A simple model of the arterial system is formulated and solved. It is a linear model without viscosity, in which the arteries have elastic walls and are exponentially tapered. Blood flows out of the walls continuously. The solution is found analytically and numerically for various sets of parameters and reproduces the main qualitative features of actual blood flow, including the growth and steepening of the pressure pulse, the presence of the dicrotic wave, and the increasing proportionality of the pressure and flow waveforms.
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics