Geometric theory predicts bifurcations in minimal wiring cost trees are flat
نویسندگان
چکیده
In the main text (Figure 1) cone angles were computed for complete branches, i.e. for each branch from the bifurcation point to the next bifurcation or terminal point, because these points are morphologically well defined. In Figure S2 we show the same analysis but for bifurcations to the closest point available in the reconstruction. These first points were selected by those who performed each neuron reconstruction and the corresponding segment lengths tend to be quite variable. Though the proportion of planar bifurcations are smaller than in Figure 1, the difference with random bifurcations remains highly significant for all (KS-test, p-value = 10).
منابع مشابه
Geometric Theory Predicts Bifurcations in Minimal Wiring Cost Trees in Biology Are Flat
The complex three-dimensional shapes of tree-like structures in biology are constrained by optimization principles, but the actual costs being minimized can be difficult to discern. We show that despite quite variable morphologies and functions, bifurcations in the scleractinian coral Madracis and in many different mammalian neuron types tend to be planar. We prove that in fact bifurcations emb...
متن کاملA scaling law derived from optimal dendritic wiring.
The wide diversity of dendritic trees is one of the most striking features of neural circuits. Here we develop a general quantitative theory relating the total length of dendritic wiring to the number of branch points and synapses. We show that optimal wiring predicts a 2/3 power law between these measures. We demonstrate that the theory is consistent with data from a wide variety of neurons ac...
متن کاملSloppy morphological tuning in identified neurons of the crustacean stomatogastric ganglion
Neuronal physiology depends on a neuron's ion channel composition and unique morphology. Variable ion channel compositions can produce similar neuronal physiologies across animals. Less is known regarding the morphological precision required to produce reliable neuronal physiology. Theoretical studies suggest that moraphology is tightly tuned to minimize wiring and conduction delay of synaptic ...
متن کاملGlobally-Optimal Anatomical Tree Extraction from 3D Medical Images Using Pictorial Structures and Minimal Paths
Extracting centerlines of anatomical trees (e.g., vasculature and airways) from 3D medical images is a crucial preliminary step for various medical applications. We propose an automatic tree extraction method that leverages prior knowledge of tree topology and geometry and ensures globally-optimal solutions. We define a pictorial structure with a corresponding cost function to detect tree bifur...
متن کاملWiring Economy of Pyramidal Cells in the Juvenile Rat Somatosensory Cortex
Ever since Cajal hypothesized that the structure of neurons is designed in such a way as to save space, time and matter, numerous researchers have analyzed wiring properties at different scales of brain organization. Here we test the hypothesis that individual pyramidal cells, the most abundant type of neuron in the cerebral cortex, optimize brain connectivity in terms of wiring length. In this...
متن کامل