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1
Advanced Concepts in
Pressure-Volume Analysis
Daniel Burkhoff MD PhD
Adjunct Associate Professor
Columbia University
3
If your research involves studying the effects of altered
genes, cells, extracellular matrix, drugs, etc, on
cardiovascular properties, there are several key
concepts, indexes and measurement techniques you
should be aware of:
PRELOAD
AFTERLOAD
CONTRACTILITY
LUSITROPY
4
Resources
Harvi
Interactive, simulation-based textbook for
the iPad
iPad 2, 3 and mini (iOS 6)
0 25 50 75 100 125 150
0
25
50
75
100
125
150
LV Volume (ml)
LVPressure(mmHg)
MV Closes
AoV Opens
AoV
Closes
MV
Opens
Isovolumic
Contraction
Isovolumic
Relaxation
Filling
Ejection
The Cardiac Cycle
Pressures-Volumes Loop
5
0 25 50 75 100 125 150
0
25
50
75
100
125
150
LV Volume (ml)
LVPressure(mmHg)
6
Pressure-Volume Loops and Relationships
7
EDPVR and ESPVR define the boundaries within
which the PV Loop sits, independent
of “preload” and “afterload”
0 25 50 75 100 125 150
0
25
50
75
100
125
150
LV Volume (ml)
LVPressure(mmHg)
Vo
Ees
End-Systolic Pressure-Volume
Relationship
(ESPVR)
Pes = Ees(Ves-Vo)
8
End-Systolic Pressure-Volume Relationship
9
Contractility:
The concept applied to the Left Ventricle
0 50 100 150
0
25
50
75
100
125
150
LV Volume (ml)
LVPressure(mmHg)
Ees
Ees
10
Contractility
0 75 150
0
LV Volume (ml)
LVPressure
(mmHg)
10
20
30
End-Diastolic Pressure-Volume Relationship
11
Vo
P = β(eα(V-Vo)-1)
12
Lusitropy:
Passive Diastolic Properties
0 125 250
0
LV Volume (ml)
LVPressure
(mmHg)
10
20
30
Diastolic Capacitance
= volume at a given pressure
13
Lusitropy:
Passive Diastolic Properties
14
ESPVR:
Advanced Concepts
15
ESPVR:
Advanced Concepts
16
ESPVR:
Advanced Concepts
17
Possible ESPVR Changes in Response to Intervention
18
ESPVR:
Practical Recommendations
• Linear regression over the range of available data
• Report both Ees and Vo
• Use Analysis of Covariance (or multiple linear
regression analysis with dummy variables) to
compare ESPVRs measured under different
conditions
• Do not use t-tests compare slopes or Vo values
• An alternative is to use volume and a specified
pressure (e.g., V120)
19
EDPVR:
Advanced Concepts
20
EDPVR:
Advanced Concepts
P=βVα
P= β(eα(V-Vo)-1)
21
EDPVR:
Advanced Concepts
EDPVR can be linearized by
logarithmic transformation:
P=βVα
Ln(P) = Ln(β) + αLn(V)
As for ESPVR:
• Report both values of α and β
• Use analysis of covariance to
assess for shifts of EDPVR
0
10
20
30
40
50
0 50 100 150 200
y = 4x - 7
-5
-4
-3
-2
-1
0
1
2
0.5 1 1.5 2 2.5
Pressure-Volume
Ln(P) – Ln(V)
22
EDPVR: Alternative Analsyis
V30
Questions
Physiology & Hemodynamic Concepts
• What is the importance of Tau?
• What conformational changes occur in a PV loop plot,
other than a rightward shift of the PV-loops, that
confirm the subject has heart failure?
• What is Arterio-Ventricular Coupling?
24
0 50 100 150
0
25
50
75
100
125
150
LV Volume (ml)
LVPressure(mmHg)
EDV
SV
Pes  MAP
25
Ventricular-Vascular Coupling on the PV Diagram
Physiology & Hemodynamic Concepts
• In HF do PV loops maintain their classical shape? In this
case, are there changes to the way hemodynamics are
calculated (ie. SV, SW, CO)?
• What is the effect of heart valve disorders on PV Loops
(aortic stenosis and mitral valve incompetence)?
• Besides differences in pressure, how would RV PV
loops differ from LV PV loops?
26
27
ESPVR in CHF
28
PV Loops in Valve Lesions
Normal AS MR
29
RV vs LV PV Loops
Methodology & Best-Practices
• How can PV loops be used to assess the cardiac safety
of new drugs? Do you see this as a requirement?
• How many PV loops should be included for occlusion
data measurements?
• Are there special considerations for PV loop
measurements in isolated working heart models?
30
Load-Independent Measurements
• Strain rates and related analyses have been suggested
as a load-independent means of measuring myocardial
function and can be looked at globally to assess
ventricular function in-vivo with techniques like
speckle tracking. Can you comment on this and your
opinion regarding myocardial strain analysis as a
practical, load-independent measure of cardiac
function?
31
Load-Independent Measurements
• Work by Glower et al indicated the end-systolic
pressure volume relationship was relatively load and
heart rate independent within a defined physiologic
range. What afterload and heart rate ranges do you
feel pressure-volume loop relationships are most
appropriately utilized?
