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Файл:Ординатура / Хирургия / Библиотека им академика М.И. Перельмана / Книга_5606_Библиотеки_им_академика_М_И_Перельмана.pdf
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- •Foreword
- •Acknowledgments
- •Contents
- •1.1 Structure-Based Drug Discovery (SBDD)
- •1.2 Ligand-Based Drug Design (LBDD)
- •1.3 Echoes from the Past, Visions from the Future
- •References
- •1 Introduction
- •2.2 Second Step: Data Curation
- •2.4 Fourth Step: Updating and Maintenance
- •2 Databases and Curation
- •8 Perspectives
- •9 Conclusion
- •References
- •1 Introduction
- •2.1 Making and Matching Protein Models
- •2.2 Simulating Protein Movements
- •2.3 Analyzing Changes in Protein Shape
- •3 Pharmacogenomics in Drug Development
- •4 Case Studies of Genomics-Based Drug Design
- •References
- •1 Historical Background
- •1.1 Timeline
- •2 Methodology Overview
- •2.1 Neural Networks
- •2.1.1 Perceptron
- •2.1.2 Multilayer Neural Networks
- •2.1.3 Types of Neural Networks
- •Feedforward
- •Recurrent Neural Networks
- •LSTM
- •2.2 Deep Learning
- •3 Using Machine Learning
- •3.2 Data Collection
- •3.3 Data Preprocessing
- •3.4 Model Selection
- •3.5 Model Training
- •3.6 Validation
- •3.7 Tuning
- •3.8 Prediction
- •4 Limitations
- •4.1 Bias
- •4.3 Interpretability
- •4.4 Computational Cost
- •4.5 Data Dependency
- •4.6 Robustness
- •5 Applications in Drug Discovery
- •5.2 Lead Discovery
- •5.3 Preclinical and Clinical Development
- •6 Resources and Tools
- •7 Challenges and Perspectives
- •7.1 Future Trends
- •9 Conclusions
- •References
- •1 Historical Background
- •1.1 Applications in Drug Discovery
- •2 Validations and Controls
- •2.1 Internal Validation
- •2.2 External Validation
- •2.3 Relative Cluster Validation
- •3 Challenges and Perspectives
- •4 Conclusions
- •References
- •1 Historical Background
- •2 OECD Principles
- •2.1 A Defined Endpoint
- •2.2 An Unambiguous Algorithm
- •2.5 A Mechanistic Interpretation, if Possible
- •3 Software and Tools
- •4 Validations and Controls
- •4.1 Internal and External Validation
- •4.1.1 Regression Metrics
- •4.2 Applicability Domain
- •4.3 Randomization Tests
- •5 Interpretation
- •6 Practical Advice During QSAR Modeling
- •7 Application
- •8 Challenges and Perspectives
- •References
- •1 Molecular Docking
- •2 Advances in Scoring Functions and Search Algorithms
- •2.2 Critical Characteristics of Search Algorithms
- •2.3 Docking Programs and Scoring Functions
- •3 Calculations Performed During Docking Simulations
- •4 Essential Components for a Good Docking Program
- •5 Limitations of the Docking Technique
- •6 Validation of Docking Results
- •7 Inappropriate Use of Validation Methods in Docking
- •9 Use of Machine Learning in Molecular Docking
- •11 Challenges
- •12 Conclusions
- •References
- •3 System Preparation for MD Simulations
- •3.1 Solvation and Microensemble
- •3.2 Force Fields: General Concept and Relevant Choices
- •3.3 The Concept of Replicas and Timescale
- •4.1.2 Protein Root Mean Square Fluctuation (RMSF)
- •4.1.4 Protein Secondary Structure Analysis
- •4.1.5 Principal component Analysis (PCA)
- •4.1.6 Markov State Modelling
- •4.1.7 Distance Calculations
- •4.1.8 Angle and Plane Calculations
- •4.2.2 Distances and Ligand-Induced Geometry Rearrangements
