Bioengineering Hyperbook

Department of Bioengineering


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

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

The Mathematical Principles Pertaining to Coccolithophores

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

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

Mathematical Modeling of Marine Suction Cups

Suction cups, mathematical modelling, elasticity, geometry, biomimicry

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

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 Biochemical Review of Exoskeletal and Muscular Pincer Components and Biomimetic Applications

Bouligand, Pincer, Calcium Carbonate, Stress, Mineralization, Molting, Biomimicry

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

Review of the Mechanical, Structural, and Physical Properties of Pincers: An Evolutionary Wonder

Pincer, Defense Mechanisms, Chelae, Evolution, Bouligand, Hardness/Elasticity

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

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

Animal Architecture: The Mechanics Behind Some of Nature’s Most Ingenious Structures

Materials and Mechanics, Architecture and Shelter, Thermoregulation, Habitat, Stress, Hexagonal Geometry, Friction

Adi Orlov, Berine Wehbeh, Yuheng Liu, Sara Fraser

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