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Poisson-Boltzmann equation

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Full-Text Articles in Physical Sciences and Mathematics

On The Modeling Of Polar Component Of Solvation Energy Using Smooth Gaussian-Based Dielectric Function, Lin Li, Chuan Li, Emil Alexov May 2014

On The Modeling Of Polar Component Of Solvation Energy Using Smooth Gaussian-Based Dielectric Function, Lin Li, Chuan Li, Emil Alexov

Publications

Traditional implicit methods for modeling electrostatics in biomolecules use a two-dielectric approach: a biomolecule is assigned low dielectric constant while the water phase is considered as a high dielectric constant medium. However, such an approach treats the biomolecule-water interface as a sharp dielectric border between two homogeneous dielectric media and does not account for inhomogeneous dielectric properties of the macromolecule as well. Recently we reported a new development, a smooth Gaussian-based dielectric function which treats the entire system, the solute and the water phase, as inhomogeneous dielectric medium (J Chem Theory Comput. 2013 Apr 9; 9(4): 2126-2136.). Here we examine …


On The Electrostatic Properties Of Homodimeric Proteins, Brandon Campbell, Marharyta Petukh, Emil Alexov, Chuan Li May 2014

On The Electrostatic Properties Of Homodimeric Proteins, Brandon Campbell, Marharyta Petukh, Emil Alexov, Chuan Li

Publications

A large fraction of proteins function as homodimers, but it is not always clear why the dimerization is important for functionality since frequently each monomer possesses a distinctive active site. Recent work (PLoS Computational Biology, 9(2), e1002924) indicates that homodimerization may be important for forming an electrostatic funnel in the spermine synthase homodimer which guides changed substrates toward the active centers. This prompted us to investigate the electrostatic properties of a large set of homodimeric proteins and resulted in an observation that in a vast majority of the cases the dimerization indeed results in specific electrostatic features, although not necessarily …


Continuous Development Of Schemes For Parallel Computing Of The Electrostatics In Biological Systems: Implementation In Delphi, Chuan Li, Marharyta Petukh, Lin Li, Emil Alexov Jun 2013

Continuous Development Of Schemes For Parallel Computing Of The Electrostatics In Biological Systems: Implementation In Delphi, Chuan Li, Marharyta Petukh, Lin Li, Emil Alexov

Publications

Due to the enormous importance of electrostatics in molecular biology, calculating the electrostatic potential and corresponding energies has become a standard computational approach for the study of biomolecules and nano-objects immersed in water and salt phase or other media. However, the electrostatics of large macromolecules and macromolecular complexes, including nano-objects, may not be obtainable via explicit methods and even the standard continuum electrostatics methods may not be applicable due to high computational time and memory requirements. Here, we report further development of the parallelization scheme reported in our previous work (J Comput Chem. 2012 Sep 15; 33(24):1960–6.) to include parallelization …


Progress In Developing Poisson-Boltzmann Equation Solvers, Chuan Li, Marharyta Petukh, Emil Alexov Mar 2013

Progress In Developing Poisson-Boltzmann Equation Solvers, Chuan Li, Marharyta Petukh, Emil Alexov

Publications

This review outlines the recent progress made in developing more accurate and efficient solutions to model electrostatics in systems comprised of bio-macromolecules and nano-objects, the last one referring to objects that do not have biological function themselves but nowadays are frequently used in biophysical and medical approaches in conjunction with bio-macromolecules. The problem of modeling macromolecular electrostatics is reviewed from two different angles: as a mathematical task provided the specific definition of the system to be modeled and as a physical problem aiming to better capture the phenomena occurring in the real experiments. In addition, specific attention is paid to …


Using Delphi Capabilities To Mimic Protein's Conformational Reorganization With Amino Acid Specific Dielectric Constants, Lin Wang, Zhe Zhang, Walter Rocchia, Emil Alexov Jan 2013

Using Delphi Capabilities To Mimic Protein's Conformational Reorganization With Amino Acid Specific Dielectric Constants, Lin Wang, Zhe Zhang, Walter Rocchia, Emil Alexov

Publications

Many molecular events are associated with small or large conformational changes occurring in the corresponding proteins. Modeling such changes is a challenge and requires significant amount of computing time. From point of view of electrostatics, these changes can be viewed as a reorganization of local charges and dipoles in response to the changes of the electrostatic field, if the cause is insertion or deletion of a charged amino acid. Here we report a large scale investigation of modeling the changes of the folding energy due to single mutations involving charged group. This allows the changes of the folding energy to …


Protein Nano-Object Integrator (Pronoi) For Generating Atomic Style Objects For Molecular Modeling, Nicholas Smith, Brandon Campbell, Lin Li, Chuan Li, Emil Alexov Dec 2012

Protein Nano-Object Integrator (Pronoi) For Generating Atomic Style Objects For Molecular Modeling, Nicholas Smith, Brandon Campbell, Lin Li, Chuan Li, Emil Alexov

Publications

Background

With the progress of nanotechnology, one frequently has to model biological macromolecules simultaneously with nano-objects. However, the atomic structures of the nano objects are typically not available or they are solid state entities. Because of that, the researchers have to investigate such nano systems by generating models of the nano objects in a manner that the existing software be able to carry the simulations. In addition, it should allow generating composite objects with complex shape by combining basic geometrical figures and embedding biological macromolecules within the system.

Results

Here we report the Protein Nano-Object Integrator (ProNOI) which allows for …


Delphi: A Comprehensive Suite For Delphi Software And Associated Resources, Lin Li, Chuan Li, Subhra Sarkar, Jie Zhang, Shawn Witham, Zhe Zhang, Lin Wang, Nicholas Smith, Marharyta Petukh, Emil Alexov May 2012

Delphi: A Comprehensive Suite For Delphi Software And Associated Resources, Lin Li, Chuan Li, Subhra Sarkar, Jie Zhang, Shawn Witham, Zhe Zhang, Lin Wang, Nicholas Smith, Marharyta Petukh, Emil Alexov

Publications

Background

Accurate modeling of electrostatic potential and corresponding energies becomes increasingly important for understanding properties of biological macromolecules and their complexes. However, this is not an easy task due to the irregular shape of biological entities and the presence of water and mobile ions.

Results

Here we report a comprehensive suite for the well-known Poisson-Boltzmann solver, DelPhi, enriched with additional features to facilitate DelPhi usage. The suite allows for easy download of both DelPhi executable files and source code along with a makefile for local installations. The users can obtain the DelPhi manual and parameter files required for the corresponding …