Calculation of actual astigmatism correction and nomographs for corneal laser treatment
A method for to calculation of actual astigmatism correction and nomographs for corneal laser treatment includes performing a post-operative measurement of the cornea of a patient to determine actual astigmatism coefficients. The actual astigmatism coefficients are compared against the expected astigmatism coefficients to generate a nomograph value or a nomograph curve over a sample population. The nomograph is used to calibrate subsequent laser treatments for improved accuracy of clinical results.
1. A method for calculating nomographs for corneal laser treatments, the method comprising:
calculating an expected astigmatism coefficient for a patient subject to a first corneal laser treatment as a first difference between a pre-operative astigmatism coefficient and a correction astigmatism coefficient, wherein the pre-operative astigmatism coefficient represents a first measurement of a cornea of the patient before the first corneal laser treatment, and the correction astigmatism coefficient represents changes to the cornea planned for the first corneal laser treatment;
receiving an indication that the first corneal laser treatment on the cornea of the patient was performed according to the correction astigmatism coefficient;
receiving an actual astigmatism coefficient of the cornea of the patient, wherein the actual astigmatism coefficient represents a second measurement of the cornea after a time period after the first corneal laser treatment; and
calculating a nomograph value based on a second difference between the expected astigmatism coefficient and the actual astigmatism coefficient; and
using the nomograph value to calibrate the correction astigmatism coefficient for a subsequent corneal laser treatment on another patient, wherein the second difference for the subsequent corneal laser treatment on the other patient is smaller than the second difference for the first corneal laser treatment;
wherein the nomograph value is calculated based on a sample population of patients, wherein the pre-operative astigmatism coefficient, the correction astigmatism coefficient, the expected astigmatism coefficient, the actual astigmatism coefficient, and the second difference are determined for each patient in the sample population, and wherein the sample population is divided into bins based on the actual astigmatism coefficients and the expected astigmatism coefficients.
2. The method of claim 1 , wherein the nomograph value is specific to a laser system for performing the corneal laser treatment and the subsequent corneal laser treatment.
3. The method of claim 1 , wherein the nomograph value is specific to a surgeon performing the corneal laser treatment and the subsequent corneal laser treatment.
4. The method of claim 1 , wherein the nomograph value is specific to a type of the corneal laser treatment and the subsequent corneal laser treatment.
5. The method of claim 1 , wherein the nomograph value is calculated as an empirical function of the actual astigmatism coefficient versus the expected astigmatism coefficient for the sample population.
6. The method of claim 5 , wherein a data point of the empirical function is determined using a median value of the actual astigmatism coefficient for each bin.
7. The method of claim 6 , wherein the empirical function is calculated using curve fitting of a plurality of the data points.
8. The method of claim 1 , wherein the pre-operative astigmatism coefficient, the correction astigmatism coefficient, the expected astigmatism coefficient, the actual astigmatism coefficient are a Zernike coefficient selected from one of: Z 3 , Z 5 , Z 11 , and Z 13 .
9. The method of claim 1 , wherein the time period is three months.
10. An astigmatism nomograph system, the system comprising:
a processor having access to memory media storing instructions executable by the processor to:
calculate an expected astigmatism coefficient for a patient subject to a first corneal laser treatment as a first difference between a pre-operative astigmatism coefficient and a correction astigmatism coefficient, wherein the pre-operative astigmatism coefficient represents a first measurement of a cornea of the patient before the first corneal laser treatment, and the correction astigmatism coefficient represents changes to the cornea planned for the first corneal laser treatment;
receive an indication that the first corneal laser treatment on the cornea of the patient was performed according to the correction astigmatism coefficient;
receive an actual astigmatism coefficient of the cornea of the patient, wherein the actual astigmatism coefficient represents a second measurement of the cornea after a time period after the first corneal laser treatment; and
calculate a nomograph value based on a second difference between the expected corneal astigmatism coefficient and the actual astigmatism coefficient; and
use the nomograph value to calibrate the correction astigmatism coefficient for a subsequent corneal laser treatment on another patient, wherein the second difference for the subsequent corneal laser treatment on the other patient is smaller than the second difference for the first corneal laser treatment;
wherein the nomograph value is calculated based on a sample population of patients, wherein the pre-operative astigmatism coefficient, the correction astigmatism coefficient, the expected astigmatism coefficient, the actual astigmatism coefficient, and the second difference are determined for each patient in the sample population, and wherein the sample population is divided into bins based on the actual astigmatism coefficients and the expected astigmatism coefficients.
11. The astigmatism nomograph system of claim 10 , wherein the nomograph value is specific to a laser system for performing the corneal laser treatment and the subsequent corneal laser treatment.
12. The astigmatism nomograph system of claim 10 , wherein the nomograph value is specific to a surgeon performing the corneal laser treatment and the subsequent corneal laser treatment.
13. The astigmatism nomograph system of claim 10 , wherein the nomograph value is specific to a type of the corneal laser treatment and the subsequent corneal laser treatment.
14. The astigmatism nomograph system of claim 10 , wherein the nomograph value is calculated as an empirical function of the actual astigmatism coefficient versus the expected astigmatism coefficient for the sample population.
15. The astigmatism nomograph system of claim 14 , wherein a data point of the empirical function is determined using a median value of the actual astigmatism coefficient for each bin.
16. The astigmatism nomograph system of claim 15 , wherein the empirical function is calculated using curve fitting of a plurality of the data points.
17. The astigmatism nomograph system of claim 10 , wherein the pre-operative astigmatism coefficient, the correction astigmatism coefficient, the expected astigmatism coefficient, the actual astigmatism coefficient are a Zernike coefficient selected from one of: Z 3 , Z 5 , Z 11 , and Z 13 .
18. The astigmatism nomograph system of claim 10 , wherein the time period is three months.