A distributed parameter identification problem in neuronal cable theory models

DOI10.1016/j.mbs.2004.07.001zbMath1063.92009OpenAlexW2101798517WikidataQ51975851 ScholiaQ51975851MaRDI QIDQ1781617

Jonathan Bell, Gheorghe Craciun

Publication date: 27 June 2005

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2004.07.001

zbMATH Keywords

Hodgkin-HuxleyInverse problemsMorris-Lecar modelCable theoryDistributed parametersIon channel densityVariable conductance

Mathematics Subject Classification ID

Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biophysics (92C05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

Determining distributed parameters in a neuronal cable model on a tree graph ⋮ Determining a distributed parameter in a neural cable model via a boundary control method ⋮ An inverse problem for quantum trees with observations at interior vertices ⋮ Unnamed Item ⋮ Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph

Cites Work

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• Discerning ionic currents and their kinetics from input impedance data
• Identification problems in distributed parameter neuron models
• A new method for extracting cable parameters from input impedance data
• Identification of the cable parameters in the somatic shunt model
• Computational cell biology
• An inversion method for parabolic equations based on quasireversibility
• Introduction to Theoretical Neurobiology
• Inverse problems for partial differential equations

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