Statistical mechanics and molecular dynamics in evaluating thermodynamic properties of biomolecular recognitionJeff Wereszczynski, J. Andrew McCammonQuarterly Reviews of Biophysics, Vol. 45, Issue 1, pp. 1-25 (2012) [PubMed 22082669]Molecular recognition plays a central role in biochemical processes. Although well
studied, understanding the mechanisms of recognition is inherently
difficult due to the range of potential interactions, the molecular
rearrangement associated with binding, and the time and length scales
involved. Computational methods have the potential for not only
complementing experiments that have been performed, but also in guiding
future ones through their predictive abilities. In this review, we
discuss how molecular dynamics (MD) simulations may be used in advancing
our understanding of the thermodynamics that drive biomolecular
recognition. We begin with a brief review of the statistical mechanics
that form a basis for these methods. This is followed by a description
of some of the most commonly used methods: thermodynamic pathways
employing alchemical transformations and potential of mean force
calculations, along with end-point calculations for free energy
differences, and harmonic and quasi-harmonic analysis for entropic
calculations. Finally, a few of the fundamental findings that have
resulted from these methods are discussed, such as the role of
configurational entropy and solvent in intermolecular interactions,
along with selected results of the model system T4 lysozyme to
illustrate potential and current limitations of these methods.
Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann EquationM. Holst, J.A. McCammon, Z. Yu, Y.C. Zhou, Y. ZhuCommunications in Computational Physics, Vol. 11, pp. 179-214 (2012) [PubMed 21949541]We consider the design of an effective and reliable adaptive finite
element method (AFEM) for the nonlinear Poisson-Boltzmann equation
(PBE). We first examine the two-term regularization technique for the
continuous problem recently proposed by Chen, Holst, and Xu based on the
removal of the singular electrostatic potential inside biomolecules;
this technique made possible the development of the first complete
solution and approximation theory for the Poisson-Boltzmann equation,
the first provably convergent discretization, and also allowed for the
development of a provably convergent AFEM. However, in practical
implementation, this two-term regularization exhibits numerical
instability. Therefore, we examine a variation of this regularization
technique which can be shown to be less susceptible to such instability.
We establish a priori estimates and other basic results for the
continuous regularized problem, as well as for Galerkin finite element
approximations. We show that the new approach produces regularized
continuous and discrete problems with the same mathematical advantages
of the original regularization. We then design an AFEM scheme for the
new regularized problem, and show that the resulting AFEM scheme is
accurate and reliable, by proving a contraction result for the error.
This result, which is one of the first results of this type for
nonlinear elliptic problems, is based on using continuous and discrete a
priori L1 estimates to establish quasi-orthogonality. To provide a
high-quality geometric model as input to the AFEM algorithm, we also
describe a class of feature-preserving adaptive mesh generation
algorithms designed specifically for constructing meshes of biomolecular
structures, based on the intrinsic local structure tensor of the
molecular surface. All of the algorithms described in the article are
implemented in the Finite Element Toolkit (FETK), developed and
maintained at UCSD. The stability advantages of the new regularization
scheme are demonstrated with FETK through comparisons with the original
regularization approach for a model problem. The convergence and
accuracy of the overall AFEM algorithm is also illustrated by numerical
approximation of electrostatic solvation energy for an insulin protein.
Independent-Trajectory Thermodynamic Integration: A Practical Guide to Protein-Drug Binding Free Energy Calculations Using Distributed ComputingMorgan Lawrenz, Riccardo Baron, Yi Wang, J. Andrew McCammonIn "Computational Drug Discovery and Design", R. Baron (Ed.), Springer Series in Methods in Molecular Biology. Humana Press, USA, pp. 469-486 (2012) [PubMed 22183552]The Independent-Trajectory Thermodynamic Integration (IT-TI) approach
for free energy calculation with distributed computing is described.
IT-TI utilizes diverse conformational sampling obtained from multiple,
independent simulations to obtain more reliable free energy estimates
compared to single TI predictions. The latter may significantly under-
or over-estimate the binding free energy due to finite sampling. We
exemplify the advantages of the IT-TI approach using two distinct cases
of protein-ligand binding. In both cases, IT-TI yields distributions of
absolute binding free energy estimates that are remarkably centered on
the target experimental values. Alternative protocols for the practical
and general application of IT-TI calculations are investigated. We
highlight a protocol that maximizes predictive power and computational
efficiency.
Guide to Virtual Screening: Application to the Akt Phosphatase PHLPPWilliam Sinko and Emma Sierecki and César A. F. de Oliveira and J. Andrew McCammonIn "Computational Drug Discovery and Design", R. Baron (Ed.), Springer Series in Methods in Molecular Biology. Humana Press, USA, pp. 561-573 (2012) [PubMed 22183558]We present an example-based description of virtual screening (VS)
techniques used to identify new regulators of the Akt phosphatase PHLPP
(PH domain Leucine repeat Protein Phosphatase). This enzyme opposes the
effects of two kinases, Akt and PKC, which play a major role in cell
growth and survival. Therefore, PHLPP is a potential therapeutic target
in pathophysiologies where these pathways are either repressed, such as
in diabetes and cardiovascular diseases, or over-activated as in cancer.
To the best of our knowledge, no PHLPP inhibitors have been reported so
far in the literature. In this study, we used a combination of chemical
and virtual screening techniques that led to the identification of a
number of inhibiting compounds with diverse scaffolds. These compounds
bind PHLPP and inhibit cell death when tested in cellular assays. We
employed GLIDE docking software to screen a library of more than 40,000
compounds selected from the NCI open depository (250,000 compounds) by
similarity searches. We compare the efficiency at which we determined
binding compounds from the chemical screen, and compare enrichment
factors of the virtually discovered compounds over chemical screening.