- •4 Molecular Dynamics Analysis
- •4.1 Protein Perspective
- •4.1.1 Protein Root Mean Square Deviation (RMSD)
- •4.3 Ligand Perspective
- •4.3.1 Ligand Properties
- •4.3.2 Ligand Root Mean Square Deviation
- •4.3.3 Ligand Root Mean Square Fluctuation
- •4.3.4 Angles and Dihedrals
- •5.1 Protein Structure Prediction and Preparation
- •5.2 Molecular Docking
- •6 Concluding Remarks and Outlook
- •Glossary
- •References
- •1 Introduction
- •2.1 MDeNM
- •2.2 Collective Molecular Dynamics (coMD)
- •2.3 ClustENM and ClustENMD
- •3 Ensemble Docking
- •References
- •1 Introduction
- •1.1 Advantages, Disadvantages, Innovations, and Challenges
- •1.2 Recent Advances in Accessible FEP Software Tools
- •1.3 Applications of FEP in Industry and Consortiums
- •2 Expanding the Potential of FEP Calculations
- •2.1 Validating Binding Poses
- •2.2 Dealing with Solvent
- •2.3 FEP and Allostery
- •2.4 FEP and Covalent Ligands
- •2.5 Applications of FEP in Scaffold Hopping
- •2.6 Positional Analogue Scanning
- •2.7 Combinations and Alternative Approaches
- •3 Machine Learning for FEP
- •3.4 Implications for ML in FEP Calculations
- •4 Final Considerations
- •5 First Steps to FEP Simulations
- •References
- •1 Background
- •2 Ultra-Large Screening Libraries and Chemical Spaces
- •3.1 Implications of Dataset Size
- •4 Ligands on the Ultra-Large Scale
- •4.1 Ultra-Large 2D Similarity Searches
- •7 Challenges and Future Perspectives
- •7.1 Hit Triage: An Old Problem on a New Dimension
- •8 Conclusions
- •Appendix
- •References
- •1 Introduction
- •2 Enzymatic Activity Evaluations
- •3 Cytotoxicity Evaluation and Cell Viability
- •4 Antiviral Assays in Experimental Validation
- •6 In Vivo Evaluation of Compounds
- •7 Conclusions
- •References
- •1 Introduction
- •3.1 Data Collection
- •3.2 Data Preprocessing
- •3.4 Model Choice
- •3.5 Model Training
- •3.6 Model Assessment
- •3.7 External Validation
- •3.8 Implementation and Availability
- •3.9 Continuous Update
- •5 Conclusions and Perspectives
- •References
- •1 Experimental Approaches to Obtain Protein Structure
- •1.1 X-Ray Crystallography
- •1.2 Nuclear Magnetic Resonance
- •1.3 Cryo-EM
- •1.4 Hybrid Methods
- •2 Modeling Approaches to Obtain Protein Structure
- •2.1 Homology Modeling
- •2.2 Ab Initio Modeling
- •2.3 New Approaches
- •3 Conformational Diversity of Proteins
- •3.1 Characterization of Protein Conformational States
- •3.2 Experimental Methods to Study Protein Dynamics and Conformations
- •3.4 Molecular Dynamics Simulation
- •3.5 Sampling Strategies
- •4 Remarks and Perspectives
- •References
- •1 Introduction
- •2 Structure-Based Drug Design of HIV Protease Inhibitors
- •2.1 HIV-1 Protease as a Therapeutic Target
- •2.2.1 Saquinavir
- •2.2.2 Indinavir
- •2.3.1 Lopinavir
- •2.3.2 Darunavir
- •6 Conclusions
- •References
- •4 Experimental Methods to Analyze NR Activity
- •4.2 Coregulator-Recruitment
- •5 Concluding Remarks and Outlook
- •References

8 Drug Design in Motion: Concepts and Applications of Classical... 213
4 Molecular Dynamics Analysis
The vast spectrum of MD analysis methods can be divided into three perspectives,
which encompass the joint analysis of protein and ligand, then the ligand and the
protein analysed separately (Fig. 8.4). Further, each subcategory is described with
examples of frequently applied techniques.
