Bounds for the linear combinations of statistical tensors

A method of estimating the physical bounds for the linear combinations of components of statistical tensors is presented. Numerical values of the hounds for tensor combinations appearing in the additive quark model predictions for resonance production in two-body processes are calculated

Computed tomography morphometric analysis of the greater palatine canal : a study of 1,500 head CT scans and a systematic review of literature

We have performed a detailed morphometric analysis of the length and anatomic routes of the greater palatine canal (GPC) and a systematic review of the literature on the anatomy of the GPC with the aim of informing dentists, maxillofacial surgeons, otorhinolaryngologists and other specialists performing procedures in the area of the GPC. In total, we analysed 1,500 archived adult head computed tomography scans to determine the length of the GPC and of the routes on both sides, as well as the dimensions and opening directions of the greater palatine foramen. The systematic review of the literature was performed according to PRISMA guidelines. The study group comprised 783 females (52.2 %) and 717 males with a mean (± standard deviation) age of 42.1 ± 16.9 years; there was significant difference in age between sexes (p = 0.33). The average length of the GPC was 31.1 ± 2.9 (range 15–44) mm. The GPC travelled three different paths in the sagittal plane and four different paths in the coronal plane. Most often it descended from the pterygopalatine fossa inferiorly before changing to an anterior-inferior direction (68.4 %; sagittal plane) and inferior-laterally before changing to an inferior-medial direction (40.7 %; (coronal plane). In total, the GPF had four different opening directions: inferior-anterior-medial (82.1 %), inferior-anterior-lateral (4.0 %), anterior (7.6 %), and vertical (5.3 %). Twenty-five studies were included in the systematic review. In conclusion, the information presented here provides clinicians with the anatomical knowledge necessary to minimize the risk of complications when performing procedures involving infiltration of the GPC

What we can and what we cannot see with extracellular multielectrodes.

Extracellular recording is an accessible technique used in animals and humans to study the brain physiology and pathology. As the number of recording channels and their density grows it is natural to ask how much improvement the additional channels bring in and how we can optimally use the new capabilities for monitoring the brain. Here we show that for any given distribution of electrodes we can establish exactly what information about current sources in the brain can be recovered and what information is strictly unobservable. We demonstrate this in the general setting of previously proposed kernel Current Source Density method and illustrate it with simplified examples as well as using evoked potentials from the barrel cortex obtained with a Neuropixels probe and with compatible model data. We show that with conceptual separation of the estimation space from experimental setup one can recover sources not accessible to standard methods