I'm interested in Pyrocystis biology and related research, and in search of recent published papers I found this article. The math may be intriguing, but the biology link they implied is flawed at the very beginning due to a lack of fundamental understanding of phycology. The most obvious one in my opinion is "we model the chloroplast as a small, perfectly absorbing sphere at the center of the cell", which literally is an example of spherical chicken in a vacuum. Plastid is commomly being pushed to the surface of plant cell by the central vacuole, rather than staying at the center. This is an important evolution-driven adaptation to maximize photosynthesis, as chloroplast remodeling is highly regulated in most autotrophic eukaryotes. For Pyrocystis lunula, the circadian and light-induced remodeling of plastid is a well documented phenomenon. Pyrocystis fusiformis also shows circadian plastid movement, in which they retract filament-like plastid and expand bioluminescence-producing scintillons around dusk. The plastid of Pyrocystis is not small nor sphere nor at the center of the cell. These observations have actually been cited and summarized in the Introduction of this paper. It seems like the authors avoid this issue by ignoring it. I'm not sure if they were mislead by the photos they found, or they intentionally selected night phase photo in which the plastid was retracted around the nucleus (which appear to sit at the center that can be an artifact due to perspective). There are many if not all other aspects regarding dinoflagellate biology that's questionable. For example, they claimed that "In the turbulent ocean, microorganisms receive sunlight that is scattered and refracted from nearly all directions, while their random orientations within the flow further homogenize the light distribution", which is not backed up by proper ecological research citation. Vertical light intensity distribution in ocean along with many other metrics including nutrition, oxygen, salinity, and temperature are well-studied in marine ecology. The non-homogenized distribution of these factors drive vertical migration of planktons, especially dinoflagellates. Algae can also control their orientation in current by buoyancy shift and shape adaptation affecting fluid dynamics.

Part of the study was about Chlamydomonas reinhardtii. I don't know much about green algae but I don't see much meaningful advancement comparing to the original PNAS paper, in which the authors already measured the focal length and refractive index of the cell. This math/physics paper only built pure math models/simulations and did not appreciate previous experiment measurements in their models. All these made their so-called "framework for understanding how cell shape influences the distribution of light in organisms" and even "offer a testable hypothesis for subcellular organization driven by optical advantages" less defensible to my view.

Cell optics is an emerging subject that's not only drawing attention in organelle research but also a long-standing consideration in microscopy. It's indeed an important issue pending applied math and theoretical physics analysis, however, it's not properly addressed in this article to yield practical values. I love mathematics too and I'm glad to learn from mathematicians who share their thoughts on multidisciplinary topics, but I geniunely believe that mathematicians should restrain themselves from commenting complex systems they don't really understand. They should consult experts in the established field and respect others' previous work before building oversimplifying models without hand-on experience but idealized imagination and making misinformed claims bleeding into peer-reviewed archives. This is extra concerning in the LLM era, when AI can easily pick up lines from such publications to validate an inaccurate prompt.