4.1 Protein Perspective
4.1.1 Protein Root Mean Square Devi ation (RMSD)
RMSD is a measurement of the deviation of group coordinates from a reference
position. The RMSD variation between given groups of atoms, such as Cα atoms or
protein backbone, is commonly used in analyses of MD [84]. RMSD provides
insights into the deviations in the protein conformation along the MD trajectory,
which correlates with the indication of protein stability. Namely, the values are
calculated for atomic coordinates at each frame of the MD trajectory, which allows
seeing the value variation along the timescale (Fig. 8.5a, blue). One crucial factor in
RMSD is the choice of the reference point to which the subsequent RMSD values are
compared. This is because the quality and reliability of the reference point determine
how accurate the RMSD calculations will be. For instance, the simulation’s starting
frame is commonly designated as the reference point in MD. Further, if the starting
frame contains poor contacts, such as clashes or ambiguities in the ligand pose, one
will obtain high RMSD values. High values in this regard point back to the poor
Fig. 8.4 Three approaches of Molecular Dynamics trajectory analysis and their sample methodologies. These different techniques are discussed in detail in the next sessions

214 E. Shevchenko et al.
Fig. 8.5 Illustrative showcase examples of RMSD (a), RMSF (b), and secondary structure analysis
(c) on a molecular dynamic trajectory.R1–5 indicates simulation replicas 1–5 accordingly. In (c)
the replicas are shown with the shades of overlayed grey. In (b) green vertical lines indicate protein
residues that are in contact with the ligand
choice of the reference point rather than necessarily indicating ligand instability or
poor model quality. Moreover, RMSD indicates the approximate timeline of system
equilibration, which can be observed from higher-than-average RMSD values at the
beginning of MD. RMSD can be calculated in the majority of drug discovery
software, such as GROMACS [46], Maestro Simulation interaction analysis tool,
or for complex selections can be scripted with MDAnalysis.analysis.rms [85] module for Python.
4.1.2 Protein Root Mean Square Fluctuation (RMSF)
RMSF is a measurement of deviation from a reference position of a selected group of
atoms that occurs along the MD trajectory and is averaged over the total amount of
atoms (Fig. 8.5b)[86]. Thus, the RMSF values indicate which structural elements of
a protein fluctuate most compared to their reference positions. An illustrative
example of such a structural element is the activation loop in protein kinases. Its
flexible behaviour is often evident in MD trajectories and can be identified through
RMSF calculations (Fig. 8.5b, activation loop region highlighted with yellow).
Conceptually, fluctuations of RMSF values in a particular part of the protein align
with B-factor values from the experimental X-ray structures, allowing direct comparison between the computational and empirical data. Generally, RMSF and RMSD
calculations are bound together as an essential basis for trajectory analysis; therefore,
they can be calculated within the same software.
Despite using high-quality and resolution crystals, one has to bear in mind that
diffraction data is not homogeneous across the system and, specifically in the ligand
binding pocket, it is important to verify whether certain atoms/bonds are correctly
assigned and supported by proper electron densities. When working with

8 Drug Design in Motion: Concepts and Applications of Classical... 215
low-available data’s projects, where structural information is sparse, this may serve
as a warning that lowly supported and defined regions will lead to artificially highly
flexible in the simulations.
4.1.3 Radius of Gyration (R
)
g
Since its original postulation on crystal structures, the radius of gyration determines
the protein structure compactness. The lowest radius of gyration and, accordingly,
the tightest packing would correlate with a higher number of intra-molecular protein
contacts and could be used as a folding measurement [87]. The R
can be used as a
g
numerical statistical indicator of large conformational change along the protein
trajectory (specially in fibre-like and semi-flexible polymer proteins), but also to
monitor the protein stability as a quality control, for globular proteins.
4.1.4 Protein Secondary Structure Analysis
The initial classification of the secondary structure was based on distinct hydrogen
bonding modes. It encompassed three elements: helix, strand, and coil [88], further,
this classification was extended to eight states: α-helix, 3
helices, π-helix, β-strand,
10
β-bridge, β-turn, bend, and loop or others [89]. As the physical process of protein
folding is tightened up with the various biological events and processes [90],
deriving seconda ry structure information from MD trajectories can provide insights
into the structural behaviour of the protein (Fig. 8.5c). Although to date, the
possibility of computational prediction is limited to helix, strand, or loop (coil),
the results can highlight valuable changes in the investigated structure correlated
with the impact of the ligand, mutation or normal protein function. For instance, a
notable shift in the secondary structure composition of a specific helix could be
observed when the protein interacts with an agonist (Fig. 8.5c, left chart; the helix
maintains a helical structure for around 50% of the simulation time across 5 replicas)
compared to antagonist (Fig. 8.5c, right chart; the helix keeps a helical structure for
about 95% of the simulation time across 5 replicas). This observation can provide a
hint for further in-depth system analysis. Computational results of the secondary
structure prediction can be further supported with circular dichroism (CD), which
provides an experimental evaluation of proteins’ secondary structure. Up to this
point, secondary structure calculations along MD trajectories are somewhat rare and
frequently require custom coding for a system.
