Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET
Dynamic PET, in contrast to static PET, can identify temporal variations in the radiotracer concentration. Mathematical modeling of the tissue of interest in dynamic PET can be simplified using compartment models as a linear system where the time activity curve of a specific tissue is the convolutio...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/2011/234679 |
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| _version_ | 1849467731639795712 |
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| author | Yafang Cheng İmam Şamil Yetik |
| author_facet | Yafang Cheng İmam Şamil Yetik |
| author_sort | Yafang Cheng |
| collection | DOAJ |
| description | Dynamic PET, in contrast to static PET, can identify temporal variations in the radiotracer concentration. Mathematical modeling of the tissue of interest in dynamic PET can be simplified using compartment models as a linear system where the time activity curve of a specific tissue is the convolution of the tracer concentration in the plasma and the impulse response of the tissue containing kinetic parameters. Since the arterial sampling of blood to acquire the value of tracer concentration is invasive, blind methods to estimate both blood input function and kinetic parameters have recently drawn attention. Several methods have been developed, but the effect of accuracy of the estimated blood function on the estimation of the kinetic parameters is not studied. In this paper, we present a method to compute the error in the kinetic parameter estimates caused by the error in the blood input function. Computer simulations show that analytical expressions we derive are sufficiently close to results obtained from numerical methods. Our findings are important to observe the effect of the blood function on kinetic parameter estimation, but also useful to evaluate various blind methods and observe the dependence of kinetic parameter estimates to certain parts of the blood function. |
| format | Article |
| id | doaj-art-e066d58dac044d33b2c1a2b556e3019c |
| institution | Kabale University |
| issn | 1687-4188 1687-4196 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-e066d58dac044d33b2c1a2b556e3019c2025-08-20T03:26:05ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962011-01-01201110.1155/2011/234679234679Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PETYafang Cheng0İmam Şamil Yetik1Department of Electrical Engineering, Medical Imaging Research Center, Illinois Institute of Technology, Chicago, IL 60616-3793, USADepartment of Electrical Engineering, Medical Imaging Research Center, Illinois Institute of Technology, Chicago, IL 60616-3793, USADynamic PET, in contrast to static PET, can identify temporal variations in the radiotracer concentration. Mathematical modeling of the tissue of interest in dynamic PET can be simplified using compartment models as a linear system where the time activity curve of a specific tissue is the convolution of the tracer concentration in the plasma and the impulse response of the tissue containing kinetic parameters. Since the arterial sampling of blood to acquire the value of tracer concentration is invasive, blind methods to estimate both blood input function and kinetic parameters have recently drawn attention. Several methods have been developed, but the effect of accuracy of the estimated blood function on the estimation of the kinetic parameters is not studied. In this paper, we present a method to compute the error in the kinetic parameter estimates caused by the error in the blood input function. Computer simulations show that analytical expressions we derive are sufficiently close to results obtained from numerical methods. Our findings are important to observe the effect of the blood function on kinetic parameter estimation, but also useful to evaluate various blind methods and observe the dependence of kinetic parameter estimates to certain parts of the blood function.http://dx.doi.org/10.1155/2011/234679 |
| spellingShingle | Yafang Cheng İmam Şamil Yetik Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET International Journal of Biomedical Imaging |
| title | Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET |
| title_full | Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET |
| title_fullStr | Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET |
| title_full_unstemmed | Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET |
| title_short | Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET |
| title_sort | propagation of blood function errors to the estimates of kinetic parameters with dynamic pet |
| url | http://dx.doi.org/10.1155/2011/234679 |
| work_keys_str_mv | AT yafangcheng propagationofbloodfunctionerrorstotheestimatesofkineticparameterswithdynamicpet AT imamsamilyetik propagationofbloodfunctionerrorstotheestimatesofkineticparameterswithdynamicpet |