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Table 2 Sensitivity of band location and width on parameters. Only one parameter is varied at a time, with all others at their base values as in Table 1. For ease of comparison, base value of each parameter is listed, which produces location 406, width 132 μm. The % changes are relative to base values. Columns 4 and 6 show sensitivity of location and width on each parameter. “Bpeak” in column 7 is the maximum bacterial concentration at 300 s (normalized by the initial concentration Bo). “Smoothness” in column 8 refers to the appearance of left- and right-side of band location vs time, as seen in Fig. 2

From: Modeling aerotaxis band formation in Azospirillum brasilense

Parameter % change Location(μm) % change Width(μm) % change Bpeak Smoothness
Bo=1×109 cells/ml +50% 352 −13% 114 −14% 2.6 Smooth
Bo=7×108 cells/ml base value 406 132 2.9 Smooth
Bo=3×108 cells/ml −50% 582 +43% 156 +18% 3.9 Smooth
Co=30% +50% 527 +30% 122 −8% 3.2 smooth
Co=21% base value 406 132 2.9 Smooth
Co=10% −50% 227 −44% 133 1% 2.6 smooth >220s
D=2.5×103μm2/s +25% 449 +11% 140 +6% 3.1 Smooth
D=2.0×103μm2/s base value 406 132 2.9 Smooth
D=1.5×103μm2/s −25% 359 −12% 114 −13% 2.7 Smooth >200s
K=6×10−9μM ml/s/cell +50% 344 −15% 114 −14% 2.6 Smooth >100s
K=4×10−9μM ml/s/cell base value 406 132 2.9 Smooth
K=2×10−9μM ml/s/cell −50% 547 +32% 149 +13% 3.7 Smooth >110s
v= 30 μm/s +50% 429 +6% 144 +9% 2.4 smooth
v= 20 μm/s Base value 406 132 2.9 Smooth
v= 10 μm/s −50% 382 −6% 98 −26% 4.2 Smooth >200s
Fmax= 0.85 /s +30% 387 −5% 125 −5% 3.5 Smooth
Fmax= 0.65 /s Base value 406 132 2.9 Smooth
Fmax= 0.45 /s −30% 445 +10% 133 0% 1.9 smooth
Fmin= 0.45 /s +30% 426 +5% 141 +7% 2.4 Smooth
Fmin= 0.35 /s Base value 406 132 2.9 Smooth
Fmin= 0.25 /s −30% 387 −5% 117 −11% 3.5 Smooth
Cmax= 3% +50% 383 −6% 159 +21% 2.6 smooth
Cmax= 2% Base value 406 132 2.9 Smooth
Cmax= 1% −50% 457 +13% 94 −29% 3.4 smooth
Cmin= 0.45% +50% 391 −4% 115 −13% 3.2 Smooth
Cmin= 0.3% Base value 406 132 2.9 Smooth
Cmin= 0.15% −50% 437 +8% 148 +12% 2.5 smooth
\(\widehat {C}_{max}\)= 15% +50% 402 −1% 126 −5% 3.2 Smooth >120s
\(\widehat {C}_{max}\)= 10% Base value 406 132 2.9 Smooth
\(\widehat {C}_{max}\)= 5% −50% 418 +3% 125 −6% 2.4 smooth
\(\widehat {C}_{min}\)= 0.015% +50% 406 0% 132 0% 2.9 Smooth
\(\widehat {C}_{min}\)= 0.010% Base value 406 132 2.9 Smooth
\(\widehat {C}_{min}\)= 0.005% −50% 406 0% 132 0% 2.9 Smooth