Key result
An analytical approach demonstrated that reflection due to arterial branching can be determined by parameter values at the branching, with two solitons transmitted in each branch artery.
This theoretical model demonstrates that arterial branching causes the transmission of two solitons from one incident soliton with preserved waveform and velocity.
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Theoretical soliton transmission at arterial branches is hypothesis-generating; empirical validation needed before hemodynamic modeling or clinical consideration.
An approach is proposed to understand the effect of arterial branching in large arteries. Reflected and transmitted nonlinear waves at the arterial branching are constructed from incident waves analytically. Fission and reflection of a soliton due to this discontinuity are explicitly shown in the lowest order. The conclusion can be drawn that the reflection due to arterial branching can be determined by the parameter values at the arterial branching, but two solitons will be transmitted in each branch artery from one incident soliton whose wave form and velocity remain approximately unchanged.
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Duan et al. (1997) studied Arterial branching hemodynamics. An analytical approach demonstrated that reflection due to arterial branching can be determined by parameter values at the branching, with two solitons transmitted in each branch artery.
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