1
|
Nonn A, Kiss B, Pezeshkian W, Tancogne-Dejean T, Cerrone A, Kellermayer M, Bai Y, Li W, Wierzbicki T. Inferring mechanical properties of the SARS-CoV-2 virus particle with nano-indentation tests and numerical simulations. J Mech Behav Biomed Mater 2023; 148:106153. [PMID: 37865016 DOI: 10.1016/j.jmbbm.2023.106153] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2023] [Revised: 09/14/2023] [Accepted: 09/27/2023] [Indexed: 10/23/2023]
Abstract
The pandemic caused by the SARS-CoV-2 virus has claimed more than 6.5 million lives worldwide. This global challenge has led to accelerated development of highly effective vaccines tied to their ability to elicit a sustained immune response. While numerous studies have focused primarily on the spike (S) protein, less is known about the interior of the virus. Here we propose a methodology that combines several experimental and simulation techniques to elucidate the internal structure and mechanical properties of the SARS-CoV-2 virus. The mechanical response of the virus was analyzed by nanoindentation tests using a novel flat indenter and evaluated in comparison to a conventional sharp tip indentation. The elastic properties of the viral membrane were estimated by analytical solutions, molecular dynamics (MD) simulations on a membrane patch and by a 3D Finite Element (FE)-beam model of the virion's spike protein and membrane molecular structure. The FE-based inverse engineering approach provided a reasonable reproduction of the mechanical response of the virus from the sharp tip indentation and was successfully verified against the flat tip indentation results. The elastic modulus of the viral membrane was estimated in the range of 7-20 MPa. MD simulations showed that the presence of proteins significantly reduces the fracture strength of the membrane patch. However, FE simulations revealed an overall high fracture strength of the virus, with a mechanical behavior similar to the highly ductile behavior of engineering metallic materials. The failure mechanics of the membrane during sharp tip indentation includes progressive damage combined with localized collapse of the membrane due to severe bending. Furthermore, the results support the hypothesis of a close association of the long membrane proteins (M) with membrane-bound hexagonally packed ribonucleoproteins (RNPs). Beyond improved understanding of coronavirus structure, the present findings offer a knowledge base for the development of novel prevention and treatment methods that are independent of the immune system.
Collapse
Affiliation(s)
- Aida Nonn
- CMM Lab, Faculty of Mechanical Engineering, OTH Regensburg, 93053, Regensburg, Germany.
| | - Bálint Kiss
- Department of Biophysics and Radiation Biology, Semmelweis University, Budapest, H-1094, Hungary; ELKH-SE Biophysical Virology Research Group, Budapest, H-1094, Hungary
| | - Weria Pezeshkian
- Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100, Copenhagen, Denmark
| | | | - Albert Cerrone
- Computational Hydraulics Laboratory, University of Notre Dame, Notre Dame, IN, 46556, USA
| | - Miklos Kellermayer
- Department of Biophysics and Radiation Biology, Semmelweis University, Budapest, H-1094, Hungary; ELKH-SE Biophysical Virology Research Group, Budapest, H-1094, Hungary
| | - Yuanli Bai
- Department of Mechanical and Aerospace of Engineering, University of Central Florida, 4000 Central Florida Blvd., Orlando, FL, 32816, USA
| | - Wei Li
- Impact and Crashworthiness Lab, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Tomasz Wierzbicki
- Impact and Crashworthiness Lab, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| |
Collapse
|
2
|
Dastjerdi S, Akgöz B, Civalek Ö. Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures. MATERIALS (BASEL, SWITZERLAND) 2022; 15:8425. [PMID: 36499921 PMCID: PMC9738280 DOI: 10.3390/ma15238425] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/12/2022] [Revised: 11/18/2022] [Accepted: 11/23/2022] [Indexed: 06/17/2023]
Abstract
In this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin-Voigt scheme is employed to obtain the structure's large deformation under uniform transverse loading. The constitutive equations were extracted using the energy method. The derived partial differential time-dependent equations have been solved via the semi-analytical polynomial method (SAPM). The obtained results have been validated by ABAQUS software and the available paper. In consequence, a good agreement between the results was observed. Finally, several affecting parameters on the analysis have been attended to and studied, such as the nonlinear elasticity analysis, the boundary conditions, loading, and the material's viscosity. It can be possible to obtain the needed time for achieving the final deformation of the structure based on the applied analysis in this research.
