Kinetic analysis with mathematical models has become increasingly important to quantify physiological parameters in computed tomography (CT), positron emission tomography (PET), and dynamic contrast-enhanced MRI (DCE-MRI). The modified Kety/Tofts model and the graphical (Patlak) model have been widely applied to DCE-MRI results in disease processes such as cancer, inflammation, and ischemia. In...

PURPOSE Increased microvascularization of the abdominal aortic aneurysm (AAA) vessel wall has been related to AAA progression and rupture. The aim of this study was to compare the suitability of three pharmacokinetic models to describe AAA vessel wall enhancement using dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI). MATERIALS AND METHODS Patients with AAA underwent DCE-MRI at ...

Currently, kinetic analyses using dynamic positron emission tomography (PET) experience very limited use despite their potential for improving quantitative accuracy in several clinical and research applications. For targeted volume applications, such as radiation treatment planning, treatment monitoring, and cerebral metabolic studies, the key to implementation of these methods is the determina...

C-acetate uptake in hepatocellular carcinoma (HCC) was reported and the modeling study has been conducted, in which the weighted nonlinear least squares (NLS) algorithm was used to estimate all of the parameters. However, the computational timecomplexity of NLS method is high and some estimates are not quite reliable. Due to the hepatic dual blood supply, the current developed fast algorithms c...

Parametric imaging of the cerebral metabolic rate for glucose (CMRGlc) using [(18)F]-fluoro deoxyglucose positron emission tomography is considered. Traditional imaging is hindered due to low signal-to-noise ratios at individual voxels. We propose to minimize the total variation of the tracer uptake rates while requiring good fit of traditional Patlak equations. This minimization guarantees spa...

We study the regularity and large-time behavior of a crowd species driven by chemo-tactic interactions. What distinguishes different is way they interact with rest crowd: collective motion chemical reactions which end up in coupled system parabolic Patlak-Keller-Segel equations. show that densities diffuse to zero provided interactions between satisfy certain sub-critical condition; latter inti...

L. Bokacheva, A. Huang, H. Rusinek, M. Kaur, Q. Chen, E. Kramer, E. Leonard, V. S. Lee Department of Radiology, New York University School of Medicine, New York, New York, United States, Department of Chemical Engineering, Columbia University, New York, New York, United States Introduction Dynamic gadolinium-enhanced MR images of the kidneys have been investigated by several groups for the noni...

 Objective(s): Improved brain uptake ratio (IBUR), employing 99mTc-ethyl cysteinate dimer (99mTc-ECD), is an automatic non-invasive method for quantitatively measuring regional cerebral blood flow (rCBF). This method was developed by the reconstruction of the theory and linear regression equation, based on rCBF measurement by H215O positron emission tomography. Clarification of differences in r...

Whole-body (WB) dynamic PET has recently demonstrated its potential in translating the quantitative benefits of parametric imaging to the clinic. Post-reconstruction standard Patlak (sPatlak) WB graphical analysis utilizes multi-bed multi-pass PET acquisition to produce quantitative WB images of the tracer influx rate K i as a complimentary metric to the semi-quantitative standardized uptake va...