Methods for calculating the stereotaxic coordinates of rat brain structures by pixel coordinates of the image...

There is a challenge to determine stereotaxic coordinates of a target structure with the accuracy, comparable to their size, when imaging the rat brain through cranial windows using confocal (multiphoton) microscopy in vivo. Some methods based on the estimation of the linear displacement from the intersections of the cerebral vessels are most often used for these purposes, but their accuracy can be improved.

A new method for converting pixel coordinates of points of interest on an image obtained in two-photon microscopy into stereotaxic ones using quadratic approximation with L₂ regularization has been developed. A comparative analysis of several methods for converting pixel coordinates into stereotaxic ones was carried out. The current study is aimed to select a method which minimizes the error of coordinate conversion within the a priori specified threshold value.

A method for determining the stereotaxic coordinates of each pixel in an image obtained by laser scanning in two-photon and / or confocal modes with an accuracy of several tens of microns is proposed.

It is shown that the error probability of the most common method based on calculating the points of interest coordinates as displacements relative to the selected vessels intersections can be reduced by using the quadratic approximation with L₂ regularization. Our proposed method allows us to improve the accuracy of determining the coordinates of points of interest on 10-30 µm.

The proposed approach will be useful in research where precise positioning of microelectrodes, sensors, etc. for implantation in specified brain structures or groups of neurons determined by functional mapping is required.