Bioengineering Hyperbook

Department of Bioengineering


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

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

An Investigation into the Mathematical Modeling of the Properties of Gonium

Pyrolysis biofuel, formal language theory/computational linguistics, flagellar fluid dynamics, phototaxis, Thermogravimetric analysis, growth modelling

Andrew D’Argenio, Breanna D’Ettorre, Lucas Elliott, Joseph Gad

Exploring the Mathematics of Unicellular Green Algae (Chlamydomonas Reinhardtii)

Unicellular green algae, synchronization, fluid dynamics, optimization, population dynamics, growth modeling

Ai-Lan Ji-Eun Nguyen, Tesnim Obey, Anders Schwarz, Jackson Yu

Magnetic Marvels: A Mathematical Exploration of Magnetotactic Bacteria

Magnetotactic bacteria, crystals, symmetry, geometry, statistical mechanics, chemotaxis

Alex Gagnon, Catriona Kirk, Jason Li, Sofian Martinais

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

How mathematics governs the nature of tentacles

Tentacles, muscles, simulations, geometry, cylinders, flagella

Yousif Al Shajlawi, Henry Bain, Charles Barakett, Julianna Bede

Mathematical Modeling of Marine Suction Cups

Suction cups, mathematical modelling, elasticity, geometry, biomimicry

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

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

Mathematical Space-Filling Models and Applications in Adipose Tissue

Adipose tissue, fat, space-filling models, tiling, packing, lipid droplets

Josh Negenman, Milana Farah, Michelle Sayeh, Edward Tong

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

Crab Chelae Allometry and Implications on Game-Theoretic Armament Evolution

Crab pincers, chelae, allometry, morphology, force distribution, Game theory

Emilia Bridgeman, Claire Levasseur, Maxim Petkun, Alain Peng Zhang

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

Mathematical Modeling of Aerodynamic Functions of Aquatic and Avian Tails

Mathematical Modeling, Aerodynamics, Tails, Fin, Stiffness, Resonance, Propulsion

Moriah Campbell, Martin Pone, Clementine Ruiz

Exploration of Mathematical Laws Governing Claws and their Applications within Flying Animals, Terrestrial Pests, and Amniotes

Mathematical Modeling, Claws, Logarithmic Growth and Spiral, Niche, Biomimicry, Digging, Predator-Prey

Liela Andringa, Alan Fu, Alex Jung, Oscar Cruz Hernandez

Numerical Modeling of Butterfly Scale Structure and a Few of its Physical Properties

Numerical Modeling, Structural Coloration, Reflectance, Fourier Transform, Butterfly, Hydrophobic, Thin Film Optics

Eve Barrette-Vanasse, Anne Laurin, Rus Trana, Jun Xiao

Mathematical Modeling of the Antler Growth Cycle

Mathematical Modeling, Antler, Growth Cycle and Growth Rate, Photogrammetry, Handicap Principle, Memory

Laurianne Daoust, Félix Lavoie, Annabelle Huynh-Rondeau, Erica Song