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Modelización y simulación: Ejemplos en Biología

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2015-12
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Abstract
Ejemplos de modelos matemáticos formulados para distintas aplicaciones biológicas.
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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