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58  Fick Equation And Pa Catheter Principles

58.1 What this covers

  • Direct Fick
  • Indirect Fick
  • Thermodilution

58.2 Learning objectives

  • Direct Fick
  • Indirect Fick
  • Thermodilution
  • DO2
  • Pressures
  • Central line
  • PA Cathether

58.3 Bottom line / summary

  • VO2 (CO Ca) - (CO Cv)
  • Inspired O2 vs expired O2 measured (e.g.
  • in a stress test) to calculate VO2.
  • Then, you calculate the cardiac output
  • Estimate CO by assuming a value for 1 of: VO2 (using a nomogram), CaO2 (using SpO2), or CvO2 (using EtCO2)

58.4 Approach

  1. VO2 amount of oxygen consumed.
  2. CO cardiac output
  3. Ca, Cv content of O2 in the arterial circulation and venous circulation (Hb BO2 % saturation) + (0.0032 PaO2), where BO2 the maximum amount of oxygen binding in a unit of blood, usually 1.39.
  4. CVP ( R heart filling pressure )
  5. MAP ( pressure generated by the left heart)

58.5 Red flags / when to escalate

  • DO2 (Deliver of oxygen) and the DO2:VO2 ratio is particularly useful in differentiating types of shock.

58.6 Common pitfalls

  • TODO: Capture common errors or missed steps.

58.7 References

  • https://link.springer.com/article/10.1186/cc9348
  • https://photos.collectednotes.com/photos/5187/faf12185-ce07-40b9-94d8-f2ebe92c15e1
  • https://pubmed.ncbi.nlm.nih.gov/33564995/
  • https://pubmed.ncbi.nlm.nih.gov/33646499/

58.8 Source notes

58.8.1 Fick Equation And Pa Catheter Principles

59 Fick Equation and PA Catheter Principles

  • VO2 = amount of oxygen consumed.
  • CO = cardiac output
  • Ca, Cv = content of O2 in the arterial circulation and venous circulation = (Hb * BO2 * % saturation) + (0.0032 * PaO2), where BO2 = the maximum amount of oxygen binding in a unit of blood, usually 1.39.

VO2 = (CO * Ca) - (CO * Cv)

rearranged to

CO = VO2 / (Ca - Cv)

59.1 Direct Fick

Inspired O2 vs expired O2 measured (e.g. in a stress test) to calculate VO2. Then, you calculate the cardiac output

59.2 Indirect Fick

Estimate CO by assuming a value for 1 of: VO2 (using a nomogram), CaO2 (using SpO2), or CvO2 (using EtCO2)

Practical usage: VO2 estimated with 125 ml / O2 * BSA

59.3 Thermodilution

Principle: cardiac output = indicator dose * area under the time-concentration curve.

relies on uniform mixing and unidirectional flow. Margin of area ~25% with Fick.

59.4 Can you do this with a central venous catheter?

Yes - with the Fick principle (to the extent that scvO2 approximates svO2… which is somewhat variable and contested - https://link.springer.com/article/10.1186/cc9348). You need the mixing for thermodilution to be effective.

60 DO2

DO2 (Deliver of oxygen) and the DO2:VO2 ratio is particularly useful in differentiating types of shock.

see separate article

61 Pressures

61.1 Central line

You can measure:

  • CVP ( R heart filling pressure )
  • MAP ( pressure generated by the left heart)

With cardiac output*, you can then calculate SVR

61.2 PA Cathether

You can measure:

  • CVP (R heart filling pressure )
  • MPAP ( pressure generated by the right heart )
  • LVEDP (L heart filling pressure )
  • MAP (pressure generated by the left heart)

With cardiac output, you can calculate SVR and PVR

alt

61.3 Comparison

Thus, with a central line, the heart & pulmonary vasculature is treated as a single unit (in a system with the systemic vasculature). With a PA catheter, you can resolve information about each of the

62 Vascular Resistance

Hydraulic version of Ohm’s law

Voltage drop = I R is rearranged to R = V / I

SVR: (MAP-CVP)/CO

PVR: (PA_m - PCWP)/CO

Contemporary review:

  • Part 1: https://pubmed.ncbi.nlm.nih.gov/33564995/
  • Part 2: https://pubmed.ncbi.nlm.nih.gov/33646499/

In sum: times when PA catheter derived indices are particularly helpful:

  • R heart failure or pulmonary hypertension (thus limits traditional metrics of fluid responsiveness and assessment). Think: how do you differentiate R heart failure (low CO and high CVP) caused by elevated LVEDP, increased PA pressure, or decreased RV contractility?
  • times when TTE / Pulse contour analysis can’t be used: AFib, IABP, or VAD

62.1 Source materials