Identification problems in distributed parameter convergence in multivariable recursive identification

摘要: Abstract One-dimensional cable theory provides the theoretical framework to evaluate role of linear electrical membrane properties and dendritic geometry in neuronal signal reception processing. This article presents basic physical principles as well mathematical problems arising modelling. The main types passive neuron models are reviewed their use exploring important aspects a neuron's processing capabilities is demonstrated. Employing continuum approach, new model current flow neurons with branching dendrites introduced. Applying results on parameter identifiability one-dimensional partial differential equations parabolic type, each shown be not identifiable, i.e. system unidentifiable. Identifiable combinations parameters corresponding finite regions space, however, can determined which limited by physiological restrictions derived from experimental data. relevance identification problem distributed explain function discussed.