Probability and Statistics

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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Magnetic Marvels: A Mathematical Exploration of Magnetotactic Bacteria

Order can be found within the seemingly complex, and perhaps even disordered, processes and shapes that constitute magnetotactic bacteria (MTB). This order can be explained by the concepts of mathematics. First and foremost, the crystalline structures within the magnetosomes of MTB can be modelled mathematically. Magnetite and greigite crystals consist…

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A Physical Analysis of Magnetotactic Bacteria: Nature’s Microscopic Compass as a Solution to a Motile Biotope

Figure 1: Magnetotactic Bacteria (Perduca, 2016). Magnetotactic bacteria (MTB) are unique aquatic microaerophiles that can align and move in the direction of the Earth’s magnetic field. In this paper, the basic physical properties of magnetosomes, some mechanisms, such as magnetotaxis, and phototaxis, involved in the MTB’s motion, and the role…

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Mathematical Modeling of the Molting Process

Abstract Molting is a crucial and intricate process requiring the timely shedding of an animal’s body part, which may include the epidermis, the pelage, or the entire exoskeleton. The unique mechanisms governing the molting cycles of different species can be quantitatively analyzed to predict patterns and behaviours based on key

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Mathematical Modelling in Lactation: An analysis of hormonal regulation and complex lactation mechanisms

Abstract  Lactation is a unique natural mechanism shared amongst mammalian species that serves the primary purpose of providing offspring with the vital nutrition and immune support necessary in the early stages of fetal development.  The process of lactation has been extensively researched and has led to the application of mathematical

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A Mathematical Representation of Brain Activity During Sleep

Abstract While an organism may seem inactive and static while sleeping, its brain displays a host of unique electrical brain activity. When these voltage fluctuations are graphically represented as waves, it illustrates how the brain processes and consolidates information between its neurons. Delta waves, theta waves, and sleep spindles are

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Stable Isotope Analysis: Predictive Power and Challenges

Abstract The presence of stable isotopes, i.e., elements with extra (or missing) neutrons which do not decay over time, provides a strong tool for tracing of animal activities in both the near and distant past. Quantification of these stable isotopes using mass spectrometry, followed by mathematical analysis, allows scientists to

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