3 papers
math.NA2025
Physics-Informed Learning of Microvascular Flow Models using Graph Neural Networks
Paolo Botta, Piermario Vitullo, Thomas Ventimiglia +2
The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological compl…
eess.IV2024
Quantification of Tracer Dilution Dynamics: An Exploration into the Mathematical Modeling of Medical Imaging
Ishmael N. Amartey, Andreas A. Linninger, Thomas Ventimiglia
Convolution and deconvolution are essential techniques in various fields, notably in medical imaging, where they play a crucial role in analyzing dynamic processes such as blood fl…
physics.med-ph2024
The Derivation and Reconstruction of the Gamma Variate Function for Tracer Dilution Curves
Ishmael N. Amartey, Andreas A. Linninger, Thomas Ventimiglia
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 effectiv…