Brain Cell fractals

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Offline tpatriarche

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« on: May 12, 2018, 02:57:20 PM »
Real life fractals! In the beautiful sketches of brain cells and brain anatomy by Santiago Ramon y Cajal at the MIT Museum I noticed one with an eerie resemblance to the Mandelbrot set. Others were also clearly fractal, at least up to a point.  The sketch of Astrocytes particularly struck me — is there a known math fractal with this appearance, a cross between a star and a fern?

How hard would it be to write a fractal generator to emulate this beautiful natural phenomenon? Perhaps one might start with the "fern" fractal....

Linkback: https://fractalforums.org/share-a-fractal/22/brain-cell-fractals/1319/

Offline tavis

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« Reply #1 on: August 30, 2018, 05:41:54 PM »
Yes, brain fractals are amazing! There has definitely been research along the lines of modelling neurons with fractals. The two most common techniques are L-systems and Diffusion Limited Aggregation

Here is an application using L-systems: http://krasnow1.gmu.edu/cn3/L-Neuron/index.htm
And here is a research paper using DLA: https://www.semanticscholar.org/paper/Spatial-embedding-of-neuronal-trees-modeled-by-Luczak/3019c5bb61182b3b9cb1a5d750b5e83bc4e6a904
Check out the Mandelmap poster a detailed map of the Mandelbrot set in the style of a vintage map.


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