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

  • Received: 09 October 2017 Revised: 20 January 2018 Published: 01 October 2018
  • MSC : Primary: 92C50, 92C55; Secondary: 35K58

  • 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.

    Citation: 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[J]. Mathematical Biosciences and Engineering, 2018, 15(5): 1203-1224. doi: 10.3934/mbe.2018055

    Related Papers:

  • 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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