Pressure and blood flow waveforms in the human body can be recorded using techniques such as sphygmomanometry and Doppler ultrasound. The presence of abnormal waveforms in arteries may indicate a pathological state. In this paper arterial wave patterns are modelled using a simplified one dimensional model for blood flow. The hyperbolic system of governing equations is discretised using the discontinuous Galerkin method. Results are presented for patterns of blood flow and pressure waves throughout a simplified arterial system consisting of the main 55 arteries. The method is also employed to determine unusual wave patterns in monochorionic twin pregnancies where an anastomosis between the twins is present across the placenta equator.
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Franke et al. (2002) studied this question.
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