Simulations of arterial pressure pulses using a transmission line model

LaCourse, J.R.; Mohanakrishnan, G.; Sivaprasad, K.

doi:10.1016/0021-9290(86)90200-9

Cited by 17 publications

(8 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The fluid dynamics of circulating blood can be represented by the three-dimensional NavierStokes equations. Because of the similarity between the linearised one-dimensional form of the Navier-Stokes equations ((1) and (2)) and the propagating electromagnetic wave equations in an electrical transmission line ((3) and (4)), a compliant tube can be mathematically modelled by a segment of electrical transmission line (LACoURSE et al, 1986;MILNOR, 1989).…”

Section: Fluid Dynamics and Electrical Transmission Line Equationsmentioning

confidence: 99%

“…ELECTRICAL TRANSMISSION line models of the human arterial system have been the subject of extensive research over the past few decades (JAGER et al, 1965;TAYLOR, 1966;WESTERHOF et al, 1969;SNYDER et al, 1968;RAINES et al, 1974;AVOLIO, 1980;O'RoURKE and AVOLIO, 1980;LACOURSE et al, 1986;MCILROY et al, 1986;MCILROY and TARGETT, 1988;EINAV et al, 1988EINAV et al, , 1992ROLLER and CLARKE, 1969;HELAL et al, 1990;HELAL, 1994;KARAMANOGLU et al, 1994;KARAMANOGLU, 1997;CAVALCANTI et al, 1995;URSINO, 1995). Such models are based on the electromechanical analogy between a hydraulic transmission system of compliant tubes and an electrical transmission line, and they are able to predict blood flow and pressure waveforms, given the mechanical properties and dimensions of an arterial system.…”

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

Forward electrical transmission line model of the human arterial system

John

2004

Med. Biol. Eng. Comput.

View full text Add to dashboard Cite

A forward mathematical model of the human arterial system, based on an electrical transmission line analogy, has been developed, using a new method for the calculation of peripheral impedance. Simulations of the human arterial system under normal and stenotic arterial conditions were compared with other published simulations, as well as measured clinical data and known clinical quantitative and qualitative characteristics: the harmonic arterial input impedance spectrum demonstrated a mean error of 0.07-0.1 mmHg.s.cm(-1), compared with equivalent simulation and physiological data, respectively; qualitative and quantitative variation of blood pressure and flow waveforms along the arterial tree followed clinical trends; arterial pulse wave velocities compared favourably with physiological data close to the aortic root (-50-20 cm s(-1) difference), but there were larger differences in the periphery (149-1192 cm s(-1) difference); qualitative as well as quantitative variation of blood flow waveforms with progressive stenotic arterial disease, as measured by the pulsatility index, demonstrated an error between 2 and 16% in comparison with mean clinical data for critical stenosis. Under the given test conditions, the forward model was found closely to represent clinically observed haemodynamic characteristics of the human arterial system.

show abstract

Section: Fluid Dynamics and Electrical Transmission Line Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Forward electrical transmission line model of the human arterial system

John

2004

Med. Biol. Eng. Comput.

View full text Add to dashboard Cite

show abstract

“…This paper develops a mathematical model capable of representing pressure propagation in human arteries and uses this model to investigate the significance of different physical terms within this model on pressure propagation in the aorta. Although the development of 1-D mathematical models for studying pressure propagation in arteries and the effect of some phenomena have been previously discussed in the literature [11][12][13][14][15][16][17][18][19], to the best of our knowledge the application of a structured sensitivity analysis is presented for the first time in this work. Further, previous publications assume the aorta to be straight and either linearly or exponentially tapered which is not anatomically representative.…”

Section: Introductionmentioning

confidence: 99%

Accuracy of the wave equation in predicting arterial pulse propagation

Al‐Jumaily

Lowe

2013

Mathematical and Computer Modelling

View full text Add to dashboard Cite

a b s t r a c tThis paper investigates the effect of the various terms in the one-dimensional acoustic wave equation on the pulse characteristics within the aorta. To mimic the physiological nature of the systemic arteries, the aorta is modelled as an elastic conical tube. The frequency spectrum is used to study the effect of different terms in this equation on the pressure ratio between the aortic root at the heart exit and the iliac bifurcation. For validation, the effective reflection distance calculated using this model is within 7% error of clinical observations, suggesting that the model is able to mimic physiological pressure propagation with a high degree of accuracy and can therefore be used to generate and test hypotheses. This work demonstrates that: (i) tapering in the aorta lumen radius causes supplementary amplification of the pressure pulses in the system and increases the propagation velocity; however, tapering in the aorta wall thickness generates opposite effects, (ii) increasing the wall stiffness causes a change in the natural frequency of the system and increases the propagation velocity, and (iii) inclusion of either the advective momentum correction term or the viscosity term insignificantly affects the pressure ratio. The last observation suggests that the flow pattern does not influence the pressure propagation characteristics.

show abstract

“…There is a wide variety of such models, which depends on their purpose and the methodology used [2][3][4][5][6][7][8][9][10]. Researchers have approached the modeling problem from several different perspectives.…”

Section: Introductionmentioning

confidence: 99%

“…Researchers have approached the modeling problem from several different perspectives. Some subjects that have been extensively studied include hemodynamic models of specific vascular beds, such as the coronary or cerebral circulation [11][12][13][14][15]; the distributed impedance of arterial and pulmonary stress [6,7,16,17]; lumped models of the integrated cardiovascular system [5,9,18,19]; and hemodynamic control system [8,20]. This paper reviews the fundamental issues in the development of lumped models of the integrated circulatory system combined with short-term nerve control.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Cardiovascular System Dynamics Using a Lumped Parameter Method

Shim

Sah

Youn³

2004

Jpn.J.Physiol

View full text Add to dashboard Cite

parameter models. We also discuss the nonlinear characteristics of the pressure-volume relationship in veins. Then the control pathways that participate in feedback mechanisms (baroreceptors and cardiopulmonary receptors) are described to explain the interaction between hemodynamics and autonomic nerve control in the circulation. Based on a set-point model, the computational aspects of reflex control are explained. Japanese Journal of Physiology Vol. 54, [545][546][547][548][549][550][551][552][553] 2004 REVIEW Abstract: This work reviews the main aspects of cardiovascular system dynamics with an emphasis on modeling hemodynamic characteristics by the use of a lumped parameter approach. The methodological and physiological aspects of the circulation dynamics are summarized with the help of existing mathematical models. The main characteristics of the hemodynamic elements, such as the heart and arterial and venous systems, are first described. Distributed models of an arterial network are introduced, and their characteristics are compared with those of lumped Key words: lumped parameter model, dynamics of the cardiovascular system, autonomic nerve control.

show abstract

Simulations of arterial pressure pulses using a transmission line model

Cited by 17 publications

References 9 publications

Forward electrical transmission line model of the human arterial system

Forward electrical transmission line model of the human arterial system

Accuracy of the wave equation in predicting arterial pulse propagation

Mathematical Modeling of Cardiovascular System Dynamics Using a Lumped Parameter Method

Contact Info

Product

Resources

About