Sensitivity analysis of the Poisson Nernst-Planck equations: a finite element approximation for the sensitive analysis of an electrodiffusion model

DOI10.1007/s00285-018-1266-2zbMath1410.92027OpenAlexW2890125663WikidataQ57120233 ScholiaQ57120233MaRDI QIDQ1738007

Ibrahima Dione, Nicolas Doyon, Jean Deteix

Publication date: 29 March 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1266-2

zbMATH Keywords

finite elementsionic concentrationselectrodiffusionsensitivity equation methodnode of ranvier

Mathematics Subject Classification ID

Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (2)

Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations ⋮ Sensitivity of the electrical response of a node of Ranvier model to alterations of the myelin sheath geometry

Uses Software

• NEURON
• ADIC

Cites Work

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• Remarks on the local existence of solutions to the Debye system
• On the performance of anisotropic mesh adaptation for scroll wave turbulence dynamics in reaction-diffusion systems
• Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
• Modelling and estimating uncertainty in parameter estimation
• Model Calibration and Parameter Estimation
• Intermediate Physics for Medicine and Biology
• Solving Ordinary Differential Equations I
• Evaluating Derivatives
• Automatic differentiation of numerical integration algorithms
• The Debye system: existence and large time behavior of solutions
• Error analysis of finite element method for Poisson-Nernst-Planck equations
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