TY  - JOUR
A1  - Liao, Maijia
A1  - Bird, Alex D.
A1  - Cuntz, Hermann
A1  - Howard, Jonathon
T1  - Topology recapitulates morphogenesis of neuronal dendrites
T2  - Cell reports
N2  - Branching allows neurons to make synaptic contacts with large numbers of other neurons, facilitating the high connectivity of nervous systems. Neuronal arbors have geometric properties such as branch lengths and diameters that are optimal in that they maximize signaling speeds while minimizing construction costs. In this work, we asked whether neuronal arbors have topological properties that may also optimize their growth or function. We discovered that for a wide range of invertebrate and vertebrate neurons the distributions of their subtree sizes follow power laws, implying that they are scale invariant. The power-law exponent distinguishes different neuronal cell types. Postsynaptic spines and branchlets perturb scale invariance. Through simulations, we show that the subtree-size distribution depends on the symmetry of the branching rules governing arbor growth and that optimal morphologies are scale invariant. Thus, the subtree-size distribution is a topological property that recapitulates the functional morphology of dendrites.
KW  - topology
KW  - dendrite
KW  - morphology
KW  - power law
KW  - scale invariance
KW  - branching
Y1  - 2023
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/79428
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-794288
SN  - 2211-1247
VL  - 42
IS  - 11, art. 113268
PB  - Elsevier
CY  - Amsterdam
ER  -