Skip to Main content Skip to Navigation
Journal articles

MinActionPath: maximum likelihood trajectory for large-scale structural transitions in a coarse-grained locally harmonic energy landscape

Abstract : The non-linear problem of simulating the structural transition between two known forms of a macromolecule still remains a challenge in structural biology. The problem is usually addressed in an approximate way using 'morphing' techniques, which are linear interpolations of either the Cartesian or the internal coordinates between the initial and end states, followed by energy minimization. Here we describe a web tool that implements a new method to calculate the most probable trajectory that is exact for harmonic potentials; as an illustration of the method, the classical Calpha-based Elastic Network Model (ENM) is used both for the initial and the final states but other variants of the ENM are also possible. The Langevin equation under this potential is solved analytically using the Onsager and Machlup action minimization formalism on each side of the transition, thus replacing the original non-linear problem by a pair of linear differential equations joined by a non-linear boundary matching condition. The crossover between the two multidimensional energy curves around each state is found numerically using an iterative approach, producing the most probable trajectory and fully characterizing the transition state and its energy. Jobs calculating such trajectories can be submitted on-line at: http://lorentz.dynstr.pasteur.fr/joel/index.php.
Complete list of metadatas

Cited literature [30 references]  Display  Hide  Download

https://hal-pasteur.archives-ouvertes.fr/pasteur-02175143
Contributor : Marie de Tarragon <>
Submitted on : Friday, July 5, 2019 - 3:10:14 PM
Last modification on : Monday, January 13, 2020 - 5:08:07 PM

Licence


Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

Identifiers

Collections

Citation

Joel Franklin, Patrice Koehl, Sebastian Doniach, Marc Delarue. MinActionPath: maximum likelihood trajectory for large-scale structural transitions in a coarse-grained locally harmonic energy landscape. Nucleic Acids Research, Oxford University Press, 2007, 35 (suppl_2), pp.W477-W482. ⟨10.1093/nar/gkm342⟩. ⟨pasteur-02175143⟩

Share

Metrics

Record views

94

Files downloads

237