An introduction to modelling arterial pulse waves
Peter Charlton, University of Cambridge, UK
peterhcharlton.github.io
To do: Please go to this website, find this talk under ‘Talks’, and see the accompanying resources.
I find simulated pulse waves useful for:
- Understanding physiological mechanisms
- Designing algorithms
- Investigating algorithm performance
Part 1
An Introduction to Pulse Wave Modelling using a 1D Model
The Model

Simulated Pulse Waves

Possible Limitations
A few thoughts:
- Periodic inflow, as opposed to normal heart rate variability
- Specified arterial properties, which may not be representative of a particular individual
- Not able to model venous flow
- HR: heart rate
- SV: stroke volume
- LVET: left ventricular ejection time
- PFT: time of peak aortic flow
- RFV: reverse flow volume
- Diam: the diameters of the largest arteries
- PWV: pulse wave velocities
- MAP: mean blood pressure
- PVC: peripheral vascular compliance
Which parameters would be most interesting to change, and why?
Which are most relevant to vascular ageing?
Virtual Subjects
We created:
- Baseline virtual subject at each age
- Virtual subjects at each age with varying cardiovascular properties
- A publicly available database of simulated pulse waves for 4,374 virtual subjects
- Increase in amplitude of second systolic peaks with age
- Disappearance of second peak of finger PPG with age
- Nonetheless, some marked differences between in vivo and simulated waveforms.
For further details of the verification see the accompanying article.
Part 2
Case Study: Assessing Arterial Stiffness from the Photoplethysmogram
Digital Wearable Device

The Photoplethysmogram (PPG)

Changes in PPG Pulse Wave Shape

Assessing Arterial Stiffness

Results

Implications
- Age range
- Influence of HR and SV.
Questions
- What would you think of using this technology to assess vascular age?
- How might it compare to other technologies?
- How could one assess the relative performance of such technologies?
Next Steps
Assessing Vascular Age from the Photoplethysmogram: A Systematic Review from VascAgeNet
Part 3
Case Study: Changes in Pulse Pressure Amplification with Age
Pulse Pressure Amplification
Pulse Pressure Amplification=brachial pulse pressureaortic pulse pressure
Questions:
- How does pulse pressure amplification change with age?
- Why?
Methods
Investigated the effects of age on:
- Early systolic amplification (P1)
- Late systolic pressure augmentation (P2)
at the aorta.
Results

Implications
The database can be used to gain insight into the CV determinants of mechanisms of blood flow.
- When might this be helpful?
- How should this approach be used:
- instead of clinical studies
- as well as clinical studies, or
- not at all?
See the following for similar work, investigating the accuracy of methods for assessing pulse wave velocity:
Willemet M et al., A database of virtual healthy subjects to assess the accuracy of foot-to-foot pulse wave velocities for estimation of aortic stiffness, doi: 10.1152/ajpheart.00175.2015
Part 4
Potential studies using blood flow modelling
Exploring potential studies
Think of a study in which pulse wave modelling could be useful.
Consider:
- Research question
- What would need to be simulated?
- Under what conditions?
- In which ways would the model need to be particularly accurate?
Limitations
- Dependent on model accuracy
- Which in turn, is dependent on input parameters
- Often requires specialist knowledge to perform studies
Benefits
- Allows pulse waves to be simulated under different conditions
- Control of physiology
- Free of measurement error
- Potentially cheap, and doesn’t require participant involvement
Opportunities
- Preliminary pilot work in technology development
- Inform the design of in vivo studies
- Understand the potential shortcomings of existing technologies
- Understand the mechanisms underlying haemodynamic observations
Further Resources
See the following:
Acknowledgment
None of this would have been possible without:
- Dr Jordi Alastruey-Arimon, who provided the model and supervision
- The British Heart Foundation, who funded the work
- COST Action CA18216 “Network for Research in Vascular Ageing” supported by COST (European Cooperation in Science and Technology)
An introduction to modelling arterial pulse waves Peter Charlton, University of Cambridge, UK peterhcharlton.github.io To do: Please go to this website, find this talk under ‘Talks’, and see the accompanying resources.