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Functional lateralization is typically measured by comparing activation levels across the right and left hemispheres of the brain. Significant additional information, however, exists within distributed multi-voxel patterns of activity - a format not detectable by traditional activation-based analysis of functional magnetic resonance imaging (fMRI) data. We introduce and test two methods -one anatomical, one functional- that allow hemispheric information asymmetries to be detected. We first introduce and apply a novel tool that draws on brain 'surface fingerprints' to pair every location in one hemisphere with its hemispheric homologue. We use anatomical data to show that this approach is more accurate than the common distance-from-midline method for comparing bilateral regions. Next, we introduce a complementary analysis method that quantifies multivariate laterality in functional data. This new 'multivariate Laterality Index' (mLI) reflects both quantitative and qualitative information-differences across homologous activity patterns. We apply the technique here to functional data collected as participants viewed faces and non-faces. Using the previously generated surface fingerprints to pair-up homologous searchlights in each hemisphere, we use the novel multivariate laterality technique to identify face-information asymmetries across right and left counterparts of the fusiform gyrus, inferior temporal gyrus, superior parietal lobule, and early visual areas. The typical location of the fusiform face area has greater information asymmetry for faces than for shapes. More generally, we argue that the field should consider an information-based approach to lateralization.
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On the Cover of the Rolling Stone
We construct a convex polytope of unit diameter that when placed on a horizontal surface on one of its faces, it repeatedly rolls over from one face to another until it comes to rest on some face, far away from its start position: that is, the horizontal distance between the footprints of the start and final faces can be larger than any given threshold. According to the laws of physics, the vertical distance between the center of mass of the polytope and the horizontal surface continuously decreases throughout the entire motion. The speed of the motion is irrelevant. Specifically, if the polytope is manually stopped after each tumble, the motion resumes when released (unless it stands on the final stable face). Moreover, such a polytope can be realized so that (i) it has a unique stable face, and (ii) it is an arbitrary close approximation of a unit ball. As such, this construction gives a positive answer to a question raised by Conway (1969). The arbitrarily large rolling distance property investigated here for the first time raises intriguing questions and opens new avenues for future research.
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- Award ID(s):
- 1800734
- PAR ID:
- 10170428
- Date Published:
- Journal Name:
- Proceedings of the 2020 ACM-SIAM Symposium on Discrete Algorithms
- Page Range / eLocation ID:
- 2575-2586
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Conference Paper:
- https://doi.org/10.1137/1.9781611975994.157
