Radhakrishnan, Ravi
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Publication Effect of oxidatively damaged DNA on the active site preorganization during nucleotide incorporation in a high fidelity polymerase from Bacillus stearothermophilus(2007-12-07) Venkatramani, Ravindra; Radhakrishnan, RaviWe study the effect of the oxidative lesion 8-oxoguanine (8oxoG) on the preorganization of the active site for DNA replication in the closed (active) state of the Bacillus fragment (BF), a Klenow analog from Bacillus stearothermophilus. Our molecular dynamics and free energy simulations of explicitly solvated model ternary complexes of BF bound to correct dCTP/incorrect dATP opposite guanine (G) and 8oxoG bases in DNA suggest that the lesion introduces structural and energetic changes at the catalytic site to favor dATP insertion. Despite the formation of a stable Watson- Crick pairing in the 8oxoG:dCTP system, the catalytic geometry is severely distorted to possibly slow down catalysis. Indeed, our calculated free energy landscapes associated with active site preorganization suggest additional barriers to assemble an efficient catalytic site, which need to be overcome during dCTP incorporation opposite 8oxoG relative to that opposite undamaged G. In contrast, the catalytic geometry for the Hoogsteen pairing in the 8oxoG:dATP system is highly organized and poised for efficient nucleotide incorporation via the "two-metal-ion" catalyzed phosphoryl transfer mechanism. However, the free energy calculations suggest that the catalytic geometry during dATP incorporation opposite 8oxoG is considerably less plastic than that during dCTP incorporation opposite G despite a very similar, well organized catalytic site for both systems. A correlation analysis of the dynamics trajectories suggests the presence of significant coupling between motions of the polymerase fingers and the primary distance for nucleophilic attack (i.e., between the terminal primer O3′ and the dNTP Pα atoms) during correct dCTP incorporation opposite undamaged G. This coupling is shown to be disrupted during nucleotide incorporation by the polymerase with oxidatively damaged DNA/dNTP substrates. We also suggest that the lesion affects DNA interactions with key polymerase residues, thereby affecting the enzymes ability to discriminate against noncomplementary DNA/dNTP substrates. Taken together, our results provide a unified structural, energetic, and dynamic platform to rationalize experimentally observed relative nucleotide incorporation rates for correct dCTP/incorrect dATP insertion opposite an undamaged/oxidatively damaged template G by BF.Publication The effect of oxidatively damaged DNA on the active site pre-organization during nucleotide incorporation in a high fidelity polymerase from Bacillus stearothermophilus(2008-05-15) Venkatramani, Ravindra; Radhakrishnan, RaviWe study the effect of the oxidative lesion 8-oxoguanine (8oxoG) on the pre-organization of the active site for DNA replication in the closed (active) state of the Bacillus Fragment (BF), a Klenow analog from Bacillus stearothermophilus. Our molecular dynamics and free energy simulations of explicitly solvated model ternary complexes of BF bound to correct dCTP/incorrect dATP opposite guanine (G) and 8oxoG bases in DNA suggest that the lesion introduces structural and energetic changes at the catalytic site to favor dATP insertion. Despite the formation of a stable Watson-Crick pairing in the 8oxoG:dCTP system, the catalytic geometry is severely distorted to possibly slow down catalysis. Indeed, our calculated free energy landscapes associated with active site pre-organization suggest additional barriers to assemble an efficient catalytic site, which need to be overcome during dCTP incorporation opposite 8oxoG relative to that opposite undamaged G. In contrast, the catalytic geometry for the Hoogsteen pairing in the 8oxoG:dATP system is highly organized and poised for efficient nucleotide incorporation via the "twometal- ion" catalyzed phosphoryl transfer mechanism. However, the free energy calculations suggest that the catalytic geometry during dATP incorporation opposite 8oxoG is considerably less plastic than that during dCTP incorporation opposite G despite a very similar, well organized catalytic site for both systems. A correlation analysis of the dynamics trajectories suggests the presence of significant coupling between motions of the polymerase fingers and the primary distance for nucleophilic attack (i.e., between the terminal primer O3´ and the dNTP Pα atoms) during correct dCTP incorporation opposite undamaged G. This coupling is shown to be disrupted during nucleotide incorporation by the polymerase with oxidatively damaged DNA/dNTP substrates. We also suggest that the lesion affects DNA interactions with key polymerase residues, thereby affecting the enzymes ability to discriminate against noncomplementary DNA/dNTP substrates. Taken together, our results provide a unified structural, energetic, and dynamic platform to rationalize experimentally observed relative nucleotide incorporation rates for correct dCTP/incorrect dATP insertion opposite an undamaged/oxidatively damaged template G by BF.Publication Geometry of mediating protein affects the probability of loop formation in DNA.