A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis
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 cro...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018055 |
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| author | József Z. Farkas Gary T. Smith Glenn F. Webb |
| author_facet | József Z. Farkas Gary T. Smith Glenn F. Webb |
| author_sort | József Z. Farkas |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4cdaede1654549648fd24b496bfebc4b |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4cdaede1654549648fd24b496bfebc4b2025-01-24T02:41:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-09-011551203122410.3934/mbe.2018055A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysisJózsef Z. Farkas0Gary T. Smith1Glenn F. Webb2Division of Computing Science and Mathematics, University of Stirling, Stirling, FK9 4LA, UKDepartment of Medical Imaging, Department of Veterans Affairs Hospital, Tennessee Valley Healthcare System, Nashville, Tennessee, 37212, USADepartment of Mathematics, Vanderbilt University, Nashville, TN 37240, USAWe 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.https://www.aimspress.com/article/doi/10.3934/mbe.2018055medical imagingct scanlogistic partial differential equation |
| spellingShingle | József Z. Farkas Gary T. Smith Glenn F. Webb A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis Mathematical Biosciences and Engineering medical imaging ct scan logistic partial differential equation |
| title | A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis |
| title_full | A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis |
| title_fullStr | A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis |
| title_full_unstemmed | A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis |
| title_short | A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis |
| title_sort | dynamic model of ct scans for quantifying doubling time of ground glass opacities using histogram analysis |
| topic | medical imaging ct scan logistic partial differential equation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018055 |
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