4.1.5 Principal component Analysis (PCA)
PCA is a prominent approach for evaluating large datasets with several dimensions
or variables per observation. It enhances the data’s readabi lity, while maintaining the
most information, besides facilitating visualisation. In other words, PCA retains the

216 E. Shevchenko et al.
greatest amount of statistically significant data within a given dataset that results in
dimensionality while reducing the “noisy ” data that causes valuable statistical trends
to be overseen. This is conducted by the linear translation of the dataset to a new
coordinate system, which produces a two- or three-dimensional plot with data points
that allow deriving the clusters of nearby data points visually. The number of
principle components chosen for the visualisation is the main difference between
2D and 3D PCA. The construction of principle components in PCA aims to capture
the most variety in the dataset: PC1 depicts the greatest variance, PC2 describes the
next-greatest variety, and so forth. Most of the variation is usually captured by the
first two to three PCAs, and the remaining ones can be ignored without losing
valuable data. The linear translation (linear reduction) is a process of finding new
uncorrelated variables that represent linear functions of the initial set and sequentially optimising the variance [91]. In addition, PCAs are widely used in a variety of
disciplines where large datasets must be statistically analysed. Among these disciplines are genomics, astrophysics, machine learning, and data science.
Moreover, PCA is widely used to analyse MD trajectories, where it applies the
same principle: a linear transformation that diagonalises the covariance matrix and
eliminates the spontaneous linear correlations between the coordinates [92, 93]. PCA
results can be utilised for the free energy landscape construction, which describes the
metastable conformational states and the transition states [94]. These states contribute to understanding functionally relevant motions within the investigated system,
which can be hard to derive by visual examination due to numerous other motions
simultaneously occurring within the MD trajectory. In other words, PCA’s applica-
tion to MD trajectory is instrumental in identifying dominant protein motions, such
as hinge-like movements or domain rotations. By projecting MD frames onto
eigenvectors corresponding to principal components, one can visualise how protein
conformations evolve over time and uncover correlations among atoms. The PCA
analysis can be conducted, for instance, with GROMACS [46] covariance tool (gmx
covar and gmx anaeig scripts).
While PCA provides quantitative analysis, direct visual observation remains
valuable for comprehending protein dynamics. The input selection for PCA impacts
the scope and specificity of the results and can range from all atomic coordinates to
Cα atoms or particular residues. While using all atomic coordinates provides a
comprehensive view of global motions and conformational changes, this will incur
higher computational costs, due to the curse of dimensionality. While it captures
global motions, interpreting such high-dimensional data might require advanced
visualisation and analysis techniques. Therefore, to gain insights into the overall
protein dynamics, one may consider selecting alpha carbon atoms as an input for
PCA analysis. This strategy simplifies the analysis while capturing essential backbone motions, for instance, effectively highlighting hinge-like movements and other
significant conformational changes, while disregarding a fine representation of sidechain dynamics.
Meanwhile, focusing on specific residues for PCA narrows down the analysis to
regions of interest. This approach can well capture local dynamics, bearing in mind
that global motions can still be influenced, to some extent, by these regions, even if

8 Drug Design in Motion: Concepts and Applications of Classical... 217
they are not directly analysed. Thus, this choice offers insi ghts into the behaviour of
selected regions, the choice of which is usually connected with a portion of specific
protein machinery. Examples of such regions can be α-C helix in protein kinases,
switch-I and II in RAS proteins, or transmem brane helixes 5– 6 in class A GPCRs.
