A dynamic model of ct scans for quantifying doubling time of ground glass opacities using histogram analysis

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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.

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Farkas, J. Z., Smith, G. T., & Webb, G. F. (2018). A dynamic model of ct scans for quantifying doubling time of ground glass opacities using histogram analysis. Mathematical Biosciences and Engineering, 15(5), 1203–1224. https://doi.org/10.3934/mbe.2018055

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