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Calibrating of concentration of the signal from pet-scan through a 3k sokoloff model

Abstract:

This document describes the use of nonlinear least squares and augmented Lagrangian methods to illustrate their use in calibrating the parameters of the Sokoloff 3K model to find the optimal concentration of the signal from a PET-Scan over time. As well as the description of numerical methods for EDOs such as the explicit Euler method, RK2 and RK4 to approximate the solutions of the system from the 3K Sokoloff model and the solutions of the adjoint problem associated with the augmented Lagrangian method.

Año de publicación:

2022

Keywords:

    Fuente:

    googlegoogle

    Tipo de documento:

    Other

    Estado:

    Acceso abierto

    Áreas de conocimiento:

    • Laboratorio médico

    Áreas temáticas:

    • Fisiología humana

    Contribuidores:

    Alex Eduardo Pozo ValdiviezoAlex Eduardo Pozo Valdiviezo