Anatomical atlas of the upper part of the human head for electroencephalography and bioimpedance applications Fernando S Moura1,2,* and Roberto G Beraldo1 Leonardo A Ferreira1 Samuli Siltanen2 1Engineering, modelling and Applied Social Sciences Center, Federal University of ABC, São Bernardo do Campo, São Paulo, Brazil 2Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland *Corresponding author. Email:
[email protected] Abstract Volume conductor problems in cerebral electrophysiology and bioimpedance do not have analytical solutions for nontrivial geometries and require a 3D model of the head and its electrical properties for solving the associated PDEs numer- ically. Ideally, the model should be made with patient-specific information. In clinical practice, this is not always the case and an average head model is of- ten used. Also, the electrical properties of the tissues might not be completely known due to natural variability. The objective of this work is to develop a 4D (3D+T) statistical anatomical atlas of the electrical properties of the upper part of the human head for cerebral electrophysiology and bioimpedance applications. The atlas is an important tool for in silico studies on cerebral circulation and electrophysiology that require statistically consistent data, e.g., machine learning, sensitivity analyses, and as a benchmark to test inverse problem solvers. The atlas was constructed based on MRI images of human individuals and comprises the electrical properties of the main internal structures and can be adjusted for specific electrical frequencies. The proposed atlas also comprises a time-varying model of arXiv:2108.08587v1 [physics.med-ph] 19 Aug 2021 arterial brain circulation, based on the solution of the Navier-Stokes equation in the main arteries and their vascular territories.