Multiscale mathematical modeling vs. the generalized transfer function approach for aortic pressure estimation: a comparison with invasive data

2018 ◽  
Vol 42 (5) ◽  
pp. 690-698 ◽  
Author(s):  
Andrea Guala ◽  
Francesco Tosello ◽  
Dario Leone ◽  
Luca Sabia ◽  
Fabrizio D’Ascenzo ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Transfer Function ◽  
Aortic Pressure ◽  
Function Approach ◽  
Pressure Estimation ◽  
Generalized Transfer Function

Blood Flow Modeling to Improve Cardiovascular Diagnostics: Application of A GTF to Predict Central Aortic Pressure using a 1-D Model

2018 ◽  
Vol 7 (4.26) ◽  
pp. 146
Author(s):  
A. T. Butt ◽  
Y. A. Abakr ◽  
K. B. Mustapha
Keyword(s):  
Transfer Function ◽  
Transfer Functions ◽  
Experimental Studies ◽  
Aortic Pressure ◽  
Iliac Arteries ◽  
Central Aortic Pressure ◽  
Blood Flow Modeling ◽  
Feasible Alternative ◽  
Generalized Transfer Function ◽  
Mean Square Errors

This study aims to demonstrate that a comprehensive one-dimensional model of the arterial network can be used in conjunction with the generalized transfer function (GTF) technique to estimate central aortic pressure using pressure waveforms obtained from peripheral sites. The peripheral and central pressure waveforms for a healthy subject are used to estimate transfer functions, which are then used to reconstruct central aortic pressure waveforms for a second model that simulates arterial stiffening. The similarities between the simulated aortic waveform and the waveforms estimated using the transfer function are and   from the brachial, carotid and iliac arteries, respectively. The root-mean-square errors (RMSE) for the reconstructed waveforms from the brachial, carotid and iliac arteries are and  mmHg, respectively. The results from this study illustrate that the proposed method provides a feasible alternative to higher dimensional models as well as experimental studies and can greatly enhance the accuracy of central aortic pressure estimation.     

Linear Dynamical Systems: An Axiomatic Approach

2002 ◽  
Vol 9 (1) ◽  
pp. 113-136
Author(s):  
V. Lomadze
Keyword(s):  
Dynamical Systems ◽  
Transfer Function ◽  
Axiomatic Approach ◽  
Behavioral Approach ◽  
Function Approach ◽  
Linear Dynamical Systems ◽  
Great Simplicity

Abstract Linear dynamical systems are introduced in a general axiomatic way, and their development is carried out in great simplicity. The approach is closely related both with the classical transfer function approach and with the Willems behavioral approach.

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