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This module introduces students to a family of algorithms for assessing molecular shape, volume, surface area, and negative space (i.e., pockets and cavities).

    Topics in this module

  • Introduction
  • Representing Shape
  • Alpha-Shapes
    • Delaunay Triangulation
    • Weighted Alpha-Shapes
  • Calculating Molecular Volume Using Alpha-Shapes
  • Related Software

Introduction

Many problems in structural biology, require a researcher to understand the shape of a protein. At first glance, this may seem obvious. By opening a molecular visualizer, one can easily see the shape of a protein. But what about calculating the surface area or volume of the protein? What about performing analyses of the surface, such as looking for concave pockets in a protein that might be binding sites for other molecules? What about calculating the volume and shape of those empty binding pockets, in order to find molecules that might fit in them? What about determining whether a particular small molecule can fit in a binding pocket?

All of these problems require some formal notion of the shape of a protein. A protein structure file usually provides no more information than a list of atom locations in space and their types. It will be assumed that for any given application, a radius may be defined for each atom type. This leads to the space filling representation of a protein, in which each atom is treated as an impenetrable sphere.

Hiv-1 protease

A space filling representation of HIV-1 protease (yellow) with an inhibitory drug (red) blocking its binding site.
This representation allows for visualization, but it brings us no closer to being able to computationally decide which parts of which atoms are on the surface of the protein and which are buried inside the structure. Some additional tool is needed to capture notions of interior and exterior and spatial adjacency.

Representing shape

Using the sphere model for atoms, one way to define the shape of a molecule is as the union of (possibly overlapping) balls in R 3 .

Space filling diagram

The space filling diagram models each atom as a sphere in 3D.
Since proteins inside our cells are in an aqueous environment, considering a protein's interactions with solvent molecules, particularly water, is very important forappropriately modeling them. Recall that one of the phenomena that determines the structure of a protein is the hydrophobic effect: some amino acid residues are stabilized by the presence of water, and others are repelled. The extent of the interaction of a protein with the surrounding waterdepends on the surface area of the protein that can be reached by water molecules. Therefore, quantitave modeling of the strength of interaction with solvent often involves computing the solvent accessible surface area (SASA) . Computing SASA can be done by regarding each solvent molecule as a sphere of set radius. This is of course a simplification, since water molecules are not spherical. When thissphere rolls about the molecule, its center delineates the SASA. One can think of the SASA of a molecule as the result of growing each atom sphere bythe radius of the solvent sphere. Instead, by taking what is swept out by the front of the solvent sphere, we obtain the molecular surface (MS) model of the molecule. Alternatively, the MS can be obtained by removing a layer ofsolvent radius depth from the SASA model.

Representations of molecular shape

Vdw representation

Each atom can be modeled as a Van der Waals sphere in three dimensions. The union of the spheres gives the molecular surface.

Accessible surface area

Not all molecular surface is accessible to solvent due to the existence of small cavities. Rolling a solvent ball over the Van der Waalsspheres traces out the surface area experienced by the solvent. Solvent accessible surface area (SASA) is a very important measure forquantitatively determining the behavior and interaction tendencies of a protein.
Two different notions and representations of the surface of a molecule.
The surface determined by SASA analysis depends on the size of a typical solvent molecule. The larger the solvent, the less contoured the resulting surface will appear, because a larger probe molecules would not be able to fit into some of the interatomic spaces that a smaller one would.

Solvent accessible surface area

Probing the surface area with a solvent ball of radius 1.4 å

Typically, solvent is modeled as a ball of radius 1.4 Å. This delineates the solvent accessible surface shown.

Probing the surface area with a solvent ball of radius 1.5 å

Increasing the radius of the solvent ball reduces the solvent accessible surface area because there are more cavitiesthat a bulkier ball cannot penetrate.
Solvent-accessible surface area (SASA) for two different solvent radii.

Questions & Answers

what is microbiology
Agebe Reply
What is a cell
Odelana Reply
what is cell
Mohammed
how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
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all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
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Source:  OpenStax, Geometric methods in structural computational biology. OpenStax CNX. Jun 11, 2007 Download for free at http://cnx.org/content/col10344/1.6
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