À propos de mathématiques
Soliton-windkessel arterial model
Crépeau, Emmanuelle1
1 UVSQ Avenue des Etats-Unis 78035 Versailles
Femmes & math, Forum 8 des Jeunes Mathématiciennes, Tome 8 (2006), pp. 67-70.

In this work, we propose a new model of arterial blood pressure, combining differential equations (windkessel terms) and partial differential equations (Korteweg-de Vries terms). The objective of this study is to define some characteristics of the vessels obtained from non-invasive measurements.

This is a jointed work with Michel Sorine and Taous Meriem Laleg (Inria Rocquencourt).

Publié le :
Crépeau, Emmanuelle 1

1 UVSQ Avenue des Etats-Unis 78035 Versailles 
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     title = {Soliton-windkessel arterial model},
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Crépeau, Emmanuelle. Soliton-windkessel arterial model. Femmes & math, Forum 8 des Jeunes Mathématiciennes, Tome 8 (2006), pp. 67-70. http://archive.numdam.org/item/RFM_2006__8__67_0/

[1] E. Crépeau and M. Sorine, A reduced model of pulsatile flow in an arterial compartment, To appear in Chaos, Solitons and Fractals, accepted in March 2006. | Zbl

[2] A.  Monti and C.  Médigue and M.  Sorine, Short-term modelling of the controlled cardiovascular system, ESAIM: Proceedings, 12, pp115-128, 2002. | Zbl

[3] J.T.  Ottesen, General Compartmental Models of the Cardiovascular System. In Mathematical models in medicine Ottesen, J.T. and Danielsen, M. IOS press, pp121-138, 2000.

[4] C.S.  Peskin, Lectures on Mathematical Aspects of Physiology, F.C. Hoppensteadt, AMS, 19, 1981. | Zbl

[5] G.B. Whitham, Linear and nonlinear waves, J. Wiley and Sons, 1999. | Zbl

[6] S.  Yomosa, Solitary waves in large blood vessels, J. of the Physical Society of Japan, 56, pp506-520, 1987.