Allometry

Mathematical Models of Diatoms: Understanding Their Complex Shape, Reproduction and Chain Formation

Apart from physical and chemical solutions used by the diatom for survival, some features of the unicellular microalgae also could be described in mathematics. For instance, the diatom morphology reveals a striking alignment with the golden ratio and fractal geometry. By examining the silica shells of these unicellular algae, we…

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Life-Sustaining Processes of the Diatom

The chemical reactions, processes, and mechanisms that occur inside diatoms are key to their ability to survive and dominate the world of microalgae. Through photosynthesis, the diatom can absorb sunlight and carbon dioxide and then convert them into oxygen and glucose with the help of chlorophyll, which is a common…

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Frustules: Design solutions in Diatoms

There are many microorganisms in the universe, and they can generally be sorted into three types: prokaryotic, eukaryotic, and acellular. The subject of this paper is a member of the eukaryotic family, and they are commonly present in nature: the diatom. The diatomite which is formed by the death of…

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The Mathematical Principles Pertaining to Coccolithophores

Through their production of protective calcite shells known as coccospheres, coccolithophores are known as one of the ocean’s many architects. These coccospheres can be broken down into smaller and smaller components: individual ‘shields’ known as coccoliths and singular calcite crystals. Both the arrangement of individual calcite crystals in coccoliths and…

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Crab Chelae Allometry and Implications on Game-Theoretic Armament Evolution

Pincers (alternatively known as chelae) are an integral component of many arthropod species. Many species, from arachnids to crustaceans, rely on the chelae for survival. Chelae are a highly functional and morphologically diverse group of structures found in crustaceans whose functions range from cracking open coconuts in coconut crabs to…

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