Brain folding as a Fourier series yields a developmental clock
Goldschmidt, E.
Show abstract
The human cerebral cortex folds into a stereotyped shape during gestation. Different principles govern the large and small scales of the final brain geometry. Here, I show that the fetal cerebrum can be described as a band limited spherical harmonic Fourier object which entire gyrification process collapses to a single one-dimensional curve, in which the maximum harmonic degree acts as a developmental coordinate. The closed form descriptor predicts gestational age with mean absolute error 0.13 and 0.38 weeks across fetal brain atlases, exceeding the published learning-based state of the art by a factor of three to seven. The same descriptor, applied to single subjects in the FeTA pathological dataset, can classify the per subject distance from the normative trajectory and discriminate pathological from neurotypical fetuses. The result is a single closed form, zero-training-cost descriptor that simultaneously dates the fetal brain and detects atypical development.
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