Computation and Mathematical Modeling

A Mathematical Approach to Understanding Volvox

Abstract This paper sheds light on the suitability of mathematical theories and models to unveil a variety of design solutions inherent to Volvox. Having evolved from the unicellular Chlamydomonas, Volvox demonstrates that multicellularity is of particular interest to improve the nutrient uptake per somatic cell. Also, randomness plays a role

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The Biophysics of Volvox

Abstract Volvox are microscopic colonial algae that are heavily studied as they are one of the simplest examples of multicellular organisms. Composed of hundreds to tens of thousands of individual cells moving in harmony, they are the source of several mesmerizing phenomena, each of them serving a purpose for the

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Art in Symmetry: Mathematical Models that Dictate Radiolarian Structures

– ABSTRACT – This essay explores the fascinating intersection of mathematics and biology through the study of Radiolaria, which are intricate marine protozoa known for their symmetrical skeletal structures. The idea of symmetry is the core of this investigation, highlighting how radial and bilateral formations in Radiolaria are not only

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The Innovative Structural and Physical Properties of Radiolaria

ABSTRACT The intricate silica skeletons of Radiolaria, a type of marine microorganism, exhibit striking optical fiber-like properties, offering a potential roadmap for future innovations in the optical field. Beyond their applications for photonics, radiolarians are fascinating models for studying buoyancy control. They exhibit a variety of adaptive mechanisms that alter

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A Mathematical Analysis of Hydra

Abstract Hydrae present interesting physical properties, chemical properties and finally, mathematical properties. This organism may not be able to consciously make any computations, but that does not mean that mathematics cannot be used to model behaviors of this organism and gain a greater understanding of how it functions. The goal

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An Investigation into the Mathematical Modeling of the Properties of Gonium

ABSTRACT  The multicellular algae of genus Gonium have been shown to be a remarkable feat of evolution. It can be difficult to fully appreciate the colonial algae’s ingenuity when only observing the organism. By attempting to model their behaviour, insight into the beauty of their design can be gained in

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Mathematical Marvels of Foraminifera

Abstract Foraminifera are a family of marine unicellular eukaryotes whose fossils can be found throughout the world, from the deepest crevices of the ocean to the highest peaks of the Egyptian Pyramids. In this paper, we explore the mathematical models describing the optimization of common adaptations in foraminifera. Beginning with

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Deciphering Daphnia Dynamics: A Mathematical Odyssey into Aquatic Ecosystems

Abstract Amongst all the chaos found in aquatic ecosystems, Daphnia emerges as a small yet pivotal player, embodying the complexity and adaptability of life. This study presents a mathematical journey into Daphnia populations, revealing the sophisticated interplay between their unique reproductive strategies, survival tactics, and trophic interactions. Cyclical parthenogenesis, a

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Shaping Success: A Mathematical Exploration of Cyanobacteria across Scales

ABSTRACT Mathematical models and functions are familiar tools used to study biological systems and interactions, in particular with the study of infectious diseases. Epidemic and pandemic dynamics, however, are only one example of their applications for adding analysis, understanding, and insight into complex topics. In this essay, cyanobacteria’s size and

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Mathematical Analysis of Amoebas

Abstract Despite lacking a conventional nervous system as in more complex organisms, amoebae of various kinds display signs of “intelligence” in their high adaptability to the environment and their problem-solving abilities, which have fascinated scientists for many years. In this essay, we discuss various examples of amoeboid intelligence, such as

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Exploring the Mathematics of Unicellular Green Algae (Chlamydomonas Reinhardtii)

Mathematics could be described as an area of knowledge involving the use of numbers, equations, and models to describe phenomena, but at its essence, mathematics is the language of the universe. Accordingly, every aspect of the natural world is governed by this “language,” and with each passing day, humanity draws…

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Copepods Through the Lens of Math

Abstract The silent artistic order of the natural world has been revealed through mathematical concepts such as the Fibonacci sequence or the Golden Ratio. The beauty of nature is not random chaos but a manifestation of seemingly abstract mathematics. This review paper will present copepods through the distinct lens of

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