Dynamic Pathway Modeling

Abstract:  A major challenge in systems biology is to evaluate the feasibility of a biological research project prior to its realization. Since experiments are animals‐, cost‐ and time‐consuming, approaches allowing researchers to discriminate alternative hypotheses with a minimal set of experiments are highly desirable. Given a null hypothesis and alternative model, as well as laboratory constraints like observable players, sample size, noise level, and stimulation options, we suggest a method to obtain a list of required experiments in order to significantly reject the null hypothesis model M0 if a specified alternative model MA is realized. For this purpose, we estimate the power to detect a violation of M0 by means of Monte Carlo simulations. Iteratively, the power is maximized over all feasible stimulations of the system using multi‐experiment fitting, leading to an optimal combination of experimental settings to discriminate the null hypothesis and alternative model. We prove the importance of simultaneous modeling of combined experiments with quantitative, highly sampled in vivo measurements from the Jak/STAT5 signaling pathway in fibroblasts, stimulated with erythropoietin (Epo). Afterwards we apply the presented iterative experimental design approach to the Jak/STAT3 pathway of primary hepatocytes stimulated with IL‐6. Our approach offers the possibility of deciding which scientific questions can be answered based on existing laboratory constraints. To be able to concentrate on feasible questions on account of inexpensive computational simulations yields not only enormous cost and time saving, but also helps to specify realizable, systematic research projects in advance.

[1]  Anne Lohrli Chapman and Hall , 1985 .

[2]  Richard H. Byrd,et al.  Approximate solution of the trust region problem by minimization over two-dimensional subspaces , 1988, Math. Program..

[3]  T. Steihaug The Conjugate Gradient Method and Trust Regions in Large Scale Optimization , 1983 .

[4]  H. Kitano Systems Biology: A Brief Overview , 2002, Science.

[5]  J Timmer,et al.  Quantitative data generation for systems biology: the impact of randomisation, calibrators and normalisers. , 2005, Systems biology.

[6]  Thomas F. Coleman,et al.  An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds , 1993, SIAM J. Optim..

[7]  Rudiyanto Gunawan,et al.  Iterative approach to model identification of biological networks , 2005, BMC Bioinformatics.

[8]  J. Rice Mathematical Statistics and Data Analysis , 1988 .

[9]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[10]  R. Eils,et al.  Mathematical modeling reveals threshold mechanism in CD95-induced apoptosis , 2004, The Journal of cell biology.

[11]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[12]  Kwang-Hyun Cho,et al.  Experimental Design in Systems Biology, Based on Parameter Sensitivity Analysis Using a Monte Carlo Method: A Case Study for the TNFα-Mediated NF-κ B Signal Transduction Pathway , 2003, Simul..

[13]  B. Palsson,et al.  The evolution of molecular biology into systems biology , 2004, Nature Biotechnology.

[14]  Sebastian Bohl,et al.  Computational processing and error reduction strategies for standardized quantitative data in biological networks , 2005, The FEBS journal.

[15]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[16]  Thomas F. Coleman,et al.  A Preconditioned Conjugate Gradient Approach to Linear Equality Constrained Minimization , 2001, Comput. Optim. Appl..

[17]  Jorge J. Moré,et al.  Computing a Trust Region Step , 1983 .

[18]  J. Timmer,et al.  Identification of nucleocytoplasmic cycling as a remote sensor in cellular signaling by databased modeling , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[19]  Eduardo Sontag,et al.  Untangling the wires: A strategy to trace functional interactions in signaling and gene networks , 2002, Proceedings of the National Academy of Sciences of the United States of America.