There are a variety of arterial Windkessel models used to describe pressure and flow in arteries using 2-4 elements. I am concerned with the formulation of the 4 element model where the parameters are Rc - characteristic resistance, L - Inertance, C - total vascular compliance, and Rp - peripheral resistance. There is some ambiguity in the literature as to whether the Rc and L should be placed in parallel or series.
http://dx.doi.org/10.1007/s11517-008-0359-2 lays out several models but puts Rc & L in parallel.
http://circres.ahajournals.org/content/16/2/121.short lays out the 4 element model with the Rc & L in series.
Physiologically what makes sense?
here is an interesting reference that seems to indicate you would use vessel size to help determine which windkessel model is most appropriate. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.576.7486&rep=rep1&type=pdf
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