Download Experimental Methods for Macromolecular Structure Determination

Structural Bioinformatics
(C3210)
Experimental Methods for
Macromolecular Structure
Determination
Introduction
Knowing the exact 3D-structure of bio-molecules is essential for
any attempt to understand how they work and how they interact
with each other. Unfortunately, getting to the structure of such
macromolecules in the lab is not easy. X-ray crystallography,
Nuclear Magnetic Resonance (NMR) spectroscopy, cryo-electron
microscopy and neutron diffraction are the four main techniques
that provide protein structures experimentally.
The distribution by source of the structures available in the protein
data bank is indicated in the diagram below (neutron diffraction
not shown - it was approx. 66 structures in PDB in 2013).
PDB distribution in 2013:
X-ray:
83373
(88%)
NMR:
10079
(11%)
EM:
650 (0.7%)
ND:
66 (0.01%)
2
X-ray Crystallography
X-ray crystallography is a technique in which the pattern
generated by the diffraction of X-rays passing through the single
crystal lattice of a given material is recorded and then analyzed
to reveal the 3D structure of the molecules composing the lattice.
X-ray crystallography involves the following steps:
 protein production
 growing of crystal
 measurement of diffraction
data
 electron density calculation
 structure determination and
refinement
3
Protein Production and Purification
The first step is to get large amounts of protein we want to
crystallize. This is generally done by cloning the protein in various
expression systems such as microorganism, bacteria, plant etc....
The protein is then purified, since only highly purified solutions
can give rise to crystals and not every protein can be purified to a
sufficient degree.
4
Molecular Cloning
Molecular cloning refers to the procedure of isolating a defined
DNA sequence and obtaining multiple copies of it in vivo. It can
also be used to produce protein codded by the DNA sequence.
The procedure consists of the following steps:
 preparation of protein coding DNA (isolation
from fragmented cell DNA)
 inclusion of the DNA fragment into plasmid
(cyclic DNA)
 transformation of DNA fragment into bacteria
 cultivation of bacteria cells that include
required gene
 isolation of protein from bacteria cells and its
purification (cell disruption, precipitation,
ultracentrifugation, chromatography ...)
5
Growing of Single Crystal
Many approaches are used to produce crystals but the general
method is to start with a solution of the protein and to slowly
change the conditions so that saturation is exceeded. This can be
done by changing parameters such as ionic strength (by adding
sallts), pH, temperature of the solution. Supersaturation has to be
reached slowly so that only a few nucleation sites are created
which, with time, will grow larger.
Thousands of solution conditions may be tried before finding one
that succeeds in crystallizing the molecules, and ultimate success
is never guaranteed.
6
Methods of Growing Protein Crystal
The most common method is as follows. A protein is dissolved in
a buffer solution and precipitant (salt or polyethyleneglycol) is
added very slowly to reduce the solubility close to spontaneous
precipitation. Then water is slowly removed by controlled
evaporation resulting in precipitation. If left undisturbed for a few
days ideally a few large crystals will grow.
There are various methods implementing this approach. The most
common is hanging drop - vapor diffusion method - a drop of
protein solution is suspended over a reservoir containing buffer
and precipitant (of higher concentration than in the drop). Water
diffuses from the drop to the solution leaving the drop with
optimal crystal growth conditions. Sitting drop - vapor diffusion
method is similar only different placement of a drop is used.
hanging
drop
sitting
drop
lysozyme crystal
7
Crystalization Screening
Different proteins crystallize under different conditions
(concentrations of protein and precipitant, pH, temperature ...)
which is difficult to find
 Crystallization screening is the search for conditions that allow
crystal growth in a multi-component solution
 Automated systems are used to prepare solutions with different
concentrations of protein, precipitant and other components
 Mosquito Crystal robot automates high density 96-well hanging
drop plate preparation; see video:

http://www.youtube.com/user/ttplabtech#p/u/1/gNolATSi3Qo
http://www.youtube.com/user/ttplabtech#p/u/3/gi3zcUyBLz4
8
Properties of Protein Crystals
The protein crystals are not as dense packed as crystals of small
molecules. They are loosely packed, with large solvent-filled holes
and channels that may occupy up to 50% of the crystal volume.
Protein crystal are very fragile.
 The protein crystals must always be kept in contact with their
mother liquor or saturated vapour of the liquor even during
exposition to X-ray beams, so crystals are usually closed in glass
capillary during measurement (see figure).
 Alternatively, a crystal can be cooled to very low temperature
(approx 100 K) which preserve the crystal in the X-ray beam

