Formulae

 

 

 

Cardiology

Digoxin Dose (mg/day) = (((0.2 x CrCl) + 14) x (wgt in kg))/ 10,000

QT corrected = QT/ (RR (seconds) )

Infectious Disease

Aminoglycoside Dosing

Step 1: Select loading dose in mg/kg (lean weight) based on peak level desired as below
     Loading dose Expected peak serum level based on 30' IV infusion
          2.0 mg/kg 6-8 mcg/ml
          1.75 mg/kg 5-7 mcg/ml
          1.5 mg/kg 4-6 mcg/ml
          1.25 mg/kg 3-5 mcg/ml
          1.0 mg/kg 2-4 mcg/ml
Step 2: Select maintenance dose as a percentage of the total loading dose, to continue the above noted peak serum levels, based on the patient's creatinine clearance and desired dosing interval

% of Loading Dose required for dosage interval selected

Creatinine clearance

8 hours

12 hours

24 hours

90 90 - -
80 88 - -
70 84 - -
60 79 91 -
50 71 87 -
40 66 80 -
30 57 72 92
25 51 66 86
20 45 59 80
15 37 50 75
10 29 40 64
7 24 33 55
5 20 23 42
2 14 20 35
0 9 13 25

Metabolism

 

BSA(m2)= Wgt (kg)0.245 x Hgt (cm)0.275 x 0.007184

Estimated Serum Osmolality = (2 x (Na+ + K+) ) + (glucose/18) + (BUN/2.8)

Pulmonary

H+ = 24 X (PCO2/HCO3)

ΔP(A-a)O2=((PAtm - 47)FIO2) - ((PACO2/RQ) - PaO2

pH= 6.1 + log (HCO3/(0.03 x PCO2))

 

Acid Base  see also Acid Base page

 

Acidosis

Alkalosis
Metabolic ΔPCO2/ΔHCO3= 1-1.5 0.5-1.0
  1.2 X ΔHCO3= PCO2 0.5 X ΔHCO3= PCO2
Respiratory  
     Acute ΔHCO3/ΔPCO2= 1/10 or 1/8 0.1-0.3
     Chronic ΔHCO3/ΔPCO2= 3/10 to 4/10 0.2-0.5

 

Renal

Anion Gap= Sodium - (chloride + bicarbonate)  normal (8-12)

Creatinine Clearance

Estimated Creatinine Clearance:

Male:  (140-age in years) X weight (kg)
            serum creatinine (mg/dL) X 72

Female:  (140-age in years) X weight (kg) X0.85
            serum creatinine (mg/dL) X 72

Measured Creatinine Clearance:

urine creatinine (mg/dL) X 24° urine volume (liters)
         1.44 X serum creatinine (mg/dL)

Fractional Excretion of Sodium

urine sodium (mg/dL) X serum creatinine    X100
serum sodium (mg/dL) X urine creatinine

Milliequivalents

1 gram sodium = 43 meq
1 gram potassium = 27 meq

Potassium

Total body Potassium:

Male: 45 meq/kg
Female: 35 meq/kg

Effect of pH:   ΔK/ ΔpH = 0.7/0.1

Total body deficit ( in meq) = (4.0 - K) X (wgt in kg) X 5.3

Renal Failure Indices 

Index Units/Formula Prerenal Renal
Urine osmolality mOsm/kg H2O >500 <350
Urine Sodium mEq/Liter <20 >40
Urine/Plasma urea nitrogen   >8 <3
Urine/Plasma creatinine ratio   >40 <20
Renal Failure Index UNa/(U/PCr) <1 >1
Fractional Excretion of Filtered Sodium (U/PNa)/(U/PCr) x100 <1 >1

 

 

 

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