Stochastic Processes

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 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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Mathematical Modeling of Marine Suction Cups

Many marine animals have evolved to include suction cups, and the suction cups of the natural world continue to inspire synthetic cup technology. Mathematical models can be used to understand the adaptations of different species and the way these operate. By deepening the knowledge of suction mechanisms, new and better…

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Mathematical Modeling of the Molting Process

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 parameters.…

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Mathematical Framework for Animal Foraging Patterns and Forager Population Dynamics

The animal kingdom encompasses all kinds of animals that collect their food supplies in unique ways. Consequently, by using mathematical language to describe these systems of behaviours, one can better understand and predict the way animals proceed during their food source search. This essay examines a few mathematical models describing…

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