Bioengineering Hyperbook

Department of Bioengineering


Category: Differential Equations

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

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

Magnetic Marvels: A Mathematical Exploration of Magnetotactic Bacteria

Magnetotactic bacteria, crystals, symmetry, geometry, statistical mechanics, chemotaxis

Alex Gagnon, Catriona Kirk, Jason Li, Sofian Martinais

A Physical Analysis of Magnetotactic Bacteria: Nature’s Microscopic Compass as a Solution to a Motile Biotope

Magnetotactic bacteria, phototaxis, aerotaxis, sensing, fluid dynamics, swimming

Alex Gagnon, Catriona Kirk, Jason Li, Sofian Martinais

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

Geometry is Key: Mathematical Modeling of Whiskers and Antennae

Whiskers, antennae, geometry, Euler spiral, sensing

Yen Chuang, Giselle De Leon, Anna Xuyao Shi, Ella (Yaxin) Wang

The Life Cycle of the Whiskers and Antennae of Animals and Insects 

Whiskers, antennae, barbels, sensing, receptors, morphology, regeneration

Yen Chuang, Giselle De Leon, Anna Xuyao Shi, Ella (Yaxin) Wang

Exploration of Mathematical Laws Governing Claws and their Applications within Flying Animals, Terrestrial Pests, and Amniotes

Mathematical Modeling, Claws, Logarithmic Growth and Spiral, Niche, Biomimicry, Digging, Predator-Prey

Liela Andringa, Alan Fu, Alex Jung, Oscar Cruz Hernandez