Singular value decomposition of microbubbles echoes for skull aberration corrections in ultrasound localization microscopy.

Non invasive imaging of the brain vascular system is key for the understanding and monitoring of cerebral small vessel disease and neurological disorders. Ultrasound Localization Microscopy (ULM) is emerging as a powerful modality for the cerebral angiographic and hemodynamic imaging up to the microscopic scale in preclinical and clinical settings. However, the skull bone induces aberrations during ultrasonic propagation leading to distortions and shadowed regions. Here, we introduce an aberration correction method for ULM data able to extract the phase aberration from the singular value decomposition (SVD) of signals backscattered by microbubbles. Without any a priori knowledge, SVD processing extracts several correction time delays laws associated with valuable for studying microvasculature and its alterations, which are key indicators of small vessel diseases and neurodegenerative disorders. [4], [5], [6], [7]. .