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http://hdl.handle.net/1893/26847| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | A Dynamic Model of CT Scans for Quantifying Doubling Time of Ground Glass Opacities Using Histogram Analysis |
| Author(s): | Farkas, Jozsef Zoltan Smith, Gary T Webb, Glenn F |
| Contact Email: | jozsef.farkas@stir.ac.uk |
| Keywords: | Medical imaging CT scan logistic partial differential equation |
| Issue Date: | 1-Oct-2018 |
| Date Deposited: | 5-Mar-2018 |
| Citation: | Farkas JZ, Smith GT & Webb GF (2018) A Dynamic Model of CT Scans for Quantifying Doubling Time of Ground Glass Opacities Using Histogram Analysis. Mathematical Biosciences and Engineering, 15 (5), pp. 1203-1244. https://doi.org/10.3934/mbe.2018055 |
| Abstract: | 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. |
| DOI Link: | 10.3934/mbe.2018055 |
| Rights: | This item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematical Biosciences and Engineering following peer review. The definitive publisher-authenticated version 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 & Engineering, 2018, 15 (5) : 1203-1224. doi: 10.3934/mbe.2018055 is available online at: https://doi.org/10.3934/mbe.2018055 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| CT-23Jan2018.pdf | Fulltext - Accepted Version | 6.55 MB | Adobe PDF | View/Open |
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