Fractals

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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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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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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Microscopic Mathematics; Tintinnid’s Strategic Survival

In this essay, we explore tintinnids’ survival designs within the context of fundamental mathematics principles. Tintinnids use mathematics concepts for everyday functions such as swimming and self-protection. We delve into tintinnids’ various swimming patterns. We take a close look at the helical swimming motion, or more precisely how that motion…

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Mathematical Marine Models of Coral Polyps

While coral polyps have been extensively studied across various scientific perspectives, this paper will explore them from a Mathematical perspective. Coral’s spontaneous growth pattern was mathematically modelled and explained from a polyp-oriented perspective, showing how polyps contribute to growth patterns. Moreover, corals are heavily reliant on their environment which contributes…

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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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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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Patterns and Networks in Animal Colonies

This essay analyses an assortment of animal homes and the way they are constructed, maintained, and affected due to the environment that surrounds them. Since the usage of a refuge has been moulded by the evolution of animals in their original environment, recurring patterns can be observed when analyzing these…

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Comparative Analysis of the Biological Mechanics of Veins and Arteries in Animals

Outcomes of evolution, arteries and veins are dynamic vessels that serve to transport materials to the body’s tissues and organs. This is both enabled and facilitated by the designs that endow the devices with this ability. This report introduces the concept of design and function regarding blood vessels, analyzed within…

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