Size and curvature regulate pattern selection in the mammalian brain

Budday, S., Steinmann, P. , Goriely, A. and Kuhl, E. (2015) Size and curvature regulate pattern selection in the mammalian brain. Extreme Mechanics Letters, 4, pp. 193-198. (doi: 10.1016/j.eml.2015.07.004)

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Abstract

Mammalian brains display a wide variety of shapes and surface morphologies. Their characteristically folded surface is closely correlated to neuronal activity and serves as a clinical indicator for physiological and pathological conditions. Yet, the regulators of pattern formation in evolution and development remain poorly understood. Here we show how brain size and curvature affect the folding pattern in the developing mammalian brain. We model cortical folding as the instability problem of a bilayered system subjected to growth-induced compression. Using analytical estimates and continuum models for finite growth, we systematically explore the effects of geometric factors on the evolution of surface shape. We demonstrate that extrinsic geometric features–including brain size, cortical thickness, and cortical curvature–tightly regulate pattern selection: The mammalian brain is extremely soft and even small environmental changes can create extremely large alterations in its surface morphology. Our simulations explain why gyrification increases with brain size and why longer brains tend to fold more longitudinally than radially. Our results suggest that brain folding is driven, at least in part, by extreme mechanics, rather than by phylogeny alone.

Item Type:Articles
Additional Information:We acknowledge support through the German National Science Foundation grant STE 544/50-1, the Wolfson/Royal Society Merit Award Reintegration Grant under EC Framework VII, the Stanford Bio-X Interdisciplinary Initiatives Program, and the National Institutes of Health grant U01 HL119578.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Budday, S., Steinmann, P., Goriely, A., and Kuhl, E.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Extreme Mechanics Letters
Publisher:Elsevier
ISSN:2352-4316
ISSN (Online):2352-4316
Published Online:17 July 2015
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