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Oblate Spheroid Model of Cortical Folding

Title: An Oblate Spheroid Model of Cortical Folding.
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Name(s): Grazzini, Courtney, author
Department of Mathematics
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2015
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: In previous work, Striegel and Hurdal have developed a mathematical model for cortical folding pattern formation during development (Striegel). A Turing reaction-diffusion system and a prolate spheroid domain were used to model the shape of the ventricle during development. They assumed a chemical hypothesis for cortical folding development. The chemical hypothesis suggests that a radial glial cell duplicates into an intermediate progenitor (IP) cell and a new radial glial cell only if it is activated. In turn, the IP cell duplicates into one or two neuroblasts. These cells form the cortical layer. The amplifications due to activated radial glial cells create gyral walls, and the inhibited cells create sulcal valleys. In this research, we modify Striegel and Hurdal's model to use an oblate spheroid domain. We develop mathematical equations using this new domain and investigate the role of various parameters through numerical stimulations. We suggest how these results can be applied to diseases, such as ventriculomegaly and holoprosencephaly, which alter the shape and size of the brain.
Identifier: FSU_migr_uhm-0487 (IID)
Keywords: cortical folding, cortical folding development, model, oblate spheroid
Submitted Note: A Thesis submitted to the Department of Mathematics in partial fulfillment of the requirements for graduation with Honors in the Major.
Degree Awarded: Spring Semester, 2015.
Date of Defense: April 17, 2015.
Subject(s): Developmental biology
Dynamics
Nonlinear systems
Applied mathematics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0487
Restrictions on Access: http://creativecommons.org/licenses/by/4.0/
Owner Institution: FSU
Is Part of Series: Honors Theses.

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Grazzini, C. (2015). An Oblate Spheroid Model of Cortical Folding. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0487