Time-efficient Fourier domain evaluation of pharmacokinetic model in dynamic contrast-enhanced magnetic resonance imaging

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00490728" target="_blank" >RIV/67985556:_____/19:00490728 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68081731:_____/19:00490728

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-981-10-9035-6_143" target="_blank" >http://dx.doi.org/10.1007/978-981-10-9035-6_143</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-981-10-9035-6_143" target="_blank" >10.1007/978-981-10-9035-6_143</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Time-efficient Fourier domain evaluation of pharmacokinetic model in dynamic contrast-enhanced magnetic resonance imaging

Popis výsledku v původním jazyce

Dynamic contrast-enhanced magnetic resonance imaging obtains information about tissue perfusion and permeability. Following the administration of a contrast agent, concentration-time curves measured in each voxel are fitted by a pharmacokinetic model formulated as a time-domain convolution of an arterial input function (AIF) and an impulse residue function (IRF). Since the measurement window contains hundreds of time samples, the discrete convolution is demanding, even when it is performed via discrete Fourier transform (DFT). Additionally, its discretization causes convergence complications in the curve fitting and it is not applicable to functions without a closed-form expression in the time domain, e.g. tissue homogeneity model IRF. Both issues can be solved by formulating the functions in a closed form in the Fourier domain. In the Fourier domain, the model transforms to multiplication of IRF and AIF, followed by the inverse DFT. To avoid time-domain aliasing, the number of samples in the Fourier domain must be higher than the sum of supports of the functions in the time domain. If the functions are slowly decaying exponentials, the support is theoretically infinite, which dramatically reduces the computational performance. In this contribution, we propose a modification of IRF in the Fourier domain to consider the measurement window. Our solution reduces the required number of samples to three times the measurement window compared to dozens needed without the modification and reduces the number of DFTs. This provides faster evaluation of the pharmacokinetic model and its derivatives for each voxel in each iteration of the curve fitting.

Název v anglickém jazyce

Time-efficient Fourier domain evaluation of pharmacokinetic model in dynamic contrast-enhanced magnetic resonance imaging

Popis výsledku anglicky

Dynamic contrast-enhanced magnetic resonance imaging obtains information about tissue perfusion and permeability. Following the administration of a contrast agent, concentration-time curves measured in each voxel are fitted by a pharmacokinetic model formulated as a time-domain convolution of an arterial input function (AIF) and an impulse residue function (IRF). Since the measurement window contains hundreds of time samples, the discrete convolution is demanding, even when it is performed via discrete Fourier transform (DFT). Additionally, its discretization causes convergence complications in the curve fitting and it is not applicable to functions without a closed-form expression in the time domain, e.g. tissue homogeneity model IRF. Both issues can be solved by formulating the functions in a closed form in the Fourier domain. In the Fourier domain, the model transforms to multiplication of IRF and AIF, followed by the inverse DFT. To avoid time-domain aliasing, the number of samples in the Fourier domain must be higher than the sum of supports of the functions in the time domain. If the functions are slowly decaying exponentials, the support is theoretically infinite, which dramatically reduces the computational performance. In this contribution, we propose a modification of IRF in the Fourier domain to consider the measurement window. Our solution reduces the required number of samples to three times the measurement window compared to dozens needed without the modification and reduces the number of DFTs. This provides faster evaluation of the pharmacokinetic model and its derivatives for each voxel in each iteration of the curve fitting.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/GA16-13830S" target="_blank" >GA16-13830S: Perfuzní zobrazování v magnetické rezonanci pomocí komprimovaného snímání</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

IFMBE Proceedings, Volume 68, Issue 1

ISBN

978-981-10-9034-9

ISSN

1680-0737

e-ISSN

—

Počet stran výsledku

5

Strana od-do

777-781

Název nakladatele

Springer

Místo vydání

Singapore

Místo konání akce

Praha

Datum konání akce

3. 6. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000450908300143