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Abstract
In this work, efficient methods are proposed for the calculation, from molecular dynamics trajectories, of residence times (RTs) and related quantities. One of these was designed to obtain RT distributions, from which mean residence times (MRTs), residual time distributions, and mean residual times can be computed. This method does not require the assumptions and approximations made by the most commonly used methods. Its link to the most popular method in the literature is identified. It is shown how the much faster new method can be used as a replacement for the latter and the advantages of doing so. Also, a prescription for estimating the uncertainty in the MRTs obtained though the proposed method is provided. Another even faster method for the calculation of the MRTs, their uncertainties, and the mean residual times is also proposed. It yields exactly the same results as the first one but does not allow to obtain the mentioned distributions. Another very popular method, based on autocorrelation functions, for computing MRTs is analyzed in terms of its assumptions and approximations. An alternative, also based on autocorrelation functions, which is faster and requires fewer assumptions is presented. A prescription for the calculation of the uncertainty of the MRTs obtained with the latter method is also provided. In the literature, there are a few methods to discard short transient escapes. Here, an algorithm is suggested that is much faster than the most used one and allows a more integral treatment of the process. Also, it is more widely applicable because it is a preprocessing step that can be used in conjunction with any of the proposed methods mentioned above. The main disadvantage of these two approaches to discard brief escapes is that the maximum duration allowed for an escape to be considered transient appears as a parameter to be determined for the particular system under study. As an alternative, a parameter-free method of a similar character is also proposed to estimate the mean residence time of particles that reached a constant probability of leaving the region of interest.
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Affiliation(s)
- Hernán R Sánchez
- Instituto de Física de Líquidos y Sistemas Biológicos, UNLP-CONICET, La Plata1900, Argentina
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2
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Toward a Better Understanding of the Gelation Mechanism of Methylcellulose via Systematic DSC Studies. Polymers (Basel) 2022; 14:polym14091810. [PMID: 35566979 PMCID: PMC9105695 DOI: 10.3390/polym14091810] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2022] [Revised: 04/22/2022] [Accepted: 04/26/2022] [Indexed: 02/07/2023] Open
Abstract
A methylcellulose (MC) is one of the materials representatives performing unique thermal-responsive properties. While reaching a critical temperature upon heating MC undergoes a physical sol-gel transition and consequently becomes a gel. The MC has been studied for many years and researchers agree that the MC gelation is related to the lower critical solution temperature (LCST). Nevertheless, a precise description of the MC gelation mechanism remains under discussion. In this study, we explained the MC gelation mechanism through examination of a wide range of MC concentrations via differential scanning calorimetry (DSC). The results evidenced that MC gelation is a multistep thermoreversible process, manifested by three and two endotherms depending on MC concentration. The occurrence of the three endotherms for low MC concentrations during heating has not been reported in the literature before. We justify this phenomenon by manifestation of three various transitions. The first one manifests water–water interactions, i.e., spanning water network breakdown into small water clusters. It is clearly evidenced by additional normalization to the water content. The second effect corresponds to polymer–water interactions, i.e., breakdown of water cages surrounded methoxy groups of MC. The last one is related to the polymer–polymer interactions, i.e., fibril hydrophobic domain formation. Not only did these results clarify the MC crosslinking mechanism, but also in the future will help to assess MC relevance for various potential application fields.
