Bioengineering Hyperbook

Department of Bioengineering


Category: Geometry

The Wasp: Physical Analysis of Body and Movement 

Wasp flight mechanics; Compound eye structure; Wake capture; Ovipositor adaptation; Adhesive; Clap-and-fling mechanism; Morphological optimization; Environmental factors; Aerodynamic stability; Evolutionary biomechanics

Andrew Habelrih, Eliot Azar, Malak Zakaria

The Mathematical Organisation of Social Wasps 

Nest structure, Population dynamics, Resource optimization, Game theory, Dominance, Reproduction

Eliot Azar, Andrew Habelrih, Malak Zakaria

A Mathematical Approach to Modelling Termite Mound Organization and Population Dynamics 

Termites, Mound morphogenesis, Tunneling, Food transportation, Population modelling, Stigmergy

Rosalie Beaudin, Naia Kim, Mattias Sucher, Lucy Wiggers

Made to Model: Mathematical Representation of Sea Sponges 

Modeling, Porifera growth, Biosilicification

Camille Heaney, Chris Hu, Vadim Zamaruyev

The Mathematics Behind Coral Reef Structure, Growth, and Survival 

Coral population dynamics, Bilateral symmetry, Biradial symmetry, Symmetry, Reaction-diffusion models, Paleozoic corals, Fractal geometry, Hyperbolic geometry, Conservation

Maureen Awad, Evan Chow, Luke Gailloux, Rylee McKay, Adrian Yehia

Slime Mold: A True Biological Computer 

Network optimization, CELL models, Slime Mold Algorithm, Cognition, Game theory, Pattern formation, Reaction-Diffusion theory, Keller-Segel Model, Biomaterial

Audrey Pepin, Ethan Levene, Olivia Cozariuc, Tamir Kegeles

Euler Who? The Original Optimizers: Heterocephalus glaber and Their Algorithmic Society 

Naked mole rat, Graph theory, Optimization, Eusocial, Mating, Algorithm

Clayton Dame, David Bensemana, Lana Habhab

From Feathers to Formations: A Mathematical Analysis of Starling Murmurations 

Networks, Scale-Free Topologies, Murmurations, Geometry of Avian Physiology, Egg Geometry

Maeve Ding, Matt Levasseur, Nicole Shen, Rachael Zhang

Patterns and Proliferation: The Geometry Behind Fungal Systems 

Geometrical patterns, Growth rate, Dispersal mechanisms, Symmetry breaking, Hyphal networks, Graph theory.

Edison Luke, Felix Gamper, Lea Bleibel, Vasily Ignatov

Built on Simplicity: A Mathematical Analysis of Hydrozoa and Bryozoa 

Scaling relationships, geometry, branching patterns, growth, competitive hierarchy, Hydrozoa, Bryozoa

Aizaz Ahsan Wahla, Ocean Burland, Dante Daniel Garcia Perez & Jessica Michalski 

Understanding the Behavior of Schooling Fish Through Mathematical Models  

Fish, School, Collective behavior, Patterns, Interactions, Information transfer

Anne-Sophie Roy, Emma Warner, Hoi Ching Wat, Lucas Yatcyshyn 

Buzzing Through the Numbers 

Bee, Honeycomb, Space optimization, Reproduction, Fibonacci sequence, Labor division

Tzu-Yu Hung, Alysha Kutuzyan, Katarina Simanic, Steven Yang