Table 2

Details of calculations and results of the decision analysis for a cohort of 1000 men comparing TRUS-guided biopsy with mpMRI and MRI-targeted biopsy

TRUS-guided biopsy for allmpMRI then MRI-targeted biopsy
Number of biopsies1000
(all men)
600
= P(MRI+|D+)+P(MRI+|D)
= (MRIsens*prev*no_in_cohort)+
((1-MRIspec)*(1-prev)*no_in_cohort))
= (0.8*0.5*1000)+((1−0.6)*(1−0.5)*1000)
Patients with clinically significant cancer and correctly identified (true positive)250
=P(TRUS+|D+)
=TRUSsens*prev*no_in_cohort
=0.5*0.5*1000
320
=P(MRI+|D+).P(MRITB+|D+)
=MRIsens*MRITBsens*prev*no_in_cohort
=0.8*0.8*0.5*1000
Patients with clinically significant cancer and wrongly identified (false negative)250
=p(TRUS|D+)
=(1-TRUSsens)*prev*no_in_cohort
=(1−0.5)*0.5*1000
180
=P(MRI|D+)+P(MRI+|D+).P(MRITB|D+)
=((1-MRIsens)*prev*no_in_cohort) +
(MRIsens*(1-MRITBsens)*prev*no_in_cohort)
=((1−0.8)*0.5*1000)+(0.8*(1−0.8)*0.5*1000)
Patients with insignificant prostate cancer or no prostate cancer and correctly identified (true negative)450
=P(TRUS|D)
=TRUSspec *(1-prev)*no_in_cohort
=0.9*(1−0.5)*1000
480
=P(MRI|D)+P(MRI+|D).P(MRITB|D)
=(MRIspec*(1-prev)*no_in_cohort) +
((1-MRIspec)*MRITBspec*(1-prev)*no_in_cohort)
=(0.6*(1−0.5)*1000)+((1−0.6)*0.9*(1−0.5)*1000)
Patients with insignificant prostate cancer or no prostate cancer and wrongly identified (false positive)50
=P(TRUS+|D)
=(1-TRUSspec)*(1-prev)* no_in_cohort
=(1−0.9)*0.5*1000
20
=P(MRI+|D).P(MRITB+|D)
=(1-MRIspec)*(1-MRITBspec)*(1-prev)*no_in_cohort
=(1−0.6)*(1−0.9)*(1−0.5)*1000
  • ‘prev’ – prevalence; ‘no_in_cohort’ – number of men in cohort; ‘TRUSsens’ – sensitivity of TRUS-guided biopsy; ‘TRUSspec’ – specificity of TRUS-guided biopsy; ‘MRIsens’ – sensitivity of mpMRI; ‘MRIspec’ – specificity of mpMRI; ‘MRITBsens’ – sensitivity of MRI-targeted biopsy; ‘MRITBspec’ – specificity of MRI-targeted biopsy.