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Maximum Likelihood Estimation for a Gene Regulatory Network Defined by Differential Equations
Published on Apr 04, 20078348 Views
Gene regulation may be described by a set of deterministic differential equations describing the time rate evolution of the gene product concentrations, and containing parameters accounting for the re
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Chapter list
Parameter estimation for gene regulatory networks defined by differential equations00:01
Outline00:12
Gene Regulatory Network00:44
Mathematical formalisms01:00
Mathematical formalisms01:15
Mathematical formalisms02:28
Mathematical formalisms03:04
ODE’s formalism04:25
Example: Reaction-diffusion model05:08
ODE’s formalism06:34
Proteomic data06:52
Proteomic data07:43
Statistical model08:11
Statistical model09:23
Maximum Likelihood Estimation10:24
Maximum Likelihood Estimation11:50
Maximum Likelihood Estimation12:05
Maximum Likelihood Estimation12:21
Asymptotic properties13:37
Asymptotic properties14:09
Drosophila case14:48
Drosophila case15:18
Drosophila case16:53
Summary and Perspectives17:02
Bibliography18:10
Acknowledgements18:17