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Herron L, Mondal K, Schneekloth JS, Tiwary P. Inferring phase transitions and critical exponents from limited observations with thermodynamic maps. Proc Natl Acad Sci U S A 2024; 121:e2321971121. [PMID: 39680772 DOI: 10.1073/pnas.2321971121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2023] [Accepted: 10/15/2024] [Indexed: 12/18/2024] Open
Abstract
Phase transitions are ubiquitous across life, yet hard to quantify and describe accurately. In this work, we develop an approach for characterizing generic attributes of phase transitions from very limited observations made deep within different phases' domains of stability. Our approach is called thermodynamic maps (TM), which combines statistical mechanics and molecular simulations with score-based generative models. TM enable learning the temperature dependence of arbitrary thermodynamic observables across a wide range of temperatures. We show its usefulness by calculating phase transition attributes such as melting temperature, temperature-dependent heat capacities, and critical exponents. For instance, we demonstrate the ability of TM to infer the ferromagnetic phase transition of the Ising model, including temperature-dependent heat capacity and critical exponents, despite never having seen samples from the transition region. In addition, we efficiently characterize the temperature-dependent conformational ensemble and compute melting curves of the two RNA systems: a GCAA tetraloop and the HIV-TAR RNA, which are notoriously hard to sample due to glassy-like energy landscapes.
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Affiliation(s)
- Lukas Herron
- Biophysics Program and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742
- University of Maryland Institute for Health Computing, Bethesda, MD 20852
| | - Kinjal Mondal
- Biophysics Program and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742
| | - John S Schneekloth
- Chemical Biology Laboratory, National Cancer Institute, Frederick, MD 21702
| | - Pratyush Tiwary
- University of Maryland Institute for Health Computing, Bethesda, MD 20852
- Department of Chemistry and Biochemistry and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742
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Sánchez IE, Galpern EA, Ferreiro DU. Solvent constraints for biopolymer folding and evolution in extraterrestrial environments. Proc Natl Acad Sci U S A 2024; 121:e2318905121. [PMID: 38739787 PMCID: PMC11127021 DOI: 10.1073/pnas.2318905121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2023] [Accepted: 04/16/2024] [Indexed: 05/16/2024] Open
Abstract
We propose that spontaneous folding and molecular evolution of biopolymers are two universal aspects that must concur for life to happen. These aspects are fundamentally related to the chemical composition of biopolymers and crucially depend on the solvent in which they are embedded. We show that molecular information theory and energy landscape theory allow us to explore the limits that solvents impose on biopolymer existence. We consider 54 solvents, including water, alcohols, hydrocarbons, halogenated solvents, aromatic solvents, and low molecular weight substances made up of elements abundant in the universe, which may potentially take part in alternative biochemistries. We find that along with water, there are many solvents for which the liquid regime is compatible with biopolymer folding and evolution. We present a ranking of the solvents in terms of biopolymer compatibility. Many of these solvents have been found in molecular clouds or may be expected to occur in extrasolar planets.