A Molecular Dynamics Ensemble-Based Approach for the Mapping of Druggable Binding SitesAnthony Ivetac, J. Andrew McCammonIn "Computational Drug Discovery and Design", R. Baron (Ed.), Springer Series in Methods in Molecular Biology, Humana Press, USA, pp. 3-12 (2012) [PubMed 22183526]An expanding repertoire of "allosteric" drugs is revealing that
structure-based drug design (SBDD) is not restricted to the "active
site" of the target protein. Such compounds have been shown to bind
distant regions of the protein topography, potentially providing higher
levels of target specificity, reduced toxicity and access to new regions
of chemical space. Unfortunately, the location of such allosteric
pockets is not obvious in the absence of a bound crystal structure and
the ability to predict their presence would be useful in the discovery
of novel therapies. Here, we describe a method for the prediction of
"druggable" binding sites that takes protein flexibility into account
through the use of molecular dynamics (MD) simulation. By using a
dynamic representation of the target, we are able to sample multiple
protein conformations that may expose new drug-binding surfaces. We
perform a fragment-based mapping analysis of individual structures in
the MD ensemble using the FTMAP algorithm and then rank the most
prolific probe-binding protein residues to determine potential
"hot-spots" for further examination. This approach has recently been
applied to a pair of human G-protein-coupled receptors (GPCRs),
resulting in the detection of five potential allosteric sites.
Accelerated Molecular Dynamics in Computational Drug DesignJeff Wereszczynski, J. Andrew McCammonIn "Computational Drug Discovery and Design", R. Baron (Ed.), Springer Series in Methods in Molecular Biology, Humana Press, USA, pp. 515-524 (2012) [PubMed 22183555]The method of accelerated molecular dynamics (aMD) has been shown to
increase the rate of phase-space sampling in biomolecular simulations.
In this chapter, we discuss the theory behind aMD and describe the
implementation of two versions: dual-boost and selective aMD. Each
method has its practical advantages: dual-boost aMD is useful for
increasing sampling of global conformational motions while selective aMD
can improve the rate of convergence of free energy calculations. Special
emphasis is placed on the use of these methods in computer-aided drug
design, and the example of oseltamivir binding to neuraminidase is
highlighted for both cases.
On the Use of Molecular Dynamics Receptor Conformations for Virtual ScreeningSara E. Nichols, Riccardo Baron, J. Andrew McCammonIn "Computational Drug Discovery and Design", R. Baron (Ed.), Springer Series in Methods in Molecular Biology, Humana Press, USA, pp. 93-103 (2012) [PubMed 22183532]Receptors are inherently dynamic and this flexibility is important to
consider when constructing a model of molecular association.
Conformations from molecular dynamics simulations, a well-established
method for examining protein dynamics, can be used in virtual screening
to account for flexibility in structure-based drug discovery. Different
receptor configurations influence docking results. Molecular dynamics
simulations can provide snapshots that improve virtual screening
predictive power over known crystal structures, most likely as a result
of sampling more relevant receptor conformations. Here we highlight some
details and nuances of using such snapshots and evaluating them for
predictive performance.
Mathematical and Numerical Aspects of the Adaptive Fast Multipole Poisson-Boltzmann SolverB. Zhang, B.Z. Lu, X. Cheng, X. Sun, N. Pitsianis, J. Huang, J.A. McCammonCommunications in Computational Physics, Vol. 13, Issue 1, pp. 107-128 (2012)
This paper summarizes the mathematical and numerical theories and
computational elements of the adaptive fast multipole Poisson-Boltzmann
(AFMPB) solver. We introduce and discuss the following components in
order: the Poisson-Boltzmann model, boundary integral equation
reformulation, surface mesh generation, the node-patch discretization
approach, Krylov iterative methods, the new version of fast multipole
methods (FMMs), and a dynamic prioritization technique for scheduling
parallel operations. For each component, we also remark on feasible
approaches for further improvements in efficiency, accuracy and
applicability of the AFMPB solver to large-scale long-time molecular
dynamics simulations. The potential of the solver is demonstrated with
preliminary numerical results.
Protecting High Energy Barriers: A New Equation to Regulate Boost Energy in Accelerated Molecular Dynamics SimulationsWilliam Sinko, César Augusto F. de Oliveira, Levi C.T. Pierce, J. Andrew McCammonJournal of Chemical Theory and Computation, 8 (1), pp 17–23 (2012) [PubMed 22241967]Molecular dynamics (MD) is one of the most common tools in computational
chemistry. Recently, our group has employed accelerated molecular
dynamics (aMD) to improve the conformational sampling over conventional
molecular dynamics techniques. In the original aMD implementation,
sampling is greatly improved by raising energy wells below a predefined
energy level. Recently, our group presented an alternative aMD
implementation where simulations are accelerated by lowering energy
barriers of the potential energy surface. When coupled with
thermodynamic integration simulations, this implementation showed very
promising results. However, when applied to large systems, such as
proteins, the simulation tends to be biased to high energy regions of
the potential landscape. The reason for this behavior lies in the boost
equation used since the highest energy barriers are dramatically more
affected than the lower ones. To address this issue, in this work, we
present a new boost equation that prevents oversampling of unfavorable
high energy conformational states. The new boost potential provides not
only better recovery of statistics throughout the simulation but also
enhanced sampling of statistically relevant regions in explicit solvent
MD simulations.
Level-Set Variational Implicit-Solvent Modeling of Biomolecules with the Coulomb-Field ApproximationZhongming Wang, Jianwei Che, Li-Tien Cheng, Joachim Dzubiella, Bo Li, J. Andrew McCammonJournal of Chemical Theory and Computation, 8 (2), pp 386–397 (2012) [PubMed 22346739]Central in the variational implicit-solvent model (VISM) Dzubiella,
Swanson, and McCammon
Phys. Rev. Lett.2006,
96, 087802 and
J. Chem. Phys.2006,
124, 084905 of molecular solvation is a mean-field free-energy
functional of all possible solute–solvent interfaces or dielectric
boundaries. Such a functional can be minimized numerically by a
level-set method to determine stable equilibrium conformations and
solvation free energies. Applications to nonpolar systems have shown
that the level-set VISM is efficient and leads to qualitatively and
often quantitatively correct results. In particular, it is capable of
capturing capillary evaporation in hydrophobic confinement and
corresponding multiple equilibrium states as found in molecular dynamics
(MD) simulations. In this work, we introduce into the VISM the
Coulomb-field approximation of the electrostatic free energy. Such an
approximation is a volume integral over an arbitrary shaped solvent
region, requiring no solutions to any partial differential equations.
