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

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

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

Trends Between Senescence, Longevity, and Internal Biological Properties in Living Organisms 

Senescence, longevity, ageing, metabolism, deterioration, lifespan

Alex Butler, Sophie McLean, Alexandru Toma, Kevin Xu

Sleeping in Flight: Adaptations of a Bird’s Brain

Birds, flight, brain function, sleep, REM

Ziyad Bouslama, Young Chae Han, Stephanie Makhlouf, Catherine Xu

Visual Lateralization in the Animal Kingdom

Brain lateralization, vision, sensing, signal propagation, memory, neurons

Tuna Gedik, Nassib Hassouna, Mohul Sharma, Michelle Sateen Yazbek