US 12,144,630 B2
Determination of optimal Laplacian estimates and optimal inter-ring distances for concentric ring electrodes
Oleksandr Makeyev, Tsaile, AZ (US)
Assigned to DINÉ COLLEGE, Tsaile, AZ (US)
Filed by Diné College, Tsaile, AZ (US)
Filed on May 20, 2019, as Appl. No. 16/417,422.
Prior Publication US 2020/0367781 A1, Nov. 26, 2020
Int. Cl. A61B 5/291 (2021.01); A61B 5/00 (2006.01); A61N 1/04 (2006.01); A61N 1/05 (2006.01)
CPC A61B 5/291 (2021.01) [A61B 5/4094 (2013.01); A61N 1/04 (2013.01); A61N 1/0531 (2013.01); A61B 2562/125 (2013.01); Y10T 29/49002 (2015.01)] 35 Claims
OG exemplary drawing
 
14. A non-transitory computer-readable storage medium storing instructions, that upon execution on a computer system, cause the computer system to perform a method for determining values for a set of radii of a plurality of rings of a concentric ring electrode (CRE), the plurality of rings comprising an inner ring and an outer ring, the method comprising:
receiving information specifying a quantity of rings in the plurality of rings;
estimating, based on canceling at least a first truncation term of a series expansion of an electrostatic potential, a dependence of a functional of the electrostatic potential on (i) a total radius of the CRE, (ii) the set of radii, and (iii) a set of potential differences, wherein a respective radius and a respective potential difference are associated with a respective ring of the plurality of rings;
determining a remaining truncation term of the series expansion as a function of the total radius and the set of radii, the remaining truncation term having an order higher than twice the quantity of rings; and
minimizing in absolute value the remaining truncation term as the function of the set of radii to determine optimum values for the set of radii in terms of the total radius, wherein minimizing in absolute value the remaining truncation term comprises minimizing, within a percentile value, an absolute value of the remaining truncation term having the lowest order, based on the function of the set of radii.