With this approximation, we obtain the effective boundary force and use
it as the “normal velocity” in the level-set relaxation. We
test the new approach by calculating solvation free energies and
potentials of mean force for small and large molecules, including the
two-domain protein BphC. Our results reveal the importance of coupling
polar and nonpolar interactions in the underlying molecular systems. In
particular, dehydration near the domain interface of BphC subunits is
found to be highly sensitive to local electrostatic potentials as seen
in previous MD simulations. This is a first step toward capturing the
complex protein dehydration process by an implicit-solvent approach.
AutoClickChem: Click Chemistry in SilicoJacob D. Durrant, J. Andrew McCammonPLoS Computational Biology, Vol. 8, Issue 3, e1002397 (2012) [PubMed 22438795]Academic researchers and many in industry often lack the financial
resources available to scientists working in “big pharma.”
High costs include those associated with high-throughput screening and
chemical synthesis. In order to address these challenges, many
researchers have in part turned to alternate methodologies. Virtual
screening, for example, often substitutes for high-throughput screening,
and click chemistry ensures that chemical synthesis is fast, cheap, and
comparatively easy. Though both in silico screening and click chemistry
seek to make drug discovery more feasible, it is not yet routine to
couple these two methodologies. We here present a novel computer
algorithm, called AutoClickChem, capable of performing many
click-chemistry reactions in silico. AutoClickChem can be used to
produce large combinatorial libraries of compound models for use in
virtual screens. As the compounds of these libraries are constructed
according to the reactions of click chemistry, they can be easily
synthesized for subsequent testing in biochemical assays. Additionally,
in silico modeling of click-chemistry products may prove useful in
rational drug design and drug optimization. AutoClickChem is based on
the pymolecule toolbox, a framework that may facilitate the development
of future python-based programs that require the manipulation of
molecular models. Both the pymolecule toolbox and AutoClickChem are
released under the GNU General Public License version 3 and are
available for download from
http://autoclickchem.ucsd.edu">http://autoclickchem.ucsd.edu.
Accelerated Molecular Dynamics: Theory, Implementation and ApplicationY. Wang, J.A. McCammonIn "Proceedings of the 2012 Conference on Theory and Applications of Computational Chemistry", E. Clementi, Ed., American Institute of Physics (2012)
Simulations of the p97 complex suggest novel conformational states of hydrolysis intermediatesJeff Wereszczynski, J. Andrew McCammonProtein Science, Vol. 21, Issue 4, pp. 475-486 (2012) [PubMed 22238181]The vitally important AAA protein p97 is involved in cellular functions
ranging from replication to degradation of misfolded proteins and has
recently been proposed as a novel chemotherapeutic target. p97 is a
large molecular machine that has been shown to hexamerize in vitro, with
each monomer consisting of an N-domain responsible for binding to
effector proteins and two AAA repeats (D1 and D2). However, structural
studies are inconclusive or in disagreement with one another on several
important features such as the locations of the N domains, the relative
orientations of the D1 and D2 rings, and the dimensions of the central
pore. Here, we present atomic-scale simulations of the p97 hexamer in
the pre-hydrolysis, transition, and post-hydrolysis states. To improve
the agreement between low- and high-resolution experimental studies, we
first use a biased simulation technique, molecular dynamics flexible
fitting (MDFF), to improve the correlation between the structures
described in these experiments. We follow this with extended, classical
molecular dynamics simulations, which not only show that structures
generated in the MDFF phase are stable, but reveal insights into the
dynamics important to each state. Simulation results suggest a hybrid
model for hydrolysis, in which the N and D2 domains are dynamic while
the D1 domains are relatively static, salt bridges stabilize the
position of the N-domains in the pre-hydrolysis state, and the rings
formed by D1 and D2 rotate relative to one another.
Multiscale Continuum Modeling and Simulation of Biological Processes: From Molecular Electro-diffusion to Sub-Cellular Signaling TransductionY. Cheng, P. Kekenes-Huskey, J. Hake, M.J. Holst, J.A. McCammon, A.P. MichailovaComputational Science & Discovery, Vol. 5, Issue 1, pp. 475-486 (2012) [PubMed 23505398]This paper presents a brief review of multi-scale modeling at the
molecular to cellular scale, with new results for heart muscle cells. A
finite element-based simulation package (SMOL) was used to investigate
the signaling transduction at molecular and sub-cellular scales (
http://mccammon.ucsd.edu/smol/ , http://FETK.org ) by numerical solution
of the time-dependent Smoluchowski equations and a reaction-diffusion
system. At the molecular scale, SMOL has yielded experimentally
validated estimates of the diffusion-limited association rates for the
binding of acetylcholine to mouse acetylcholinesterase using
crystallographic structural data. The predicted rate constants exhibit
increasingly delayed steady-state times, with increasing ionic strength,
and demonstrate the role of an enzyme's electrostatic potential in
influencing ligand binding. At the sub-cellular scale, an extension of
SMOL solves a nonlinear, reaction-diffusion system describing Ca 2+
ligand buffering and diffusion in experimentally derived rodent
ventricular myocyte geometries. Results reveal the important role of
mobile and stationary Ca 2+ buffers, including Ca 2+ indicator dye. We
found that alterations in Ca 2+ -binding and dissociation rates of
troponin C (TnC) and total TnC concentration modulate sub-cellular Ca 2+
signals. The model predicts that reduced off-rate in the whole troponin
complex (TnC, TnI, TnT) versus reconstructed thin filaments (Tn, Tm,
actin) alters cytosolic Ca 2+ dynamics under control conditions or in
disease-linked TnC mutations. The ultimate goal of these studies is to
develop scalable methods and theories for the integration of
molecular-scale information into simulations of cellular-scale systems.
Thermodynamic integration to predict host-guest binding affinitiesM. Lawrenz, J. Wereszczynski, J.M. Ortiz-Sánchez, S.E. Nichols, J.A. McCammonJournal of Computer-Aided Molecular Design, Vol. 26, Issue 5, pp. 569-576 (2012) [PubMed 22350568]An alchemical free energy method with explicit solvent molecular
dynamics simulations was applied as part of the blind prediction
contest SAMPL3 to calculate binding free energies for seven guests to
an acyclic cucurbit-nuril host. The predictions included determination
of protonation states for both host and guests, docking pose
generation, and binding free energy calculations using thermodynamic
integration. We found a root mean square error (RMSE) of Formula: see
text from the reference experimental results, with an R (2) correlation
of 0.51. The agreement with experiment for the largest contributor to
this error, guest 6, is improved by Formula: see text when a
periodicity-induced free energy correction is applied. The corrections
for the other ligands were significantly smaller, and altogether the
RMSE was reduced by Formula: see text. We link properties of the
host-guest systems during simulation to errors in the computed free
energies. Overall, we show that charged host-guest systems studied
here, initialized in unconfirmed docking poses, present a challenge to
accurate alchemical simulation methods.