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Yadav K, Sardana D, Shweta H, Clovis NS, Sen S. Molecular Picture of the Effect of Cosolvent Crowding on Ligand Binding and Dispersed Solvation Dynamics in G-Quadruplex DNA. J Phys Chem B 2022; 126:1668-1681. [PMID: 35170968 DOI: 10.1021/acs.jpcb.1c09349] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
Understanding molecular interactions and dynamics of proteins and DNA in a cell-like crowded environment is crucial for predicting their functions within the cell. Noncanonical G-quadruplex DNA (GqDNA) structures adopt various topologies that were shown to be strongly affected by molecular crowding. However, it is unknown how such crowding affects the solvation dynamics in GqDNA. Here, we study the effect of cosolvent (acetonitrile) crowding on ligand (DAPI) solvation dynamics within human telomeric antiparallel GqDNA through direct comparison of time-resolved fluorescence Stokes shift (TRFSS) experiments and molecular dynamics (MD) simulations results. We show that ligand binding affinity to GqDNA is drastically affected by acetonitrile (ACN). Solvation dynamics probed by DAPI in GqDNA groove show dispersed dynamics from ∼100 fs to 10 ns in the absence and presence of 20% and 40% (v/v) ACN. The nature of dynamics remain similar in buffer and 20% ACN, although in 40% ACN, distinct dynamics is observed in <100 ps. MD simulations performed on GqDNA/DAPI complex reveal preferential solvation of ligand by ACN, particularly in 40% ACN. Simulated solvation time-correlation functions calculated from MD trajectories compare very well to the overall solvation dynamics of DAPI in GqDNA, observed in experiments. Linear response decomposition of simulated solvation correlation functions unfolds the origin of dispersed dynamics, showing that the slower dynamics is dominated by DNA-motion in the presence of ACN (and also by the ACN dynamics at higher concentration). However, water-DNA coupled motion controls the slow dynamics in the absence of ACN. Our data, thus, unravel a detailed molecular picture showing that though ACN crowding affect ligand binding affinity to GqDNA significantly, the overall dispersed solvation dynamics in GqDNA remain similar in the absence and the presence of 20% ACN, albeit with a small effect on the dynamics in the presence of 40% ACN due to preferential solvation of ligand by ACN.
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Affiliation(s)
- Kavita Yadav
- Spectroscopy Laboratory, School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
| | - Deepika Sardana
- Spectroscopy Laboratory, School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
| | - Him Shweta
- Spectroscopy Laboratory, School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
| | - Ndege Simisi Clovis
- Spectroscopy Laboratory, School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
| | - Sobhan Sen
- Spectroscopy Laboratory, School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
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Jin T, Long F, Zhang Q, Zhuang W. Site-Specific Water Dynamics in the First Hydration Layer of an Anti-Freeze Glyco-Protein: A Simulation Study. Phys Chem Chem Phys 2022; 24:21165-21177. [DOI: 10.1039/d2cp00883a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Antifreeze glycoproteins (AFGPs) inhibit ice recrystallization by a mechanism remaining largely elusive. Dynamics of AFGPs’ hydration water and its involvement in the antifreeze activity, for instance, have not been identified...
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Tomić A, Brkić H, Matić A, Tomić S. Unravelling the inhibitory zinc ion binding site and the metal exchange mechanism in human DPP III. Phys Chem Chem Phys 2021; 23:13267-13275. [PMID: 34095907 DOI: 10.1039/d1cp01302e] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Dipeptidyl peptidase III (DPP III), a zinc-dependent exopeptidase, is widely distributed in organisms and present in almost all human tissues. In addition to its involvement in protein catabolism, it plays a role in oxidative stress and blood pressure regulation, and there is evidence of its involvement in pain modulation. Excess zinc ions have been found to inhibit its hydrolytic activity, but the binding affinity, binding site geometry, and mechanism of inhibitory activity have been unknown. Using several different computational approaches, we determined the inhibitory zinc ion binding site, its coordination and relative binding affinity. During some simulations the translocation of the zinc ion from the inhibitory to the catalytic binding site was observed, accompanied by movement of the catalytic zinc ion toward the exit of the substrate binding site. The traced behavior suggests an associative type of metal ion exchange, in which the formation of the ternary complex between enzyme and two metal ions precedes the exit of the catalytic metal ion. Differently from our previous findings that binding of a peptide induces partial opening of hDPP III, the globularity of the protein did not change in MD simulations of the hermorphin-like peptide bound to hDPP III with two zinc ions. However, the entrance to the interdomain cleft widens during Zn diffusion into the protein and was found to be the highest energy barrier in the process of metal translocation from the solvent to the active site. Finally, we discuss why excess zinc reduces enzyme activity.
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Affiliation(s)
- Antonija Tomić
- Ruđer Bošković Institute, Division of Organic Chemistry and Biochemistry, Croatia.
| | - Hrvoje Brkić
- J. J. Strossmayer University of Osijek, Faculty of Medicine, Croatia and J. J. Strossmayer University of Osijek, Faculty of Dental Medicine and Health, Croatia
| | - Antonia Matić
- Ruđer Bošković Institute, Division of Organic Chemistry and Biochemistry, Croatia.
| | - Sanja Tomić
- Ruđer Bošković Institute, Division of Organic Chemistry and Biochemistry, Croatia.
