Bioengineering Hyperbook

Department of Bioengineering


Category: Curvature

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

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

Buzzing Through the Numbers 

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

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

Ant Algorithms for Collective Intelligence 

Algorithms, foraging, pheromones, cooperative transport, eusocial, clustering

Jung Hao Cau, Luciana Chambilla Pastor, Fatima Janneh, Ya Lin  

Mathematical Marine Models of Coral Polyps

Coral polyps, geometry, branching, environmental modeling, fractals, hyperbolic geometry

Michael Beyrouthy, Cris Izzi, Claudio Petroni, Alex Tsiskakis

The Mathematical Principles Pertaining to Coccolithophores

Coccolithophores, geometry, 3D modeling, vestigial haptonema, growth modeling

Megan Farrow, Zackary Murphy, Minh Tri Pham, Jia Yi Yu