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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
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Keywords: Medical imaging
CT scan
logistic partial differential equation
Issue Date: 1-Oct-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.
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:

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