Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:A2L-D
Session:
Number:A2L-D1
Image-based Parameter Inference for Spatio-temporal models of Organogenesis
Britta Velten, Erkan Uenal, Dagmar Iber,
pp.164-167
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
Advances in imaging technology now provide us with detailed 3D data on gene expression patterns in developing embryos. This information can be used to build predictive mathematical models of embryogenesis. Current modelling approaches are, however, limited by lack of methods to automatically infer the regulatory networks and the parameter values from the image-based information. Here we make a first step to the development of such methods. We use limb bud development as a model system. For a given regulatory network we developed a decision tree based algorithm to automatically determine parameter values for which the model reproduces the expression patterns. Starting from this parameter set, local optimization was performed to further reduce the chosen goodness-of-fit measure. This approach allowed us to recover the target expression patterns, as judged by eye, and thus provides a first step towards the automated inference of parameter values for a given regulatory network.