A distributed parameter identification problem in neuronal cable theory models.

摘要: Dendritic and axonal processes of nerve cells, along with the soma itself, have membranes spatially distributed densities ionic channels various kinds. These play a major role in characterizing types excitable responses expected cell type. are usually represented as constant parameters neural models because difficulty experimentally estimating them. However, through microelectrode measurements selective ion staining techniques, it is known that non-uniformly distributed. This paper presents non-optimization approach to recovering single non-uniform density use temporal data can be gotten from recording at ends fiber segment interest. The numerical first applied linear cable model transformed version has closed-form solutions. Then method shown applicable non-linear by showing recover potassium conductance Morris-Lecar for barnacle muscle, spine continuous dendritic Baer Rinzel.