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

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

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

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

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

Reaction Diffusion Patterns in Jaws of the Animal Kingdom

Reaction Diffusion Patterning, Denticles, Morphogenesis, Teeth, Jaws, Growth

Michelle Levy, Riwa Itani, Joseph Marsilio, Irene Simier Requejo

Mathematical Models of Molluscan Shell Patterns and Morphology

Molluscs, Shells, Growth, Mechanical Energy Dissipation, Reaction Diffusion, Pigmentation, Mathematical Modeling

Elliott Cole, Gabriel Linaje-Ferrel, Salma Oraichi, Mikaela Phung

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

Quantifying Skin Patterns: Mathematical Interpretations of Camouflaging Techniques in Animals

Camouflage, Turing patterns, saliency mapping, mathematical modelling, cheetahs

Christopher Coluni, John Eric Hamilton, Olivia Lopardo, Olivier Morin