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Affiliation(s)
- Ignacio E. Sánchez
- Laboratorio de Fisiología de Proteínas, Departamento de Química Biológica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos AiresCP1428, Argentina
- Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales, Buenos AiresCP1428, Argentina
| | - Ezequiel A. Galpern
- Laboratorio de Fisiología de Proteínas, Departamento de Química Biológica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos AiresCP1428, Argentina
- Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales, Buenos AiresCP1428, Argentina
| | - Diego U. Ferreiro
- Laboratorio de Fisiología de Proteínas, Departamento de Química Biológica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos AiresCP1428, Argentina
- Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales, Buenos AiresCP1428, Argentina
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Sarkar R, Mainan A, Roy S. Influence of ion and hydration atmospheres on RNA structure and dynamics: insights from advanced theoretical and computational methods. Chem Commun (Camb) 2024. [PMID: 38501190 DOI: 10.1039/d3cc06105a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/20/2024]
Abstract
RNA, a highly charged biopolymer composed of negatively charged phosphate groups, defies electrostatic repulsion to adopt well-defined, compact structures. Hence, the presence of positively charged metal ions is crucial not only for RNA's charge neutralization, but they also coherently decorate the ion atmosphere of RNA to stabilize its compact fold. This feature article elucidates various modes of close RNA-ion interactions, with a special emphasis on Mg2+ as an outer-sphere and inner-sphere ion. Through examples, we highlight how inner-sphere chelated Mg2+ stabilizes RNA pseudoknots, while outer-sphere ions can also exert long-range electrostatic interactions, inducing groove narrowing, coaxial helical stacking, and RNA ring formation. In addition to investigating the RNA's ion environment, we note that the RNA's hydration environment is relatively underexplored. Our study delves into its profound interplay with the structural dynamics of RNA, employing state-of-the-art atomistic simulation techniques. Through examples, we illustrate how specific ions and water molecules are associated with RNA functions, leveraging atomistic simulations to identify preferential ion binding and hydration sites. However, understanding their impact(s) on the RNA structure remains challenging due to the involvement of large length and long time scales associated with RNA's dynamic nature. Nevertheless, our contributions and recent advances in coarse-grained simulation techniques offer insights into large-scale structural changes dynamically linked to the RNA ion atmosphere. In this connection, we also review how different cutting-edge computational simulation methods provide a microscopic lens into the influence of ions and hydration on RNA structure and dynamics, elucidating distinct ion atmospheric components and specific hydration layers and their individual and collective impacts.
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Affiliation(s)
- Raju Sarkar
- Department of Chemical Sciences, Indian Institute of Science Education and Research, Kolkata, West Bengal 741246, India.
| | - Avijit Mainan
- Department of Chemical Sciences, Indian Institute of Science Education and Research, Kolkata, West Bengal 741246, India.
| | - Susmita Roy
- Department of Chemical Sciences, Indian Institute of Science Education and Research, Kolkata, West Bengal 741246, India.
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Sarkar R, Singh RK, Roy S. Hierarchical Hydration Dynamics of RNA with Nano-Water-Pool at Its Core. J Phys Chem B 2023; 127:6903-6919. [PMID: 37506269 DOI: 10.1021/acs.jpcb.3c03553] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/30/2023]
Abstract
Many functional RNAs fold into a compact, roughly globular shape by minimizing the electrostatic repulsion between their negatively charged phosphodiester backbone. The fold of such close, compact RNA architecture is often so designed that its outer surface and complex core both are predominately populated by phosphate groups loosely sequestering bases in the intermediate layers. A number of helical junctions maintain the RNA core and its nano-water-pool. While the folding of RNA is manifested by its counterion environment composed of mixed mono- and divalent salts, the concerted role of ion and water in maintaining an RNA fold is yet to be explored. In this work, detailed atomistic simulations of SAM-I and Add Adenine riboswitch aptamers, and subgenomic flavivirus RNA (sfRNA) have been performed in a physiological mixed mono- and divalent salt environment. All three RNA systems have compact folds with a core diameter of range 1-1.7 nm. The spatiotemporal heterogeneity of RNA hydration was probed in a layer-wise manner by distinguishing the core, the intermediate, and the outer layers. The layer-wise decomposition of hydrogen bonds and collective single-particle reorientational dynamics reveal a nonmonotonic relaxation pattern with the slowest relaxation observed at the intermediate layers that involves functionally important tertiary motifs. The slowness of this intermediate layer is attributed to two types of long-resident water molecules: (i) water from ion-hydration layers and (ii) structurally trapped water (distant from ions). The relaxation kinetics of the core and the surface water essentially exposed to the phosphate groups show well-separated time scales from the intermediate layers. In the slow intermediate layers, site-specific ions and water control the functional dynamics of important RNA motifs like kink-turn, observed in different structure-probing experiments. Most interestingly, we find that as the size of the RNA core increases (SAM1 core < sfRNAcore < Add adenine core), its hydration tends to show faster relaxation. The hierarchical hydration and the layer-wise base-phosphate composition uniquely portray the globular RNA to act like a soft vesicle with a quasi-dynamic nano-water-pool at its core.
