Graduation Year


Date of Submission


Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Arts



Second Department

Mathematical Sciences

Reader 1

John Milton

Reader 2

Michael Spezio

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

2022 Sophia E Epstein


The majority of seizures are self-limiting. Within a few minutes, the observed neuronal synchrony and deviant dynamics of a tonic-clonic or generalized seizure often terminate. However, a small epilesia partialis continua can occur for years. The mechanisms that regulate subcortical activity of neuronal firing and seizure control are poorly understood. Published studies, however, through PET scans, ketogenic treatments, and in vivo mouse experiments, observe hypermetabolism followed by metabolic suppression. These observations indicate that energy can play a key role in mediating seizure dynamics. In this research, I seek to explore this hypothesis and propose a mathematical framework to model how energy may limit seizure propagation. Expanding upon existing models of neuronal spiking and energy consumption, the model accounts for change in available energy over time. The results of this model indicate constrained energy consumption is a plausible mechanism for mediating seizure termination.

Available for download on Wednesday, April 24, 2024