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Martingale solutions of stochastic nonlocal cross-diffusion systems.
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- Networks & Heterogeneous Media, 2022, v. 17, n. 5, p. 719, doi. 10.3934/nhm.2022024
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Martingale solutions of stochastic nonlocal cross-diffusion systems.
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- Networks & Heterogeneous Media, 2022, v. 17, n. 5, p. 719, doi. 10.3934/nhm.2022024
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ON A VORTICITY-BASED FORMULATION FOR REACTION-DIFFUSION-BRINKMAN SYSTEMS.
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- Networks & Heterogeneous Media, 2018, v. 13, n. 1, p. 69, doi. 10.3934/nhm.2018004
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STABILITY OF CONDUCTIVITIES IN AN INVERSE PROBLEM IN THE REACTION-DIFFUSION SYSTEM IN ELECTROCARDIOLOGY.
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- Networks & Heterogeneous Media, 2015, v. 10, n. 2, p. 369, doi. 10.3934/nhm.2015.10.369
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A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition.
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- Discrete & Continuous Dynamical Systems - Series B, 2021, v. 26, n. 9, p. 4963, doi. 10.3934/dcdsb.2020321
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Mathematical analysis of cardiac electromechanics with physiological ionic model.
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- Discrete & Continuous Dynamical Systems - Series B, 2019, v. 24, n. 9, p. 4863, doi. 10.3934/dcdsb.2019035
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CONVERGENCE OF A FINITE VOLUME SCHEME FOR NONLOCAL REACTION-DIFFUSION SYSTEMS MODELLING AN EPIDEMIC DISEASE.
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- Discrete & Continuous Dynamical Systems - Series B, 2009, v. 11, n. 4, p. 823, doi. 10.3934/dcdsb.2009.11.823
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ANISOTROPIC NONLINEAR ELLIPTIC SYSTEMS WITH MEASURE DATA AND ANISOTROPIC HARMONIC MAPS INTO SPHERES.
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- Electronic Journal of Differential Equations, 2006, v. 2006, p. 1
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Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation.
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- Mathematical Models & Methods in Applied Sciences, 2023, v. 33, n. 10, p. 2035, doi. 10.1142/S0218202523500483
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Solvability analysis and numerical approximation of linearized cardiac electromechanics.
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- Mathematical Models & Methods in Applied Sciences, 2015, v. 25, n. 5, p. 959, doi. 10.1142/S0218202515500244
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CONVERGENCE OF A FINITE VOLUME SCHEME FOR GAS-WATER FLOW IN A MULTI-DIMENSIONAL POROUS MEDIUM.
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- Mathematical Models & Methods in Applied Sciences, 2014, v. 24, n. 1, p. 145, doi. 10.1142/S0218202513500498
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ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS.
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- Mathematical Models & Methods in Applied Sciences, 2011, v. 21, n. 2, p. 307, doi. 10.1142/S0218202511005064
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A NUMERICAL ANALYSIS OF A REACTION–DIFFUSION SYSTEM MODELING THE DYNAMICS OF GROWTH TUMORS.
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- Mathematical Models & Methods in Applied Sciences, 2010, v. 20, n. 5, p. 731, doi. 10.1142/S0218202510004428
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ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT.
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- Mathematical Models & Methods in Applied Sciences, 2007, v. 17, n. 5, p. 783, doi. 10.1142/S0218202507002108
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On 3D DDFV Discretization of Gradient and Divergence Operators: Discrete Functional Analysis Tools and Applications to Degenerate Parabolic Problems.
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- Computational Methods in Applied Mathematics, 2013, v. 13, n. 4, p. 369, doi. 10.1515/cmam-2013-0011
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Stability of the Ionic Parameters of a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology.
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- Acta Applicandae Mathematicae, 2024, v. 193, n. 1, p. 1, doi. 10.1007/s10440-024-00682-x
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A virtual element method for a nonlocal FitzHugh–Nagumo model of cardiac electrophysiology.
