How gap genes make their domains: An analytical study based on data driven approximations.

We consider a mathematical formulation of the problem of protein production during segment determination in the Drosophila blastoderm, together with some preliminary results of its analytical study. We reformulate the spatial difference equations as a set of nonlinear partial differential equations and obtain their dimensionless form in the continuum limit. Using previous results obtained by the gene circuit method, we find an asymptotic statement of the problem with a small parameter.

A method for two-dimensional registration and construction of the two-dimensional atlas of gene expression patterns in situ.

We apply the fast redundant dyadic wavelet transform to the spatial registration of two-dimensional gene expression patterns of 736 Drosophila melanogaster embryos. This method is superior to the Fourier transform or windowed Fourier transform because of its ability to reduce noise and is of high resolution. In registration of the dataset we use two cost functions based on computing the Euclidean or Mahalanobis distance.

Two-photon exchange corrections to the 2p(1/2)-2s transition energy in Li-like high- Z ions.

A rigorous QED calculation of the two-photon exchange corrections to the 2p(1/2)- 2s transition energy in Li-like high- Z ions is presented. The contribution due to an exchange by more than two photons is evaluated within the Breit approximation. The resulting theoretical value of the 2p(1/2)- 2s transition energy in Li-like uranium is found to be 280.

NetWork: an interactive interface to the tools for analysis of genetic network structure and dynamics.

We designed a Java applet called NetWork which enables a user to interactively construct and visualize a genetic network of interest, and to and to evaluate and explore its dynamics in the framework of a Boolean network model. NetWork displays the mechanism of gene interactions at the level of gene expression and enables the visualization of large genetic networks. NetWork can serve as an interactive interface to tools for the analysis of genetic network structure and behavior.