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. Author manuscript; available in PMC: 2020 Oct 1.
Published in final edited form as: Eur Radiol. 2019 Apr 1;29(10):5367–5377. doi: 10.1007/s00330-019-06168-x

Table 2:

Tabular form of mathematical prediction model’s (MPMs) base equations. Risk variables are categorized into demographical (subject reported) and radiological (clinician reported) factors. Units are coded in clinical terms; for use in the equation(s), sex (F=1,M=0) and presence (Y=1,N=0) are numerically coded. To obtain a prediction value for a given MPM, multiply each coeffiecnt by the subject’s risk variable value and take the summation with the base intercept/offset. The resulting number is the x in the logistic equation: êx/((1 + êx)) = risk prediction. For example, performing the VA MPM prediction for a 62-year-old, never-smoker, with a 10mm nodule would yield x = (62*0.0779 + 0*2.061 + 0*0.0567 + 10*0.112 – 8.404) = −2.454; plugging into the logistic equation would yield a risk prediction = 0.079.

Risk variable Units MPM Coefficient
MC VA PU BU
Demographical Age Years 0.0391 0.0779 0.07 0.0287
Sex F/M 0.6011
Ever Smoker Y/N 0.7917 2.061
Time of smoking cessation Years 0.0567
Cancer history Y/N 1.3388
Family history of cancer Y/N 1.267
Family history of lung cancer Y/N 0.2961
Radiological Emphysema Y/N 0.2953
Upper lobe Y/N 0.7838 0.6581
Diametera MM 0.1274 0.1 12 0.0676 −5.3854a
Spiculation Y/N 1.0407 0.736 0.7729
Smooth Border Y/N −1.408
Calcification Y/N −1.615
Nodule type Solid : Y/N 0
Part Solid: Y/N 0.377
Non-Solid: Y/N −0.1276
Nodule count Count −0.0824
Base Intercept/Offset −6.872 −8.404 −4.496 0.2761

Definition of abbreviations: MPM – mathematical prediction model; MC – Mayo Clinic; VA – Veteran’s Affairs; BU – Brock University; PU – Peking University; F – Female; M – Male; Y – Presence; N – Absence.

a

In the BU model, nodule size is defined by (diameter in millimeters/10)^−0.5