The Derivation and Reconstruction of the Gamma Variate Function for Tracer Dilution Curves

2024/02/25 by Amartey, Ishmael N., Linninger, Andreas A., Ventimiglia, Thomas
#Applications (stat.AP) #FOS: Computer and information sciences #FOS: Physical sciences #Medical Physics (physics.med-ph)

paper · doi:10.48550/arxiv.2402.16007

Abstract

Cerebral blood flow and perfusion can be estimated using tracer dilution experiments. Accurate estimation of blood flow parameters is a crucial part of medical imaging for effective diagnosis and treatment. This study explores two themes: (i) the derivation of the gamma variate function as a response tracer infusion and (ii) the estimation of impulse and residue functions from tracer dilution curves parameters via the least squares method.

Related

• Quantification of Tracer Dilution Dynamics: An Exploration into the Mathematical Modeling of Medical Imaging
• Perfusion Imaging: A Data Assimilation Approach
• Determination of unscaled blood input for human dynamic FDG brain PET
• Perfusion Linearity and Its Applications
• Estimating kinetic parameters from dynamic contrast-enhanced t1-weighted MRI of a diffusable tracer: Standardized quantities and symbols