Quantitative Biology

    

Parametric Mathematical Model for the Human's Brain Global Shape

Authors: Jérôme Chauvet

Using two generative key components, i.e. self-similarity and sigmoidal functions, we showhow to build an idealized artero-veinous system that accurately encompasses the cortical hull of a human brain measured on real patient through angiographic imagery. Our algorithm, based on the constructal principle, demonstrates that, despite the complexity and sophistication of the human cerebral organ, it appears possible to gauge its general morphology by means of a theoritical model justified with pure mathematical approach and biophysical arguments. Our result might as well fit for both medical purpose and studies in evolutionary neuroscience.

Comments: 17 Pages.

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[v1] 2026-07-14 08:43:50

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