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

Jozsef Z. Farkas; Gary T. Smith; Glenn F. Webb

doi:10.3934/mbe.2018055

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

Jozsef Z. Farkas, Gary T. Smith, Glenn F. Webb

Departament de Matemàtiques

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3 Citacions (Web of Science)

Resum

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.

Idioma original	Anglès
Pàgines (de-a)	1203-1224
Nombre de pàgines	22
Revista	Mathematical Biosciences and Engineering
Volum	15
Número	5
DOIs	https://doi.org/10.3934/mbe.2018055
Estat de la publicació	Publicada - d’oct. 2018

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10.3934/mbe.2018055

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title = "A Dynamic Model of Ct Scans for Quantifying Doubling Time of Ground Glass Opacities Using Histogram Analysis",

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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AB - 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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KW - Logistic partial differential equation

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

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