Related Experiment Video
Updated: Jul 28, 2026

07:56
Evaluating Regional Pulmonary Deposition using Patient-Specific 3D Printed Lung Models
Published on: November 11, 2020
Validity of the lagged normal density function as a model for pulmonary indicator dispersion
1Zentrum Physiologie und Pathophysiologie, Universität Göttingen, West Germany.
Biomedical Instrumentation & Technology
|January 1, 1990
Summary
The lagged normal density function effectively models pulmonary indicator transport, providing accurate mean transit times for calculating indicator volumes of distribution in lung research.
Area of Science:
- Physiology
- Medical Imaging
- Pharmacokinetics
Background:
- Pulmonary indicator dispersion is crucial for understanding lung function.
- Accurate modeling of indicator transport is essential for physiological studies.
- Existing models may not fully capture the complexities of lung indicator dynamics.
Purpose of the Study:
- To evaluate the efficacy of the lagged normal density function in modeling intravascular and diffusible indicator dispersion in the lungs.
- To compare the lagged normal density function model with a model-free deconvolution technique.
- To assess the utility of the lagged normal density function for determining indicator volumes of distribution.
Main Methods:
- Recorded thermal-indocyanine green dye kinetics in mongrel dogs following central venous injection.
- Employed a model-free deconvolution technique to compute reference pulmonary transport functions.
- Modeled pulmonary indicator transport using the lagged normal density function, with parameters derived via nonlinear least-squares and iterative convolution.
- Induction of pulmonary edema and postural changes were used to create varying physiological conditions.
Main Results:
- Mean transit times calculated using the lagged normal density function showed good agreement with model-free deconvolution results.
- The lagged normal density function provided a useful approximation for mean transit times.
- Model-derived transport function shapes (dispersion, skewness) were less accurately described compared to mean transit times.
Conclusions:
- The lagged normal density function is a valuable tool for modeling pulmonary indicator transport.
- This model is particularly useful for determining indicator volumes of distribution when accurate mean transit times are the primary requirement.
- While not perfectly capturing all aspects of transport function shape, its accuracy in mean transit time estimation supports its application in lung physiology research.
More Related Videos
Related Concept Videos
Density
Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...
Applications of Normal Distribution
The normal distribution is a useful statistical tool. One of its practical applications is determining the door height after considering the normal distribution of heights of persons, such that many can pass through it easily without striking their heads. The normal distribution can also determine the probability of a person having a height less than a specific height.
The heights of 15 to 18-year-old males from Chile from 1984 to 1985 followed a normal distribution. The mean height is 172.36...
The heights of 15 to 18-year-old males from Chile from 1984 to 1985 followed a normal distribution. The mean height is 172.36...
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
Pharmacodynamic Models: Logarithmic Concentration–Effect Model
The log-linear model is a pharmacological framework used to describe the relationship between drug concentration and its effect. This model is particularly relevant when the observed effects range between 20% and 80% of the drug’s maximum effect (Emax), where a near-linear relationship is observed between the log of drug concentration and the measured effect. However, the log-linear model does not predict the maximum possible effect (Emax) or the effect at zero drug concentration, limiting its...
Introduction to Normal Distributions
Standardized test scores often follow a symmetric distribution that can be modeled with the normal distribution, a fundamental concept in statistics. This distribution is particularly useful for interpreting test performance fairly across populations, as it provides a mathematical framework for understanding variability and central tendency in large datasets.From Histogram to Frequency DistributionRaw test data are often displayed using histograms, where the height of each bar represents the...
Linear Approximations
For a differentiable function of two variables, linear approximation estimates values near a known point by replacing the curved surface with its tangent plane. Consider the function\begin{equation*}f(x,y)=x^2+3y^2\end{equation*}near the point (2, 1). The exact value at this point is f(2, 1) = 22 + 3(1)2 = 4 + 3 = 7.The linear approximation of f(x, y)) near (a, b) is\begin{equation*}L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(a,b)(y-b)\end{equation*}First, compute the partial derivatives: fx(x, y) = 2x and...

