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

A Mathematical Analysis of Hydra

Turing pattern, regeneration, microbial symbiosis or holobiont, feedback, topology and toplogical defects

Jessica Coulson, Magnus Duffy, Ruolin Hu, Shilong Zheng

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

Deciphering Daphnia Dynamics: A Mathematical Odyssey into Aquatic Ecosystems

Trophic interactions or food web, parthenogenesis, game theory, movement and migration, phenotypic plasticity, predator-prey

Eva Otell, Iris Sun, Marwan Sobh, Xinying Wang, Rémi Ouellette

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

Mathematical Analysis of Amoebas

Motility, crystal, optimization, maze-solving, swarm, oxidation

Hailey Jukes, Adele Omichinski, Nicholas Da-Costa-Bastidas, Gil Qin

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

Copepods Through the Lens of Math

Low-Reynolds, swimming, diel vertical migration, reflectance, molting, coloration, crustacean

Johanna Turton, Melodi Rousset, Philippe Mercier, Tanjin Sultana

Microscopic Mathematics; Tintinnid’s Strategic Survival

Tintinnids, population dynamics, swimming, helices, geometry

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

The Mathematics of Tardigrade Behavior and Development

Tardigrades, 3D modeling, feeding, optimization, allometry, trophic networks

Luccia Jabbour, Eden Karp-Foster, Jeremy Lachance, Wadi Zahka

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 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

The Mathematical Principles Pertaining to Coccolithophores

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

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

Exploring Aquatic Fungi Through Mathematical Tools

Aquatic fungi, mathematical models, population modeling, decomposition, bioremediation

Izabela Junqueira Magalhaes, Kristina Kerkelova, Ruizhi Liu, Yasmine Sadr Kaufmann