Electrolytes
Na+ (corrected for hyperglycemia):
-
Corrected Na+ = measured Na+ + [(glucose – 100) x 0.024]
Ca2+ (corrected for hypoalbuminemia):
-
Corrected Ca2+ = [(4 – serum albumin) x 0.8] + measured Ca2+
Free Water Deficit:
-
Water deficit = wt (kg) x k x [(plasma Na+ / 140) – 1]; where k = 0.5 for males and 0.4 for females
Osmolality:
-
Calculated Osm = (2 x Na+) + (glucose / 18) + (BUN / 2.8) + (EtOH / 4.6)
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normal: 270–290
-
Osm gap = measured Osm – calculated Osm {normal < 10}
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>10 is abnormal: caused by renal failure, methanol, ethylene glycol, sorbitol, mannitol, isopropanol, radiocontrast dye
Anion Gaps:
-
Serum AG = [Na+] – [Cl-] – [HCO3] {normal 10-14}
-
Corrected AG (for hypoalbuminemia)
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Corrected AG = serum AG + [(4 – serum albumin) x 2.5]
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∆AG = (AG – 12) + HCO3 {normal 23–30}.
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∆AG >30: concomitant metabolic alkalosis (excessively high HCO3).
-
∆AG <23: concomitant non-AG metabolic acidosis (excessively low HCO3).
-
Urine AG = U[Na+] + U[K+] – U[Cl-]
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NH4+ is the major unmeasured cation, so a strongly negative UAG suggests high urine NH4+.
-
Urine AG <0: GI HCO3 loss.
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Urine AG >0: Renal HCO3loss (RTA).
Body Fluid / IV Fluids
Body fluid composition:
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Total Body Water = 0.6 x wt (kg) for males 0.5 x wt (kg) for females
-
Extracellular fluid (ECF) = 0.2 x wt (kg)
-
Intravascular: 1/3 ECF
-
Interstitial: 2/3 ECF
-
Intracellular fluid (ICF) = 0.4 x wt (kg)
IVF and tonicity:
|
|
|
|
|
|
|
Plasma |
142 |
4 |
104 |
27 |
29 |
306 |
NS |
154 |
- |
154 |
- |
- |
308 |
D5W |
- |
- |
- |
- |
- |
278 |
D5 1⁄2NS |
77 |
- |
77 |
- |
- |
421 |
1 amp NaHCO3 |
50 |
- |
- |
50 |
- |
100 |
20 mEq KCl |
- |
20 |
20 |
- |
- |
40 |
-
e.g. 1⁄4NS + 20 mEq KCl + 1⁄2 amp NaHCO3 = (308/4) + 40 + (100/2) = 167 mOsm/L, or roughly equivalent in tonicity to 1⁄2NS
IVF effect on plasma Na:
-
∆Na per liter IVF given = [NaIVF(mEq/l) + KIVF(mEq/l) – Naserum (mmol/l)] / [Total Body Water + 1]
Renal
Creatinine Clearance:
-
Estimated CrCl (Cockcroft-Gault Equation)* = [(140 – age) x (wt in kg)] / [serum Cr x 72]
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*multiply by 0.85 for females
-
{normal 100–125 ml/min (M) or 85–105 ml/min (F)}
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Measured CrCl = [urine Cr x urine volume (ml/24hr)] / [serum Cr x 1440 (min/24hr)]
Fraction Na excretion:
-
FENa = [(urine Na+ / serum Na+) x 100] / [(urine Cr / serum Cr)]
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<1% suggests pre-renal
-
FENa interpretable only in oliguric states (UOP < 400 cc/day)
Transtubular Potassium Gradient:
-
TTKG = (urine K+ / serum K+) / (urine Osm / serum Osm)
-
With hyperkalemia:
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< 7 suggestive decreased aldosterone activity.
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> 7 suggestive effective volume depletion with normal aldosterone activity.
Hemodynamics
Cardiac Output:
-
CO = HR x stroke volume
-
CI = CO / BSA (in m2); where BSA= √([ht (cm) x wt (kg)] / 3600)
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Fick Technique: CO = estimated O2 consumption or VO2 (ml/min)* / arteriovenous O2 difference**
Resistance:
-
SVR = [(MAP – CVP) / CO] x 80
-
{normal 700–1600 dynes*s/cm5}
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PVR = [(MPAP – PCWP) / CO] x 80
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{normal 20–120 dynes*s/cm5}
Pressure:
-
Pulse Pressure = SBP – DBP
-
MAP = [SBP + (DBP x 2)] / 3
Pulmonary
Alveolar-arterial O2 gradient:
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A–a O2 gradient = [FiO2 x (pAtm – pH2O)] – (pCO2 / R) – pO2
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= [FiO2 x (760 – 47)] – (pCO2 / 0.8) – pO2
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= 150 – (pCO2 / 0.8) – pO2
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{normal 5–25 or age/3} *at sea level on RA
Statistics
|
Disease (+) |
Disease (–) |
Test (+) |
A True Positive |
B False Positive |
Test (–) |
C False Negative |
D True Negative |
-
Sensitivity = A / (A + C)
-
Specificity = D / (D + B)
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Positive Predictive Value = A / (A + B)
-
Negative Predictive Value = D / (C + D)
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Positive Likelihood Ratio = sensitivity / (1 – specificity)
-
Negative Likelihood Ratio = (1 – sensitivity) / specificity
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Number needed to treat (NNT) = 1 / (absolute risk reduction)
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