tailieunhanh - Báo cáo sinh học: "Inverse bifurcation analysis: application to simple gene systems"

Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí y học Molecular Biology cung cấp cho các bạn kiến thức về ngành sinh học đề tài: Inverse bifurcation analysis: application to simple gene systems. | Algorithms for Molecular Biology BioMed Central Open Access Inverse bifurcation analysis application to simple gene systems James Lu 1 Heinz W Engl1 and Peter Schuster2 Address 1Johann Radon Institute for Computational and Applied Mathematics Austrian Academy of Sciences Altenbergerstrasse 69 A-4040 Linz Austria and 2Theoretical Biochemistry Group Institute for Theoretical Chemistry University of Vienna Wahringerstrasse 17 A-1090 Vienna Austria Email James Lu - Heinz W Engl - Peter Schuster - pks@ Corresponding author Published 21 July 2006 Received 21 June 2006 Algorithms for Molecular Biology 2006 1 11 doi 1748-7188-1-11 Accepted 21 July 2006 This article is available from http content 1 1 11 2006 Lu et al licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Abstract Background Bifurcation analysis has proven to be a powerful method for understanding the qualitative behavior of gene regulatory networks. In addition to the more traditional forward problem of determining the mapping from parameter space to the space of model behavior the inverse problem of determining model parameters to result in certain desired properties of the bifurcation diagram provides an attractive methodology for addressing important biological problems. These include understanding how the robustness of qualitative behavior arises from system design as well as providing a way to engineer biological networks with qualitative properties. Results We demonstrate that certain inverse bifurcation problems of biological interest may be cast as optimization problems involving minimal distances of reference parameter sets to bifurcation manifolds. This formulation allows for an .