|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
logistic partial differential equation
|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.|
|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|
|CT-23Jan2018.pdf||Fulltext - Accepted Version||6.55 MB||Adobe PDF||View/Open|
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