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 |