PCA can be used to investigate variations in the dynamic behaviour across
different systems. For instance, our work illustrates the use of PCA on different
simulated kinase states (multimerisation and phosphorylation) to unravel the impact
of different phosphorylation states on kinase behaviour [95]. As a result, in PCA
score plots each system showcased a distinct trajectory, highlighting the impact of
phosphorylation on the kinase conformational landscape. The phosphorylation states
exhibited a direct correlation with the profiles observed in the principal components .
Further, complementing the quantitative PCA results with a visual inspection of the
simulation trajectories revealed system-specific shifts in the activation segment,
distinctly deviating from the crystal conformation. Therefore, generating the basis
for future protein analysis.
4.1.6 Markov State Modelling
Markov State Modelling (MSM) plays a significant role in the modelling and
interpretation of MD simulation data, while it allows pinpointing of statistically
significant events in the MD trajectories [96]. MSM is a robust framework for
analysing long-scale MDs, where it becomes more challenging to visually observe
changes in protein dynam ics and substructural geometrical variations.
MSM stands for a master equation framework, indicating that the system’s
complete dynamics can be highlighted using just the MSM. The master equation
formalism has also been applied in a wide range of scientific disciplines [97]. By
definition, MSM is a nxnsquare matrix (often referred to as transition probability
matrix), in which the n states represent the total number of configurations that the
system may exist in [98]. The dynamical change of the system can be observed by
defining the states at time point s separated by the lag of time (τ). This separation of
the states ensures the lag of time to be a Markov process [98]. The term “Markov
process” refers to a random process in which, given the present, the future is
independent of the past [96]. In terms of MD, the Markov process means that the
probability of the system transition from one state to another does not depend on
where the system was before this initial state.
The obstacles in building an MSM may be divided into two main categories: the
definition of the states in a kinetically relevant order and the effective employment of
the state decomposition for building an efficient transition matrix [99]. Additionally,
a bias-variance problem related to the choice of the number of states is a dilemma
with MSMs. When utilising a limited number of states, one knows analytically that
the predicted value of the relaxation timescales is less than the real value and that this
bias gets less as the number of states increases. On the other hand, with a given

218 E. Shevchenko et al.
dataset, as the number of states rises, the statistical error in the MSM grows
[99]. Although algorithms have been developed to deal with this problem, to date,
there are no algorithms in the literature that automatically and effectively balance
these conflicting sources of errors [100].
As in application of PCA on MD trajectory, MSM requires careful consideration
of the input data. There are three common input choices for MSM calculation:
atomic coordinates, alpha carbon atoms, and functional groups. Using atomic
coordinates as input data offers a potentially detailed review of protein dynamics.
However, this level of granularity and complexion can lead to computational
challenges due to the sheer volume of data. Alternatively, selecting alpha carbon
atoms simplifies the input data while retaining backbone motions. This approach is
particularly useful for capturing large-scale conformational changes while reducing
computational complexity. Another strategy involves focusing on specific functional
groups or key residues. This allows one to focus the calculation on the role of these
groups in driving conformational transitions. Reg ardless of the input choice,
constructing an MSM involves estimating transition probabilities between different
conformational states. These probabilities help to understand the kinetics of state-tostate transitions and ha ve a glance into the protein’s conformational landscape.
MSMs have been applied effectively to various molecular dynamics studies and
beyond. For instance, the study by Meng et al. [101] generated Markov state models
for the inhibited Abl Tyrosine Kinase [101]. Through extensive simulations totalling
around 400 μs, achieved through multiple runs of 400–750 ns each, they revealed
novel conformations previously not disclosed by X-ray crystallography.
In a similar vein, the study by Maltarollo et al. [102] demonstrated the application
of MSM to explore dynamic interactions and collaborative events withi n protein
binding sites for the FabI protein [102]. By utilising replicas of apo structures with
varying timescales and starting conformations, they generated a total concatenated
trajectory of 60 μs. Analysing this trajectory using MSMs revealed notable aspects
such as the most probable states, relative free energies, and key structural features.
This analysis underscored the dynamic interplay and cooperation between binding
sites, elaborating their functional dynamics and sequence of geometrical
reorganisations. One has to bear in mind that even this long timescale might not
be sufficient to capture all the large conformational changes, and their work mostly
focused on describing C-terminal and interface conformational changes, where
larger full-domain rearrangements would require even longer timescales or enhanced
sampling. Interestingly, the process of MSM generation can highlight under sampled
zones of the phase space, suggesting where to focus further simulation, adapting the
sampling.
