Team:EPF-Lausanne/Theory

From 2009.igem.org

(Difference between revisions)
Line 10: Line 10:
<br>
<br>
----
----
-
<br>
 
<br>
<br>
-
 
Molecular dynamics simulation consists of the numerical, step-by-step, solution of the classical equations of motion. For this purpose we need to be able to calculate the forces acting on the atoms, and these are usually derived from a potential energy. This potential energy can be divided into:
Molecular dynamics simulation consists of the numerical, step-by-step, solution of the classical equations of motion. For this purpose we need to be able to calculate the forces acting on the atoms, and these are usually derived from a potential energy. This potential energy can be divided into:
Line 27: Line 25:
To understand a bit more, you can see the following article:
To understand a bit more, you can see the following article:
[[Media:Introduction_to_molecular_Dynamics_Simulation.pdf‎ | Introduction to Molecular Dynamics Simulation - Michael P. Allen]]
[[Media:Introduction_to_molecular_Dynamics_Simulation.pdf‎ | Introduction to Molecular Dynamics Simulation - Michael P. Allen]]
 +
 +
 +
 +
<html>
 +
<p align="center" class="style1"><a href="#top"><img src="https://static.igem.org/mediawiki/2009/thumb/0/06/Up_arrow.png/50px-Up_arrow.png" alt="Back to top" border="0"></a><br></p>
 +
</html>
 +
<br>
 +
</div><div CLASS="epfl09bouchon"></div>
</div><div CLASS="epfl09bouchon"></div>

Revision as of 09:53, 28 July 2009


Molecular dynamics theory



Molecular dynamics simulation consists of the numerical, step-by-step, solution of the classical equations of motion. For this purpose we need to be able to calculate the forces acting on the atoms, and these are usually derived from a potential energy. This potential energy can be divided into:

  • the non-bonded interactions:
    • The Lennard-Jones potential is the most commonly used form, with two parameters: σ, the diameter, and ε, the well depth. It takes into account the Van der Waals forces. It represents the non-bonded forces and the total potential energy can be calculated from the sum of energy contributions between pairs of atoms.
      Lennard jones vdw forces.jpg
    • when electrostatic charges are present, we add the Coulomb force, where Q1, Q2 are the charges and ϵ0 is the permittivity of free space
Coulomb.jpg


  • the bonded interactions: angles, bonds and dihedral angles have to be taken into account
Bonded.jpg


To understand a bit more, you can see the following article: Introduction to Molecular Dynamics Simulation - Michael P. Allen


Back to top