Equilibrium

A Geometrical Analysis of Different Animals’ Carapace

This article explores the applications of geometry to the carapace of different organisms. The initial focus is on the three-dimensional shape of the turtle carapace to introduce the Gomboc shape which provides the self-righting feature to the turtle based on its unique property of equilibrium points. Then, the patterns of…

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Biomineralization in Mollusks and Brachiopods

The beauty of shells hides an elaborate interrelationship of structures that provides a protective layer against environmental and predatorial threats. The constant need to defend their soft body has driven mollusks to develop complex shell structures that maximize their chances of survival. This essay reviews the understanding of the process of…

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Chemical Mechanisms of Resonating Devices in Animals for Communication and Information Reception

Acoustic resonance is a highly effective method of communication and information reception in the animal kingdom, pervasively employed by creatures as small as the 4mm Nuctenea sclopetaria spider and as large as  the colossal Orcinus orca (killer whale). Resonance is often achieved either via specialized organs or an extended phenotype.…

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Mathematical Models of Molluscan Shell Patterns and Morphology

Mollusk shells’ mesmerizing diversity of forms stems from their variations in shape, features and patterns. While these forms are highly complex and diverse, research has aimed to establish an overarching model that explains the formation of these shell characteristics. This essay explores the mathematical models that capture these natural forms…

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Population Dynamics for Mutualistic Relationships

Mathematics is increasingly present in various disciplines and especially in biology. Modeling in biology began to be used in population dynamics to model the growth of populations and the multiple interactions that may exist between them. There are many different types of models that can be constructed, with various levels…

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Quantifying Skin Patterns: Mathematical Interpretations of Camouflaging Techniques in Animals

The question whether a relationship between mathematics and biology exists has always been up for debate. The reason for such skepticism lies in the obvious complexity within living organisms and the amount of variability. Biologists have a certain level of distrust towards mathematical interpretations as they tend to oversimplify the…

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Courtship and Mating Within Evolutionary Game

In this essay, we investigated methods of mathematical modeling which can be utilized to describe evolutionary game theory. An organism’s evolutionary fitness is defined by their ability to pass their genes on to their offspring. Without effective courting and mating practices, it is impossible to find quality mates and therefore…

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The Heart: Information and Storage Processing

We start by providing a general overview of the cardiac conduction system, beginning with the circuit the electric signal takes through the heart and then focusing in on specific cells. Such a complex cardiac conduction system is only fully present in mammals. We will then cover the signal conduction process…

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Biomolecular Factors for Immunity, Color Change, and Mechanical Strength of the Integument

The skin is a highly complex organ. It contains many components which allow it to fulfil its functions. These components include various cells and proteins which are regulated by intricate biological pathways. Across different organisms, there is a large variety of these components, which exist at several levels of complexity and…

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