In a separate study, Roux’s group demonstrated the utility of MSMs in the study
of tyrosine kinases [103, 104]. They contrasted models from apostructure simulations with those from a diverse ensemble of initial structures, namely DFG-in,
DFG-out, and apostructure states. Notably, even apo-kinase simulations unveiled
novel structures in uncharacterised kinases and accurately restored known 3D
inhibited-like conformations. This approach, grounded in comprehensive sampling
and equilibrium probabilities, expands the utility of MSMs beyond traditional

8 Drug Design in Motion: Concepts and Applications of Classical... 219
methods. As an additional conclu sion, MSM can complement virtual screening
strategies. By identifying potentially druggable pockets through Markov states,
MSMs enable the detection of sites that might be overlooked by conventional
methods, elevating the potency and selectivity of screened target compo unds.
4.1.7 Distance Calculations
Distance analysis is a powerful tool that enables the exploration of changes in
relevant distances within a system across the course of MD simulation. This technique involves measuring the distances between specific pairs of atoms, residues, or
structural elements within a biomolecular system. For instance, these selections
could involve comparing the distances between two atoms (such as Cα atoms),
Fig. 8.6 Example of distance calculation applied on MD trajectory to track various events within
protein structure (a) and ways of its statistical representation (b). AV average, SD standard
deviation. Statistical boxplot representation of angle values, derived from MD trajectory. Boxes
display the quartiles of the dataset (25–75%) and whiskers the rest of the data within 1.5 times the
interquartile range (IQR). (Adapted from Shevchenko et al. [95])

220 E. Shevchenko et al.
two residues, or even larger structural features like helices, chains, or lobes within a
protein (F ig. 8.6a)[95, 102, 105]. Such analysis provides insights into the dynamic
behaviour of various components of the system.
Distance analysis can be employed to understand the dynamic behaviour of
multimeric assemblies and the interdependence of their constituent monomeric
units across different systems (Fig. 8.5a)[106]. Selecting several intervals for
calculating distance can provide comprehensive data to track the co-dependent
movements of monomeric substructures (Fig. 8.6a,d1–d4). Another useful applica-
tion of distance analysis is in understanding the impact of mutations. For instance, d5
on Fig. 8.6a describes the change of N-lobe composition upon mutation.
It is important to note that distance analysis generates lots of data, which can
rapidly accumulate with longer simulation times. To extract meaningful trends from
this data and avoid delving into the noise, statistical met hods are often employed to
explore and visualise the information (Fig. 8.6b). Common approaches include
calculating averages and standard deviations to provide a basic numerical assessment of dynamic processes (Fig. 8.6b, upper panel). However, for a more detailed
examination, other strategies like box plots can be utilised to demonstrate the
distribution of motions across various systems (Fig. 8.6b, box plots highlighted in
yellow, and blue showcase the difference between wild type and mutant protein).
When tracking distance changes over time, a straightforward plotting of MD
output can some times result in a multitude of peaks, potentially obscuring the
primary statistical trends. In such cases, employing a moving average
(MA) technique can prove beneficial. MA, frequently used in analysing time-series
data such as financial trends, calculates averages over different segments of the
complete dataset. This technique effectively captures short-term fluctuations while
focusing on the broader trends—aligning perfectly with the object ives of MD
trajectory analysis.
There are various types of moving averages, depending on various factors such as
data structure—for our purpose we employ simple moving average (SMA), which
uses a sliding window to take the average over a set number of time periods. Once
applied and plotted, one can observe the main trend in the distance change. As
demonstrated in Fig. 8.6b, the SMA applied along the timescale shows the gradual
opening of specific protein substructures (indicated by the yellow line), suggesting
studying the origin of this diverging movement.
In practical terms, with GROMACS [107] gmx distance script offers a broad
spectrum of options for conducting distance calculations. This script permits the
definition of reference positions based on the centre of mass or centre of geometry
for various selections, including atoms, residues, or custom-defined entities. This
variety allows extracting relevant results from dynamically changing reference
selection, which is highly important for the MD trajector y analysis.

