HGAna 0.1
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        • double_decoupling

    double_decoupling¶

    hgana.affinity.double_decoupling(temp, dG_hydr, dG_host, restraints, forces={'K_phi_A': 50, 'K_phi_B': 50, 'K_phi_C': 50, 'K_r': 500, 'K_theta_A': 50, 'K_theta_B': 50})¶

    Calculate the double decoupling free enthalpy difference according to

    \[\Delta G^\text{DD}=\Delta G_{\mathrm{u\rightarrow b}}^\mathrm{M}=-\Delta G_\mathrm{hyd}^\mathrm{M}-\Delta G_{\mathrm{b\rightarrow tor}}^{\mathrm{M\rightarrow M'}}-\Delta G_{\mathrm{tor}}^{\mathrm{M'}}.\]

    Hereby \(\Delta G_\mathrm{hyd}^\mathrm{M}\) is the hydration enthalpy energy from the unbound state, \(\Delta G_{\mathrm{b\rightarrow tor}}^{\mathrm{M\rightarrow M'}}\) the free enthalpy difference from turning on orientational and translational restrants (tor) and deactivating the intramolecular interactions of the guest molecule with its surroundings. The free enthalpy differnece due to restraints \(\Delta G_{\mathrm{tor}}^{\mathrm{M'}}\) is then subtracted. This contribution can be calculated analytaically as proposed by Boresch and Karplus

    \[\Delta G_{\mathrm{tor}}^{\mathrm{M'}}=-RT\ln\left[\frac{8\pi V^0(K_rK_{\theta_A}K_{\theta_B}K_{\phi_A}K_{\phi_B}K_{\phi_C})^\frac{1}{2}}{r_{aA,0}^2\sin\theta_{A,0}\sin\theta_{B,0}(2\pi RT)^3}\right].\]
    Parameters:
    temp : float

    System temperature in K

    dG_hydr : float

    Hydration free enthalpy \(\Delta G_\mathrm{hyd}^\mathrm{M}\) in kJ/mol

    dG_host : float

    Free enthalpy difference from turning on restraints and deactivating intramolecular interactions \(\Delta G_{\mathrm{b\rightarrow tor}}^{\mathrm{M\rightarrow M'}}\) in kJ/mol

    restraints : dictionary

    Restraints applied during simulation

    forces : dictionary, optional

    Restraint forces applied during simulation

    Returns:
    dG : dictionary

    Dictionary containing the binding free enthalpy dG_tot and the analytical free enthalpy difference due to restraints dG_rest

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    © Copyright 2021, Hamzeh Kraus.
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