Collapse
Affiliation(s)
- Shahriar Dastjerdi
- Division of Mechanics, Civil Engineering Department, Akdeniz University, Antalya 07070, Turkey
| | - Bekir Akgöz
- Division of Mechanics, Civil Engineering Department, Akdeniz University, Antalya 07070, Turkey
| | - Ömer Civalek
- Division of Mechanics, Civil Engineering Department, Akdeniz University, Antalya 07070, Turkey
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404, Taiwan
| |
Collapse
|
3
|
Warsame C, Valerini D, Llavori I, Barber AH, Goel S. Modal analysis of novel coronavirus (SARS COV-2) using finite element methodology. J Mech Behav Biomed Mater 2022; 135:105406. [PMID: 36075162 PMCID: PMC9391233 DOI: 10.1016/j.jmbbm.2022.105406] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2022] [Revised: 07/11/2022] [Accepted: 07/26/2022] [Indexed: 11/28/2022]
Abstract
Many new engineering and scientific innovations have been proposed to date to passivate the novel coronavirus (SARS CoV-2), with the aim of curing the related disease that is now recognised as COVID-19. Currently, vaccine development remains the most reliable solution available. Efforts to provide solutions as alternatives to vaccinations are growing and include established control of behaviours such as self-isolation, social distancing, employing facial masks and use of antimicrobial surfaces. The work here proposes a novel engineering method employing the concept of resonant frequencies to denature SARS CoV-2. Specifically, “modal analysis” is used to computationally analyse the Eigenvalues and Eigenvectors i.e. frequencies and mode shapes to denature COVID-19. An average virion dimension of 63 nm with spike proteins number 6, 7 and 8 were examined, which revealed a natural frequency of a single virus in the range of 88–125 MHz. The information derived about the natural frequency of the virus through this study will open newer ways to exploit medical solutions to combat future pandemics.
Collapse
|
4
|
Kolel-Veetil MK, Kant A, Shenoy VB, Buehler MJ. SARS-CoV-2 Infection-Of Music and Mechanics of Its Spikes! A Perspective. ACS NANO 2022; 16:6949-6955. [PMID: 35512182 PMCID: PMC9092193 DOI: 10.1021/acsnano.1c11491] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/31/2021] [Accepted: 04/26/2022] [Indexed: 05/11/2023]
Abstract
The COVID-19 pandemic has been inflicted upon humanity by the SARS-CoV-2 virus, the latest insidious incarnation of the coronaviruses group. While in its wake intense scientific research has produced breakthrough vaccines and cures, there still exists an immediate need to further understand the origin, mechanobiology and biochemistry, and destiny of this virus so that future pandemics arising from similar coronaviruses may be contained more effectively. In this Perspective, we discuss the various evidential findings of virus propagation and connect them to respective underpinning cellular biomechanical states leading to corresponding manifestations of the viral activity. We further propose avenues to tackle the virus, including from a "musical" vantage point, and contain its relentless strides that are currently afflicting the global populace.
Collapse
Affiliation(s)
- Manoj K. Kolel-Veetil
- Chemistry Division, Naval Research
Laboratory, Washington, D.C. 20375, United States
| | - Aayush Kant
- NSF Science and Technology Center for Engineering
Mechanobiology, University of Pennsylvania, Philadelphia,
Pennsylvania 19104, United States
| | - Vivek B. Shenoy
- NSF Science and Technology Center for Engineering
Mechanobiology, University of Pennsylvania, Philadelphia,
Pennsylvania 19104, United States
| | - Markus J. Buehler
- Laboratory for Atomistic and Molecular Mechanics (LAMM),
Massachusetts Institute of Technology, Cambridge,
Massachusetts 02139, United States
| |
Collapse
|