Bioengineering Hyperbook

Department of Bioengineering


Category: Geometry

Mathematical Space-Filling Models and Applications in Adipose Tissue

Adipose tissue, fat, space-filling models, tiling, packing, lipid droplets

Josh Negenman, Milana Farah, Michelle Sayeh, Edward Tong

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 Complexity of Spines and their Mathematical Connections

Spines, structural modelling, Laplace pressure, defense, Voronoi patterns

Coty Ma, Alexandra Schuck, Éloïse Soderböm, Dan Voicu

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

A Biochemical Review of Exoskeletal and Muscular Pincer Components and Biomimetic Applications

Bouligand, Pincer, Calcium Carbonate, Stress, Mineralization, Molting, Biomimicry

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

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

Review of the Mechanical, Structural, and Physical Properties of Pincers: An Evolutionary Wonder

Pincer, Defense Mechanisms, Chelae, Evolution, Bouligand, Hardness/Elasticity

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

Evolution of Human Models Representing the Complexity of the Jaw and its Functionalities

Jaws, Lever, Biomechanics, Kinematic Chains, Evolution, Feeding Mechanisms

Michelle Levy, Riwa Itani, Irene Simier, Joseph Marsilio

Mathematical Modeling of Animal Tongues

Tongues, Mathematical Modeling, Elastic Strain-Energy, Capillary Siphon, Biomechanics, Algorithm, Fluid Dynamics

Shunyuan Xiao, Marc Srour, Sophie Allard

Mechanical Overview of Mollusk Shell Formation and Structure

Mollusks, Shells, Stress/Energy Dissipation and Minimization, Biomineralization, Adaptation

Elliott Cole, Gabriel Linaje-Ferrel, Mikaela Phung, Salma Oraichi

Reaction Diffusion Patterns in Jaws of the Animal Kingdom

Reaction Diffusion Patterning, Denticles, Morphogenesis, Teeth, Jaws, Growth

Michelle Levy, Riwa Itani, Joseph Marsilio, Irene Simier Requejo

Mathematical Models of Molluscan Shell Patterns and Morphology

Molluscs, Shells, Growth, Mechanical Energy Dissipation, Reaction Diffusion, Pigmentation, Mathematical Modeling

Elliott Cole, Gabriel Linaje-Ferrel, Salma Oraichi, Mikaela Phung