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- IMA Journal of Numerical Analysis, 2020, v. 40, n. 2, p. 1544, doi. 10.1093/imanum/drz001
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On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.
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- IMA Journal of Numerical Analysis, 2012, v. 32, n. 4, p. 1574, doi. 10.1093/imanum/drr046
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A 3D reaction–diffusion system describing calcium dynamics in cardiac cell.
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- Mathematical Modelling of Natural Phenomena, 2019, v. 14, n. 2, p. N.PAG, doi. 10.1051/mmnp/2018064
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A positive cell vertex Godunov scheme for a Beeler–Reuter based model of cardiac electrical activity.
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- Numerical Methods for Partial Differential Equations, 2021, v. 37, n. 1, p. 262, doi. 10.1002/num.22528
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A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology.
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- Numerical Methods for Partial Differential Equations, 2010, v. 26, n. 6, p. 1377, doi. 10.1002/num.20495
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Cardiac Activation Maps Reconstruction: A Comparative Study Between Data-Driven and Physics-Based Methods.
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- Frontiers in Physiology, 2021, v. 12, p. 1, doi. 10.3389/fphys.2021.686136
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Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 – Modeling and Well-Posedness.
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- Acta Applicandae Mathematicae, 2022, v. 179, n. 1, p. 1, doi. 10.1007/s10440-022-00498-7
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Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model.
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- Acta Applicandae Mathematicae, 2021, v. 176, n. 1, p. 1, doi. 10.1007/s10440-021-00459-6
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Mathematical Analysis and Pattern Formation for a Partial Immune System Modeling the Spread of an Epidemic Disease.
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- Acta Applicandae Mathematicae, 2011, v. 115, n. 1, p. 17, doi. 10.1007/s10440-010-9569-3
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Turing pattern dynamics and adaptive discretization for a super-diffusive Lotka-Volterra model.
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- Journal of Mathematical Biology, 2016, v. 72, n. 6, p. 1441, doi. 10.1007/s00285-015-0917-9
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A CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL.
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- Journal of Biological Systems, 2023, v. 31, n. 2, p. 345, doi. 10.1142/S0218339023300026
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NUMERICAL ANALYSIS FOR A THREE INTERACTING SPECIES MODEL WITH NONLOCAL AND CROSS DIFFUSION.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2015, v. 49, n. 1, p. 171, doi. 10.1051/m2an/2014028
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NONLINEAR ANISOTROPIC ELLIPTIC AND PARABOLIC EQUATIONS WITH VARIABLE EXPONENTS AND L¹ DATA.
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- Communications on Pure & Applied Analysis, 2013, v. 12, n. 3, p. 1201, doi. 10.3934/cpaa.2013.12.1201
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RENORMALIZED SOLUTIONS OF AN ANISOTROPIC REACTION-DIFFUSION-ADVECTION SYSTEM WITH L¹ DATA.
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- Communications on Pure & Applied Analysis, 2006, v. 5, n. 4, p. 733
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Optimal control for a two-sidedly degenerate aggregation equation.
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- Nonlinear Analysis: Modeling & Control, 2023, v. 28, n. 4, p. 780, doi. 10.15388/namc.2023.28.32395
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Optimal control for nonlocal reaction‐diffusion system describing calcium dynamics in cardiac cell.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 6, p. 4802, doi. 10.1002/mma.7071
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Kinetic‐fluid derivation and mathematical analysis of the cross‐diffusion–Brinkman system.
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 16, p. 6288, doi. 10.1002/mma.5139
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Elliptic equations in weighted Sobolev spaces of infinite order with L<sup>1</sup> data.
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- Mathematical Methods in the Applied Sciences, 2010, v. 33, n. 1, p. 49, doi. 10.1002/mma.1149
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On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding.
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- Mathematical Methods in the Applied Sciences, 2009, v. 32, n. 13, p. 1704, doi. 10.1002/mma.1107
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