<- Packing of protein molecules
in crystal. Black areas are filled
with water.
-> Protein crystal in sealed
capillary prepared for X-ray
measurement.
9
The Single Crystal
The crystal for X-rays measurement must be a crystalline solid
in which the crystal lattice of the sample is pure, continuous and
unbroken.
 The size of a protein crystal must be approximately 0.2-0.5 mm
in all three dimensions to diffract strongly enough to achieve the
resolution needed for a successful 3D structure determination.
 The basic unit of a crystal is called the unit cell, which is defined
by three principal axes (a, b and c) and three angles (alpha,
beta and gamma).

10
Collecting the Diffraction Data
The crystal is bombarded by X-rays, and the interference
between rays scattered by different parts of the crystal give rise
to diffraction. This diffraction pattern is dependent on the 3D
location of the atoms.
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X-ray Difractiometer
When X-rays encounters a crystal lattice, electrons diffract the
X-rays, which results in a diffraction pattern.
 In four-cycle diffractometer the crystal is mounted in a
goniometer head located at the centre of the diffractometer and
irradiated with X-ray beam. Intensity of diffracted X-ray radiation
is measured by detector for different crystal rotations.
 See video: http://www.youtube.com/watch?v=eRa42zzBkpw

http://www.youtube.com/watch?v=yNjPPYirwGA&feature=related
http://www.youtube.com/watch?v=LU6lExqbxHs&feature=related
http://video.moglik.com/v/2xzLxYE18C8/Tour-of-the-I16-Experimental-Hutch-with-the-.htm
12
X-ray Generation
Evacuated cathode-ray tube:
 Electrons traverse the evacuated tube from cathode to anode
and generate X-ray by high energy collision with anode
 A high-energy electron collided with and displace an electron
from a low-lying ortbital in a target metal atom of anode. Then
an electron from a higher orbital drops into the resulting
vacancy, emitting its excess energy as an X-ray photon
13
Cathode-ray tube
Scheme of synchrotron
Synchrotron in Grenoble
X-ray Generation
Synchrotron radiation:
 Synchrotron are particles accelerators that circulate electron
beams at speeds close to the speed of light
 Whenever electron beam is forced to change direction,
electromagnetic radiation is released
 Produced radiation covers broad range of wavelengths about 1 A
 X-ray radiation is two orders of magnitude more intense, so
measurements are much faster than with evacuated cathoderay tube radiation
 Synchrotrons are big and expensive devices
 Web links: http://www.esrf.eu/AboutUs/GuidedTour

Video:
http://www.diamond.ac.uk/Home/Media/Links.html
http://video.moglik.com/v/2xzLxYE18C8/Tour-of-the-I16-Experimental-Hutch-with-the-.htm
http://www.youtube.com/watch?v=_xv_GwCgpAc
ESFR,
Grenoble,
France
14
Cathode-ray tube
Scheme of synchrotron
Synchrotron in Grenoble
Electron Density Calculation
The diffraction pattern is analyzed by mathematical and
computation methods (Fourier transform analysis) to produce an
electron density map. These maps show contour lines of
electron density.
 Since electrons more or less surround atoms uniformly, it is
possible to determine where atoms are located
 Unfortunately, since hydrogen has only one electron, it is
difficult to map hydrogens

15
Electron Density Maps at Different Resolution
Quality of density maps is described by its resolution
 Very low resolution 8 to 6 Å: solvent/protein boundary visible,
may see helices or beta sheet (unlikely), no sign of ligands
 Low resolution 6 to 3.5Å: secondary structure visible
 Medium resolution 3.5 to 2.4Å: side chains visible, some still
blurred, unambiguous secondary structure, ligands clearly
visible, some water (primary solvation shell) visible
 Medium high resolution 2.4 to 2.0Å: most side chains
unambiguously defined
 High resolution 2.0 to 1.6Å: very accurate ligand-protein
interactions, multiple side chain conformations, secondary
solvation shell visible
 Very high resolution 1.6 to 0.9Å: individual atoms visible