32
33
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Hemodynamic Assessment Series – Part 1: PV Loop Case Study
by Transonic
Understanding the Translational Value of PV Loops from Mouse to Man
by Millar
Improve PV Loop Results by Heating & Monitoring During Surgery
by Indus Instruments
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Basic hemodynamic principles viewed through pressure volume relations - part 2

  • 1. 1
  • 2. Advanced Concepts in Pressure-Volume Analysis Daniel Burkhoff MD PhD Adjunct Associate Professor Columbia University
  • 3. 3 If your research involves studying the effects of altered genes, cells, extracellular matrix, drugs, etc, on cardiovascular properties, there are several key concepts, indexes and measurement techniques you should be aware of: PRELOAD AFTERLOAD CONTRACTILITY LUSITROPY
  • 4. 4 Resources Harvi Interactive, simulation-based textbook for the iPad iPad 2, 3 and mini (iOS 6)
  • 5. 0 25 50 75 100 125 150 0 25 50 75 100 125 150 LV Volume (ml) LVPressure(mmHg) MV Closes AoV Opens AoV Closes MV Opens Isovolumic Contraction Isovolumic Relaxation Filling Ejection The Cardiac Cycle Pressures-Volumes Loop 5
  • 6. 0 25 50 75 100 125 150 0 25 50 75 100 125 150 LV Volume (ml) LVPressure(mmHg) 6 Pressure-Volume Loops and Relationships
  • 7. 7 EDPVR and ESPVR define the boundaries within which the PV Loop sits, independent of “preload” and “afterload”
  • 8. 0 25 50 75 100 125 150 0 25 50 75 100 125 150 LV Volume (ml) LVPressure(mmHg) Vo Ees End-Systolic Pressure-Volume Relationship (ESPVR) Pes = Ees(Ves-Vo) 8 End-Systolic Pressure-Volume Relationship
  • 9. 9 Contractility: The concept applied to the Left Ventricle
  • 10. 0 50 100 150 0 25 50 75 100 125 150 LV Volume (ml) LVPressure(mmHg) Ees Ees 10 Contractility
  • 11. 0 75 150 0 LV Volume (ml) LVPressure (mmHg) 10 20 30 End-Diastolic Pressure-Volume Relationship 11 Vo P = β(eα(V-Vo)-1)
  • 13. 0 125 250 0 LV Volume (ml) LVPressure (mmHg) 10 20 30 Diastolic Capacitance = volume at a given pressure 13 Lusitropy: Passive Diastolic Properties
  • 17. 17 Possible ESPVR Changes in Response to Intervention
  • 18. 18 ESPVR: Practical Recommendations • Linear regression over the range of available data • Report both Ees and Vo • Use Analysis of Covariance (or multiple linear regression analysis with dummy variables) to compare ESPVRs measured under different conditions • Do not use t-tests compare slopes or Vo values • An alternative is to use volume and a specified pressure (e.g., V120)
  • 21. 21 EDPVR: Advanced Concepts EDPVR can be linearized by logarithmic transformation: P=βVα Ln(P) = Ln(β) + αLn(V) As for ESPVR: • Report both values of α and β • Use analysis of covariance to assess for shifts of EDPVR 0 10 20 30 40 50 0 50 100 150 200 y = 4x - 7 -5 -4 -3 -2 -1 0 1 2 0.5 1 1.5 2 2.5 Pressure-Volume Ln(P) – Ln(V)
  • 24. Physiology & Hemodynamic Concepts • What is the importance of Tau? • What conformational changes occur in a PV loop plot, other than a rightward shift of the PV-loops, that confirm the subject has heart failure? • What is Arterio-Ventricular Coupling? 24
  • 25. 0 50 100 150 0 25 50 75 100 125 150 LV Volume (ml) LVPressure(mmHg) EDV SV Pes  MAP 25 Ventricular-Vascular Coupling on the PV Diagram
  • 26. Physiology & Hemodynamic Concepts • In HF do PV loops maintain their classical shape? In this case, are there changes to the way hemodynamics are calculated (ie. SV, SW, CO)? • What is the effect of heart valve disorders on PV Loops (aortic stenosis and mitral valve incompetence)? • Besides differences in pressure, how would RV PV loops differ from LV PV loops? 26
  • 28. 28 PV Loops in Valve Lesions Normal AS MR
  • 29. 29 RV vs LV PV Loops
  • 30. Methodology & Best-Practices • How can PV loops be used to assess the cardiac safety of new drugs? Do you see this as a requirement? • How many PV loops should be included for occlusion data measurements? • Are there special considerations for PV loop measurements in isolated working heart models? 30
  • 31. Load-Independent Measurements • Strain rates and related analyses have been suggested as a load-independent means of measuring myocardial function and can be looked at globally to assess ventricular function in-vivo with techniques like speckle tracking. Can you comment on this and your opinion regarding myocardial strain analysis as a practical, load-independent measure of cardiac function? 31
  • 32. Load-Independent Measurements • Work by Glower et al indicated the end-systolic pressure volume relationship was relatively load and heart rate independent within a defined physiologic range. What afterload and heart rate ranges do you feel pressure-volume loop relationships are most appropriately utilized? 32
  • 33. 33
  • 34. InsideScientific is an online educational environment designed for life science researchers. Our goal is to aid in the sharing and distribution of scientific information regarding innovative technologies, protocols, research tools and laboratory services.
  • 35. Thank you for taking part in this event.We encourage all attendees to register at www.insidescientific.com for notifications about future webinars. Hemodynamic Assessment Series – Part 1: PV Loop Case Study by Transonic Understanding the Translational Value of PV Loops from Mouse to Man by Millar Improve PV Loop Results by Heating & Monitoring During Surgery by Indus Instruments Wednesday, April 9th @ 11AM EST Additional Sessions Coming Soon: