Title
Sensitivity Analysis of Biomedical Models Using Green's Function.
Abstract
One of the important steps of analysis of any mathematical model is the sensitivity analysis. The most frequently used type of sensitivity analysis is the local parametric sensitivity analysis that answers the question how changes of model's parameters influence the solution of the model. It is routinely used but it can be applied only for constant parameters. It cannot be applied for non-stationary parameters nor for varying in time external input signals. The full information about the sensitivity in such a case can be given by the sensitivity analysis using Green's function. This work describes a toolbox written in MATLAB environment, which can be useful in sensitivity analysis of biomedical models described by system of ordinary differential equations. To illustrate this type of sensitivity analysis, we use the created tool to analyze a model of cell signaling pathway of p53 protein, which plays crucial role in the response of tumor and healthy cells to radiotherapy.
Year
DOI
Venue
2018
10.1007/978-3-319-91211-0_42
INFORMATION TECHNOLOGY IN BIOMEDICINE (ITIB 2018)
Keywords
DocType
Volume
Sensitivity analysis,Ordinary differential equations,Green's function
Conference
762
ISSN
Citations 
PageRank 
2194-5357
0
0.34
References 
Authors
3
3
Name
Order
Citations
PageRank
Krzysztof Lakomiec100.34
Karolina Kurasz200.34
Krzysztof Fujarewicz3235.99