3 papers
math.NA2026
Multiharmonic algorithms for contrast-enhanced ultrasound
Vanja NikoliÄ, Teresa Rauscher
Harmonic generation plays a crucial role in contrast-enhanced ultrasound, both for imaging and therapeutic applications. However, accurately capturing these nonlinear effects is co…
math.DS2025
Morse decomposition for semi-dynamical systems with an application to systems of state-dependent delay differential equations
István Balázs, Ãbel Garab, Teresa Rauscher
Understanding the structure of the global attractor is crucial in the field of dynamical systems, where Morse decompositions provide a powerful tool by partitioning the attractor i…
math.AP2024
Mathematical models for nonlinear ultrasound contrast imaging with microbubbles
Vanja NikoliÄ, Teresa Rauscher
Ultrasound contrast imaging is a specialized imaging technique that applies microbubble contrast agents to traditional medical sonography, providing real-time visualization of bloo…