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

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

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 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

A Mathematical Analysis of Animal Horns

Horns, evolution, computational analysis, asymmetry, helices, 3D modelling

Lily Trestan, Rachel Jung, Toufic Jrab, Victor Novakov

Crab Chelae Allometry and Implications on Game-Theoretic Armament Evolution

Crab pincers, chelae, allometry, morphology, force distribution, Game theory

Emilia Bridgeman, Claire Levasseur, Maxim Petkun, Alain Peng Zhang

Mathematical Modeling of Aerodynamic Functions of Aquatic and Avian Tails

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

Moriah Campbell, Martin Pone, Clementine Ruiz

Mathematical Modeling of the Antler Growth Cycle

Mathematical Modeling, Antler, Growth Cycle and Growth Rate, Photogrammetry, Handicap Principle, Memory

Laurianne Daoust, Félix Lavoie, Annabelle Huynh-Rondeau, Erica Song

Mathematical Modeling of the Molting Process

Molting, mathematical modelling, fur, feathers, exoskeleton, statistics

Sidrah Alousi-Jones, Le Chen, Léanne Gauthier, Haley Janvrin

Mathematical Modelling in Lactation: An analysis of hormonal regulation and complex lactation mechanisms

Lactation, hormones, feedback loops, regulation, mammogenesis

Ayoub Rabhi, Zachary Gurberg, Olivia Clague, Di Ah Lim

Population Dynamics for Mutualistic Relationships

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

Beth Cushnie, Dorothy Ma, Anh Ngo, Tanoulu Li

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

Animal Communication: A Mathematical Review

Communication, bioluminescence, pheromones, insects, probability, vocalization

Adam Khan, Janique Mayrand, Olivia Ouellet, Angela Wang

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

Feedback Loops and Circadian Rhythms in Parturition and Hatching

Circadian rhythms, feedback loops, parturition, birthing, hatching, embryonic development

Serena Kim, Massimiliano Garzia, Lila Oualim, Mark Tchinov

Design, Purpose and Specificity of the Narwhal’s Tusk

Narwhals, tusks, ivory, dental anatomy, growth mechanisms, elephants

Taegan Hallahan, Emma Martin, Marion Vandewynckele-Bossut, Mianchen Wang

Regulation of the Gut and its Effect on Animal Behavior

Gastrointestinal system, gut microbiome, biochemical pathways, neurotransmitters, complex system of equations

Trevor Hum, Xavier Santerre, Kyle Vamvakas, Mathilde Wagner