Related Experiment Video
Updated: Aug 14, 2026

Measurement of the Pressure-volume Curve in Mouse Lungs
Published on: January 27, 2015
A proposed curvilinearity index for quantifying airflow obstruction
Chang-Jiang Zheng1, Alexander B Adams, Michael P McGrail
1Department of Occupational and Environmental Medicine, Regions Hospital, 640 Jackson Street, St Paul, MN 55101, USA. zhen0075@umn.edu
A new curvature index (k(max)) quantifies expiratory flow-volume curve abnormalities in obstructive lung disease. This index shows an exponential relationship with forced expiratory volume in the first second (FEV(1)).
Area of Science:
- Pulmonary Medicine
- Biomedical Engineering
- Respiratory Physiology
Background:
- Forced expiratory volume in the first second (FEV(1)) is key for airway obstruction assessment.
- Expiratory flow-volume curve (FVC) curvilinearity supports FEV(1) obstruction assessment.
- A quantitative index for pathological FVC curvilinearity is currently lacking.
Purpose of the Study:
- Introduce a novel "curvature" index (k(max)) to quantify expiratory flow-volume curve abnormalities.
- Compare the new k(max) index with forced expiratory volume in the first second (FEV(1)) values.
- Analyze spirometry data from a sequential patient cohort.
Main Methods:
- Fit a hyperbolic function to the descending phase of the expiratory flow-volume curve.
- Defined a global curvature index k(max) = b(1)/2(b(0)b(2)+b(1)) based on estimated coefficients.
- Utilized statistical software to calculate k(max) from 67 patient spirometry datasets.
Main Results:
- Individual k(max) estimates correlated well with observed curvilinearity.
- A significant exponential relationship was found between k(max) and FEV(1) values.
- The k(max) index effectively quantifies the curvilinear phenomenon in the FVC loop.
Conclusions:
- A new curvature index (k(max)) was defined to quantify expiratory flow-volume loop curvilinearity.
- The index utilizes data from a substantial portion of the flow-volume curve.
- Preliminary findings suggest an exponential relationship between k(max) and FEV(1), enabling quantitative study of obstruction.
Related Concept Videos
Bernoulli's Equation for Flow Normal to a Streamline
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines. However, the...
Bernoulli's Equation for Flow Along a Streamline
Routh-Hurwitz Criterion I
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first column of the Routh...
Bernoulli's Principle: Applications
Entrainment devices use a high fluid speed to create low pressures and, thus, entrain one fluid into another. Some examples of these devices are given below:
Poiseuille's Law and Reynolds Number