(2008-04-15) Agrawal, Neeraj J; Radhakrishnan, Ravi; Purohit, Prashant KRecent single molecule experiments have determined the probability of loop formation in DNA as a function of the DNA contour length for different types of looping proteins. The optimal contour length for loop formation as well as the probability density functions have been found to be strongly dependent on the type of looping protein used. We show, using Monte Carlo simulations and analytical calculations, that these observations can be replicated using the wormlike-chain model for double-stranded DNA if we account for the nonzero size of the looping protein. The simulations have been performed in two dimensions so that bending is the only mode of deformation available to the DNA while the geometry of the looping protein enters through a single variable which is representative of its size. We observe two important effects that seem to directly depend on the size of the enzyme: 1), the overall propensity of loop formation at any given value of the DNA contour length increases with the size of the enzyme; and 2), the contour length corresponding to the first peak as well as the first well in the probability density functions increases with the size of the enzyme. Additionally, the eigenmodes of the fluctuating shape of the looped DNA calculated from simulations and theory are in excellent agreement, and reveal that most of the fluctuations in the DNA occur in regions of low curvature.Publication Molecular Systems Biology of ErbB1 Signaling: Bridging the Gap through Multiscale Modeling and High-Performance Computing(2008-12-01) Shih, Andrew; Radhakrishnan, Ravi; Purvis, JeremyThe complexity in intracellular signaling mechanisms relevant for the conquest of many diseases resides at different levels of organization with scales ranging from the subatomic realm relevant to catalytic functions of enzymes to the mesoscopic realm relevant to the cooperative association of molecular assemblies and membrane processes. Consequently, the challenge of representing and quantifying functional or dysfunctional modules within the networks remains due to the current limitations in our understanding of mesoscopic biology, i.e., how the components assemble into functional molecular ensembles. A multiscale approach is necessary to treat a hierarchy of interactions ranging from molecular (nm, ns) to signaling (μm, ms) length and time scales, which necessitates the development and application of specialized modeling tools. Complementary to multiscale experimentation (encompassing structural biology, mechanistic enzymology, cell biology, and single molecule studies) multiscale modeling offers a powerful and quantitative alternative for the study of functional intracellular signaling modules. Here, we describe the application of a multiscale approach to signaling mediated by the ErbB1 receptor which constitutes a network hub for the cell’s proliferative, migratory, and survival programs. Through our multiscale model, we mechanistically describe how point-mutations in the ErbB1 receptor can profoundly alter signaling characteristics leading to the onset of oncogenic transformations. Specifically, we describe how the point mutations induce cascading fragility mechanisms at the molecular scale as well as at the scale of the signaling network to preferentially activate the survival factor Akt. We provide a quantitative explanation for how the hallmark of preferential Akt activation in cell-lines harboring the constitutively active mutant ErbB1 receptors causes these cell-lines to be addicted to ErbB1-mediated generation of survival signals. Consequently, inhibition of ErbB1 activity leads to a remarkable therapeutic response in the addicted cell lines.Publication Generalized Langevin dynamics of a nanoparticle using a finite element approach: Thermostating with correlated noise(2011-09-16) Balakrishnan, Uma; Swaminathan, T. N.; Ayyaswamy, Portonovo S; Eckmann, David M; Radhakrishnan, RaviA direct numerical simulation (DNS) procedure is employed to study the thermal motion of a nanoparticle in an incompressible Newtonian stationary fluid medium with the generalized Langevin approach. We consider both the Markovian (white noise) and non-Markovian (Ornstein-Uhlenbeck noise and Mittag-Leffler noise) processes. Initial locations of the particle are at various distances from the bounding wall to delineate wall effects. At thermal equilibrium, the numerical results are