Statistical analysis of the relationship between
R and the other parameters, including
H(0), ρ, and λ, showed a strong and statistically significant relationship between
R and ρ. However, there was no statistically significant correlation between
R and λ, yet there was a weak, though statistically insignificant, correlation in the relationship between
R and
H(0). It can theoretically be expected that the time constant, λ, correlates with the meniscus radius,
R, and that one might expect equilibrium to occur more quickly when the tear film is thicker (greater meniscus radius), yet no correlation was found in the cases we studied. However, the correlation with statistical significance similar to that between
R and
H′(0) was found between
R and ρ. This is reasonable, taking the Voigt model
(equation 2)into consideration, because λ in our empiric equation corresponds to τ (i.e., η/κ of
equation 2 , where both η and κ are material, intrinsic properties of the TFLL and are unrelated to
R). Moreover, considering
H′(0) = ρ/λ and the significant correlation between
H′(0) and
R obtained from our result, a significant correlation between
R and ρ is also reasonably expected, where ρ is concerned with the equilibrium value for lipid spread and implies how high the lipid layer can spread along the
y-direction; a lower height for lipid layer spread can be expected when the tear film is thinner (lower meniscus radius) because a thicker aqueous layer would be expected to allow the lipid layer to be carried higher.