Dynamics and calcium association to the N-terminal regulatory domain of human cardiac Troponin C: A multi-scale computational studyLindert, S., P. Kekenes-Huskey, G. Huber, L. Pierce, J.A. McCammonJ. Phys. Chem. B, Vol. 116, Issue 29, pp. 8449-8459 (2012) [PubMed 22329450]Troponin C (TnC) is an important regulatory molecule in cardiomyocytes.
Calcium binding to site II in TnC initiates a series of molecular events
that result in muscle contraction. The most direct change upon Ca(2+)
binding is an opening motion of the molecule that exposes a hydrophobic
patch on the surface allowing for Troponin I to bind. Molecular dynamics
simulations were used to elucidate the dynamics of this crucial protein
in three different states: apo, Ca(2+)-bound, and Ca(2+)-TnI-bound.
Dynamics between the states are compared, and the Ca(2+)-bound system is
investigated for opening motions. On the basis of the simulations, NMR
chemical shifts and order parameters are calculated and compared with
experimental observables. Agreement indicates that the simulations
sample the relevant dynamics of the system. Brownian dynamics
simulations are used to investigate the calcium association of TnC. We
find that calcium binding gives rise to correlative motions involving
the EF hand and collective motions conducive of formation of the
TnI-binding interface. We furthermore indicate the essential role of
electrostatic steering in facilitating diffusion-limited binding of
Ca(2+).
Comparative Molecular Dynamics Simulations of the Antimicrobial Peptide CM15 in Model Lipid BilayersWang, Y., D.E. Schlamadinger, J.E Kim, J.A. McCammonBiochim Biophys Acta, Vol. 1818, Issue 5, pp. 1402-1409 (2012) [PubMed 22387432]We report altogether 3-μs molecular dynamics (MD) simulations of the
antimicrobial peptide CM15 to systematically investigate its interaction
with two model lipid bilayers, pure POPC and mixed POPG:POPC (1:2).
Starting with either an α-helical or a random-coil conformation, CM15 is
found to insert into both bilayers. Peptide-lipid interaction is
stronger with the anionic POPG:POPC than the zwitterionic POPC, which is
largely attributed to the electrostatic attraction between CM15 and the
negatively charged POPG. Simulations initiated with CM15 as a random
coil allowed us to study peptide folding at the lipid-water interface.
Interestingly, CM15 folding appears to be faster in POPC than POPG:POPC,
which may be explained by a lower activation energy barrier of
structural rearrangement in the former system. Our data also suggest
that compared with the random-coil conformation, CM15 in a pre-folded
α-helix has significantly reduced interactions with the lipids,
indicating that peptide initial structures may bias the simulation
results considerably on the 100-ns timescale. The implications of this
result should be considered when preparing and interpreting future AMP
simulations
Modeling Cardiac Calcium Sparks in a Three-Dimensional Reconstruction of a Calcium Release UnitHake, J.E., A.G. Edwards, Z. Yu, P. Kekenes-Huskey, A.P. Michailova, J.A. McCammon, M.J. Holst, M. Hoshijima, A.D. McCullochJ. Physiol, Vol. 590, Issue 18, pp. 4403-4422 (2012) [PubMed 22495592]Triggered release of Ca2+ from an individual sarcoplasmic reticulum (SR)
Ca2+ release unit (CRU) is the fundamental event of cardiac
excitation-contraction coupling, and spontaneous release events (sparks)
are the major contributor to diastolic Ca2+ leak in cardiomyocytes.
Previous model studies have predicted that the duration and magnitude of
the spark is determined by the local CRU geometry, as well as the
localization and density of Ca2+ handling proteins. We have created a
detailed computational model of a CRU, and developed novel tools to
generate the computational geometry from electron tomographic images.
Ca2+ diffusion was modeled within the SR and the cytosol to examine the
effects of localization and density of the Na+ /Ca2+ exchanger,
Sarco/endoplasmic reticulum Ca2+ ATPase 2 (SERCA), and calsequestrin on
spark dynamics. We reconcile previous model predictions of approximately
90 % local Ca2+ depletion in junctional SR, with experimental reports of
about 40 %. This analysis supports the hypothesis that dye kinetics and
optical averaging effects can have a significant impact on measures of
spark dynamics. Our model also predicts that distributing calsequestrin
within non-junctional Z-disc SR compartments, in addition to the
junctional compartment, prolongs spark release time as reported by
Fluo5. By pumping Ca2+ back into the SR during a release, SERCA is able
to prolong a Ca2+ spark, and this may contribute to SERCA-dependent
changes in Ca2+ -wave speed. Finally, we show that including the Na+
/Ca2+ exchanger inside the dyadic cleft does not alter local Ca2+ during
a spark.
Nucleotide dependent mechanism of Get3 as elucidated from free energy calculationsWereszczynski, J., J.A. McCammonProc. Natl. Acad. Sci. USA Vol. 109. No. 20 7759-7764 (2012) [PubMed 22547793]The unique topology of tail-anchored (TA) proteins precludes them from
utilizing the well-studied cotranslational translocation mechanism of
most transmembrane proteins, forcing them into a distinct,
posttranslational pathway. In yeast, this process is the guided entry of
TA-proteins (GET) pathway, which utilizes a combination of cytosolic and
transmembrane proteins to identify a TA protein, transfer it, and insert
it into the endoplasmic reticulum membrane. At the center of this
mechanism is the Get3 homodimer, which transfers a TA protein between
the two GET phases by leveraging energy gained in ATP binding and
hydrolysis to undergo significant structural changes from “open” to
“closed” conformations. We present all-atom molecular dynamics
simulations of Get3 in multiple nucleotide states, and through rigorous
potential of mean force calculations, compute the free energy landscape
of the Get3 opening/closing pathway. Results agree well with experiments
on the nucleotide bias of Get3 open and closed structures in the
crystallographically observed no-nucleotide, two ATP, and two ADP
states, and also reveal their populations in the asymmetric one
ATP and one ADP cases. Structures also compare well with the recently
observed “semiopen” conformation and suggest that Get3 may sample this
state free in solution and not just when bound to Get1, as observed in
experiments. Finally, we present evidence for a unique, “wide-open”
conformation of Get3. These calculations describe the
nucleotide-dependent thermodynamics of Get3 in solution, and improve our
understanding of its mechanism in each phase of the GET cycle.
