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A Tour Through the Many Length Scales of
Mathematical Biology
Subcellular: Chromosome separation during mitosis
Membrane shapes/fluctuations\patterns
Cellular:
Bacterial swimming
Flagellar beating
Algal swimming
Multicellular: Chemotaxis/Bioconvection/Slime mold aggregation
Patterns:
Reaction-diffusion
Phyllotaxis
Flocks
Organismal: Tendril perversion in plants
Mitosis
Erythrocytes (Red Blood Cells)
Artificial Lipid Vesicles – Membrane Tethers
D. Fygenson (UCSB)
Fluctuating Lipid Vesicle
Fluctuating Lipid Vesicles
“Rafts” on GUV (Giant Unilamellar Vesicle)
W. Webb (Cornell)
The Life of Bacteria
Swimming Bacteria (E. coli)
Manipulating Bacterial Flagella With an Optical Trap
Chlamydomonas reinhardtii
Structure of Flagella & the Flagellation Constraint
Microtubule
Organising Centre
Chromosomes
Noisy Synchronization
Experimental methods:
• Micropipette manipulation
with a rotating stage
for precise alignment
• Up to 2000 frames/sec
• Long time series
(50,000 beats or more)
• Can impose external
fluid flow
Cell body
Micropipette
Frame-subtraction
Volvox In Its Own Frame
Tracking microscope
in vertical orientation
Laser sheet illumination
of microscpheres
Metachronal Waves in Volvox (Side View)
Orbiting Volvox
Neutrophil Phagocytosis
Bacterial Chemotaxis (Oxygentaxis)
Bioconvection
Chemical Waves
Dictyostelium discoideum
Classical Turing Patterns
Unconventional Patterns
Tendril Perversion
Phyllotaxis
Flocking (Starlings Above Rome)