Analysis of Single-Cell Data: ODE Constrained Mixture Modeling and Approximate Bayesian Computation

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Springer, Mar 17, 2016 - Mathematics - 92 pages

Carolin Loos introduces two novel approaches for the analysis of single-cell data. Both approaches can be used to study cellular heterogeneity and therefore advance a holistic understanding of biological processes. The first method, ODE constrained mixture modeling, enables the identification of subpopulation structures and sources of variability in single-cell snapshot data. The second method estimates parameters of single-cell time-lapse data using approximate Bayesian computation and is able to exploit the temporal cross-correlation of the data as well as lineage information.

 

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Contents

1 Introduction
2
2 Background
5
3 ODE Constrained Mixture Modeling for Multivariate Data Using Moment Equations
15
4 Approximate Bayesian Computation for SingleCell TimeLapse Data Using Multivariate Statistics
57
5 Summary and Discussion
85
Bibliography
87
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About the author (2016)

Carolin Loos is currently doing her PhD at the Institute of Computational Biology at the Helmholtz Zentrum München. She is member of the junior research group „Data-driven Computational Modeling“.

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