Abstract
This contribution discusses the need for adaptive model reduction when simulating biopolymeric systems and the issues surrounding the execution of these model changes in a computationally efficient manner. These systems include nucleic acids, proteins, and traditional polymers such as polyethylene. Two distinct general strategies of reducing selected degrees-of-freedom from the model are presented and the appropriateness of use is discussed. The strategies discussed herein are a momentum based approach and a velocity based approach. The momentum-based approach is derived from modeling discontinuous changes in model definition as instantaneous application (or removal) of constraints. The velocity-based approach is based on removing a degree-of-freedom when the associated generalized speed is zero. A Numerical example is included that demonstrates that both methods similarly characterize long-time conformational motion of a system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bhalerao KD, Crean C, Anderson KS (2011) Hybrid complementarity formulations for robotics applications. ZAMM J Appl Math Mech (Zeitschrift für Angewandte Mathematik und Mechanik) 91(5):386–399
Bhalerao KD, Poursina M, Anderson KS (2009) An efficient direct differentiation approach for sensitivity analysis of flexible multibody systems. Multibody Syst Dyn 23(2):121–140
Carnevali P, Toth G, Toubassi G, Meshkat SN (2003) Fast protein structure prediction using Monte Carlo simulations with modal moves. J Am Chem Soc 125:14244–14245
Chakrabarty A, Cagin T (2010) Coarse grain modeling of polyimide copolymers. Polymer 51(12):2786–2794
Chun HM, Padilla CE, Chin DN, Watenabe M, Karlov VI, Alper HE, Soosaar K, Blair KB, Becker OM, Caves LSD, Nagle R, Haney DN, Farmer BL (2000) MBO(N)D: a multibody method for long-time molecular dynamics simulations. J Comput Chem 21(3):159–184
Featherstone R (1999) A divide-and-conquer articulated-body algorithm for parallel O(log(n)) calculation of rigid-body dynamics. Part 1: basic algorithm. Int J Rob Res 18(9):867–875
Featherstone R (1999) A divide-and-conquer articulated-body algorithm for parallel O(log(n)) calculation of rigid-body dynamics. Part 2: trees, loops, and accuracy. Int J Rob Res 18(9):876–892
Jain A, Vaidehi N, Rodriguez G (1993) A fast recursive algorithm for molecular dynamics simulation. J Comput Phys 106(2):258–268
Khan IM, Anderson KS (2013) Khan IM, Poursina M, Anderson KS (2013) Model transitions and optimization problem in multiflexible-body systems: Application to modeling molecular systems. Comput Phys Commun 184(7), 1717–1728
Malczyk P, Frączek J (2012) A divide and conquer algorithm for constrained multibody system dynamics based on augmented Lagrangian method with projections-based error correction. Nonlinear Dyn 70(1):871–889
Mukherjee RM, Anderson KS (2006) Orthogonal complement based divide-and-conquer algorithm for constrained multibody systems. Nonlinear Dyn 48(1–2):199–215
Mukherjee RM, Anderson KS (2007) A logarithmic complexity divide-and-conquer algorithm for multi-flexible articulated body dynamics. J Comput Nonlinear Dyn 2(1):10
Mukherjee RM, Anderson KS (2007) Efficient methodology for multibody simulations with discontinuous changes in system definition. Multibody Syst Dyn 18(2):145–168
Mukherjee RM, Crozier PS, Plimpton SJ, Anderson KS (2008) Substructured molecular dynamics using multibody dynamics algorithms. Int J Nonlinear Mech Nonlinear Mech Dyn Macromol 43(10):1040–1055
Padilla P, Toxvaerd S (1991) Structure and dynamical behavior of fluid n-alkanes. J Chem Phys 95(1):509
Poursina M (2011) Robust framework for the adaptive multiscale modeling of biopolymers, Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, NY
Poursina M, Bhalerao KD, Flores SC, Anderson KS, Laederach A (2011) Strategies for articulated multibody-based adaptive coarse grain simulation of RNA. Methods Enzymol 487:73–98
Praprotnik M, Delle Site L, Kremer K (2005) Adaptive resolution molecular-dynamics simulation: changing the degrees of freedom on the fly. J Chem Phys 123(22):224106
Redon S, Galoppo N, Lin MC (2005) Adaptive dynamics of articulated bodies. ACM Trans Graph 24(3):936–945
Toxvaerd S (1989) Molecular dynamics calculation of the equation of state of liquid propane. J Chem Phys 91(6):3716
Tozzini V (2005) Coarse-grained models for proteins. Curr Opin Struct Biol 15(2):144–150
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Laflin, J.J., Anderson, K.S., Khan, I.M. (2014). Strategies for Adaptive Model Reduction with DCA-Based Multibody Modeling of Biopolymers. In: Terze, Z. (eds) Multibody Dynamics. Computational Methods in Applied Sciences, vol 35. Springer, Cham. https://doi.org/10.1007/978-3-319-07260-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-07260-9_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07259-3
Online ISBN: 978-3-319-07260-9
eBook Packages: EngineeringEngineering (R0)