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).
@article{RFM_2006__8__67_0, author = {Cr\'epeau, Emmanuelle}, title = {Soliton-windkessel arterial model}, journal = {Femmes & math}, pages = {67--70}, publisher = {Association femmes et math\'ematiques}, volume = {8}, year = {2006}, language = {en}, url = {http://www.numdam.org/item/RFM_2006__8__67_0/} }
Crépeau, Emmanuelle. Soliton-windkessel arterial model. Femmes & math, Forum 8 des Jeunes Mathématiciennes, Tome 8 (2006), pp. 67-70. http://www.numdam.org/item/RFM_2006__8__67_0/
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