Bioengineering Hyperbook

Department of Bioengineering


Category: Geometry

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

Discussion of Nature’s Design Solutions in Tintinnids: Masters of Microzooplankton Survival

Tintinnids, plankton, geometry, buoyancy, swimming, aquatic ecosystems

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

The Mathematical Principles Pertaining to Coccolithophores

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

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

How mathematics governs the nature of tentacles

Tentacles, muscles, simulations, geometry, cylinders, flagella

Yousif Al Shajlawi, Henry Bain, Charles Barakett, Julianna Bede

Mathematical Modeling of Marine Suction Cups

Suction cups, mathematical modelling, elasticity, geometry, biomimicry

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