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
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.
Medical imaging; CT scan; logistic partial differential equation;
Mathematical Biosciences and Engineering: Volume 15, Issue 5
|Date accepted by journal||20/01/2018|
|Publisher||American Institute of Mathematical Sciences|