validated by comparing the calculated translational and rotational temperatures of the particle with those obtained from the equipartition theorem. The nature of the hydrodynamic interactions is verified by comparing the velocity autocorrelation functions and mean square displacements with analytical results. Numerical predictions of wall interactions with the particle in terms of mean square displacements are compared with analytical results. In the non-Markovian Langevin approach, an appropriate choice of colored noise is required to satisfy the power-law decay in the velocity autocorrelation function at long times. The results obtained by using non-Markovian Mittag-Leffler noise simultaneously satisfy the equipartition theorem and the long-time behavior of the hydrodynamic correlations for a range of memory correlation times. The Ornstein-Uhlenbeck process does not provide the appropriate hydrodynamic correlations. Comparing our DNS results to the solution of an one-dimensional generalized Langevin equation, it is observed that where the thermostat adheres to the equipartition theorem, the characteristic memory time in the noise is consistent with the inherent time scale of the memory kernel. The performance of the thermostat with respect to equilibrium and dynamic properties for various noise schemes is discussed.Publication Steady-State Kinetic Modeling Constrains Cellular Resting States and Dynamic Behavior(2009-03-06) Purvis, Jeremy E; Radhakrishnan, Ravi; Diamond, Scott LA defining characteristic of living cells is the ability to respond dynamically to external stimuli while maintaining homeostasis under resting conditions. Capturing both of these features in a single kinetic model is difficult because the model must be able to reproduce both behaviors using the same set of molecular components. Here, we show how combining small, well-defined steady-state networks provides an efficient means of constructing large-scale kinetic models that exhibit realistic resting and dynamic behaviors. By requiring each kinetic module to be homeostatic (at steady state under resting conditions), the method proceeds by (i) computing steady-state solutions to a system of ordinary differential equations for each module, (ii) applying principal component analysis to each set of solutions to capture the steady-state solution space of each module network, and (iii) combining optimal search directions from all modules to form a global steady-state space that is searched for accurate simulation of the time-dependent behavior of the whole system upon perturbation. Importantly, this stepwise approach retains the nonlinear rate expressions that govern each reaction in the system and enforces constraints on the range of allowable concentration states for the full-scale model. These constraints not only reduce the computational cost of fitting experimental time-series data but can also provide insight into limitations on system concentrations and architecture. To demonstrate application of the method, we show how small kinetic perturbations in a modular model of platelet P2Y(1) signaling can cause widespread compensatory effects on cellular resting states.Publication Computational Model or Nanocarrier Binding to Endothelium Validated Using in Vivo, in Vitro and Atomic Force Microscopy Experiments(2010-09-21) Liu, Jin; Zern, Blaine; Ayyaswamy, Portonovo S; Eckmann, David M; Muzykantov, Vladimir R; Radhakrishnan, Ravi; Weller, Gregory E.R.A computational methodology based on Metropolis Monte Carlo (MC) and the weighted histogram analysis method (WHAM) has been developed to calculate the absolute binding free energy between functionalized nanocarriers (NC) and endothelial cell (EC) surfaces. The calculated NC binding free energy landscapes yield binding affinities that agree quantitatively when directly compared against analogous measurements of specific antibodycoated NCs (100 nm in diameter) to intracellular adhesion molecule- 1 (ICAM-1) expressing EC surface in in vitro cell-culture experiments. The effect of antibody surface coverage (σs) of NC on binding simulations reveals a threshold σs value below which the NC binding affinities reduce drastically and drop lower than that of single anti-ICAM-1 molecule to ICAM-1. The model suggests that the dominant effect of changing σs around the threshold is through a change in multivalent interactions; however, the loss in translational and rotational entropies are also important. Consideration of shear flow and glycocalyx does not alter the computed threshold of antibody surface coverage. The computed trend describing the effect of σs on NC binding agrees remarkably well with experimental results of in vivo targeting of the anti- ICAM-1 coated NCs to pulmonary endothelium in mice. Model results are further validated through close agreement between computed NC rupture-force distribution and