Biomechanics and Biophysics

Frustules: Design solutions in Diatoms

Abstract 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

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The Mathematical Principles Pertaining to Coccolithophores

Abstract 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

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The Physical Properties and Interactions of Coccolithophores

Abstract Coccolithophores are one of the world’s most important calcifying organisms. Populating the greater light-intensive areas of the ocean, these unicellular haptophytes are more broadly classified as photosynthetic phytoplankton. These organisms’ anatomy, physiology, and various processes make them irreplaceable contributors to the world’s carbon cycle. They are responsible for modifying

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Physical Analysis of Amoeba

Abstract  Out of all the types of cell migration, amoeboid movement is studied very extensively due to its use by important biological components such as white blood cells. Despite the attention it has received, this type of cell movement has yet to be fully understood. Examining it from different perspectives

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Functional Mechanics of the Elephant and Butterfly Proboscis

Abstract The trunk, also known as the proboscis, is a tubular, flexible and hollow appendage that varies in size and function; some species use it to regulate temperature, while others use it for feeding or grabbing. The purpose of this paper is to explore the biological mechanics of the movement

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Mathematical Modeling of Marine Suction Cups

Abstract 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

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Using Mathematical Principles to Gain a Deeper Understanding of the Form and Function of Hooves

Abstract The role of ungulates’ hooves, which are morphologically complex structures, is to support body weight and provide traction to aid in their adaptation to varied external conditions. This essay aims to investigate the relationship between the mathematical model and the morphology of the hoof. The golden ratio, an irrational

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Mechanical Analysis of Animal Horns

Abstract This essay dives into animal horns and the physical composition, mechanical properties, and ingenious designs that make them incredibly effective at everything they do. It features a selection of horn structures from different organisms in the animal kingdom, which demonstrates the diversity of horn structures while also showing the

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A Mathematical Analysis of Animal Horns

Abstract The following essay examines the application of mathematics to biological structures, in particular animal horns. It begins by exploring the evolutionary reasons for ornamental appendages among horned animals.  Mathematical computations reveal a relationship between ornament size and “honest advertisement” due to a high cost of having such large appendages.

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Geometry is Key: Mathematical Modeling of Whiskers and Antennae

Abstract Rat whiskers can be  modeled by Euler spirals,  curves with linear change in curvature. One hypothesis explaining vibrissae shape is that the linear growth of rat whiskers creates linear curvature. Another hypothesis is that the Euler spiral is an optimal shape to satisfy its sensory needs. The patterning of

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Spines: The Multitudes and Multi-functionalities of their Mechanisms

Abstract Many organisms possess internal defense mechanisms, intrinsic properties, and behaviors adapted for their survival. Spines and quills differ immensely across families, and this disparity exacerbates further amongst taxa. Environmental pressures such as predation and habitat unique to each species results in various physical design mechanisms for spines and quills.

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Comparison of Antenna and Whisker Functions in Different Environments

Abstract Animals and insects use whiskers and antennae for orientation, foraging, stalking prey, finding mates, and fighting. This article explores the function of whiskers and antennae in different environments and species. Rats use a whisking motion to contact surfaces and gather sensory information regarding object shapes and textures. Kinetic motion

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