flow
systems, Scientific reports 6, 27170, 2016
[17] A. Carpio, B. Einarsson, D.R. Espeso,
In G Russo, V Capasso, G Nicosia, Romano, V. (eds) Progress in Industrial
Mathematics at ECMI 2014. Mathematics in Industry, vol 22. Springer,
2016
[18] A Carpio, TG Dimiduk, ML Rapún, V Selgás,
Noninvasive imaging of three-dimensional micro and nanostructures by
topological methods,
SIAM Journal on Imaging Sciences 9 (3), 1324-1354, 2016
[19] A Carpio, G Duro,
Well posedness of an angiogenesis related integrodifferential diffusion model,
Applied Mathematical Modelling 40 (9-10), 5560-5575, 2016
[20] A Carpio, G Duro,
Well posedness of an integrodifferential kinetic model of Fokker–Planck type for angiogenesis,
Nonlinear Analysis: Real World Applications 30, 184-212, 2016
[21] A Carpio, G Duro, M Negreanu,
Constructing solutions for a kinetic model of angiogenesis in annular domains,
Applied Mathematical Modelling 45, 303-322, 2017
[22] B Birnir, A Carpio, E Cebrián, P Vidal,
Dynamic energy budget approach to evaluate antibiotic effects on biofilms,
Communications in Nonlinear Science and Numerical Simulation 54, 70-83, 2018
[23] A Carpio, TG Dimiduk, V Selgás, P Vidal,
Optimization methods for in-line holography,
SIAM Journal on Imaging Sciences 11, 923-956, 2018
[24]DR Espeso, E MartÃnez-GarcÃa, A Carpio, V de Lorenzo,
Dynamics of Pseudomonas putida biofilms in an upscale experimental framework
Journal of Industrial Microbiology and Biotechnology 45 (10), 899-911, 2018
[25] A. Carpio, E. Cebrian, D. R. Espeso, P. Vidal,
Biofilm mechanics and patterns, in Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications, Springer Proceedings in Mathematics & Statistics 232, Springer Nature 2018
[26] LL Bonilla, A Carpio, M Carretero, G Duro, M Negreanu, F Terragni,
A convergent numerical scheme for integrodifferential kinetic models of angiogenesis,
Journal of Computational Physics 375, 1270-1294, 2018
[27] A Carpio, E Cebrián, P Vidal,
Biofilms as poroelastic materials,
International Journal of Non-Linear Mechanics 109, 1-8, 2019
[28] A Carpio, TG Dimiduk, F Le Louër, ML Rapún,
When topological derivatives met regularized Gauss-Newton iterations in
holographic 3D imaging,
Journal of Computational Physics 388, 224-251, 2019
[29] A Carpio, E Cebrián,
Incorporating Cellular Stochasticity in Solid–Fluid Mixture Biofilm Models,
Entropy 22 (2), 188, 2020
[30] A Carpio, S Iakunin, G Stadler,
Bayesian approach to inverse scattering with topological priors,
Inverse Problems 36 (10), 105001, 2020
[31] LL Bonilla, A Carpio, C Trenado,
Tracking collective cell motion by topological data analysis,
PLOS Computational Biology 16 (12), e1008407, 2020
[32] A Carpio, E Cebrian,
Positivity preserving high order schemes for angiogenesis models,
International Journal of Nonlinear Sciences and Numerical Simulation,
2021
https://doi.org/10.1515/ijnsns-2021-0112
[33] A Carpio, M Pena, ML Rapún,
Processing the 2D and 3D Fresnel experimental databases via topological
derivative methods,
Inverse Problems 37 (10), 105012, 2021