Numerical solution of calcium-mediated dendritic branch model

DOI10.1016/j.cam.2008.04.011zbMath1186.92007OpenAlexW1975612276MaRDI QIDQ1025879

J. Martínez

Publication date: 23 June 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.04.011

zbMATH Keywords

finite difference methoddendritesdendritic spinessynaptic plasticityspectral collocationneuron models

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Neural biology (92C20) Physiology (general) (92C30) Finite difference methods for boundary value problems involving PDEs (65N06) Computational methods for problems pertaining to biology (92-08)

Related Items

Spectral Method and High-Order Finite Differences for the Nonlinear Cable Equation ⋮ A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• Calcium-mediated spine stem restructuring
• A model of activity-dependent changes in dendritic spine density and spine structure
• Model of the dynamics of receptor potential in a mechanoreceptor
• Mathematical physiology
• A mathematical model of potential spreading along neuron dendrites of cerebellar granule cells
• The MATLAB ODE Suite
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• Spectral Methods in MATLAB
• Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue