Formulas Flashcards
Ponderal index
PI = [weight(g) x 100] / [crown-heel length(cm)]^3
Laplace‘s law
P = (2T)/R
P: Pressure
T: Surface tension
R: Alveolar radius
Anatomic dead space calculation
Vda = [(end tidal CO2 - expired CO2) / end tidal CO2] x tidal volume
Uses Bohr equation
Physiologic dead space calculation
Vdps = [(PaCO2 - expired CO2) / PaCO2] x tidal volume
Uses Bohr equation
Ohm’s Law
R = change in P/change in flow R = P / Q
Reynolds number
R = (length x viscosity) / (radius)^4 = airway resistance
Low R a/w laminar flow
High R a/w turbulent flow
Lung compliance
CL = change in volume / change in pressure CL = V/P
A measure of elasticity or distensibility
Static compliance: Measured during no gas flow, reflects the elastic properties of the lung
Dynamic compliance: Measured during continuous breathing, reflects elastic as well as resistive components
Lung elastance
E = 1/C
1/compliance
Time constant
TimeC = Resistance x Compliance
TC = R x CL
Time needed to deflate 63% of volume in lungs
Increased resistance = more Time constants needed
Low in acute RDS
Bigger animals need longer time constants; smaller animals need shorter time constants
3X time constants to equilibrate 95%
FRC by helium dilution
Initial [He] x V1 = End [He] x (V1 + V2)
V2 = FRC
Shunt equation
Qp/Qs = (Ao O2 sat - MV O2 sat) / (PV O2 sat - PA O2 sat)
Ao = aorta MV = mixed venous (SVC) PV = pulm vein PA = pulm art
Oxygenation index
OI = [(MAP x FiO2) / PaO2] x 100
Alveolar arterial gradient of oxygen
A-a gradient = [FiO2 (Patm - Ph20)] - (paCO2/0.8) - (paO2) Patm: atmospheric pressure, usully 760 PH2O: 47 mmHg 0.8: respiratory quotient
Altitude comparison
(Patm1 - 47) x FiO2(1) = (Patm2 - 47) x FiO2(2)
Oxygen carrying capacity
CaO2 = [Hb x 1.34 x O2sat] + [0.003xPaO2]
Can leave off the PaO2 because so low
In fetus, hb x 1.37 x O2sat
Fick’s principal
Measures O2 consumption (VO2)
VO2 = CO (dL/min) x (CaO2 - CvO2)
CO = cardiac output = HR x SV
VO2 = CO x (1.34 x hb x [art sat - ven sat])
Henderson Hasselbach equation
Hydrogen ion conc = (24 x pCO2) / bicarb conc
Mean airway pressure
MAP = k(PIP-PEP) x [IT/(IT+ET)] + PEEP
Cardiac output
CO = HR x SV CO = systolic BP / total pulm vasc resist (Flow(Q) = P / R)
Pulmonary vascular resistance
PVR = (mean PA pres - mean LA pres) / Qp Qp = pulm blood flow
Systemic vascular resistance
SVR = (mean A pres - mean RA pres) / Qs Qs = systemic blood flow
Shunt equation
Qp/Qs = pulm BF/system BF Qp/Qs = (Ao O2 sat - MV O2 sat) / (PV O2 sat - PA O2 sat)
Cerebral blood flow
CBF = CPP/CVR (Q = P/R) CPP = Mean art BP - ICP
OR… CBF = (MAP-JVP)/CVR
Plasma osmolality
Posm = (2xNa) + (BUN/2.8) + (Gluc/18)
Sodium deficit
Na def = (Na desired - Na curr) x 0.6 x wt
Anion gap
Na - Cl + HCO3
Fractional excretion of sodium
FeNa = [(Una x PCr) / (UCr x PNa)] x 100
<1% normal
1-2.5% pre-renal
>3% intrinsic renal failure
Tubular reabsorption of phosphate
TRP = 1 - [(Uphos x PCr) / (UCr x Pphos)] x100
Estimated GFR
GFR = (0.45 x length(cm)) / plasma Cr
0.33 for preterm infants instead of 0.45
Renal clearance
Renal CL (mL/min) = (U x V) / P
= (Ucr x volume) / Pcr
Exchange equations
Polycythemia
Blood vol exchanged = Blood vol x [(Hct obs - Hct desired) / Hct obs]
Blood V = wt x 80-100 mL/kg