The Molecular Dynamics of Trypanosoma brucei UDP-Galactose-4’-Epimerase: A Drug Target for African Sleeping SicknessFriedman, A.J., J.D. Durrant, L.C.T. Pierce, J.A. McCammonChem. Biol. Drug Disc. 80 (2): 173-81 (2012) [PubMed 22487100]During the past century, several epidemics of human African
trypanosomiasis, a deadly disease caused by the protist Trypanosoma
brucei, have afflicted sub-Saharan Africa. Over 10 000 new victims are
reported each year, with hundreds of thousands more at risk. As current
drug treatments are either highly toxic or ineffective, novel
trypanocides are urgently needed. The T. brucei galactose synthesis
pathway is one potential therapeutic target. Although galactose is
essential for T. brucei survival, the parasite lacks the transporters
required to intake galactose from the environment. UDP-galactose
4'-epimerase (TbGalE) is responsible for the epimerization of
UDP-glucose to UDP-galactose and is therefore of great interest to
medicinal chemists. Using molecular dynamics simulations, we investigate
the atomistic motions of TbGalE in both the apo and holo states. The
sampled conformations and protein dynamics depend not only on the
presence of a UDP-sugar ligand, but also on the chirality of the
UDP-sugar C4 atom. This dependence provides important insights into
TbGalE function and may help guide future computer-aided drug discovery
efforts targeting this protein
Hybrid Finite Element and Brownian Dynamics Method for 1-D Linear and Radial Diffusion-controlled ReactionsBauler, P., G. Huber, J.A. McCammonJ. Chem. Phys., Vol. 136, Issue 16, 164107 (2012) [PubMed 22559470]Diffusion is often the rate determining step in many biological
processes. Currently, the two main computational methods for studying
diffusion are stochastic methods, such as Brownian dynamics, and
continuum methods, such as the finite element method. This paper
proposes a new hybrid diffusion method that couples the strengths of
each of these two methods. The method is derived for a general
multidimensional system, and is presented using a basic test case for 1D
linear and radially symmetric diffusion systems
Multi-timescale conformational dynamics of the SH3 domain of CD2-associated protein using NMR spectroscopy and accelerated molecular dynamicsSalmon, L., L. Pierce, J.-L. O. Roldan, L. Mollica, M.R. Jensen, N.A.J. van Nuland, J.A. McCammon, P.R.L. Markwick, M. BlackledgeAngew. Chem. Engl. Ed., Vol. 51, Issue 25, pp. 6103-6106 (2012) [PubMed 22565613]A complete understanding of the relationship between biological activity and
molecular conformation requires an understanding of the thermally accessible
potential energy landscape. An extensive set of experimental NMR residual dipolar
couplings (RDCs) has been used to determine the conformational behavior of CD2AP
SH3C on multiple timescales, using the Gaussian Axial Fluctuation model, and
comparison to restraint-free accelerated molecular dynamics simulation. These
robust analyses provide a comprehensive description of conformational fluctuations
on picosecond to millisecond timescales. While the β-sheets show negligible slow
motions, larger amplitude slow dynamics are found in the n-SRC and RT loops that
mediate physiological interactions.
Novel cruzain inhibitors for the treatment of Chagas’s diseaseRogers, K., H. Keranen, J.D. Durrant, J. Ratnam, A. Doak, M.R. Arkin, J.A. McCammonChem. Biol. Drug Design, Vol. 80, Issue 3, pp. 398-405 (2012) [PubMed 22613098]The protozoan parasite Trypanosoma cruzi, the etiological agent of
Chagas' disease, affects millions of individuals and continues to be an
important global health concern. The poor efficacy and unfavorable side
effects of current treatments necessitate novel therapeutics. Cruzain,
the major cysteine protease of T. cruzi, is one potential novel target.
Recent advances in a class of vinyl sulfone inhibitors are encouraging;
however, as most potential therapeutics fail in clinical trials and both
disease progression and resistance call for combination therapy with
several drugs, the identification of additional classes of inhibitory
molecules is essential. Using an exhaustive virtual-screening and
experimental validation approach, we identify several additional
small-molecule cruzain inhibitors. Further optimization of these
chemical scaffolds could lead to the development of novel drugs useful
in the treatment of Chagas' disease.
LigMerge: A Fast Algorithm to Generate Models of Novel Potential Ligands from Sets of Known BindersLindert, S., J.D. Durrant, J.A. McCammonChem. Biol. Drug Design, Vol. 80, Issue 3, pp. 358-365 (2012) [PubMed 22594624]One common practice in drug discovery is to optimize known or suspected
ligands in order to improve binding affinity. In performing these
optimizations, it is useful to look at as many known inhibitors as
possible for guidance. Medicinal chemists often seek to improve potency
by altering certain chemical moieties of known/endogenous ligands while
retaining those critical for binding. To our knowledge, no automated,
ligand-based algorithm exists for systematically "swapping"
the chemical moieties of known ligands in order to generate novel
ligands with potentially improved potency. To address this need, we have
created a novel algorithm called "LigMerge". LigMerge
identifies the maximum (largest) common substructure of two
three-dimensional ligand models, superimposes these two substructures,
and then systematically mixes and matches the distinct fragments
attached to the common substructure at each common atom, thereby
generating multiple compound models related to the known inhibitors that
can be evaluated using computer docking prior to synthesis and
experimental testing. To demonstrate the utility of LigMerge, we
identify compounds predicted to inhibit peroxisome
proliferator-activated receptor gamma, HIV reverse transcriptase, and
dihydrofolate reductase with affinities higher than those of known
ligands. We are hopeful that LigMerge will be a helpful tool for the
drug-design community.
