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A note on the solution of the one-dimensional unsteady equations of arterial blood flow by the method of characteristics

Published online by Cambridge University Press:  17 February 2009

L. K. Forbes
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia 5000
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Abstract

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The “Hartree hybrid method” has recently been employed in one-dimensional non-linear aortic blood-flow models, and the results obtained appear to indicate that shock-waves could only form in distances which exceed physiologically meaningful values. However, when the same method is applied with greater numerical accuracy to these models, the existence of a shock-wave in the vicinity of the heart is predicted. This appears to be contrary to present belief.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979

References

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