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Structure Determination and Refinement
Structure determination:
 Electron maps are interpreted and fitted to a 3D structure model
 For low and medium resolution electron maps, information abut
residues sequence is necessary, because some amino acids
have very similar side-chain electron density
 Structure model can be build manually using interactive
graphics system or automatically using software tools
Structure refinement:
 The atomic model must be further refined. Original model is
used to generate modified models using molecular dynamicsbased method or other methods. For these models, theoretical
diffraction patterns are calculated and compared to
experimental data. This process continues until good agreement
with experimental data is achieved.
17
Structure Validation
The quality of the structure is validated by comparing various
parameters with typical values in proteins
 Distribution of backbone dihedral angles (Ramachandran plot)
should correspond to values observed in majority of proteins
 Distribution of hydrophobic and hydrophilic amino acids is also
useful indicator. Hydrophobic acids dominates in inferior of the
protein while hydrophobic proteins are more common on protein
surface.

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Structure Quality Estimation
At the end of the process, the 3D structure of the macromolecule
is obtained as a list of coordinates (x, y and z). The overall quality
of the coordinates is usually measured by two quantities:
 The resolution - this is the ability to resolve two points separated
by some distance from each other. The higher the resolution,
the "sharper" our view of the structure. To obtain structures of
reasonable quality measurement should have resolution have
resolution less than 2.0 A
 The crystallographic R factor - it measures the agreement
between observed diffraction patterns and those calculated
from determined structure. The value 0.0 corresponds to
perfect agreement of calculated and observed intensities. A
well-refined structure of a macromolecule has an R factor not
larger 0.2.
|Fobs| is derived from the measured intensity of a reflection in the diffraction
pattern, and |Fcalc| is the intensity of the same reflection calculated from the
current model. The sum is over points in space.
19
The Advantages of X-ray Crystallography
X-ray crystallography has major advantages, making it the most
practical method for bio-molecule structure determination. It
provides accurate atomic resolution models and allows scientists
to resolve relatively large structures and complexes. Recent
examples are structures of viral capsides and the ribosome, each
composed of tens of thousands of atoms.
20
The Limitations of X-ray Crystallography
X-ray crystallography also has some major limitations:
 The information provides only one snapshot of the protein that
does not reflect its dynamic behavior
 Contacts between molecules in the crystal (crystal packing) and
the dense packing might affect the structures
 The procedure is very slow
 There are many macromolecules which are difficult to crystalize,
such as proteins with significant hydrophobic portions
(membrane proteins) or highly flexible proteins
 Positions of hydrogens are difficult to obtain (can be determined
at very high resolution, but with limited reliability only)
21
NMR Spectroscopy
Nuclear magnetic resonance (NMR) is a physical phenomenon
based upon the magnetic properties of the nuclei of some atoms.
NMR spectroscopy of macromolecules was developed in the mid1980s enabling the elucidation of 3D structures of
macromolecules in solution. The first NMR structures deposited at
the PDB started to appear in the early 1990s.
22
Nuclear Magnetic Resonance
Some atomic nuclei, such as 1H, 13C, 15N and 31P have magnetic
moment cause by their spin
 When the nuclei are placed in a strong external static magnetic
field they align with or against an applied field.
 Exposition of the nuclei to a second oscillating magnetic field of
specific (resonance) frequency can cause the spin to reverse its
orientation.
 The resonance frequency depends on strength of static
magnetic field. This external magnetic field is partially shielded
by electron cloud around nuclei. Because local electronic
environment differs for different atoms, effective field acting on
the nuclei is also different that causes different resonant
frequencies
 Difference between resonant
frequency of specific nuclei and
reference frequency is called
chemical shift
 Chemical shift depends on
electronic environment of an atom;
higher values of the shift correspond
to higher electronic shielding

