Respiratory Resistance and Airway Obstruction Flashcards
Elastance
Elastance describes the recoil of the lung and chest wall.
Elastance and Compliance
- Elastance = change in pressure /change in volume
- Compliance = change in volume/ changein pressure
compliance = 1/ Elastance
Resistance
Describes the energy lost due to the friction and turbulence (acceleration due to spinning) of gas when there is gas flow
When there is no flow, there is no pressure differenc due to resistance.
Resistance and Ohm’s Law
RESISTANCE (cmH2O / L/sec) = ∆PRESSURE (cmH2O) / FLOW (L/sec)
Pulmonary Resistance has…
…tissue and airway resistance components (90% of RRS)
Chest Wall…
…is a tissue resistance (10% of RRS)
RRS
RRS = RL + RCW
- RRS = Resistance of the respiratory system
- RL = Resistance of the lung (pulmonary resistance)
- RCW = Resistance of the tissues of the chest wall
Pulmonary Resistance
RL = Raw + Rtis
- RL = Resistance of the lung
- Raw = Resistance of the airway (80% of total lung resistance)
- Rtis = Resistance of the tissues of the lung (20% of total lung resistance)
Laminar Flow
Laminar flow occurs in small airways with low gas velocities and is characterized by a streamlined pattern with a parabolic velocity profile.
Ohm’s Law for Laminar Flow
The “Ohm’s law” equation for laminar flow is called Poiseuille’s Law and can be written: FLOW = π ∆P r4 / 8 n l
- π = pi (3.141516)
- ∆P = driving pressure
- r = radius of the tube
- n = viscosity
- l = length of the tube
Turbulent Flow
Turbulent flow occurs in larger, central airways with high gas velocities and at branches in airways. It is characterized by complete disorganization of the streamlines with resultant eddies and swirls.
Turbulence ocurs due to 2 main effects in the airway.
- Every irregulaity in the airway such as branching of one airway into two causes turbulent airflow.
- Velocity plays a large role in determining the occurence and magnitude of turbulent flow.
The two major determinants of gas velocity are […] and […].
The two major determinants of gas velocity are the flow (how much gas is moving per second) and the cross-sectional area of the airway (how narrow an airway does the gas have to squeeze through).
Velocity (cm/sec) = Flow (cm3 /Sec)/Cross-Sectional Area (cm2 )
The narrowest cross-sectional area in the airway occurs in the […]. Since all flow goes through this central airway, this is where the […] velocities are seen.
The narrowest cross-sectional area in the airway occurs in the subglottic space (below the vocal cords). Since all flow goes through this central airway, this is where the highest velocities are seen.
The greatest total cross-sectional area in the airway is found in the […]. Gas velocity is very […] in these airways and actually approaches zero so that diffusion due to Brownian motion is a relevant cause of gas movement.
The greatest total cross-sectional area in the airway is found in the summed areas of the large number of small peripheral airways. Gas velocity is very low in these airways and actually approaches zero so that diffusion due to Brownian motion is a relevant cause of gas movement.
Reynold’s Number
Predicts when turbulent flow will predominate. Flow tends to be laminar up until Re > 2000:
Re = 2 r v d n
- r = tube radius
- v = average velocity of the gas
- d = density of the gas
- n = viscosity of the gas
This equation can be confusing because it appears that a larger radius airway will have a higher Re when one would think it should have lower velocities and thus a lower Re. The equation actually says that for any given velocity of gas, the higher the radius then the higher the Re. Basically, it is easier for the laminar flow to break up into turbulence when the gas flowing in the center of a large airway is far from the friction of the airway wall.
Large central airways with […] gas velocities have […] Re and […] flow predominates.
Large central airways with high gas velocities have high Re and turbulent flow predominates.
Small peripheral airways with […] velocities have […] Re and […] flow predominates
Small peripheral airways with low velocities have low Re and laminar flow predominates
Turbulent Flow and No Ohm’s Law
Under turbulent flow conditions the flow generated is proportional to the square root of the pressure and Ohms law does not describe the pressure/flow relationship:
FLOW ≈ (PRESSURE / CONSTANT)0.5
This is usually written as the pressure generated by turbulent flow:
PRESSURE = K2 (FLOW)2
- K2 = turbulent flow constant.
- The constant, K2, varies directly with gas density. Thus the less dense the gas the less energy is lost in turbulence and the lower the pressure drop. That is why we use helium in patients with high airway resistance due to turbulent flow (croup, tracheal tumor)