Annals of Biomedical Engineering

, Volume 37, Issue 11, pp 2222–2233 | Cite as

Continuous and Noninvasive Blood Pressure Measurement: A Novel Modeling Methodology of the Relationship Between Blood Pressure and Pulse Wave Velocity

  • Yan Chen
  • Changyun Wen
  • Guocai Tao
  • Min Bi
  • Guoqi Li


In this paper, we aim to establish a new mathematical model that relates pulse wave velocity (PWV) to blood pressure (BP) for continuous and noninvasive BP measurement. For the first time, we derive an ordinary differential equation (ODE) expressing the fundamental relation between BP, elastic modulus G and PWV. The general solution of this ODE is the mathematical BP-PWV model. In our model, the elastic modulus G is included in model parameters, unlike the existing theoretical models. This enables us to express the BP-PWV relationship for subjects of different ages and genders. A family of BP-PWV functions for specific age and gender groups can be obtained using statistical methods based on clinical trial data, which serve as the calibrated benchmark models for continuous and noninvasive BP measurement. To illustrate the modeling methodology, we construct benchmark models for people aged 19 and 60 and apply them to continuous diastolic blood pressure (DBP) measurement without individual calibration. The results of clinical tests meet the test standard in ANSI/AAMI SP10, which attests the feasibility of the modeling methodology.


Blood pressure (BP) Pulse wave velocity (PWV) Modeling methodology Mathematical model Model parameter identification Benchmark model Clinical verification 



This work was supported partly by the Southwest hospital of Chongqing in China. The authors are thankful to the staffs in anesthesiology department for facilitating contacts that made this work possible. Also the authors would like to express their sincere appreciation to the reviewers for their constructive comments and suggestions.


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Copyright information

© Biomedical Engineering Society 2009

Authors and Affiliations

  • Yan Chen
    • 1
  • Changyun Wen
    • 1
  • Guocai Tao
    • 2
  • Min Bi
    • 2
  • Guoqi Li
    • 1
  1. 1.School of Electrical and Electronic EngineeringNanyang Technological UniversitySingaporeSingapore
  2. 2.Anesthesia Department, Southwest HospitalThe 3rd Military Medical UniversityChongqingChina

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