DocumentCode
115005
Title
Stability analysis of PDEs modelling cell dynamics in Acute Myeloid Leukemia
Author
Avila, J.L. ; Bonnet, C. ; Fridman, E. ; Mazenc, F. ; Clairambault, J.
Author_Institution
Equipe DISCO, Inria, Gif-sur-Yvette, France
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
3059
Lastpage
3064
Abstract
In this paper we perform a stability analysis of two systems of partial differential equations (PDEs) modelling cell dynamics in Acute Myeloid Leukemia. By using a Lyapunov approach, for an equilibrium point of interest, we obtain stability bounds depending on the parameters of the systems. First, we derive sufficient conditions for boundedness of solutions. Then, asymptotic stability conditions are obtained. The results are illustrated with numerical examples and simulations.
Keywords
Lyapunov methods; asymptotic stability; blood; cancer; cellular biophysics; partial differential equations; Lyapunov approach; PDE; acute myeloid leukemia; asymptotic stability conditions; cell dynamics modelling; partial differential equations; solution boundedness; stability analysis; stability bounds; sufficient conditions; Analytical models; Cancer; Mathematical model; Sociology; Stability analysis; Statistics; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7039860
Filename
7039860
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