8 Drug Design in Motion: Concepts and Applications of Classical... 221
Fig. 8.7 Example of angle calculation applied on MD trajectory to track movement within a
protein structure. (a) selection of residue intervals for angle construction. Selected residue intervals
represent protein substructures, which movements should be tracked (B
stable apex point (A
centre of geometry (cog). Cog is visualised on the plane projection with semi-transparent ovals of
the same colours as displayed residue intervals. (c) Statistical boxplot representation of angle
values, derived from MD trajectory. Boxes display the quartiles of the dataset (25–75%) and
whiskers the rest of the data within 1.5 times of the interquartile range (IQR). The reference
angle value is highlighted in yellow in (b) and (c) to underline the dynamic change one can observe,
when angle calculation is applied on MD trajectory. (Adapted from Shevchenko et al. [95])
). (b) Plane projection of selected residue intervals. Apex points defined by
1–A2
and C1–C2) with a
1–B2
4.1.8 Angle and Plane Calculations
Angle or plane calculations are beneficial to support visually perceived motions
within the MD trajectory with the numerical values. There are various examples of
possible practical applications of this method. For instance, angle calculations can be
utilised to define the protruding outward movement of αC-helix in kinases quantitatively, justify the opening or closure of Switch-II in RAS proteins or assist the hitto-lead identification by defining the degree of pocket opening in MD simulations
[108, 109].
The reference positions of the vertex and apex points can be defined using several
methods, as seen with the distance calculations—namely, the centre of mass or
geometry for an atom, residue, or substructure. For instance, Fig. 8.7a shows the
selection of residue intervals (A
1–A2,B1–B2,
and C1–C2) for further angle calculation. Next, these intervals are projected on a plane, where the apex points are
calculated as centres of geometry for each interval (Fig. 8.7b). The validation of
the residues chosen for the computation of the angle value is an optional step that
allows to verify if the calculated value is biased or whether a particular selection has
no impact on the average angle value along the trajectories. This is accomplished by
selecting the neighbouring to the reference selection residues and repeating the

222 E. Shevchenko et al.
calculation. The average values from the reference and validation calculations
should appear to be in the same range. Another way to produce reliable angle
calculation between moving helices or domains is to choose the stable residue
interval for the apex. On Fig. 8.7a the hinge region (A
)defines the apex of
1–A2
the angle, as one of the most rigid regions of a protein kinase [95]. Moreover, the
MD-derived RMSD values can be used to support the interval stability. Python is the
primary tool for carrying out these computations for an MD trajectory since they are
highly dependent on the investigated system. Additionally, the classes required to
access data in the MD trajectories are provided by the MDAnalysis package for
Python [110, 111]. Further, to represent the most valuable data and reduce the noise,
the derived angle values, similarly to distance analysis, are best represented with
statistical visualisation methods, such as box plots (Fig. 8.7c) or simple moving
average (Fig. 8.6b).
4.2 Protein–Ligand Perspective
4.2.1 Protein–Ligand’s Interaction Pattern Determination
The analysis of the interaction network that the ligand is forming with the protein is
the fundamental part of the simulation analysis as the non-covalent interactions,
namely hydrogen bonds and hydrophobic interactions, are the core of the ligandprotein binding [112]. Unlike docking, MD-derived interaction analysis gives not a
single-point calculation but the statistical range of the simulation time when the
ligand is in contact with a particular protein residue. Moreover, the interaction can be
plotted as a function of time. The derived know ledge can be further applied for SAR
analysis and hit-to-lead optimisation. Finally, distinct software may have different
definitions of distance and angle thresholds that characterise specific interactions,
particularly in the case of hydrophobicity.
4.2.2 Distances and Ligand-Induced Geometry Rearrangements
As in protein perspective, distance analysis comes in hand as a tool for understanding ligand-induced geometry rearrangements within proteins [113]. By quantifying
distances between key residues for protein functioning and ligands, it is possible to
unlock additional insights into the dynamic interactions that govern binding events
[102]. These distance fluctuations not only reveal the stability and flexibility of
protein–ligand complexes but also highlight allosteric effects and potential
druggable sites that can be further utilised in the drug design process [114]. For
instance, in the context of G protein-coupled receptors, distance analyses help to spot
communication between ligands and the receptor’s transmembrane helices, which
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