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

The Biophysics of Volvox

Protist, algae, hydrodynamic interaction, phototaxis, embryo inversion

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

An Investigation into the Mathematical Modeling of the Properties of Gonium

Pyrolysis biofuel, formal language theory/computational linguistics, flagellar fluid dynamics, phototaxis, Thermogravimetric analysis, growth modelling

Andrew D’Argenio, Breanna D’Ettorre, Lucas Elliott, Joseph Gad

Mathematical Marvels of Foraminifera

Adaptation, pore patterns, symbiosis in microeukaryotes, calcification and acidification, shell growth/development, morphogenesis, symbiosis

Emma Bussières, Carolyn Denton, Reno Thompson, Xiao (Rachel) Jiang

Exploring the Mathematics of Unicellular Green Algae (Chlamydomonas Reinhardtii)

Unicellular green algae, synchronization, fluid dynamics, optimization, population dynamics, growth modeling

Ai-Lan Ji-Eun Nguyen, Tesnim Obey, Anders Schwarz, Jackson Yu

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 Modelling of Dinoflagellate Swimming, Population Dynamics and Interactions with Other Organisms

Dinoflagellates, vertical migration, population modeling, growth modeling, carrying capacity

Thalia Azadian, Arda Barlas, Sophia Chen, Simon Girard

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

Life-Sustaining Processes of the Diatom

Diatoms, life cycles, biomineralization, reproduction, reactive oxygen species, biochemistry

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