Related Experiment Video
Updated: Apr 11, 2026

Cerebral Blood Oxygenation Measurement Based on Oxygen-dependent Quenching of Phosphorescence
Published on: May 4, 2011
A mathematical model relating cortical oxygenated and deoxygenated hemoglobin flows and volumes to neural activity
Nathan R Cornelius1, Nozomi Nishimura, Minah Suh
1Department of Biomedical Engineering, Weill Hall, Cornell University, Ithaca, NY 14853, USA.
Objective:
To describe a toolkit of components for mathematical models of the relationship between cortical neural activity and space-resolved and time-resolved flows and volumes of oxygenated and deoxygenated hemoglobin motivated by optical intrinsic signal imaging (OISI).
Approach:
Both blood flow and blood volume and both oxygenated and deoxygenated hemoglobin and their interconversion are accounted for. Flow and volume are described by including analogies to both resistive and capacitive electrical circuit elements. Oxygenated and deoxygenated hemoglobin and their interconversion are described by generalization of Kirchhoff's laws based on well-mixed compartments.
Main Results:
Mathematical models built from this toolkit are able to reproduce experimental single-stimulus OISI results that are described in papers from other research groups and are able to describe the response to multiple-stimuli experiments as a sublinear superposition of responses to the individual stimuli.
Significance:
The same assembly of tools from the toolkit but with different parameter values is able to describe effects that are considered distinctive, such as the presence or absence of an initial decrease in oxygenated hemoglobin concentration, indicating that the differences might be due to unique parameter values in a subject rather than different fundamental mechanisms.
More Related Videos
11:39Non-invasive Optical Measurement of Cerebral Metabolism and Hemodynamics in Infants
Published on: March 14, 2013
07:06Simultaneous Evaluation of Cerebral Hemodynamics and Light Scattering Properties of the In Vivo Rat Brain Using Multispectral Diffuse Reflectance Imaging
Published on: May 7, 2017
Related Concept Videos
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
Autoregulation of Blood Flow
Chemical Signaling in Autoregulation
Chemical signaling operates at the precapillary sphincter level, inciting either contraction or relaxation....
Cardiac Output and Stroke Volume
In an average resting adult male, the typical cardiac...
Magnetic Resonance Imaging
Cardiac Output II: Effect of Stroke Volume on Cardiac Output
Preload
Preload refers to the initial elongation of the cardiac myocytes before contraction and is related to the volume of blood filling the heart at the end of diastole, or end-diastolic volume. The...
Applications of Integration to Find Blood Flow