Structure Based Discovery of Novel Druggable Pockets on Rho Family GTPasesOrtiz-Sanchez, J.M., S.E. Nichols, J.A. McCammon, B.J. GrantPLoS ONE in press (2012)
The dynamic structure of thrombin in solutionFuglestad, B., P.M. Gasper, M. Tonelli, J.A. McCammon, P.R.L.Markwick, E.A. KomivesBiophys. J., Vol. 103, Issue 1, pp. 79-88 (2012) [PubMed 22828334]The backbone dynamics of human
α-thrombin inhibited at the
active site serine were analyzed using R1, R2, and heteronuclear NOE
experiments, variable temperature TROSY 2D 1H-15N correlation spectra,
and Rex measurements. The N-terminus of the heavy chain, which is formed
upon zymogen activation and inserts into the protein core, is highly
ordered, as is much of the double beta-barrel core. Some of the surface
loops, by contrast, remain very dynamic with order parameters as low as
0.5 indicating significant motions on the ps-ns timescale. Regions of
the protein that were thought to be dynamic in the zymogen and to
become rigid upon activation, in particular the

-loop, the 180s
loop, and the Na+ binding site have order parameters below 0.8.
Significant Rex was observed in most of the

-loop, in
regions proximal to the light chain, and in the
β-sheet core.
Accelerated molecular dynamics simulations yielded a molecular ensemble
consistent with measured residual dipolar couplings that revealed
dynamic motions up to milliseconds. Several regions, including the light
chain and two proximal loops, did not appear highly dynamic on the ps-ns
timescale, but had significant motions on slower timescales.
iAPBS: A programming interface to Adaptive Poisson-Boltzmann Solver (APBS)Konecny, R., N.A. Baker, J.A. McCammonComp. Sci. Discov., Vol. 5, Issue 1 (2012) [PubMed 22905037]The Adaptive Poisson-Boltzmann Solver (APBS) is a state-of-the-art suite
for performing Poisson-Boltzmann electrostatic calculations on
biomolecules. The iAPBS package provides a modular programmatic
interface to the APBS library of electrostatic calculation routines. The
iAPBS interface library can be linked with a FORTRAN or C/C++ program
thus making all of the APBS functionality available from within the
application. Several application modules for popular molecular dynamics
simulation packages - Amber, NAMD and CHARMM are distributed with iAPBS
allowing users of these packages to perform implicit solvent
electrostatic calculations with APBS.
Exploring the Photophysical Properties of Molecular Systems using Excited State Accelerated Ab Initio Molecular DynamicsOrtiz-Sanchez, J.M., D. Bucher, L.C.T. Pierce, P.R.L. Markwick, J.A.McCammonJ. Chem. Theory Comput, Vol. 8, Issue 8, pp. 2752-2761 (2012) [PubMed 22904696]In the present work, we employ excited state accelerated ab initio
molecular dynamics (A-AIMD) to efficiently study the excited state
energy landscape and photophysical topology of a variety of molecular
systems. In particular, we focus on two important challenges for the
modeling of excited electronic states: (i) the identification and
characterization of conical intersections and crossing seams, in order
to predict different and often competing radiationless decay mechanisms,
and (ii) the description of the solvent effect on the absorption and
emission spectra of chemical species in solution. In particular, using
as examples the Schiff bases formaldimine and salicylidenaniline, we
show that A-AIMD can be readily employed to explore the conformational
space around crossing seams in molecular systems with very different
photochemistry. Using acetone in water as an example, we demonstrate
that the enhanced configurational space sampling may be used to
accurately and efficiently describe both the prominent features and
line-shapes of absorption and emission spectra.
Modeling effects of L-type Ca2+ current and Na+-Ca2+ exchanger on Ca2+ trigger flux in rabbit myocytes with realistic t-tubule geometryKekenes-Huskey, P.M., Y. Cheng, J.E. Hake, F.B. Sachse, J.H. Bridge, M.J. Holst, J.A. McCammon, A.D. McCulloch, A.P. MichailovaFront. Comput. Physiol. Med., Vol. 3, Issue 351 (2012) [PubMed 23060801]The transverse tubular system of rabbit ventricular myocytes consists of
cell membrane invaginations (t-tubules) that are essential for efficient
cardiac excitation-contraction coupling. In this study, we investigate
how t-tubule micro-anatomy, L-type Ca2+ channel (LCC) clustering, and
allosteric activation of Na+/Ca2+ exchanger by L-type Ca2+ current
affects intracellular Ca2+ dynamics. Our model includes a realistic 3D
geometry of a single t-tubule and its surrounding half-sarcomeres for
rabbit ventricular myocytes. The effects of spatially distributed
membrane ion-transporters (LCC, Na+/Ca2+ exchanger, sarcolemmal Ca2+
pump, and sarcolemmal Ca2+ leak), and stationary and mobile Ca2+ buffers
(troponin C, ATP, calmodulin, and Fluo-3) are also considered. We used a
coupled reaction-diffusion system to describe the spatio-temporal
concentration profiles of free and buffered intracellular Ca2+. We
obtained parameters from voltage-clamp protocols of L-type Ca2+ current
and line-scan recordings of Ca2+ concentration profiles in rabbit cells,
in which the sarcoplasmic reticulum is disabled. Our model results agree
with experimental measurements of global Ca2+ transient in myocytes
loaded with 50 μM Fluo-3. We found that local Ca2+ concentrations within
the cytosol and sub-sarcolemma, as well as the local trigger fluxes of
Ca2+ crossing the cell membrane, are sensitive to details of t-tubule
micro-structure and membrane Ca2+ flux distribution. The model
additionally predicts that local Ca2+ trigger fluxes are at least
threefold to eightfold higher than the whole-cell Ca2+ trigger flux. We
found also that the activation of allosteric Ca2+-binding sites on the
Na+/Ca2+ exchanger could provide a mechanism for regulating global and
local Ca2+ trigger fluxes
in vivo. Our studies indicate that
improved structural and functional models could improve our
understanding of the contributions of L-type and Na+/Ca2+ exchanger
fluxes to intracellular Ca2+ dynamics.
