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We consider chemotaxis-Navier–Stokes systems with logistic proliferation and signal consumption of the form "Equation missing"for parameter choices $$\kappa \ge 0$$ κ ≥ 0 and $$\mu >0$$ μ > 0 . Herein, we moreover impose a nonnegative and time-constant prescribed concentration $$c_\star \in C^2({\overline{\Omega }})$$ c ⋆ ∈ C 2 ( Ω ¯ ) for the signal chemical on the boundary of the domain $$\Omega \subset {\mathbb {R}}^{\mathcal {N}}$$ Ω ⊂ R N with $${\mathcal {N}}\in \{2,3\}$$ N ∈ { 2 , 3 } . After first extending the previously known result on time-global existence of weak solutions for the Stokes variant to the full Navier–Stokes setting, we proceed with an investigation of eventual regularity properties in the slightly more restrictive setting of $$c_\star $$ c ⋆ being also constant in space. We show that sufficiently strong logistic influence, in the sense that for $$\omega >0$$ ω > 0 and $$\mu _0>0$$ μ 0 > 0 there is some $$\eta =\eta (\omega ,\mu _0,c_\star )>0$$ η = η ( ω , μ 0 , c ⋆ ) > 0 with the property that whenever $$\begin{aligned} \mu _0\le \mu \quad \text {and}\quad \frac{\kappa }{\min \{\mu ,\mu ^{\frac{{\mathcal {N}}+6}{6}+\omega }\}}<\eta \end{aligned}$$ μ 0 ≤ μ and κ min { μ , μ N + 6 6 + ω } < η are satisfied the global weak solution eventually becomes a smooth and classical solution with waiting time depending on $$\omega ,\mu _0,\eta ,c_\star $$ ω , μ 0 , η , c ⋆ and the initial data.

We previously developed a technique to acquire a SLO (scanning laser ophthalmoscope) like fundus intensity image from the raw spectra measured with spectral-domain optical coherence tomography (OCT), the same spectra used to generate a 3D OCT data set. This technique offers simultaneous fundus and OCT images and, therefore, solves the problem of registering a cross sectional OCT image to fundus features. However, the registration of high density OCT images is still an unsolved problem because no useful fundus image can be generated from the high density scans. High density OCT images can significantly improve the image quality and enhance the visualization of retinal structure, especially the structure of small lesions. We have developed a feature-based algorithm, which can register a high density OCT image on the fundus image generated from normal density scans. The algorithm was successfully tested for both normal and diseased eyes.

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