Bioengineering Hyperbook

Department of Bioengineering


Category: Differential Equations

Slime Mold: A True Biological Computer 

Network optimization, CELL models, Slime Mold Algorithm, Cognition, Game theory, Pattern formation, Reaction-Diffusion theory, Keller-Segel Model, Biomaterial

Audrey Pepin, Ethan Levene, Olivia Cozariuc, Tamir Kegeles

Strategic Salps: Mathematical Logic Behind Salp Survival 

Salps; Game Theory; Diel Vertical Migration; Salp Swarm Algorithm; Optimization

Steven Lin, Stephanie Roy, Daniel Tang, Canyu Wu, Mollee Ye

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 Approach to Understanding Volvox

Algae, fractal geometry, self-assembly, nutrient uptake, embryo inversion, multicellularity, randomness, swimming

Robinson Libman, Meryem Louni, Ryan McGibbon, Ali Najjar

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

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