<p>In the study of protein self-assembly, knowledge of the extent of electrical and hydrophobic interactions is important. In previous work our group deduced an expression for the hydrophobic energy between the monomers of an assembly. This energy decays exponentially with a characteristic distance <Emphasis Type="BoldItalic">r</Emphasis><sub>H</sub>. The object of this work is to obtain a more precise physical interpretation of <Emphasis Type="BoldItalic">r</Emphasis><sub>H</sub>. In very simple systems, according to our model, <Emphasis Type="BoldItalic">r</Emphasis><sub>H</sub> turns out to be the distance between the hydrophobic dipole moment vectors <Emphasis Type="BoldItalic">H</Emphasis>. As systems become more complex and the action of the electrostatic dipole moment vectors <Emphasis Type="BoldItalic">D</Emphasis> appear, discrepancies begin to be seen between the values obtained for <Emphasis Type="BoldItalic">r</Emphasis><sub>H</sub> and the distances between vectors. It is observed that the simple application of Coulomb’s law is not sufficient to explain these discrepancies. We introduce the (D–H) factor into the electrostatic interaction, since proteins interact within an ionic medium. This formulation implies the appearance of an exponential decay factor <i>r</i><sub>D</sub>, which is the thickness of the ionic atmosphere surrounding protein molecules. The distance adopted by two interacting monomers in a protein assembly is affected by both types of interaction and therefore is a function of both <i>r</i><sub>H</sub> and <i>r</i><sub>D</sub>. In a number of cases, the electrostatic interaction between <Emphasis Type="BoldItalic">D</Emphasis> vectors is repulsive, generating a potential barrier that monomers are able to cross thanks to an overwhelmingly attractive hydrophobic potential well. In other cases both interactions are attractive and the distance between monomers appears as a compromise of both <i>r</i><sub>H</sub> and <i>r</i><sub>D</sub>. </p>

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The influence of the Debye–Hückel factor in estimating the distance between interacting monomers in self-assembling proteins

  • Angel Mozo-Villarías,
  • Enrique Querol,
  • Juan A. Cedano

摘要

In the study of protein self-assembly, knowledge of the extent of electrical and hydrophobic interactions is important. In previous work our group deduced an expression for the hydrophobic energy between the monomers of an assembly. This energy decays exponentially with a characteristic distance rH. The object of this work is to obtain a more precise physical interpretation of rH. In very simple systems, according to our model, rH turns out to be the distance between the hydrophobic dipole moment vectors H. As systems become more complex and the action of the electrostatic dipole moment vectors D appear, discrepancies begin to be seen between the values obtained for rH and the distances between vectors. It is observed that the simple application of Coulomb’s law is not sufficient to explain these discrepancies. We introduce the (D–H) factor into the electrostatic interaction, since proteins interact within an ionic medium. This formulation implies the appearance of an exponential decay factor rD, which is the thickness of the ionic atmosphere surrounding protein molecules. The distance adopted by two interacting monomers in a protein assembly is affected by both types of interaction and therefore is a function of both rH and rD. In a number of cases, the electrostatic interaction between D vectors is repulsive, generating a potential barrier that monomers are able to cross thanks to an overwhelmingly attractive hydrophobic potential well. In other cases both interactions are attractive and the distance between monomers appears as a compromise of both rH and rD.