### 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 |

### Fingerprint

### 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

*European Journal Of Nuclear Medicine*,

*13*(3), 148-154. https://doi.org/10.1007/BF00289028

**Effects of statistical noise and digital filtering on the parameters calculated from the impulse response function.** / Szabo, Zsolt; Nyitrai, Lajos; Sondhaus, Charles.

Research output: Contribution to journal › Article

*European Journal Of Nuclear Medicine*, vol. 13, no. 3, pp. 148-154. https://doi.org/10.1007/BF00289028

}

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 -