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Li K, Yatsunyk L, Neidle S. Water spines and networks in G-quadruplex structures. Nucleic Acids Res 2021; 49:519-528. [PMID: 33290519 PMCID: PMC7797044 DOI: 10.1093/nar/gkaa1177] [Citation(s) in RCA: 23] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Abstract] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/20/2020] [Revised: 11/15/2020] [Accepted: 11/17/2020] [Indexed: 12/12/2022] Open
Abstract
Quadruplex DNAs can fold into a variety of distinct topologies, depending in part on loop types and orientations of individual strands, as shown by high-resolution crystal and NMR structures. Crystal structures also show associated water molecules. We report here on an analysis of the hydration arrangements around selected folded quadruplex DNAs, which has revealed several prominent features that re-occur in related structures. Many of the primary-sphere water molecules are found in the grooves and loop regions of these structures. At least one groove in anti-parallel and hybrid quadruplex structures is long and narrow and contains an extensive spine of linked primary-sphere water molecules. This spine is analogous to but fundamentally distinct from the well-characterized spine observed in the minor groove of A/T-rich duplex DNA, in that every water molecule in the continuous quadruplex spines makes a direct hydrogen bond contact with groove atoms, principally phosphate oxygen atoms lining groove walls and guanine base nitrogen atoms on the groove floor. By contrast, parallel quadruplexes do not have extended grooves, but primary-sphere water molecules still cluster in them and are especially associated with the loops, helping to stabilize loop conformations.
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Affiliation(s)
- Kevin Li
- Department of Chemistry and Biochemistry, Swarthmore College, Swarthmore, PA 19081, USA
| | - Liliya Yatsunyk
- Department of Chemistry and Biochemistry, Swarthmore College, Swarthmore, PA 19081, USA
| | - Stephen Neidle
- UCL School of Pharmacy, University College London, London WC1N 1AX, UK
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Tenuzzo L, Camisasca G, Gallo P. Protein-Water and Water-Water Long-Time Relaxations in Protein Hydration Water upon Cooling-A Close Look through Density Correlation Functions. Molecules 2020; 25:molecules25194570. [PMID: 33036320 PMCID: PMC7583983 DOI: 10.3390/molecules25194570] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/31/2020] [Revised: 09/29/2020] [Accepted: 09/30/2020] [Indexed: 11/16/2022] Open
Abstract
We report results on the translational dynamics of the hydration water of the lysozyme protein upon cooling obtained by means of molecular dynamics simulations. The self van Hove functions and the mean square displacements of hydration water show two different temperature activated relaxation mechanisms, determining two dynamic regimes where transient trapping of the molecules is followed by hopping phenomena to allow to the structural relaxations. The two caging and hopping regimes are different in their nature. The low-temperature hopping regime has a time scale of tenths of nanoseconds and a length scale on the order of 2–3 water shells. This is connected to the nearest-neighbours cage effect and restricted to the supercooling, it is absent at high temperature and it is the mechanism to escape from the cage also present in bulk water. The second hopping regime is active at high temperatures, on the nanoseconds time scale and over distances of nanometers. This regime is connected to water displacements driven by the protein motion and it is observed very clearly at high temperatures and for temperatures higher than the protein dynamical transition. Below this temperature, the suppression of protein fluctuations largely increases the time-scale of the protein-related hopping phenomena at least over 100 ns. These protein-related hopping phenomena permit the detection of translational motions of hydration water molecules longly persistent in the hydration shell of the protein.
