title: Quantitative analysis of dendritic branching. I. Simple formulae for the quantitative analysis of dendritic branching.
abstract: Dendritic branching of neurons may be quantitatively studied using applications of graph theory. Dendritic ramifications may be considered as 'forests' of planted, stemmed, binary 'trees' with simple mathematical properties. Two fundamental numbers, that of dendritic tips and that of dendritic stems, usually suffice to quantify the dendritic branching of one neuron as, in most cases, they allow the computation of all other numbers of dendritic points and segments.
mesh_terms: D000818:Animals; D001921:Brain / Q000648:ultrastructure*; D002415:Cats; D003712:Dendrites / Q000648:ultrastructure*; D006652:Histological Techniques; D006801:Humans; D008433:Mathematics; D051381:Rats