equations Flashcards
Sensitivity
Sensitivity = TP / (TP + FN)
Specificity
Specificity = TN / (TN + FP)
Positive predictive value
PPV = TP / (TP + FP)
Negative predictive value
NPV = TN / (TN + FN)
Relative risk
[a/(a+b)]/[c/(c+d)]
Attributable risk
[a/(a+b)]-[c/(c+d)]
Number needed to treat
1/absolute risk reduction (ARR), 1/[Event Rate (control) - Event Rate (treatment)]
Number needed to harm
1/attributable risk increase (ARI), 1/[Event Rate (treatment) - Event Rate (placebo)]
Hardy-Weinberg equilibrium
p(exp)2 + 2pq + q(exp)2 = 1 , p + q = 1
Henderson-Hasselbalch equation
pH = pKa + log ([HCO3-]/ 0.03 PCO2)
Volume of distribution
Vd= (amount of drug in the body) / (plasma drug concentration)
Clearance
CL = (rate of elimination of drug) / (plasma drug concentration) , or Vd x Ke (elimination constant)
Half-life
t1/2 = 0.7 x Vd/CL
Loading dose
LD = Cp x Vd/F
Maintenance dose
MD = Cp x CL/F
Cardiac output
CO = stroke volume x heart rate, CO = Rate of O2 consumption/(arterial O2 content - venous O2 content)
Mean arterial pressure
MAP = cardiac output x total peripheral resistance, MAP = 1/3 systolic + 2/3 diastolic
Stroke volume
SV = end diastolic volume - end systolic volume
Ejection fraction
EF = (stroke volume / end diastolic volume) x 100
Resistance
R = driving pressure/flow , R = 8 x (viscosity) x length / (pi x r^4)
Net filtration pressure
Pnet = (Pc - Pi) - (pi c - pi i)
Glomerular filtration rate
GFR = U inulin x (V/ P inulin) = C inulin
Glomerular filtration rate (In terms of hydrostatic and oncontic pressures)
GFR = Kf [(P GC - P BS) - (pi GC - pi BS)]
Effective renal plasma flow
ERPF = U PAH x (V/ P PAH) = C PAH
Renal blood flow
RBF = RPF / (1 - Hct)
Filtration fraction
FF = GFR/RPF
Physiologic dead space
VD = VT x [(PaCO2 - PeCO2) / PaCO2]
Renal Clearance
C = U x V/P
Pulmonary vascular Resistance
PVR=[P(pulm artery) - P(L atrium)]/CO
Alveolar gas equation
PAO2 = PIO2 - PaCO2/R
Odds ratio (for case-control studies)
Odds ratio = (a/c)/(b/d) = (a x d)/(b x c)
BMI - body mass index
BMI = weight in kg / (height in meters)exp2
Alveolar Ventilation
Alveolar ventilation = (tidal volume - dead space) x Resp Rate