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Biswas AD, Barone V, Amadei A, Daidone I. Length-scale dependence of protein hydration-shell density. Phys Chem Chem Phys 2020; 22:7340-7347. [PMID: 32211621 DOI: 10.1039/c9cp06214a] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Abstract
Here we present a computational approach based on molecular dynamics (MD) simulation to study the dependence of the protein hydration-shell density on the size of the protein molecule. The hydration-shell density of eighteen different proteins, differing in size, shape and function (eight of them are antifreeze proteins), is calculated. The results obtained show that an increase in the hydration-shell density, relative to that of the bulk, is observed (in the range of 4-14%) for all studied proteins and that this increment strongly correlates with the protein size. In particular, a decrease in the density increment is observed for decreasing protein size. A simple model is proposed in which the basic idea is to approximate the protein molecule as an effective ellipsoid and to partition the relevant parameters, i.e. the solvent-accessible volume and the corresponding solvent density, into two regions: inside and outside the effective protein ellipsoid. It is found that, within the model developed here, almost all of the hydration-density increase is located inside the protein ellipsoid, basically corresponding to pockets within, or at the surface of the protein molecule. The observed decrease in the density increment is caused by the protein size only and no difference is found between antifreeze and non-antifreeze proteins.
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Affiliation(s)
- Akash Deep Biswas
- Department of Physical and Chemical Sciences, University of L'Aquila, via Vetoio (Coppito 1), 67010 L'Aquila, Italy.
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Sardana D, Yadav K, Shweta H, Clovis NS, Alam P, Sen S. Origin of Slow Solvation Dynamics in DNA: DAPI in Minor Groove of Dickerson-Drew DNA. J Phys Chem B 2019; 123:10202-10216. [PMID: 31589442 DOI: 10.1021/acs.jpcb.9b09275] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The measurement and understanding of collective solvation dynamics in DNA have vital biological implications, as protein and ligand binding to DNA can be directly controlled by complex electrostatic interactions of anionic DNA and surrounding dipolar water, and ions. Time-resolved fluorescence Stokes shift (TRFSS) experiments revealed anomalously slow solvation dynamics in DNA much beyond 100 ps that follow either power-law or slow multiexponential decay over several nanoseconds. The origin of such dispersed dynamics remains difficult to understand. Here we compare results of TRFSS experiments to molecular dynamics (MD) simulations of well-known 4',6-diamidino-2-phenylindole (DAPI)/Dickerson-Drew DNA complex over five decades of time from 100 fs to 10 ns to understand the origin of such dispersed dynamics. We show that the solvation time-correlation function (TCF) calculated from 200 ns simulation trajectory (total 800 ns) captures most features of slow dynamics as measured in TRFSS experiments. Decomposition of TCF into individual components unravels that slow dynamics originating from dynamically coupled DNA-water motion, although contribution from coupled water-Na+ motion is non-negligible. The analysis of residence time of water molecules around the probe (DAPI) reveals broad distribution from ∼6 ps to ∼3.5 ns: Several (49 nos.) water molecules show residences time greater than 500 ps, of which at least 14 water molecules show residence times of more than 1 ns in the first solvation shell of DAPI. Most of these slow water molecules are found to occupy two hydration sites in the minor groove near DAPI binding site. The residence time of Na+, however, is found to vary within ∼17-120 ps. Remarkably, we find that freezing the DNA fluctuations in simulation eliminates slower dynamics beyond ∼100 ps, where water and Na+ dynamics become faster, although strong anticorrelation exists between them. These results indicate that primary origin of slow dynamics lies within the slow fluctuations of DNA parts that couple with nearby slow water and ions to control the dispersed collective solvation dynamics in DNA minor groove.
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Affiliation(s)
- Deepika Sardana
- Spectroscopy Laboratory, School of Physical Sciences , Jawaharlal Nehru University , New Delhi 110067 , India
| | - Kavita Yadav
- Spectroscopy Laboratory, School of Physical Sciences , Jawaharlal Nehru University , New Delhi 110067 , India
| | - Him Shweta
- Spectroscopy Laboratory, School of Physical Sciences , Jawaharlal Nehru University , New Delhi 110067 , India
| | - Ndege Simisi Clovis
- Spectroscopy Laboratory, School of Physical Sciences , Jawaharlal Nehru University , New Delhi 110067 , India
| | - Parvez Alam
- Spectroscopy Laboratory, School of Physical Sciences , Jawaharlal Nehru University , New Delhi 110067 , India
| | - Sobhan Sen
- Spectroscopy Laboratory, School of Physical Sciences , Jawaharlal Nehru University , New Delhi 110067 , India
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