Bioengineering Hyperbook

Department of Bioengineering


Category: Computation and Mathematical Modeling

Functional Mechanics of the Elephant and Butterfly Proboscis

Trunk, proboscis, kinematics, cylinders, hydraulics, muscles, suction

Han Ru Liu, Letizia Marello, Liam Sterne, Kori Zhang

Mathematical Modeling of Marine Suction Cups

Suction cups, mathematical modelling, elasticity, geometry, biomimicry

Juan Manuel Rocha Angel, Mika Chang, Emily Martin, Tokiniaina Raharison

Proboscis Geometry, Allometry and the Mathematical Beauty of Spirals in Nature

Proboscis, geometry, spirals, allometry, Fibonacci sequence, Golden ratio

Han Ru Liu, Letizia Marello, Liam Sterne, Kori Zhang

Using Mathematical Principles to Gain a Deeper Understanding of the Form and Function of Hooves

Hooves, ungulates, Golden ratio, mathematical modelling, Kepler's triangle

Yitian Zhang, Claire Driedger, Marshall Moussavi, Emmanuel Menacho Tardieu

An Evolutionary Analysis of the Chemical Composition of Marine Suction Cups

Suction cups, collagen, evolution, cytoskeleton, biochemistry, sensing

Juan Manuel Rocha Angel, Mika Chang, Emily Martin, Tokiniaina Raharison Ralambomihanta

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

Mechanical Analysis of Animal Horns

Horns, elasticity, material properties, structural organization, force distribution, anisotropy

Lily Trestan, Rachel Jung, Toufic Jrab, Victor Novakov

A Mathematical Analysis of Animal Horns

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

Lily Trestan, Rachel Jung, Toufic Jrab, Victor Novakov

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

Comparison of Antenna and Whisker Functions in Different Environments

Antennae, whiskers, sensing, signal processing, mechanosensing

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