Spectroscopic and Computational Study of Melittin, Cecropin A, and the Hybrid Peptide CM15Schlamadinger, D., Y. Wang, J.A. McCammon, J. KimJ. Phys. Chem., Vol. 116, Issue 35, pp. 10600-10608 (2012) [PubMed 22845179]Antimicrobial peptides (AMPs), such as cecropin A from silk moth, are
key components of the innate immune system. They are effective defensive
weapons against invading pathogens, yet they do not target host
eukaryotic cells. In contrast, peptide toxins, such as honeybee
melittin, are nondiscriminating and target both eukaryotic and
prokaryotic cells. An AMP-toxin hybrid peptide that is composed of
cecropin A and melittin (CM15) improves upon the antimicrobial activity
of cecropin A without displaying the nonspecific, hemolytic properties
of melittin. Here we report fluorescence and UV resonance Raman spectra
of melittin, cecropin A, and CM15 with the goal of elucidating
peptide-membrane interactions that help guide specificity. We have
probed the potency for membrane disruption, local environment and
structure of the single tryptophan residue, backbone conformation near
the peptide hinge, and amide backbone structure of the peptides in lipid
environments that mimic eukaryotic and prokaryotic membranes. These
experimental results suggest that melittin inserts deeply into the
bilayer, whereas cecropin A remains localized to the lipid headgroup
region. A surprising finding is that CM15 is a potent membrane-disruptor
despite its largely unfolded conformation. A molecular dynamics analysis
complements these data and demonstrates the ability of CM15 to associate
favorably with membranes as an unfolded peptide. This combined
experimental–computational study suggests that new models for
peptide–membrane interactions should be considered.
Calcium binding and allosteric signaling mechanisms for sarcoplasmic reticulum Ca2+ ATPaseKekenes-Huskey, P.M., V.T. Metzger, B.J. Grant, McCammon, J.AProtein Science, Vol. 21, Issue 10, pp. 1429-1443 (2012) [PubMed 22821874]The sarcoplasmic reticulum Ca(2+) ATPase (SERCA) is a membrane-bound
pump that utilizes ATP to drive calcium ions from the myocyte cytosol
against the higher calcium concentration in the sarcoplasmic reticulum.
Conformational transitions associated with Ca(2+) -binding are important
to its catalytic function. We have identified collective motions that
partition SERCA crystallographic structures into multiple
catalytically-distinct states using principal component analysis. Using
Brownian dynamics simulations, we demonstrate the important contribution
of surface-exposed, polar residues in the diffusional encounter of
Ca(2+) . Molecular dynamics simulations indicate the role of Glu309
gating in binding Ca(2+) , as well as subsequent changes in the dynamics
of SERCA's cytosolic domains. Together these data provide structural and
dynamical insights into a multistep process involving Ca(2+) binding and
catalytic transitions.
Routine access to millisecond timescale events with accelerated molecular dynamicsPierce, L.C.T., R. Salomon-Ferrer, C.A.F. de Oliveira, J.A. McCammon, R.C. WalkerJ. Chem. Theory Comp., Vol. 8, Issue 9, pp. 2997−3002 (2012) [PubMed 22984356]In this work, we critically assess the ability of the all-atom enhanced
sampling method accelerated molecular dynamics (aMD) to investigate
conformational changes in proteins that typically occur on the
millisecond time scale. We combine aMD with the inherent power of
graphics processor units (GPUs) and apply the implementation to the
bovine pancreatic trypsin inhibitor (BPTI). A 500 ns aMD simulation is
compared to a previous millisecond unbiased brute force MD simulation
carried out on BPTI, showing that the same conformational space is
sampled by both approaches. To our knowledge, this represents the first
implementation of aMD on GPUs and also the longest aMD simulation of a
biomolecule run to date. Our implementation is available to the
community in the latest release of the Amber software suite (v12),
providing routine access to millisecond events sampled from dynamics
simulations using off the shelf hardware.
Long timescale molecular dynamics simulations elucidate the dynamics and kinetics of exposure of the hydrophobic patch in Troponin CLindert, S., P.M. Kekenes-Huskey, J.A. McCammonBiophys. J., Vol. 103, Issue 8, pp. 1784−1789 (2012) [PubMed 23083722]Troponin (Tn) is an important regulatory protein in the thin-filament
complex of cardiomyocytes. Calcium binding to the troponin C (TnC)
subunit causes a change in its dynamics that leads to the transient
opening of a hydrophobic patch on TnC's surface, to which a helix of
another subunit, troponin I (TnI), binds. This process initiates
contraction, making it an important target for studies investigating the
detailed molecular processes that underlie contraction. Here we use
microsecond-timescale Anton molecular dynamics simulations to
investigate the dynamics and kinetics of the opening transition of the
TnC hydrophobic patch. Free-energy differences for opening are
calculated for wild-type Ca(2+)-bound TnC (∼8 kcal/mol), V44Q
Ca(2+)-bound TnC (3.2 kcal/mol), E40A Ca(2+)-bound TnC
(∼12 kcal/mol), and wild-type apo TnC (∼20 kcal/mol). These
results suggest that the mutations have a profound impact on the
frequency with which the hydrophobic patch presents to TnI. In addition,
these simulations corroborate that cardiac wild-type TnC does not open
on timescales relevant to contraction without calcium being bound.
Comment on “Molecular driving forces of the pocket-ligand hydrophobic association” by G. Graziano, Chem. Phys. Lett. 533 (2012) 95Setny, P., R. Baron, J.A. McCammonChem. Phys. Lett., Vol. 555, Issue ?, pp. 306−309 (2012)
We comment on a study by G. Graziano recently published in Chem. Phys.
Lett. 533 (2012) 95, which presented an alternative interpretation of
our previous study on hydrophobic cavity-ligand association (J. Chem.
Theory Comput. 6 (2010) 2866). Here, we show why this interpretation is
not appropriate in the context of cavity-ligand binding. We also
demonstrate that a thorough understanding of an association process can
be achieved only after considering all entropic and enthalpic
contributions, including also those that cancel with each other.
Dynamics of Plasmodium falciparum Enoyl-ACP Reductase and Implications on Drug DiscoveryLindert, S., J.A. McCammonProtein Sci., Vol. 21, Issue 11, pp. 1734−1745 (2012) [PubMed 22969045]Enoyl-acyl carrier protein reductase (ENR) is a crucial enzyme in the type
II fatty acid synthesis pathway of many pathogens such as Plasmodium falciparum,
the etiological agent of the most severe form of malaria. Because of its
essential function of fatty acid double bond reduction and the absence of a
human homologue, PfENR is an interesting drug target. Although extensive
knowledge of the protein structure has been gathered over the last decade,
comparatively little remains known about the dynamics of this crucial enzyme.
