Reaction-Diffusion Relations

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…

Read More »

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…

Read More »

The Life Cycle of the Whiskers and Antennae of Animals and Insects 

This article explores the various chemical, cellular, and molecular mechanisms relevant to the life cycle of whiskers (barbels) and antennae. The growth of zebrafish barbel is characterized by elongation, vasculature development, and innervation of taste buds. Catfish barbels perform chemical and mechanical sensing; namely, their hyper-sensitive gustatory system enables catfish…

Read More »

Reaction Diffusion Patterns in Jaws of the Animal Kingdom

The endless number of patterns in nature is fascinating; they vary from spots on tigers, to lines on wood, to even teeth patterns in alligators. A mystery lies beneath all of this variety: how do these complex patterns arise and form such differing patterns? The origin of these patterns in…

Read More »

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…

Read More »

Quantifying Skin Patterns: Mathematical Interpretations of Camouflaging Techniques in Animals

Abstract 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

Read More »

Bioinformatics and Sensory Function of Mammalian Fur: An Analysis of Coat Patterning, Whiskers, and Trigger Hairs

Introduction The Turing pattern, which is further explained in the paper, is an observed pattern in natural systems ranging from cheetah print to coral growth. Alan Turing proposed a mathematical model to describe pattern formation based on reaction and diffusion rates of morphogens, and this model holds true for a

Read More »

Information Storage and Processing as Part of Pattern Formation, Photoreception, Thermoreception, and Mechanoreception of the Integument

Abstract Biological information storage and processing form the foundation for understanding organisms’ operation in nature. In this report, we examine the signaling and mathematical components of the skin from a portfolio of animals to illustrate their significance in governing the biomolecular and structural components in which they are intertwined. Particularly,

Read More »

Molecular Phenomena in Flipper Formation and Limits of Miniaturization

The goal of the following report is to explore the intricacies of marine animals’ flippers at a molecular level. Three main topics will be addressed throughout the analysis: the phenomena underlying the formation of flippers from embryos, the molecular processes involved in the fin-to-limb transition from fish to tetrapods, and the…

Read More »

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…

Read More »

Exploring the Structure and Functionality of Flippers

Among all living organisms, locomotion is extremely important. For large, multicellular organisms, it might be useful to find more suitable climates, or to escape from predators. For all living things, it is necessary to find nutrition, add diversity to the gene pool and limit inbreeding (Safran and Nosil, 2012). Methods…

Read More »