Bioengineering Hyperbook

Department of Bioengineering


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

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

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

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

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

Exploring Aquatic Fungi Through Mathematical Tools

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

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

Mathematical Modeling of Aerodynamic Functions of Aquatic and Avian Tails

Mathematical Modeling, Aerodynamics, Tails, Fin, Stiffness, Resonance, Propulsion

Moriah Campbell, Martin Pone, Clementine Ruiz

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

Population Dynamics for Mutualistic Relationships

Population dynamics, mutualistic relationships, bees, moths, parasites, ecology

Beth Cushnie, Dorothy Ma, Anh Ngo, Tanoulu Li

The Gravity of Connectivity in Migratory Birds During a Climate Emergency

Birds, migration, pathogen transmission, climate change, population modelling

Taymour Elgamal, Trina Fearon, Karim Mustafa

Courtship and Mating Within Evolutionary Game

Game theory, courtship, mating, evolution, mathematical modelling

Liam Fetherstonhaugh, Joseph Grotsky, Chloe Jacquet, Samuel Nidelli

Mathematical Model Trends Between Longevity and Social Structure Dynamics in the Mammalian Class

Mammals, social relationships, statistics, organization, longevity, population dynamics

Alex Butler, Sophie McLean, Alexandru Toma, Kevin Xu

Mathematical Models of Predator-Prey Population Dynamics 

Population dynamics, predator-prey relationships, Lotka-Volterra model, disease transmission

Andrew Xie, Dalya Messaoudi, Laurier Gauvin,  Reefah Kabir

Modeling Population Dynamics & Evolutionary Cooperation with Game Theory

Game theory, evolution, matrices, hawks, selection

Steven Xu, Tri Vinh Truong, Emma Wong, Quinten Bennett

Mathematical Framework for Animal Foraging Patterns and Forager Population Dynamics

Foraging patterns, Levy processes, marginal value theorem, population dynamics, stochastic models

Ella Gadoury, Emma Lee, Floriane Baudin, Tian Rui Wang

Stable Isotope Analysis: Predictive Power and Challenges

Stable isotopes, probability, migration, paleoecology, geology

Graeme McDougall, Jeongbin Shin, Mona Wang, Ritchie Yu