Article

A Dynamic Model of CT Scans for Quantifying Doubling Time of Ground Glass Opacities Using Histogram Analysis

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.

Keywords
Medical imaging; CT scan; logistic partial differential equation;

Journal
Mathematical Biosciences and Engineering: Volume 15, Issue 5

StatusPublished
Publication date31/10/2018
Date accepted by journal20/01/2018
URLhttp://hdl.handle.net/1893/26847
PublisherAmerican Institute of Mathematical Sciences
ISSN1547-1063