PULMONARY ARTERY CATHETER-DERIVED HEMODYNAMIC VARIABLES
The cardiovascular system is often modeled as an electrical circuit,
with the relationship between cardiac output, blood pressure, and resistance to flow
related in a manner similar to Ohm's law. The electrical version of this relationship
is familiar as Equation 7.
V = I · R (7)
where V = voltage
I = current
R = resistance
The analogous formulas for determining SVR and PVR rearrange Ohm's
law and replace voltage with blood pressure and current with blood flow.


where SVR = systemic vascular resistance
PVR = pulmonary vascular resistance
MAP = mean arterial pressure (mm Hg)
CVP = mean central venous pressure (mm Hg)
MPAP = mean pulmonary artery pressure (mm Hg)
PAWP = mean pulmonary artery wedge pressure (mm Hg)
CO = cardiac output (L/min)
Multiplying by 80 corrects SVR and PVR values from Wood units
(mm Hg/L/min) to standard metric units (dynes · sec · cm-5
).
Normal values for SVR and PVR are given in Table
32-14
. Note that these calculations of SVR and PVR are based on a hydraulic
fluid model that assumes continuous, laminar flow through a series of rigid pipes.
[709]
[710]
These
calculations also use atrial pressure as the downstream pressure for systemic or
pulmonary flow, with CVP used for right atrial pressure in the SVR calculation and
PAWP used for left atrial pressure in the PVR calculation. Alternative methods to
calculate resistance ignore the effect of these downstream pressures. For the systemic
circulation, total resistance may be calculated from mean arterial pressure and cardiac
output alone, and for the pulmonary circulation,
total pulmonary resistance describes the ratio of mean pulmonary artery pressure
and cardiac output.
All these resistance formulas oversimplify the behavior of the
cardiovascular system. A more physiologic model of the systemic circulation considers
the vasculature to be a series of collapsible vessels with intrinsic tone. This
model, also called the vascular waterfall, describes a critical closing pressure
in the downstream end of the circuit that exceeds right atrial pressure and serves
to limit flow—an effective downstream pressure that is higher than the right
atrial pressure used in the SVR formula. Detailed consideration of these issues
is beyond the scope of this discussion and is available in other sources.[711]
[712]
The important issue for clinicians is that
therapy focused on the fine adjustment of SVR may be very misleading and should be
avoided.
Additional problems arise when considering the pulmonary vasculature
and using the formulas just presented as a measure of resistance to flow through
the lung. The pulmonary vasculature is more compliant than the systemic vasculature,
and marked increases in pulmonary blood flow may not produce any significant increase
in PAP. In addition, flow usually ceases at end-diastole in the low-resistance pulmonary
circuit.[443]
[713]
Thus, changes in PVR may result from intrinsic alterations in pulmonary vascular
tone (constriction or dilation), vascular recruitment, or rheologic dynamics.[710]
[713]
[714]
For
the pulmonary circuit, a better approach to evaluating changes in PVR may be to examine
the end-diastolic gradient between pulmonary artery diastolic and wedge pressure
(see Fig. 32-51
).[714]
Alternatively, more complex calculations of impedance rather than resistance will
better describe these vascular properties of the pulmonary circuit.[715]
Another set of common calculations derived from standard hemodynamic
variables adjusts these measurements for the patient's body surface area (BSA) in
an attempt to normalize these measurements for patients of different size. BSA is
generally determined from standard nomograms based on height and weight. The most
commonly indexed variables are the cardiac index (cardiac index =
cardiac output/BSA) and stroke volume index (stroke volume index
= stroke volume/BSA). On occasion, SVR and PVR are indexed as
well. Note, however, that indexed resistances are higher than nonindexed values
because the cardiac index term is in the denominator of these equations. The appropriate
formulas are SVR index = SVR × BSA and PVR
index = PVR × BSA.
In theory, normalizing hemodynamic values through "indexing" should
help clinicians determine appropriate normal physiologic ranges to assist in guiding
therapy. Unfortunately, there is little evidence that these additional calculations
provide valid normalizing adjustments. BSA is a biometric measurement with an obscure
relationship to blood flow, and it does not adjust for variations between individuals
based on age, sex, body habitus, or metabolic rate.[716]
Although it is important to be aware of a patient's size and medical history when
interpreting and treating changes in any of the measured or calculated hemodynamic
variables, it is not appropriate to target therapy solely at achieving normal indexed
values.