Terminal and intermediate segment lenghts in neuronal trees with finite length |
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Authors: | Mark P van Veen Jaap van Pelt |
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Institution: | (1) Netherlands Institute for Brain Research, Meibergdreef 33, NL-1105 AZ Amsterdam, The Netherlands |
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Abstract: | A basic but neglected property of neuronal trees is their finite length. This finite length restricts the length of a segment
to a certain maximum. The implications of the finite length of the tree with respect to the segment length distributions of
terminal and intermediate segments are shown by means of a stochastic model. In the model it is assumed that branching is
governed by a Poisson process. The model shows that terminal segments are expected to be longer than intermediate segments.
Terminal and intermediate segments are expected to decrease in length with incrasing centrifugal order. The results are compared
with data fromin vivo pyramidal cells from rat brain and tissue cultured ganglion cells from chicken. A good agreement between data and model was
found. |
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