Physics – Computational Physics
Scientific paper
2010-02-04
Physics
Computational Physics
13 pages, 16 figures, submitted to Automatica
Scientific paper
Long length-scale structural deformations of DNA play a central role in many biological processes including gene expression. The elastic rod model, which uses a continuum approximation, has emerged as a viable tool to model deformations of DNA molecules. The elastic rod model predictions are however very sensitive to the constitutive law (material properties) of the molecule, which in turn, vary along the molecules length according to its base-pair sequence. Identification of the nonlinear sequence-dependent constitutive law from experimental data and feasible molecular dynamics simulations remains a significant challenge. In this paper, we develop techniques to use elastic rod model equations in combination with limited experimental measurements or high-fidelity molecular dynamics simulation data to estimate the nonlinear constitutive law governing DNA molecules. We first cast the elastic rod model equations in state-space form and express the effect of the unknown constitutive law as an unknown input to the system. We then develop a two-step technique to estimate the unknown constitutive law. We discuss various generalizations and investigate the robustness of this technique through simulations.
Goyal Sachin
Palanthandalam-Madapusi Harish J.
No associations
LandOfFree
Estimation of Nonlinear Three-dimensional Constitutive Law for DNA Molecules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Estimation of Nonlinear Three-dimensional Constitutive Law for DNA Molecules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Estimation of Nonlinear Three-dimensional Constitutive Law for DNA Molecules will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-534402