Bioengineering Hyperbook

Department of Bioengineering


Category: Ecological Modeling

Patterns and Proliferation: The Geometry Behind Fungal Systems 

Geometrical patterns, Growth rate, Dispersal mechanisms, Symmetry breaking, Hyphal networks, Graph theory.

Edison Luke, Felix Gamper, Lea Bleibel, Vasily Ignatov

The Mathematics of Antarctic Krill 

Optimization, chaos theory, krill herd algorithm, Lotka-Volterra, Leslie-Gower

Alaia Krishnan Claveras, Celina Moukarzel, Chloe Chan Lam, Julia Purdue, Lina Benchekor 

Built on Simplicity: A Mathematical Analysis of Hydrozoa and Bryozoa 

Scaling relationships, geometry, branching patterns, growth, competitive hierarchy, Hydrozoa, Bryozoa

Aizaz Ahsan Wahla, Ocean Burland, Dante Daniel Garcia Perez & Jessica Michalski 

Understanding the Behavior of Schooling Fish Through Mathematical Models  

Fish, School, Collective behavior, Patterns, Interactions, Information transfer

Anne-Sophie Roy, Emma Warner, Hoi Ching Wat, Lucas Yatcyshyn 

Buzzing Through the Numbers 

Bee, Honeycomb, Space optimization, Reproduction, Fibonacci sequence, Labor division

Tzu-Yu Hung, Alysha Kutuzyan, Katarina Simanic, Steven Yang 

A Mathematical Approach to Barnacle and Limpet Adaptations 

Barnacles, limpets, mathematical patterns, modelling, game theory, and evolutionary pressure.

 Laetitia Abdallah, Mohammad Jibran Budullah, Lucas Chan, Ralph El Hajj 

Ant Algorithms for Collective Intelligence 

Algorithms, foraging, pheromones, cooperative transport, eusocial, clustering

Jung Hao Cau, Luciana Chambilla Pastor, Fatima Janneh, Ya Lin  

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