Assessment and Characterization of Time-related Differences in Plaque Composition by Intravascular Ultrasound–derived Radiofrequency Analysis in Heart Transplant Recipients
- 作者：Andreas Kö ; nig ; Eckehard Kilian ; Hae-Young Sohn ; Johannes Rieber ; Thomas Michael Schiele ; Uwe Siebert ; Raffaella M. Gothe ; Bruno Reichart ; Volker Klauss
- 关键词：Finite memory effect ; A new model ; Cattaneo’ ; s model ; Numerical computations ; Exact solutions
- 刊名：The Journal of Heart and Lung Transplantation
- 出版年：2008
- 期刊代码：161_10532498
- 类别：med
- 出版时间：March 2008
- 卷：27
- 期：3
- 页码：302-309
- 文件大小：518 K
摘要
A model for a finite memory effect in the Fisher equation had been presented by Cattaneo [Acad. Sci. 247 (1958) 431]. By this model the type of the governing equation is transformed from a parabolic type to a hyperbolic one. But the Cattaneo’s equation does not reduce to the logistic equation in the homogeneous regime. A new model is presented which conserves the parabolic generic equation as well as the reduction property. Memory effects are visualized in the two models through numerical computations of solutions.