Electric Circuit representation of the Human Arteries

This is a Simulink project to provide the values of pressure and flow in the human arteries with electric circuits components.

This is a Simulink project to model the human arteries using electric circuit components. The model uses the reported circuit diagram for the human vessels in [1]. We use the model for the heart following the electric circuit model in [2, Fig. 4.2.1 pag. 79].

The project runs directly from the file "Noordegraaf.slx". The electric parameters for the resistors, inductors, and capacitors are specified in the file init_fcn_noordergraaf.mlx (for the heart and peripheral resistors) and the excel table Parameters.xlsx (for the arteries). Graphs are plotted in the stop_fcn_noordegraaf_rideout.mlx file.

All the electric parameters for the arteries from the original design in [1] are included in the excel document Parameters.xlsx, which follows the International System of Units (SI). The peripheral resistors defined in [1] are included in the init_fcn_noordergraaf_rideout.mlx file. Regarding the heart, all the parameters from [2] are defined in the file init_fcn_noordergraaf_rideout.mlx, which are given in the CGS units.

Files provided here are the following:

• Simulink Project "Noordegraaf_Rideout.slx": Runs the project and self call dependencies as the .mlx files.
• File to initiate all the electric parameters in the project: init_fcn_noordergraaf_rideout.mlx and read the parameters from the table Parameters.xlsx. The frequency heart period can be updated in line 6 in the code.
• File to plot results after running the simulink project: stop_fcn_noordegraaf_rideout.mlx.
• Files with pre-recorded simulation results: "markov_static.mat" and "markov_dyn.mat". These files are used to plot the distribution of nanosensors in "stop_fcn_noordegraaf_rideout.mlx". These files store data for the two regimes when the heart is at 75 beats/min and 170 beats/min. These files can be regenerated commenting the lines 582-583 and uncommenting 575-581. Then the heart frequency must be updated in line 6 in the file init_fcn_noordergraaf_rideout.mlx and run the Simulink project again.

References

[1] Abraham Noordergraaf, Pieter D. Verdouw, and Herman B.K. Boom. 1963. The use of an analog computer in a circulation model. Progress in Cardiovascular Diseases 5, 5 (3 1963), 419–439. https://doi.org/10.1016/s0033-0620(63)80009-2

[2] Vincent C. Rideout. 1991. Mathematical and Computer Modeling of Physiological Systems. Prentice Hall, Upper Saddle River, NJ.