A DYNAMIC MODEL OF CT SCANS FOR QUANTIFYING DOUBLING TIME OF GROUND GLASS OPACITIES USING HISTOGRAM ANALYSIS

被引：3
作者：
Farkas, Jozsef Z. [1 ]
Smith, Gary T. [2 ]
Webb, Glenn F. [3 ]
机构：
[1] Univ Stirling, Div Comp Sci & Math, Stirling FK9 4LA, Scotland
[2] Tennessee Valley Healthcare Syst, Dept Vet Affairs Hosp, Dept Med Imaging, Nashville, TN 37212 USA
[3] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2018年 / 15卷 / 05期
关键词：
Medical imaging; CT scan; logistic partial differential equation; BRAIN-TUMORS; GROWTH; EVOLUTION; MICROENVIRONMENT; EQUATIONS; THERAPY; NODULES;
D O I：
10.3934/mbe.2018055
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We quantify a recent five-category CT histogram based classification of ground glass opacities using a dynamic mathematical model for the spatial-temporal evolution of malignant nodules. Our mathematical model takes the form of a spatially structured partial differential equation with a logistic crowding term. We present the results of extensive simulations and validate our model using patient data obtained from clinical CT images from patients with benign and malignant lesions.
引用
收藏
页码：1203 / 1224
页数：22
相关论文
共 27 条
[1]   Reduced Lung-Cancer Mortality with Low-Dose Computed Tomographic Screening [J].
Aberle, Denise R. ;
Adams, Amanda M. ;
Berg, Christine D. ;
Black, William C. ;
Clapp, Jonathan D. ;
Fagerstrom, Richard M. ;
Gareen, Ilana F. ;
Gatsonis, Constantine ;
Marcus, Pamela M. ;
Sicks, JoRean D. .
NEW ENGLAND JOURNAL OF MEDICINE, 2011, 365 (05) :395-409
[2]   On the mechanics of a growing tumor [J].
Ambrosi, D ;
Mollica, F .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (12) :1297-1316
[3]  
Ammari Habib., 2009, Mathematical modeling in Biomedical Imaging I: Electrical and Ultrasound Topographies, Anomaly Detection, And Brain Imaging
[4]   Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment [J].
Anderson, Alexander R. A. ;
Weaver, Alissa M. ;
Cummings, Peter T. ;
Quaranta, Vito .
CELL, 2006, 127 (05) :905-915
[5]  
[Anonymous], 2008, Computed tomography: from photonstatistics to modern cone-beam CT
[6]   The tumor microenvironment at a glance [J].
Balkwill, Frances R. ;
Capasso, Melania ;
Hagemann, Thorsten .
JOURNAL OF CELL SCIENCE, 2012, 125 (23) :5591-5596
[7]   POSITIVE STEADY STATES OF EVOLUTION EQUATIONS WITH FINITE DIMENSIONAL NONLINEARITIES [J].
Calsina, Angel ;
Farkas, Jozsef Z. .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (02) :1406-1426
[8]   DIFFUSIVE LOGISTIC EQUATIONS WITH INDEFINITE WEIGHTS - POPULATION-MODELS IN DISRUPTED ENVIRONMENTS .2. [J].
CANTRELL, RS ;
COSNER, C .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (04) :1043-1064
[9]   Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation [J].
Clatz, O ;
Sermesant, M ;
Bondiau, PY ;
Delingette, H ;
Warfield, SK ;
Malandain, G ;
Ayache, N .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2005, 24 (10) :1334-1346
[10]  
Cornelis F, 2013, Diagn Interv Imaging, V94, P593, DOI 10.1016/j.diii.2013.03.001
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