The presented data show the dependence of increase in corneal stiffness on illumination intensity while keeping a constant irradiation dose of 5.4 J/cm
2. According to
Figure 4, an equivalent stiffness increase can be achieved up to an illumination intensity of approximately 40 to 45 mW/cm
2, corresponding to illumination times of approximately 2 minutes. For higher intensities ranging from 50 mW/cm
2 up to 90 mW/cm
2, no statistically significant stiffness increase could be achieved. Of all the treatment groups that were significantly different from the control group, no significant difference among each other was found in the post hoc analysis. Therefore, we don't claim the highest value occurring at 34 mW/cm
2 to be an optimum.
The reported stiffness increase for the lower intensities (3–45 mW/cm
2) of a factor of 2.2 is similar to previously published data by Wollensak and colleagues, who measured a 1.8-fold increase.
5 Other studies investigating the stiffness increase according to the standard protocol with 3 mW/cm
2 used different measurement techniques like supersonic shear imaging,
18 ultrasound,
19 or comparing corneal geometry.
20 They found stiffness increases of 4.6, 1.04, and 1.6, respectively. The only available study that investigated higher intensity while the irradiation dose is kept constant found an equivalence in stiffness increase due to CXL between the standard protocol (3 mW/cm
2 for 30 minutes) and a 10 mW/cm
2 for 9 minutes,
16 supporting the finding of this study for the low intensities. The absolute stiffness increase in the mentioned study was only by a factor of 1.3. The difference compared with this study might be caused by a different protocol used for the biomechanical measurements.
The most interesting finding of this study is the failure of the Bunsen-Roscoe reciprocity law for short illumination time and high intensities. The Bunsen-Roscoe law describes the photo-response of a material to a certain energy dose. It concludes that all photochemical reaction mechanisms depend only on the total absorbed energy and are statistically independent of the two factors that determine total absorbed energy—that is, radiant intensity or irradiance, and exposure time. A review of the validity of the Bunsen-Roscoe law in biology and medicine shows that approximately 95% and over 80%, respectively, of the evaluated reactions follow the law of reciprocity.
17 The failure of the law observed in this study is probably due to the relative complex photochemistry that is not fully understood at this time. As a consequence, the corneal CXL-treatment has an upper limit for the applied illumination intensity or lower limit for the illumination time. From the current data, this limit seems to be at approximately 40 to 45 mW/cm
2 corresponding to an illumination time of approximately 2 minutes. In order to decrease the illumination time further and still have the same effect, maybe not only the intensity has to be increased, but also the total energy dose. For higher energy doses in corneal cross-linking, the outcome is reported controversially. In a study by Lanchares et al.—who doubled the energy dose to 10.6 J/cm
2 by applying 3 mW/cm
2 for 60 minutes—no stiffening effect at all was achieved.
21 Thus, it seems that the induced cross-links within the first 30 minutes are somehow destroyed again by the UV light in the additional 30 minutes of illumination. However, Xiu et al. increased the dose by applying 4.2 mW/cm
2 for 30 minutes and measured an increase in stiffness of 1.45.
22
In conclusion, the performed investigations of corneal cross-linking in ex vivo tissue show that the Bunsen-Roscoe reciprocity law is only valid for illumination intensities up to approximately 40 to 45 mW/cm2 with illumination times of more than 2 minutes. At higher intensities, the achieved stiffness increase is not significant anymore. In order to clarify the validity of these results for in vivo human corneal tissue, further experiments are necessary. Additionally, safety aspects at high intensities must be investigated. Particularly, the susceptibility of substructures of the cornea—such as the endothelium—must be considered. If transferability of our results and safety could be assured in the end, a new rapid corneal cross-linking procedure could be introduced in clinical practice. The shorter treatment time could increase both the patient's comfort and the doctor's patient throughput.
Other aspects that should be investigated in future studies are the influences of different concentrations of riboflavin and/or different irradiation energy doses. Potential effects of higher riboflavin concentrations could be higher protection of corneal endothelium and lens epithelium from UVA damage, and greater ability to allow tissue strengthening at irradiation intensities above 50 mW/cm2 and irradiation times of only 1 to 2 minutes.