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Affiliation(s)
- Raju Sarkar
- Department of Chemical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal, India
| | - Rishabh K Singh
- Department of Chemical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal, India
| | - Susmita Roy
- Department of Chemical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal, India
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Khan RAA, Luo M, Alsaad AM, Qattan IA, Abedrabbo S, Hua D, Zulfqar A. The Role of Polymer Chain Stiffness and Guest Nanoparticle Loading in Improving the Glass Transition Temperature of Polymer Nanocomposites. NANOMATERIALS (BASEL, SWITZERLAND) 2023; 13:1896. [PMID: 37446412 DOI: 10.3390/nano13131896] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/18/2023] [Revised: 06/08/2023] [Accepted: 06/13/2023] [Indexed: 07/15/2023]
Abstract
The impact of polymer chain stiffness characterized by the bending modulus (kθ) on the glass transition temperature (Tg) of pure polymer systems, as well as polymer nanocomposites (PNCs), is investigated using molecular dynamics simulations. At small kθ values, the pure polymer system and respective PNCs are in an amorphous state, whereas at large kθ values, both systems are in a semicrystalline state with a glass transition at low temperature. For the pure polymer system, Tg initially increases with kθ and does not change obviously at large kθ. However, the Tg of PNCs shows interesting behaviors with the increasing volume fraction of nanoparticles (fNP) at different kθ values. Tg tends to increase with fNP at small kθ, whereas it becomes suppressed at large kθ.
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Affiliation(s)
- Raja Azhar Ashraaf Khan
- Department of Physics, Zhejiang Normal University, Jinhua 321004, China
- Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Mengbo Luo
- Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Ahmad M Alsaad
- Department of Physics, Jordan University of Science & Technology, P.O. Box 3030, Irbid 22110, Jordan
| | - Issam A Qattan
- Department of Physics, Khalifa University of Science and Technology, P.O. Box 127788, Abu Dhabi 127788, United Arab Emirates
| | - Sufian Abedrabbo
- Department of Physics, Khalifa University of Science and Technology, P.O. Box 127788, Abu Dhabi 127788, United Arab Emirates
| | - Daoyang Hua
- Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Afsheen Zulfqar
- Department of Physics, Zhejiang Normal University, Jinhua 321004, China
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Ray D, Andricioaei I. Free Energy Landscape and Conformational Kinetics of Hoogsteen Base Pairing in DNA vs. RNA. Biophys J 2020; 119:1568-1579. [PMID: 32946766 DOI: 10.1016/j.bpj.2020.08.031] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/06/2019] [Revised: 05/10/2020] [Accepted: 08/25/2020] [Indexed: 10/23/2022] Open
Abstract
Genetic information is encoded in the DNA double helix, which, in its physiological milieu, is characterized by the iconical Watson-Crick nucleo-base pairing. Recent NMR relaxation experiments revealed the transient presence of an alternative, Hoogsteen (HG) base pairing pattern in naked DNA duplexes, and estimated its relative stability and lifetime. In contrast with DNA, such structures were not observed in RNA duplexes. Understanding HG base pairing is important because the underlying "breathing" motion between the two conformations can significantly modulate protein binding. However, a detailed mechanistic insight into the transition pathways and kinetics is still missing. We performed enhanced sampling simulation (with combined metadynamics and adaptive force-bias method) and Markov state modeling to obtain accurate free energy, kinetics, and the intermediates in the transition pathway between Watson-Crick and HG base pairs for both naked B-DNA and A-RNA duplexes. The Markov state model constructed from our unbiased MD simulation data revealed previously unknown complex extrahelical intermediates in the seemingly simple process of base flipping in B-DNA. Extending our calculation to A-RNA, for which HG base pairing is not observed experimentally, resulted in relatively unstable, single-hydrogen-bonded, distorted Hoogsteen-like bases. Unlike B-DNA, the transition pathway primarily involved base paired and intrahelical intermediates with transition timescales much longer than that of B-DNA. The seemingly obvious flip-over reaction coordinate (i.e., the glycosidic torsion angle) is unable to resolve the intermediates. Instead, a multidimensional picture involving backbone dihedral angles and distance between hydrogen bond donor and acceptor atoms is required to gain insight into the molecular mechanism.
