Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph
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Publication:256041
DOI10.3934/ipi.2015.9.645zbMath1364.92004OpenAlexW2554612069MaRDI QIDQ256041
Jonathan Bell, Sergeĭ Anatol'evich Avdonin
Publication date: 9 March 2016
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2015.9.645
Trees (05C05) Applications of graph theory (05C90) Neural biology (92C20) System identification (93B30)
Related Items (12)
Determining distributed parameters in a neuronal cable model on a tree graph ⋮ Reconstruction of the coefficients of a star graph from observations of its vertices ⋮ Recovery of a potential on a quantum star graph from Weyl's matrix ⋮ Method for solving inverse spectral problems on quantum star graphs ⋮ On inverse dynamical and spectral problems for the wave and Schrödinger equations on finite trees. The leaf peeling method ⋮ Control and inverse problems for the heat equation with strong singularities ⋮ Recovery of the heat equation on a star graph ⋮ Input reconstruction by feedback control for the Schlögl and FitzHugh-Nagumo equations ⋮ Leaf peeling method for the wave equation on metric tree graphs ⋮ On the inverse problem of the two-velocity tree-like graph ⋮ An inverse problem for quantum trees with observations at interior vertices ⋮ Initial state estimation from limited observations of the heat equation in metric graphs
Cites Work
- Unnamed Item
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- Discerning ionic currents and their kinetics from input impedance data
- Identification problems in distributed parameter neuron models
- The boundary control approach to the Titchmarsh-Weyl \(m\)-function. I: The response operator and the \(A\)-amplitude
- Inverse problems for quantum trees
- Periodic orbit theory and spectral statistics for quantum graphs
- A new method for extracting cable parameters from input impedance data
- Identification of the cable parameters in the somatic shunt model
- A distributed parameter identification problem in neuronal cable theory models
- Determining a distributed parameter in a neural cable model via a boundary control method
- Can one hear the shape of a graph?
- Dynamical inverse problem on a metric tree
- Unique Identification of Eigenvalues and Coefficients in a Parabolic Problem
- Boundary spectral inverse problem on a class of graphs (trees) by the BC method
- On an inverse problem for tree-like networks of elastic strings
- Controllability of partial differential equations on graphs
- The boundary control approach to inverse spectral theory
- The BC-method in the inverse problem for the heat equation
- Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method
- Lateral overdetermination of the FitzHugh–Nagumo system
- Inverse problems for differential operators on trees with general matching conditions
- A Borg–Levinson theorem for trees
- Inverse spectral problems for Sturm–Liouville operators on graphs
- Inverse spectral problem for quantum graphs
- Inverse problems on graphs: recovering the tree of strings by the BC-method
- An adjoint method for channel localization
- An introduction to the mathematical theory of inverse problems
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