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Parameter Estimation of ODE's with Regression Splines: Application to Biological Networks
Published on 2007-04-048657 Views
The construction and the estimation of quantitative models of gene regulatory networks and metabolic networks is one of the task of Systems Biology. Such models are useful because they provide tools f
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Presentation
Parameter estimation of ODE’s with regression splines: applications to biological networks00:03
Biological networks and dynamical processes00:48
Assumptions on biochemical kinetics01:36
Outline02:22
Plan02:48
Statistical setting02:50
Direct estimation04:07
New characterization of the solution05:00
General Principle of two-step estimator06:35
Comments08:20
Computational Advantages09:46
Splines11:08
Nonparametric regression12:05
Asymptotics12:24
Properties14:15
Repressilator14:53
Evolution of protein concentrations15:37
Nonparametric estimation of the solution by splines15:45
Estimates of the derivative of φn16:14
Estimated parameters16:40
The reconstructed curves17:05
Conclusion17:32