23
NMR Spectroscopy
NMR spectroscopy is experimental method based on
measurement of resonant frequencies (chemical shift
respectively) of atomic nuclei in molecules
 Because atoms in specific atomic groups have characteristic
chemical shifts, NMR spectra can be used to identify atom
groups of molecule
 Measurement of 1H is the most common
 Measurement of 13C is also common but much less sensitive
mainly because 13C isotope forms of about 1% only of C isotopes
(the most common isotope is 12C).
 Small molecules and biological macromolecules (proteins, DNA)
are usually measured in liquid state (solution) although solid
state measurement is also possible (e.g. in material research)

24
NMR Instrumentation
Current NMR spectrometers utilize high-field superconducting
magnets producing magnetic field up to 24 T and working with
frequency of RF field up to 1000 MHz
 The sample (approx. 300 – 600 microlitres with 0.1 – 3 mM of
protein) is positioned in the magnetic field and excited via
pulsations in the radio frequency input circuit. The realigned
magnetic fields induce a radio signal in the output circuit which
is used to generate the output signal.

25
NMR in CEITEC

NMR spectrometers in CEITEC: 950/850/700/700/600/500 MHz
26
Spin-Spin Coupling






Effective field acting on nuclei is influenced by magnetic field due to
spin of neighbouring nuclei. This effect is called spin-spin coupling.
Spin-spin coupling give rise to the peak splitting in NMR spectra
This effect is observable only between protons on covalently
bonded atoms and only if the distance between nuclei is less than
or equal to three bond lengths. This is because in spin-spin coupling
the magnetic field of neighbouring nuclei does not act directly but
through electron cloud surrounding the nuclei.
Spin-spin coupling is never caused by neighbouring atoms that are
bonded to the same atom and have identical electronic
environment (e.g. H in CH2 group does not split peak of the second
H)
Number of new peaks and their
distance bring information about
atoms connectivity because they
occur only between protons on
covalently bonded atoms.
Information about torsional angles
can also be obtained from spin-spin
coupling measurements.
27
Spin-Spin Coupling
28
Nuclear Overhauser Effect
Nuclear Overhauser Effect (NOE) is another interaction between
spins of neighbouring nuclei that can occur between noncovalently bonded nuclei which are close in space
 NOE differs from spin-spin coupling in the respect that NOE is
observed through space, not through bonds
 This interaction is distance dependent, usually only protons
separated by less than 5 or 6 Å can be observed
 Because the nuclei distance can be derived from the observed
NOEs, precise three-dimensional structure of the molecule can
be reconstructed.
 NOE measurements play important role in determination of 3D
structure of biological macromolecules because many of atoms
in these big structures are covalently distant while they can be
close in a 3D space

29
2D NMR


Classical NMR spectra is useless for analyzing the 3D structure of
macromolecules due to the spectral overlap of hundreds of protons.
To solve this problem, special technique called 2D NMR was
developed which produces 2D spectra with better separation of
individual peaks
Measurement of 2D NMR spectra is based on application of two
radiofrequency pulses separated in time. The time is changing
during series of measurement. For each time different classical
spectrum is measured.

30
2D NMR


3D NMR is improvement which is based on the same principles as
2D spectra, but two time differences between RF pulses are varying.
Various methods of 2D/3D NMR use specific series of RF pulses to
obtain spectra with desired information. Correlated spectroscopy
(COSY) gives rise to cross peaks corresponding to the covalent
structure (spin-spin couplings) while in NOESY cross peaks are
obtained from the NOE effect.
31
Interpretation of Protein NMR Spectra




Peaks in the spectra must be assigned to hydrogen atoms in specific
residues in protein
Spin-spin coupling measurements (e.g. COSY 2D NMR) enable to
identify to which amino acid type individual H atom belong, its
position within side-chain and give information about dihedral
angles of side chain atoms. But it does not provide information
about sequence order of amino acids.
The sequence information can be obtained from NOE measurements
(e.g. NOESY 2D NMR)
Information obtained from NMR is not sufficient for direct
assessment of 3D structure. First, 3D models consistent with the set
of constraints (dihedral angles, distances) are generated. These
models (usually several tens) can be refined by calculating NOEs
from the model and fitting against the measured NOE intensities, as
well as by optimizing for more favorable structural properties.
32
NMR Spectra and Dynamics of Molecules





