Abstract
Radiotracers are widely used for the investigation of organ perfusion and function. One of the quantitative approaches to analyze radiotracer data is the calculation of the impulse response function, which is obtained by deconvolution analysis of the time-activity curves measured over the organ. Since exactness of the calculated impulse response function depends both on the counting statistics and on the deconvolution algorithm applied, computer simulated time-activity curves were used to test the least squares deconvolution program based on the matrix regularization algorithm. Criteria of clinical importance (error in the calculated organ function parameters) and criteria of mathematical importance (deconvolution and reconvolution error) were investigated. For three typical impulse response functions f(t), it was found that: 1. In cases of noncompartmental vascular-capillary f(t)'s, a high degree of smoothing is preferable during deconvolution, in this way the error becomes systematic but controllable. 2. Noncompartmental vascular-tubular f(t)'s are noise sensitive, but fortunately, noise in the data can be held to a minimum. 3. Compartmental f(t)'s need only a minimal degree of smoothing; their components can be identified in a second step using a multiexponential least squares fit.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 148-154 |
| Number of pages | 7 |
| Journal | European Journal Of Nuclear Medicine |
| Volume | 13 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 1987 |
| Externally published | Yes |
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Keywords
- Compartmental and noncompartmental tracer kinetics
- Data noise
- Digital filtering
- Impulse response function
- Least squares deconvolution
- Matrix regularization
- Simulation
ASJC Scopus subject areas
- Radiology Nuclear Medicine and imaging
Cite this
Effects of statistical noise and digital filtering on the parameters calculated from the impulse response function. / Szabo, Zsolt; Nyitrai, Lajos; Sondhaus, Charles.
In: European Journal Of Nuclear Medicine, Vol. 13, No. 3, 06.1987, p. 148-154.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Effects of statistical noise and digital filtering on the parameters calculated from the impulse response function
AU - Szabo, Zsolt
AU - Nyitrai, Lajos
AU - Sondhaus, Charles
PY - 1987/6
Y1 - 1987/6
N2 - Radiotracers are widely used for the investigation of organ perfusion and function. One of the quantitative approaches to analyze radiotracer data is the calculation of the impulse response function, which is obtained by deconvolution analysis of the time-activity curves measured over the organ. Since exactness of the calculated impulse response function depends both on the counting statistics and on the deconvolution algorithm applied, computer simulated time-activity curves were used to test the least squares deconvolution program based on the matrix regularization algorithm. Criteria of clinical importance (error in the calculated organ function parameters) and criteria of mathematical importance (deconvolution and reconvolution error) were investigated. For three typical impulse response functions f(t), it was found that: 1. In cases of noncompartmental vascular-capillary f(t)'s, a high degree of smoothing is preferable during deconvolution, in this way the error becomes systematic but controllable. 2. Noncompartmental vascular-tubular f(t)'s are noise sensitive, but fortunately, noise in the data can be held to a minimum. 3. Compartmental f(t)'s need only a minimal degree of smoothing; their components can be identified in a second step using a multiexponential least squares fit.
AB - Radiotracers are widely used for the investigation of organ perfusion and function. One of the quantitative approaches to analyze radiotracer data is the calculation of the impulse response function, which is obtained by deconvolution analysis of the time-activity curves measured over the organ. Since exactness of the calculated impulse response function depends both on the counting statistics and on the deconvolution algorithm applied, computer simulated time-activity curves were used to test the least squares deconvolution program based on the matrix regularization algorithm. Criteria of clinical importance (error in the calculated organ function parameters) and criteria of mathematical importance (deconvolution and reconvolution error) were investigated. For three typical impulse response functions f(t), it was found that: 1. In cases of noncompartmental vascular-capillary f(t)'s, a high degree of smoothing is preferable during deconvolution, in this way the error becomes systematic but controllable. 2. Noncompartmental vascular-tubular f(t)'s are noise sensitive, but fortunately, noise in the data can be held to a minimum. 3. Compartmental f(t)'s need only a minimal degree of smoothing; their components can be identified in a second step using a multiexponential least squares fit.
KW - Compartmental and noncompartmental tracer kinetics
KW - Data noise
KW - Digital filtering
KW - Impulse response function
KW - Least squares deconvolution
KW - Matrix regularization
KW - Simulation
UR - http://www.scopus.com/inward/record.url?scp=0023254032&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0023254032&partnerID=8YFLogxK
U2 - 10.1007/BF00289028
DO - 10.1007/BF00289028
M3 - Article
C2 - 3622559
AN - SCOPUS:0023254032
VL - 13
SP - 148
EP - 154
JO - European Journal of Nuclear Medicine and Molecular Imaging
JF - European Journal of Nuclear Medicine and Molecular Imaging
SN - 1619-7070
IS - 3
ER -