Here, we perform extensive molecular dynamics simulations of tetrameric PfENR
in different states of cofactor and ligand binding, and with a variety of
different ligands bound. A pocket-volume analysis is also performed, and
virtual screening is used to identify potential druggable hotspots. The
implications of the results for future drug-discovery projects are discussed.
The Binding Mechanism, Multiple Binding Modes, and Allosteric Regulation of Staphylococcus aureus SrtA Probed by Molecular Dynamics SimulationsKappel, K., J. Wereszczynski, R.T. Clubb, J.A. McCammonProtein Sci., Vol. 21, Issue 12, pp. 1858−1871 (2012) [PubMed 23023444]Sortase enzymes are vitally important for the virulence of gram-positive
bacteria as they play a key role in the attachment of surface proteins to
the cell wall. These enzymes recognize a specific sorting sequence in proteins
destined to be displayed on the surface of the bacteria and catalyze the
transpeptidation reaction that links it to a cell wall precursor molecule.
Because of their role in establishing pathogenicity, and in light of the
recent rise of antibiotic-resistant bacterial strains, sortase enzymes are
novel drug targets. Here, we present a study of the prototypical sortase
protein Staphylococcus aureus Sortase A (SrtA). Both conventional and
accelerated molecular dynamics simulations of S. aureus SrtA in its apo
state and when bound to an LPATG sorting signal (SS) were performed. Results
support a binding mechanism that may be characterized as conformational
selection followed by induced fit. Additionally, the SS was found to adopt
multiple metastable states, thus resolving discrepancies between binding
conformations in previously reported experimental structures. Finally,
correlation analysis reveals that the SS actively affects allosteric
pathways throughout the protein that connect the first and the second
substrate binding sites, which are proposed to be located on opposing
faces of the protein. Overall, these calculations shed new light on
the role of dynamics in the binding mechanism and function of sortase enzymes.
Finite Element Estimation of Protein-Ligand Association Rates with Post-Encounter Effects: Applications to Calcium binding in Troponin C and SERCAKekenes-Huskey, P.M., A. Gillette, J. Hake, J. A. McCammonComp. Sci. Disc., 5 014015 [PubMed 23293662]We introduce a computational pipeline and suite of software tools for the
approximation of diffusion-limited binding based on a recently developed
theoretical framework. Our approach handles molecular geometries generated
from high-resolution structural data and can account for active sites
buried within the protein or behind gating mechanisms. Using tools from
the FEniCS library and the APBS solver, we implement a numerical code for
our method and study two Ca(2+)-binding proteins: Troponin C and the
Sarcoplasmic Reticulum Ca(2+) ATPase (SERCA). We find that a combination
of diffusional encounter and internal 'buried channel' descriptions provide
superior descriptions of association rates, improving estimates by orders of
magnitude.
Molecular Basis of Calcium-sensitizing Mutations of the Human Cardiac Troponin C Regulatory Domain: A multi-scale simulation studyKekenes-Huskey, P.M., S. Lindert, J.A. McCammonPLoS Comp. Biol., Vol. 8, Issue 11, e1002777 (2012) [PubMed 23209387]Troponin C (TnC) is implicated in the initiation of myocyte contraction via
binding of cytosolic Ca
2+ and subsequent recognition of the Troponin I switch peptide.
Mutations of the cardiac TnC N-terminal regulatory domain have been shown to alter
both calcium binding and myofilament force generation. We have performed molecular
dynamics simulations of engineered TnC variants that increase or decrease Ca
2+ sensitivity,
in order to understand the structural basis of their impact on TnC function. We will
use the distinction for mutants that are associated with increased affinity and for
those mutants with reduced Ca
2+ affinity. Our studies demonstrate that for GOF mutants
V44Q and L48Q, the structure of the physiologically-active site II Ca
2+ binding site in
the Ca
2+-free (apo) state closely resembled the Ca
2+-bound (holo) state. In contrast, site II
is very labile for LOF mutants E40A and V79Q in the apo form and bears little
resemblance with the holo conformation. We hypothesize that these phenomena
contribute to the increased association rate, k
on , for the GOF mutants relative to LOF.
Furthermore, we observe significant positive and negative positional correlations
between helices in the GOF holo mutants that are not found in the LOF mutants. We
anticipate these correlations may contribute either directly to Ca
2+ affinity or indirectly
through TnI association. Our observations based on the structure and dynamics of mutant
TnC provide rationale for binding trends observed in GOF and LOF mutants and will guide
the development of inotropic drugs that target TnC.
Allosteric Networks in Thrombin Distinguish Procoagulant vs. Anticoagulant ActivitiesGasper,P., B. Fuglestad, E. Komives, P. Markwick, J.A. McCammonProc. Natl. Acad. Sci. USA, Vol. 109, Issue 52, pp. 21216−21222 (2012) [PubMed 23197839]The serine protease alpha-thrombin is a dual-action protein that mediates the
blood-clotting cascade. Thrombin alone is a procoagulant, cleaving fibrinogen to
make the fibrin clot, but the thrombin-thrombomodulin (TM) complex initiates the
anticoagulant pathway by cleaving protein C. A TM fragment consisting of only the
fith and sixth EGF-like domains (TM56) is sufficient to bind thrombin, but the
presence of the fourth EGF-like domain (TM456) is critical to induce the anticoagulant
activity of thrombin. Crystallography of the thrombin-TM456 complex revealed no
significant structural changes in the thrombin, suggesting that TM4 may only
provide a scaffold for optimal alignment of protein C for its cleavage by thrombin.
However, a variety of experimental data have suggested that the presence of TM4
may affect the dynamic properties of the active site loops. In the present work,
we have used both conventional and accelerated molecular dynamics simulation to
study the structural dynamic properties of thrombin, thrombin:TM56 and
thrombin:TM456 across a broad range of time scales. Two distinct, yet interrelated
allosteric pathways are identified that mediate both the
pro- and anticoagulant activities of thrombin. One allosteric pathway, which
is present in both thrombin:TM56 and thrombin:TM456, directly links the TM5 domain
to the thrombin active site. The other allosteric pathway, which is only present
on slow time scales in the presence of the
TM4 domain, involves a complex extended network of correlated motions linking
the TM4 and TM5 domains and the active site loops of thrombin.