NMR spectrum of biological macromolecules is measured in liquid
phase (solution of protein)
Molecule in solution has very dynamic behaviour thus the structure
of molecule is not rigid (compare with rigid structure in X-ray
crystallography)
Measured data correspond to weighted average of all structures in
solution.
This complicates assessment of 3D structure form 3D data but
brings information about dynamic behaviour of the molecule
Reconstruction of 3D structure from NMR data usually provides few
tens of structures with different conformations (called ensemble)
33
The Advantages and Limitations of NMR
Advantages:
 The main advantage of NMR spectroscopy over X-ray
crystallography is that there is no need to have the sample in a
crystalline state (which restricts the applicability of X-ray
crystallography).
 Further information about the dynamics of the molecule in
solution can be deduced. Motions that occur on a time-scale
ranging from about 10 picoseconds to about 10 nanoseconds
can be detected.
Limitations:
 The precision of the technique is still not as high as in X-ray
crystallography.
 Only relatively small bio-molecules can be solved, for proteins
usually smaller than 300 residues
 Rapid developments in equipment and software has led
however, to continual improvement in these areas
34
The Advantages and Limitations of NMR
Advantages:
 The main advantage of NMR spectroscopy over X-ray
crystallography is that there is no need to have the sample in a
crystalline state (which restricts the applicability of X-ray
crystallography).
 Further information about the dynamics of the molecule in
solution can be deduced. Motions that occur on a time-scale
ranging from about 10 picoseconds to about 10 nanoseconds
can be detected.
Limitations:
 The precision of the technique is still not as high as in X-ray
crystallography.
 Only relatively small bio-molecules can be solved, for proteins
usually smaller than 300 residues
 Rapid developments in equipment and software has led
however, to continual improvement in these areas
35
Electron Microscopy
Electron microscopy (EM) is another approach that provides
information about the 3D structure of macromolecules. It has
recently become popular in structural biology as it can provide
molecular structural data about large molecular complexes.
36
Principles of Electron Microscope




Electron microscope is based on similar principles as light
microscopes but electron beam is used instead of light beam
It has much higher magnification or resolving power than a regular
light microscope, allowing it to see very small objects such as cells
and large molecules
Source of illumination is a cathode that emits electrons at the top of
the column
Since electrons are scattered by collisions with air molecules,
column must be under a vacuum
37
Cryo-electron Microscopy
Important breakthrough in solving bio-molecule structures by
EM, is cryo-electron microscopy ("cryo-em")
 The images are created with an electron microscope equipped
with a "cold stage". This means that the samples are scanned in
a frozen state, usually liquid nitrogen temperatures (77 K = -196
˚C).
 This procedure protects samples from radiation damage and
keeps them in a native state
 A version of cryo-electron microscopy is cryo-electron
tomography (CET) where a 3D reconstruction of a sample is
created from tilted 2D images (also measured at cryogenic
temperatures, either liquid nitrogen or helium).

38
The Advantages of Electron Microscopy
EM is able to resolve very large biological complexes not
accessible or X-ray crystallography
 Structures determined by EM can serve as an initial reference
for interpretation of X-ray diffraction patterns
 Structures from EM can be combined with X-ray data to obtain
structural information about large molecules

39
The Limitations of Electron Microscopy
The limitation of EM is the structural resolution that can be
achieved. The current resolution (about 3.5 Å) is not sufficient to
determine the location of the amino-acid side chains.
40
Neutron Diffraction
Neutron diffraction is based on scattering of neutrons on atoms
nuclei. Nuclear reactors are used as a source of neutrons.
 The technique is similar to X-ray diffraction but due to the
different scattering properties of neutrons versus x-rays
complementary information can be obtained
 Because hydrogen nuclei are strong scatterers for neutrons, the
position of hydrogen (or deuterium) atoms in a crystal structure
can be determined far more precisely with neutron diffraction
than with X-ray diffraction
 Deuterium atoms is easier to detect then 1H atoms
 The studies with deuterium can be used to identify the presence
of H/D exchange sites (which usually corresponds to acidic
hydrogens)
 Typical resolution of neutron diffraction is between 1.5 and 4.0 A
(i.e. individual atoms are visible including hydrogens)
 Disadvantage of the method is necessity to have access to
neutron source (nuclear reactor)

41