Equations Flashcards
Sensitivity
TP/(TP + FN)
1 - FN rate
Screening
Specificity
TN/(TN + FP)
1 - FP rate
Confirmation
Positive predictive value
PPV = TP/(TP + FP)
High pretest probability = high PPV
Proportion of positive test results that are true positive
Negative predictive value
NPV = TN/(FN + TN)
High pretest probability = low NPV
Proportion of negative test results that are true negative
Odds ratio (for case-control studies)
(a/c) / (b/d) = ad / bc
Odds that group with the disease (cases) was exposed to a risk factor (a/c) divided by odds that group without disease (controls) was exposed (b/d)
Relative risk (for cohort studies)
[a/(a+b)] / [c/(c+d)] Risk in exposed/Risk in unexposed Risk of developing disease in exposed group divided by risk in unexposed group 21 If prevalence is low, RR ~ OR
Attributable risk
a/(a+b) - c/(c+d)
Number needed to treat
1/absolute risk reduction
Number needed to harm
1/attributable risk
Hardy-Weinberg equation
p^2 + 2pq + q^2 = 1
p + q = 1
Volume of distribution
Vd = amount of drug in body/plasma drug concentration
Half-life
t1/2 = (0.693 x Vd) / CL
Drug clearance
CL = rate of elimination of drug/plasma drug concentration CL = Vd x Ke (elimination constant)
Loading dose
LD = (Cp x Vd) / F
Maintenance dose
D = (Cp x CL x tau) / F
Cardiac output
CO = rate O2 consumption/(arterial O2 content - venous O2 content) CO = SV x HR
Mean arterial pressure
MAP = cardiac output x total peripheral resistance MAP = CO x TPR MAP = 2/3 diastolic + 1/3 systolic
Stroke volume
SV = EDV - ESV
Ejection fraction
EF = SV/EDV = (EDV-ESV)/EDV
Resistance
R = (Driving pressure [Change in P]) / (Flow [Q]) R = (8 x viscosity x length) / (pi x r^4)
Net filtration pressure
Pnet = [(Pc - Pi) - (pic = pii)] Jv = net fluid flow = Kf x Pnet
Renal clearance
Cx = UxV/Px
Glomerular filtration rate
GFR = Uinulin x V/Pinulinin = Cinulin GFR = Kf [(Pgc - Pbs) - (pigc - pibs)
Effective renal plasma flow
ERPF = Upah x V/Ppah = Cpah
Renal blood flow
RBF = RPF/(1 - Hct)
Filtration fraction
FF = GFR/RPF
Henderson-Hasselbalch equation (for extracellular pH)
pH = 6.1 + log ([HCO3-]) / (0.03Pco2)
Winters formula
Pco2 = 1.5 [HCO3-] + 8 +/- 2
Physiologic dead space
VD = VT x (PaCO2 - PECO2) / PaCO2
Pulmonary vascular resistance
PVR = (P pulm artery - P L atrium) / cardiac output
Alveolar gas equation
PAO2 = PIO2 - PaCO2/R