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Molecular modelling

physical science Maturity 9-11 Next article →

Molecular modelling involves various theoretical and computational methods used to mimic the behavior of molecules. These methods are essential tools in fields like computational chemistry, drug design, computational biology, and materials science. Scientists use these models to study systems of many different sizes. They might examine small chemical systems or very large biological molecules and material assemblies.

Hardware-accelerated-molecular-modeling
Hardware-accelerated-molecular-modeling

While the simplest calculations can be done by hand, computers are required for any reasonably sized system. The core feature of these methods is that they provide an atomistic level description of the molecular systems being studied.

There are two primary ways to approach this atomistic description. One approach is called molecular mechanics, which uses classical mechanics, also known as Newtonian mechanics, to describe the physical basis of the models. In this method, atoms are treated as point charges that have an associated mass. The interactions between neighboring atoms are described using spring-like interactions to represent chemical bonds. Scientists also use the Lennard-Jones potential to describe Van der Waals forces between atoms. Additionally, electrostatic interactions are computed using Coulomb's law. This approach treats the nucleus and electrons together as a single atom.

Another approach is known as quantum chemistry. This method is more detailed because it explicitly models the subatomic particles within the atoms. It looks at protons and neutrons, including their quarks, anti-quarks, and gluons. It also models electrons along with their photons. By using these specific particles, researchers can achieve a different level of detail than the molecular mechanics approach. This distinction allows scientists to choose the right level of complexity for the specific system they are investigating.

To manage these models, scientists use a mathematical expression called a potential function. This function is related to the system's internal energy, which is a thermodynamic quantity. The internal energy is the sum of the potential and kinetic energies. The potential function computes energy by looking at deviations in bond lengths, bond angles, and torsion angles from their equilibrium values. It also includes terms for non-bonded pairs of atoms, such as Van der Waals and electrostatic interactions. The specific set of parameters used, including bond angles, bond lengths, and partial charges, is called a force field.

Protein backbone PhiPsiOmega drawing
Protein backbone PhiPsiOmega drawing

Researchers use two main types of methods to analyze these potential functions. The first is energy minimization, which aims to find positions of zero gradient for all atoms. This results in a local energy minimum. Because lower energy states are more stable, these are frequently investigated to understand chemical and biological processes. The second method is molecular dynamics. Unlike the static picture provided by energy minimization, molecular dynamics models how a system behaves as a function of time. It solves Newton's second law of motion using integration algorithms to create atomic trajectories in space and time. This method is vital because it includes the effects of temperature on molecular movement.

When setting up these simulations, scientists must decide on the environment. A simulation performed in a vacuum is called a gas-phase simulation. If the simulation includes actual solvent molecules, such as water, it is called an explicit solvent simulation. Scientists can also use an implicit solvation simulation, where the effect of a solvent is estimated using an empirical mathematical expression. To track the atoms, computers use different coordinate systems. Cartesian coordinates are common because most force fields are distance-dependent. However, internal coordinates, such as the Z-matrix or torsion angle representation, are also used. These include bond lengths, angles between bonds, and twist angles.

Protein backbone PhiPsiOmega drawing
Protein backbone PhiPsiOmega drawing

Because moving between these systems can be difficult and time-consuming, the Natural Extension Reference Frame (NERF) method is often used for fast and accurate conversion.

Molecular modelling has many important applications in modern science. It is used to investigate the structure, dynamics, surface properties, and thermodynamics of inorganic, biological, and polymeric systems. In biology, these models help researchers study protein folding, enzyme catalysis, and protein stability. They are also used to understand conformational changes in biomolecular functions. Furthermore, modelling helps scientists explore molecular recognition involving proteins, DNA, and membrane complexes. By using these digital tools, scientists can observe complex processes that would be difficult to see in a traditional laboratory setting.

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