Bioengineering Hyperbook

Department of Bioengineering


Category: Fractals

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

The Innovative Structural and Physical Properties of Radiolaria

Protist, silica skeletons, buoyancy and specific gravity control, photosymbiosis, optical properties, photonics

Vicky Barré, Liora Benzecry, Rhiannon Butler, Valerie Hung

Shaping Success: A Mathematical Exploration of Cyanobacteria across Scales

Allometric power functions, bacterial growth, geometrical models, persistence length, semi-flexible, colony, polyhedral

Max Bai, Sierra Bushey, Maria Delgopiatof, Valerie Syme

Microscopic Mathematics; Tintinnid’s Strategic Survival

Tintinnids, population dynamics, swimming, helices, geometry

Alexa Bailey, Lou Cubberly, Margaux-Blondin Routhier, Niall Slack-Watkins

Mathematical Marine Models of Coral Polyps

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

Michael Beyrouthy, Cris Izzi, Claudio Petroni, Alex Tsiskakis

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

Patterns and Networks in Animal Colonies

Colonial organisms, anthills, pattern recognition, coral reefs, mole rats, ecosystems, geometry

Berine Wehbeh, Sara Fraser, Yuheng Liu, Adi Orlov

Comparative Analysis of the Biological Mechanics of Veins and Arteries in Animals

Blood Vessels, Biomechanics, Vascular Tissue, Viscoelasticity, Transport Phenomenon

Akash Aniche, Hubert Laflamme, Deisha Paliwal, Julianna Raabel