I’ve now implemented a neuron growth algorithm. The goal of this algorithm is to generate realistic neuronal morphological from a concise description of their basic properties. I use the TREES algorithm combined with the morphological constraints used by the ROOTS algorithm. The algorithm is capable of making both dendrites and axons. Neuronal growth is constrained to an arbitrary area.
This animation shows an action potential propagating through an axonal arbor. The color represents the membrane electric potential: blue = -70mV, red = +55mV. The Soma is the large cylinder in the lower left corner. I constrained the axon into a spiral shape. The width and height of this shape are approximately 200 micrometers and the center of the shape recedes 600 micrometers into the distance. The model populated with Hodgkin-Huxley channels and an AP is initiated at the soma.
Cuntz H, Forstner F, Borst A, Hausser M (2010)
One Rule to Grow Them All: A General Theory of Neuronal Branching and Its Practical Application.
PLoS Comput Biol 6(8): e1000877.
Bingham CS, Mergenthal A, Bouteiller J-MC, Song D, Lazzi G and Berger TW (2020)
ROOTS: An Algorithm to Generate Biologically Realistic Cortical Axons and an Application to Electroceutical Modeling.
Front. Comput. Neurosci. 14:13.