2013/04/17 by Abhishek Mukhopadhyay, Jianhua Xing, Mukhopadhyay, Abhishek +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #FOS: Physical sciences #Gene Regulatory Network Analysis #Protein Structure and Dynamics #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.1304.4908
openalex publication_date 2013/04/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The Zwanzig-Mori pro jection formalism is widely used in studying systems with many degrees of freedom. Recently Xing and Kim used the pro jection formalism and derived the generalized Langevin equations (GLEs) for a general stochastic system not necessarily obeying detailed balance. In this study we develop a numerical procedure to reconstruct the GLEs from data. Numerical tests on two biological networks show remarkable agreement between the results calculated from the reconstructed GLEs and those of full model simulations. We suggest that the procedure can be applied in model reduction and a novel way of nonlinear time series analysis.