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TitleModelling dendritic spines with the finite element method, investigating the impact of geometry on electric and calcic responses.
Publication TypeJournal Article
Year of Publication2020
AuthorsBoahen, Frank, and Nicolas Doyon
JournalJ Math Biol
Volume81
Issue2
Pagination517-547
Date Published2020 08
ISSN1432-1416
Abstract

Understanding the relationship between shape and function of dendritic spines is an elusive topic. Several modelling approaches have been used to investigate the interplay between spine geometry, calcium diffusion and electric signalling. We here use a second order finite element method to solve the Poisson-Nernst-Planck equations and describe electrodiffusion in dendritic spines. With this, we obtain relationships between dendritic geometry and calcic as well as electric responses to synaptic events. Our findings support the hypothesis that spine geometry plays a role shaping the electrical responses to synaptic events. Our method was also able to reveal the fine scale distribution of calcium in spines with irregular shapes.

DOI10.1007/s00285-020-01517-7
Alternate JournalJ Math Biol
PubMed ID32691098