# Dip and Buffering in a fast-slow system associated to Brain Lactacte Kinetics

Source: [Dip and Buffering in a fast-slow system associated to Brain Lactacte Kinetics](<https://www.sota2.com/research/paper/68fa50621e209131ce96b210>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:50:33.593Z

Authors: Marion Lahutte-Auboin, Robert Costalat, Jean-Pierre Fran\\c{c}oise, Remy Guillevin

Published: 2013-08-02T12:58:55.000Z

## Abstract

High-dimensional compartmental dynamical systems have been introduced to model brain metabolism. In this article, an approach is proposed to their mathematical analysis. Reductions of these models are obtained by replacing several compartments by a control term. The analysis focuses here on lactate kinetics. A mathematical analysis of the initial dip of lactacte, observed under stimulation, and of the periodic buffering, underlying the re- sponse to a repetitive sequence of identical stimuli, can be proposed. This mathematical analysis relies on asymptotics techniques of time multi-scaled dynamical systems such as averaging along slow manifolds.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1308.0486>)

[PDF](<https://arxiv.org/pdf/1308.0486.pdf>)