measured values in atomic force microscopy (AFM) experiments. The three-way quantitative agreement with AFM, in vitro (cell-culture), and in vivo experiments establishes the mechanical, thermodynamic, and physiological consistency of our model. Hence, our computational protocol represents a quantitative and predictive approach for model-driven design and optimization of functionalized nanocarriers in targeted vascular drug deliveryPublication The ErbB3/HER3 Intracellular Domain is Competent to Bind ATP and Catalyze Autophosphorylation(2010-04-27) Shi, Fumin; Telesco, Shannon; Liu, Yingting; Radhakrishnan, Ravi; Lemmon, MarkErbB3/HER3 is one of four members of the human epidermal growth factor receptor (EGFR/HER) or ErbB receptor tyrosine kinase family. ErbB3 binds neuregulins via its extracellular region and signals primarily by heterodimerizing with ErbB2/HER2/Neu. A recently appreciated role for ErbB3 in resistance of tumor cells to EGFR/ErbB2-targeted therapeutics has made it a focus of attention. However, efforts to inactivate ErbB3 therapeutically in parallel with other ErbB receptors are challenging because its intracellular kinase domain is thought to be an inactive pseudokinase that lacks several key conserved (and catalytically important) residues-including the catalytic base aspartate. We report here that, despite these sequence alterations, ErbB3 retains sufficient kinase activity to robustly trans-autophosphorylate its intracellular region--although it is substantially less active than EGFR and does not phosphorylate exogenous peptides. The ErbB3 kinase domain binds ATP with a K(d) of approximately 1.1 microM. We describe a crystal structure of ErbB3 kinase bound to an ATP analogue, which resembles the inactive EGFR and ErbB4 kinase domains (but with a shortened alphaC-helix). Whereas mutations that destabilize this configuration activate EGFR and ErbB4 (and promote EGFR-dependent lung cancers), a similar mutation conversely inactivates ErbB3. Using quantum mechanics/molecular mechanics simulations, we delineate a reaction pathway for ErbB3-catalyzed phosphoryl transfer that does not require the conserved catalytic base and can be catalyzed by the "inactive-like" configuration observed crystallographically. These findings suggest that ErbB3 kinase activity within receptor dimers may be crucial for signaling and could represent an important therapeutic target.Publication Calculation of free energies in fluid membranes subject to heterogeneous curvature fields(2009-07-30) Agrawal, Neeraj J; Radhakrishnan, RaviWe present a computational methodology for incorporating thermal effects and calculating relative free energies for elastic fluid membranes subject to spatially dependent intrinsic curvature fields using the method of thermodynamic integration. Based on a simple model for the intrinsic curvature imposed only in a localized region of the membrane, we employ thermodynamic integration to calculate the free-energy change as a function of increasing strength of the intrinsic curvature field and a thermodynamic cycle to compute free-energy changes for different sizes of the localized region. By explicitly computing the free-energy changes and by quantifying the loss of entropy accompanied with increasing membrane deformation, we show that the membrane stiffness increases with increasing intrinsic field, thereby, renormalizing the membrane bending rigidity. The second main conclusion of this work is that the entropy of the membrane decreases with increasing size of the localized region subject to the curvature field. Our results help to quantify the free-energy change when a planar membrane deforms under the influence of curvature-inducing proteins at a finite temperature.Publication Coupling of Fast and Slow Modes in the Reaction Pathway of the Minimal Hammerhead Ribozyme Cleavage(2007-10-01) Radhakrishnan, RaviBy employing classical molecular dynamics, correlation analysis of coupling between slow and fast dynamical modes, and free energy (umbrella) sampling using classical as well as mixed quantum mechanics molecular mechanics force fields, we uncover a possible pathway for phosphoryl transfer in the self-cleaving reaction of the minimal hammerhead ribozyme. The significance of this pathway is that it initiates from the minimal hammerhead crystal structure and describes the reaction landscape as a conformational rearrangement followed by a covalent transformation. The delineated mechanism is catalyzed by two metal (Mg2+) ions, proceeds via an in-line-attack by CYT 17 O2′ on the scissile phosphorous (ADE 1.1 P), and is therefore consistent with the experimentally observed inversion configuration. According to the delineated mechanism, the coupling between slow modes involving the hammerhead backbone with fast modes in the cleavage site appears to be crucial for setting up the in-line nucleophilic attack.