Model-based inference from microvascular measurements: Combining experimental measurements and model predictions using a Bayesian probabilistic approach

Peter M. Rasmussen, Amy F. Smith, Sava Sakadžić, David A. Boas, Axel R. Pries, Timothy W Secomb, Leif Østergaard

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Objective: In vivo imaging of the microcirculation and network-oriented modeling have emerged as powerful means of studying microvascular function and understanding its physiological significance. Network-oriented modeling may provide the means of summarizing vast amounts of data produced by high-throughput imaging techniques in terms of key, physiological indices. To estimate such indices with sufficient certainty, however, network-oriented analysis must be robust to the inevitable presence of uncertainty due to measurement errors as well as model errors. Methods: We propose the Bayesian probabilistic data analysis framework as a means of integrating experimental measurements and network model simulations into a combined and statistically coherent analysis. The framework naturally handles noisy measurements and provides posterior distributions of model parameters as well as physiological indices associated with uncertainty. Results: We applied the analysis framework to experimental data from three rat mesentery networks and one mouse brain cortex network. We inferred distributions for more than 500 unknown pressure and hematocrit boundary conditions. Model predictions were consistent with previous analyses, and remained robust when measurements were omitted from model calibration. Conclusion: Our Bayesian probabilistic approach may be suitable for optimizing data acquisition and for analyzing and reporting large data sets acquired as part of microvascular imaging studies.

Original languageEnglish (US)
Article numbere12343
JournalMicrocirculation
Volume24
Issue number4
DOIs
StatePublished - May 1 2017

Fingerprint

Bayes Theorem
Theoretical Models
Uncertainty
Mesentery
Microcirculation
Hematocrit
Calibration
Pressure
Brain

Keywords

  • Bayesian analysis
  • flow simulation
  • microcirculatory measurements
  • network-oriented analysis

ASJC Scopus subject areas

  • Physiology
  • Molecular Biology
  • Cardiology and Cardiovascular Medicine
  • Physiology (medical)

Cite this

Model-based inference from microvascular measurements : Combining experimental measurements and model predictions using a Bayesian probabilistic approach. / Rasmussen, Peter M.; Smith, Amy F.; Sakadžić, Sava; Boas, David A.; Pries, Axel R.; Secomb, Timothy W; Østergaard, Leif.

In: Microcirculation, Vol. 24, No. 4, e12343, 01.05.2017.

Research output: Contribution to journalArticle

Rasmussen, Peter M. ; Smith, Amy F. ; Sakadžić, Sava ; Boas, David A. ; Pries, Axel R. ; Secomb, Timothy W ; Østergaard, Leif. / Model-based inference from microvascular measurements : Combining experimental measurements and model predictions using a Bayesian probabilistic approach. In: Microcirculation. 2017 ; Vol. 24, No. 4.
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