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Using integral equations to capture spatiotemporal relations in the brain

Award Number: R16GM154734
ORGANIZATION: NATIONAL INSTITUTE OF GENERAL MEDICAL SCIENCES
OPDIV: NIH
AWARD CLASS: DISCRETIONARY
AWARD ACTIVITY TYPE: SCIENTIFIC/HEALTH RESEARCH (INCLUDES SURVEYS)
PERIOD OF PERFORMANCE START DATE: 08/15/2024
PERIOD OF PERFORMANCE END DATE: 07/31/2028

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Using integral equations to capture spatiotemporal relations in the brain - Project Summary Medical recordings contain dynamical information that can provide quantitative pathological fingerprints that prove crucial to correct diagnostic. Brain recordings are particularly important for cognitive studies, as the state of the brain at a single instant is not sufficient to determine cognition, which is a highly complex dynamical process. Consequently, in order to correctly diagnose the severity of cognitive pathologies, it is important to analyze brain dynamics through their recordings. Machine Learning (ML) algorithms based on static approaches tend to miss the dynamical spatiotemporal relations of the recordings, while ML methods based on local equations do not take into account the long-distance spatiotemporal relations. Here, we propose to use ML methods based on nonlocal equations and operators that allow us to extract a dynamical fingerprint of the brain, and use this to develop diagnostic continuous scores (spectra of severity). The use of nonlocal equations such as integral equations and integro-differential equations to model the brain has been pioneered decades ago. However, these studies have never been extended to ML methods, except in our recent preliminary studies. Our focus, therefore, is to apply such methodologies to model (predict) brain dynamics, and employ the learned models to extract the model states (self-attention) that characterize brain cognition. These states will therefore be used to develop diagnostic scores.


Issue Date FY	Funding FY	Legal Entity Name	Legal Entity Address	Legal Entity City	Legal Entity State	Legal Entity Zip Code	Legal Entity COUNTY	Legal Entity COUNTRY	Assistance Listing	Award Code	Budget Year	Action Date	Action Type	Action Amount

Issue Date FY: 2025 ( Subtotal = $174,534 )
2025	2025	IDAHO STATE UNIVERSITY	921 S 8TH AVE	POCATELLO	ID	83201	BANNOCK	USA	Biomedical Research and Research Training	000	2	7/31/2025	NON-COMPETING CONTINUATION	$174,534
														Subtotal = $174,534

Issue Date FY: 2024 ( Subtotal = $174,794 )
2024	2024	IDAHO STATE UNIVERSITY	921 S 8TH AVE	POCATELLO	ID	83201	BANNOCK	USA	Biomedical Research and Research Training	000	1	8/15/2024	NEW	$174,794
														Subtotal = $174,794

Grand Total All Awards = $349,328

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Using integral equations to capture spatiotemporal relations in the brain

Award Number: R16GM154734

ORGANIZATION: NATIONAL INSTITUTE OF GENERAL MEDICAL SCIENCES

OPDIV: NIH

AWARD CLASS: DISCRETIONARY

AWARD ACTIVITY TYPE: SCIENTIFIC/HEALTH RESEARCH (INCLUDES SURVEYS)

PERIOD OF PERFORMANCE START DATE: 08/15/2024

PERIOD OF PERFORMANCE END DATE: 07/31/2028

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