A Mathematical Model of Bacterial Aerotaxis - Humboldt State ...

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Numerical experiments with ˜ Lmax and ˜ Lmin 10 8 6 4 2 10 8 6 4 2 ~ L max ~ L max =4% =7% ~ Lmin =0% 0.5 1 1.5 2 ~ Lmin =0.5% ~ Lmin =0% ~ L max =7% 0.5 1 1.5 2
10 9 8 7 6 5 4 3 2 1 d Quasi steady state solution h 0.5 1 1.5 2 B b 0 � L0 kb0 • d ≈ d ≈ 0.8 mm for L0 = 0.2 and d ≈ 1.7 mm for L0 = 1 • h ≈ 2Lmax � kb0 kb0 L0 h ≈ 0.4mm for L0 = 0.2 and h ≈ 0.2mm for L0 = 1
Page 1 and 2: A Mathematical Model of Bacterial A
Page 3 and 4: • Chemotaxis and Aerotaxis Outlin
Page 5 and 6: • Chemotaxis and Aerotaxis Outlin
Page 7 and 8: Concentration Conventional Chemotax
Page 9 and 10: Adaptation in conventional chemotax
Page 15 and 16: Keller-Segel chemotaxis model
Page 17 and 18: Keller-Segel chemotaxis model ∂b
Page 19 and 20: In small spatial gradients we can s
Page 21 and 22: In small spatial gradients we can s
Page 23 and 24: −1 Reversal frequency (s ) 0.7 0.
Page 25 and 26: Capillary size: 50 × 2 × 0.1mm Ox
Page 27 and 28: 8 7 6 5 4 3 2 1 0 −1 Dashed line:
Page 29 and 30: Modeling goals and assumptions Goal
Page 35 and 36: ∂r ∂t ∂l ∂t Our model = −
Page 37 and 38: Proton Motive Force (PMF) High left
Page 39 and 40: Proton Motive Force (PMF) High left
Page 41 and 42: Numerical results Invasion of oxyge
Page 43 and 44: 2.5 2 1.5 1 0.5 Bacteria: solid lin
Page 45 and 46: 7 6 5 4 3 2 1 Bacteria: solid line,
Page 47: 7 6 5 4 3 2 1 Bacteria: solid line,
Page 51 and 52: Summary of results • model suppor
Page 53 and 54: Summary of results • model suppor
Page 55 and 56: Slow adaptation Fast adapation Chem
Page 57 and 58: Thank you! Bori Mazzag Mathematics
Page 59 and 60: Equilibrium position for fast movin

A Mathematical Model of Bacterial Aerotaxis - Humboldt State ...

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