Bioengineering Hyperbook

Department of Bioengineering


Category: Patterns

A Mathematical Approach to Understanding Volvox

Algae, fractal geometry, self-assembly, nutrient uptake, embryo inversion, multicellularity, randomness, swimming

Robinson Libman, Meryem Louni, Ryan McGibbon, Ali Najjar

Art in Symmetry: Mathematical Models that Dictate Radiolarian Structures

Voronoi tessellations, protist, biomineralization, symmetry, Geodesic sphere, tomography, symmetry

Vicky Barré, Liora Benzecry, Rhiannon Butler, Valerie Hung

A Mathematical Analysis of Hydra

Turing pattern, regeneration, microbial symbiosis or holobiont, feedback, topology and toplogical defects

Jessica Coulson, Magnus Duffy, Ruolin Hu, Shilong Zheng

Mathematical Marvels of Foraminifera

Adaptation, pore patterns, symbiosis in microeukaryotes, calcification and acidification, shell growth/development, morphogenesis, symbiosis

Emma Bussières, Carolyn Denton, Reno Thompson, Xiao (Rachel) Jiang

Mathematical Models of Diatoms: Understanding Their Complex Shape, Reproduction and Chain Formation

Diatoms, geometry, Gielis formula, structural functionality, fractals

Peter Matthews-Crochetiere, Daniel Ibrahim, Wenan Liao, Cedric Mackay

Proboscis Geometry, Allometry and the Mathematical Beauty of Spirals in Nature

Proboscis, geometry, spirals, allometry, Fibonacci sequence, Golden ratio

Han Ru Liu, Letizia Marello, Liam Sterne, Kori Zhang

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

Hooves, ungulates, Golden ratio, mathematical modelling, Kepler's triangle

Yitian Zhang, Claire Driedger, Marshall Moussavi, Emmanuel Menacho Tardieu

An Evolutionary Analysis of the Chemical Composition of Marine Suction Cups

Suction cups, collagen, evolution, cytoskeleton, biochemistry, sensing

Juan Manuel Rocha Angel, Mika Chang, Emily Martin, Tokiniaina Raharison Ralambomihanta

A Mathematical Analysis of Animal Horns

Horns, evolution, computational analysis, asymmetry, helices, 3D modelling

Lily Trestan, Rachel Jung, Toufic Jrab, Victor Novakov

Geometry is Key: Mathematical Modeling of Whiskers and Antennae

Whiskers, antennae, geometry, Euler spiral, sensing

Yen Chuang, Giselle De Leon, Anna Xuyao Shi, Ella (Yaxin) Wang

The Complexity of Spines and their Mathematical Connections

Spines, structural modelling, Laplace pressure, defense, Voronoi patterns

Coty Ma, Alexandra Schuck, Éloïse Soderböm, Dan Voicu

A Geometrical Analysis of Different Animals’ Carapace

Carapace, turtle shells, tessellation patterns, Turing patterns, Voronoi patterns, structural functionality

Elisabeth Lawton, Emma Geoffroy, Osandi Hewage, Yitao Sun