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Gaussian Network Model (GNM) predicts the flexibility of the structure by reducing it to be a set of certain atoms. The interactions of these atoms depend solely on their location. This representative set of atoms is known as nodes. Then a cutoff distance is defined such that outside of this distance, there are no interactions between nodes.
Gaussian Network Model (GNM) predicts the flexibility of the structure by reducing it to be a set of certain atoms. The interactions of these atoms depend solely on their location. This representative set of atoms is known as nodes. Then a cutoff distance is defined such that outside of this distance, there are no interactions between nodes.
[[Image:Nodes.png|Image from http://ignm.ccbb.pitt.edu/GNM_Online_Calculation.htm]]
For a network of N nodes with given coordinates, the cutoff distnace is r<sub>c</sub>. The fundamental NxN Kirchhoff matrix, Γ, has elements:
[[Image:Kirchoff.png]]
where r<sub>ij</sub> is the distance between node i and node j. H(x) is the Heaviside step function where H(x)=1 for x>0 and H(x)=0 for x≤0.

Revision as of 12:21, 18 October 2011


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GNM

Gaussian Network Model (GNM) predicts the flexibility of the structure by reducing it to be a set of certain atoms. The interactions of these atoms depend solely on their location. This representative set of atoms is known as nodes. Then a cutoff distance is defined such that outside of this distance, there are no interactions between nodes.

Image from http://ignm.ccbb.pitt.edu/GNM_Online_Calculation.htm

For a network of N nodes with given coordinates, the cutoff distnace is rc. The fundamental NxN Kirchhoff matrix, Γ, has elements: where rij is the distance between node i and node j. H(x) is the Heaviside step function where H(x)=1 for x>0 and H(x)=0 for x≤0.