Moens–Korteweg equation

In biomechanics, the Moens–Korteweg equation models the relationship between wave speed or pulse wave velocity (PWV) and the incremental elastic modulus of the arterial wall or its distensibility. The equation was derived independently by Adriaan Isebree Moens[1][2] and Diederik Korteweg.[3] It is derived from Newton's second law of motion, using some simplifying assumptions,[4] and reads:

${\displaystyle PWV={\sqrt {\dfrac {E_{\text{inc}}\cdot h}{2r\rho }}}}$

The Moens–Korteweg equation states that PWV is proportional to the square root of the incremental elastic modulus, (Einc), of the vessel wall given constant ratio of wall thickness, h, to vessel radius, r, and blood density, ρ, assuming that the artery wall is isotropic and experiences isovolumetric change with pulse pressure.[5]

References

1. ^ Moens, Adr. Isebree (1877). Over de voortplantingssnelheid van den pols [On the speed of propagation of the pulse] (Ph.D. thesis) (in Dutch). Leiden, The Netherlands: S.C. Van Doesburgh.
2. ^ Moens, A. Isebree (1878). Die Pulskurve [The Pulse Curve] (in German). Leiden, The Netherlands: E.J. Brill. OCLC 14862092.
3. ^ Korteweg, D.J. (1878). "Über die Fortpflanzungsgeschwindigkeit des Schalles in Elastischen Röhren". Annalen der Physik. 241 (12): 525–542. Bibcode:1878AnP...241..525K. doi:10.1002/andp.18782411206.
4. ^ Milnor, William R. (1982). Hemodynamics. Baltimore: Williams & Wilkins. ISBN 0-683-06050-3.
5. ^ Gosling, R.G.; Budge, M.M. (2003). "Terminology for Describing the Elastic Behavior of Arteries". Hypertension. 41 (6): 1180–1182. doi:10.1161/01.HYP.0000072271.36866.2A.