Implicit Membrane Anisotropic Network Model

This module defines a class and a function for explicit membrane ANM calculations.

class imANM(name='Unknown')

Class for implicit ANM (imANM) method ([FT00]).

[TL12]

Lezon TR, Bahar I, Constraints Imposed by the Membrane Selectively Guide the Alternating Access Dynamics of the Glutamate Transporter GltPh

addEigenpair(vector, value=None)

Add eigen vector and eigen value pair(s) to the instance. If eigen value is omitted, it will be set to 1. Inverse eigenvalues are set as variances.

buildHessian(coords, blocks, cutoff=15.0, gamma=1.0, **kwargs)

Build Hessian matrix for given coordinate set.

Parameters:

• coords (numpy.ndarray) – a coordinate set or an object with getCoords method
• blocks (list, numpy.ndarray) – a list or array of block identifiers
• cutoff (float) – cutoff distance (Å) for pairwise interactions, default is 15.0 Å
• gamma (float) – spring constant, default is 1.0
• scale (float) – scaling factor for force constant along Z-direction, default is 16.0
• membrane_low (float) – minimum z-coordinate at which membrane scaling is applied default is 1.0
• membrane_high (float) – maximum z-coordinate at which membrane scaling is applied. If membrane_high < membrane_low, scaling will be applied to the entire structure default is -1.0

calcModes(n_modes=20, zeros=False, turbo=True)

Calculate normal modes. This method uses scipy.linalg.eigh() function to diagonalize the Hessian matrix. When Scipy is not found, numpy.linalg.eigh() is used.

Parameters:

• n_modes (int or None, default is 20) – number of non-zero eigenvalues/vectors to calculate. If None is given, all modes will be calculated.
• zeros (bool, default is True) – If True, modes with zero eigenvalues will be kept.
• turbo (bool, default is True) – Use a memory intensive, but faster way to calculate modes.

getArray()

Returns a copy of eigenvectors array.

getCovariance()

Returns covariance matrix. If covariance matrix is not set or yet calculated, it will be calculated using available modes.

getEigvals()

Returns eigenvalues. For PCA and EDA models built using coordinate data in Å, unit of eigenvalues is Ų. For ANM, GNM, and RTB, on the other hand, eigenvalues are in arbitrary or relative units but they correlate with stiffness of the motion along associated eigenvector.

getEigvecs()

Returns a copy of eigenvectors array.

getHessian()

Returns a copy of the Hessian matrix.

getModel()

Returns self.

getProjection()

Returns a copy of the projection matrix.

getTitle()

Returns title of the model.

getVariances()

Returns variances. For PCA and EDA models built using coordinate data in Å, unit of variance is Ų. For ANM, GNM, and RTB, on the other hand, variance is the inverse of the eigenvalue, so it has arbitrary or relative units.

is3d()

Returns True if model is 3-dimensional.

numAtoms()

Returns number of atoms.

numDOF()

Returns number of degrees of freedom.

numEntries()

Returns number of entries in one eigenvector.

numModes()

Returns number of modes in the instance (not necessarily maximum number of possible modes).

setHessian(hessian)

Set Hessian matrix. A symmetric matrix is expected, i.e. not a lower- or upper-triangular matrix.

setTitle(title)

Set title of the model.