A diffusion model of 18F-FDOPA in the diagnosis of Parkinson's disease and its numerical simulation

A diffusion model of 18F-FDOPA in the diagnosis of Parkinson’s disease and its numerical simulation Printaporn Sanguansuttigula, Teerapol Saleewonga,b,∗, Kitiwat Khamwanc, Saknan Bongsebandhu-phubhakdid a Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140 Thailand b Theoretical and Computational Science Center (TaCS), Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140 Thailand c Department of Radiology, Faculty of Medicine, Chulalongkorn University, Bangkok 10330 Thailand d Department of Physiology, Faculty of Medicine, Chulalongkorn University, Bangkok 10330 Thailand

[1]  Haniza Yazid,et al.  Performance analysis of image thresholding: Otsu technique , 2018 .

[2]  Valeria Simoncini,et al.  Computational Methods for Linear Matrix Equations , 2016, SIAM Rev..

[3]  H. H. Rachford,et al.  The Numerical Solution of Parabolic and Elliptic Differential Equations , 1955 .

[4]  Stefano Fanti,et al.  18F-DOPA PET and PET/CT , 2007, Journal of Nuclear Medicine.

[5]  A. Shalash,et al.  Non-Motor Symptoms as Predictors of Quality of Life in Egyptian Patients With Parkinson’s Disease: A Cross-Sectional Study Using a Culturally Adapted 39-Item Parkinson’s Disease Questionnaire , 2018, Front. Neurol..

[6]  William C. Davidon,et al.  Variable Metric Method for Minimization , 1959, SIAM J. Optim..

[7]  Reduced striatal volumes in Parkinson’s disease: a magnetic resonance imaging study , 2012, Translational Neurodegeneration.

[8]  K. Leenders,et al.  Putamen FDOPA uptake and its relationship tot cognitive functioning in PD , 2006, Journal of the Neurological Sciences.

[9]  P. Pollak,et al.  The relation of putamen and caudate nucleus 18F-Dopa uptake to motor and cognitive performances in Parkinson’s disease , 1999, Journal of the Neurological Sciences.

[10]  Robert Hooke,et al.  `` Direct Search'' Solution of Numerical and Statistical Problems , 1961, JACM.

[11]  C. Patlak,et al.  Diffusion of Radiotracers in Normal and Ischemic Brain Slices , 1998, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[12]  Karl J. Friston,et al.  Frontal, midbrain and striatal dopaminergic function in early and advanced Parkinson's disease A 3D [(18)F]dopa-PET study. , 1999, Brain : a journal of neurology.

[13]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[14]  A. Gjedde,et al.  On the accuracy of an [18F]FDOPA compartmental model: evidence for vesicular storage of [18F]fluorodopamine in vivo , 1997, Journal of Neuroscience Methods.

[15]  J. Crank,et al.  A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type , 1947, Mathematical Proceedings of the Cambridge Philosophical Society.

[16]  T. Videen,et al.  [18F]FDOPA PET and clinical features in parkinsonism due to manganism , 2005, Movement disorders : official journal of the Movement Disorder Society.

[17]  Junchao Tong,et al.  Preferential loss of serotonin markers in caudate versus putamen in Parkinson's disease. , 2007, Brain : a journal of neurology.

[18]  Martin J. McKeown,et al.  Morphological alterations in the caudate, putamen, pallidum, and thalamus in Parkinson's disease , 2015, Front. Neurosci..

[19]  Alternating direction implicit finite difference methods for the heat equation on general domains in two and three dimensions , 2016 .

[20]  S Fook-Chong,et al.  Case control study of diffusion tensor imaging in Parkinson’s disease , 2007, Journal of Neurology, Neurosurgery, and Psychiatry.

[21]  Cem Direkoglu,et al.  Review of MRI-based Brain Tumor Image Segmentation Using Deep Learning Methods , 2016 .