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Table 1 Geometrical parameters of the hook curve

From: "Hook"-calibration of GeneChip-microarrays: Chip characteristics and expression measures

Hook parameter symbol typical range characteristics
Start point Σ(0) ≈ Σstart, 1.0 – 2.5 Non-specific signal
  Δ(0) ≈ Δstart 0.0 – 0.15 PM/MM-gain (N)
End point Σ(∞), 3.5 – 4.8 Saturation signal
  Δ(∞) 0 PM/MM-gain (as)
Width β = Σ(∞)-Σ(0) 2.2 – 3.2 Measuring range, non- specific binding strength in logarithmic scale
asymptotic height α 0.75 – 1.1 PM/MM-gain (S)
decay constant λ 0.5 – 1.5 Decay rate of the density distribution of the Σ-values; this S/N-index characterizes the mean ratio of specific and non- specific binding (S/N- ratio) in the logarithmic scale.
Expression index φ = (β - 1 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqaIXaqmaeaacqaIYaGmaaaaaa@2E55@ Δ(0)) - λβ - λ 1.5 – 2.5 Mean specific signal in logarithmic scale