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Affiliation(s)
| | - Ioan Andricioaei
- Department of Chemistry; Department of Physics and Astronomy, University of California Irvine, Irvine, California.
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Pathak AK, Bandyopadhyay T. Temperature Induced Dynamical Transition of Biomolecules in Polarizable and Nonpolarizable TIP3P Water. J Chem Theory Comput 2019; 15:2706-2718. [PMID: 30849227 DOI: 10.1021/acs.jctc.9b00005] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Temperature induced dynamical transition (DT), associated with a sharp rise in molecular flexibility, is well-known to be exhibited between 270 and 280 K in glycerol to 200-230 K in hydrated biomolecules and is controlled by diffusivity (viscosity) of the solvation layer. In the molecular dynamics (MD) community, especially for water as a solvent, this has been an intense area of research despite decades of investigations. However, in general, water in these studies is described by empirical nonpolarizable force fields in which electronic polarizability is treated implicitly with effective charges and related parameters. This might have led to the present trait of discovery that DTs of biomolecules, irrespective of the potential functions for water models used, occur within a narrow band of temperature variation (30-40 K). Whereas a water molecule in a biomolecular surface and one in bulk are polarized differently, therefore explicit treatment of water polarizability would be a powerful approach toward the treatment of hydration water, believed to cause the DT manifestation. Using MD simulations, we investigated the effects of polarizable water on the DT of biomolecules and the dynamic properties of hydration water. We chose two types of solutes: globular protein (lysozyme) and more open and flexible RNAs (a hairpin and a riboswitch) with different natures of hydrophilic sites than proteins in general. We found that the characteristic temperature of DT ( TDT) for the solutes in polarizable water is always higher than that in its nonpolarizable counterpart. In particular, for RNAs, the variations are found to be ∼45 K between the two water models, whereas for the more compact lysozyme, it is only ∼4 K. The results are discussed in light of the enormous increase in relaxation times of a liquid upon cooling in the paradigm of dynamic switchover in hydration water with liquid-liquid phase transition, derived from the existence of the second critical point. Our result supports the idea that structures of biomolecules and their interactions with the hydration water determines TDT and provides evidence for the decisive role of polarizable water on the onset of DT, which has been hitherto ignored.
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Affiliation(s)
- Arup Kumar Pathak
- Theoretical Chemistry Section , Bhabha Atomic Research Centre , Mumbai 400 085 , India.,Homi Bhabha National Institute , Mumbai 400094 , India
| | - Tusar Bandyopadhyay
- Theoretical Chemistry Section , Bhabha Atomic Research Centre , Mumbai 400 085 , India.,Homi Bhabha National Institute , Mumbai 400094 , India
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Nilsson L. Molecular Dynamics and NMR Shed Light on Motions Underpinning Dynamical Transitions in Biomolecules. Biophys J 2016; 108:2755-6. [PMID: 26083911 DOI: 10.1016/j.bpj.2015.05.007] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/06/2015] [Accepted: 05/12/2015] [Indexed: 10/23/2022] Open
Affiliation(s)
- Lennart Nilsson
- Department of Biosciences and Nutrition, Karolinska Institutet, Huddinge, Sweden.
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