Quantitative analysis of hepatitis C NS5A viral protein dynamics on the ER surface

Markus M. Knodel; Arne Nägel; Sebastian Reiter; Andreas Vogel; Paul Targett-Adams; John McLauchlan; Eva Herrmann; Gabriel Wittum

doi:10.3390/v10010028

Quantitative analysis of hepatitis C NS5A viral protein dynamics on the ER surface

Markus M. Knodel^*, Arne Nägel, Sebastian Reiter, Andreas Vogel, Paul Targett-Adams, John McLauchlan, Eva Herrmann, Gabriel Wittum

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Exploring biophysical properties of virus-encoded components and their requirement for virus replication is an exciting new area of interdisciplinary virological research. To date, spatial resolution has only rarely been analyzed in computational/biophysical descriptions of virus replication dynamics. However, it is widely acknowledged that intracellular spatial dependence is a crucial component of virus life cycles. The hepatitis C virus-encoded NS5A protein is an endoplasmatic reticulum (ER)-anchored viral protein and an essential component of the virus replication machinery. Therefore, we simulate NS5A dynamics on realistic reconstructed, curved ER surfaces by means of surface partial differential equations (sPDE) upon unstructured grids. We match the in silico NS5A diffusion constant such that the NS5A sPDE simulation data reproduce experimental NS5A fluorescence recovery after photobleaching (FRAP) time series data. This parameter estimation yields the NS5A diffusion constant. Such parameters are needed for spatial models of HCV dynamics, which we are developing in parallel but remain qualitative at this stage. Thus, our present study likely provides the first quantitative biophysical description of the movement of a viral component. Our spatio-temporal resolved ansatz paves new ways for understanding intricate spatial-defined processes central to specfic aspects of virus life cycles.

Original language	English (US)
Article number	28
Journal	Viruses
Volume	10
Issue number	1
DOIs	https://doi.org/10.3390/v10010028
State	Published - Jan 8 2018

Bibliographical note

Funding Information:
Acknowledgments: We thank Konstantinos Xylouris (G-CSC) for very fruitful discussions on the evaluation of the simulation results, Martin Rupp (G-CSC) for very friendly technical support with respect to the implementation of the solvers, Ranjita Dutta-Roy (Karolinska Institute, Stockholm, Sweden) for profound explanations of FRAP experimental setup and data analysis, Stefan Groote (University of Tartu, Estonia) for proof reading the manuscript and very helpful hints, Tobias Denninger (Heidelberg, Germany) for very stimulating discussions about spatial resolution within computational biophysics, Alfio Grillo (Politecnico di Torino, Italy) and Jürgen Vollmer (MPI Göttingen, Germany) for very stimulating discussions about the subject, and Wouter van Beerendonk (Huygens SVI, Netherlands) for his very friendly support in Huygens usage, backgrounds, and licensing. The HLRS Stuttgart is acknowledged for the supplied computing time on the Hermit and Hornet super computers [90], and Michael Lampe for very friendly technical support on the G-CSC cesari cluster. The authors acknowledge the Goethe Universität Frankfurt for general support and computational resources and the Politecnico di Torino for general support. This work has been supported in part by the “Fondazione Cassa di Risparmio di Torino” (Italy), through the “La Ricerca dei Talenti” (HR Excellence in Research) programme. The Authors wish to express their sincere thanks to the anonymous Referees for their thorough and critical reviews of our work.

Funding Information:
We thank Konstantinos Xylouris (G-CSC) for very fruitful discussions on the evaluation of the simulation results, Martin Rupp (G-CSC) for very friendly technical support with respect to the implementation of the solvers, Ranjita Dutta-Roy (Karolinska Institute, Stockholm, Sweden) for profound explanations of FRAP experimental setup and data analysis, Stefan Groote (University of Tartu, Estonia) for proof reading the manuscript and very helpful hints, Tobias Denninger (Heidelberg, Germany) for very stimulating discussions about spatial resolution within computational biophysics, Alfio Grillo (Politecnico di Torino, Italy) and Jürgen Vollmer (MPI Göttingen, Germany) for very stimulating discussions about the subject, andWouter van Beerendonk (Huygens SVI, Netherlands) for his very friendly support in Huygens usage, backgrounds, and licensing. The HLRS Stuttgart is acknowledged for the supplied computing time on the Hermit and Hornet super computers [90], and Michael Lampe for very friendly technical support on the G-CSC cesari cluster. The authors acknowledge the Goethe Universität Frankfurt for general support and computational resources and the Politecnico di Torino for general support. This work has been supported in part by the “Fondazione Cassa di Risparmio di Torino” (Italy), through the “La Ricerca dei Talenti” (HR Excellence in Research) programme. The Authors wish to express their sincere thanks to the anonymous Referees for their thorough and critical reviews of our work.

Publisher Copyright:
© 2018 by the authors. Licensee MDPI, Basel, Switzerland.

Keywords

(Surface) partial differential equations
3D spatio-temporal resolved mathematical models
Computational virology
Finite volumes
Hepatitis C virus (HCV)
Massively parallel multigrid solvers
Parameter estimation
Realistic geometries
Viral dynamics
Within-host viral modelling

ASJC Scopus subject areas

Infectious Diseases
Virology

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.3390/v10010028

Cite this

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title = "Quantitative analysis of hepatitis C NS5A viral protein dynamics on the ER surface",

abstract = "Exploring biophysical properties of virus-encoded components and their requirement for virus replication is an exciting new area of interdisciplinary virological research. To date, spatial resolution has only rarely been analyzed in computational/biophysical descriptions of virus replication dynamics. However, it is widely acknowledged that intracellular spatial dependence is a crucial component of virus life cycles. The hepatitis C virus-encoded NS5A protein is an endoplasmatic reticulum (ER)-anchored viral protein and an essential component of the virus replication machinery. Therefore, we simulate NS5A dynamics on realistic reconstructed, curved ER surfaces by means of surface partial differential equations (sPDE) upon unstructured grids. We match the in silico NS5A diffusion constant such that the NS5A sPDE simulation data reproduce experimental NS5A fluorescence recovery after photobleaching (FRAP) time series data. This parameter estimation yields the NS5A diffusion constant. Such parameters are needed for spatial models of HCV dynamics, which we are developing in parallel but remain qualitative at this stage. Thus, our present study likely provides the first quantitative biophysical description of the movement of a viral component. Our spatio-temporal resolved ansatz paves new ways for understanding intricate spatial-defined processes central to specfic aspects of virus life cycles.",

keywords = "(Surface) partial differential equations, 3D spatio-temporal resolved mathematical models, Computational virology, Finite volumes, Hepatitis C virus (HCV), Massively parallel multigrid solvers, Parameter estimation, Realistic geometries, Viral dynamics, Within-host viral modelling",

author = "Knodel, {Markus M.} and Arne N{\"a}gel and Sebastian Reiter and Andreas Vogel and Paul Targett-Adams and John McLauchlan and Eva Herrmann and Gabriel Wittum",

note = "Funding Information: Acknowledgments: We thank Konstantinos Xylouris (G-CSC) for very fruitful discussions on the evaluation of the simulation results, Martin Rupp (G-CSC) for very friendly technical support with respect to the implementation of the solvers, Ranjita Dutta-Roy (Karolinska Institute, Stockholm, Sweden) for profound explanations of FRAP experimental setup and data analysis, Stefan Groote (University of Tartu, Estonia) for proof reading the manuscript and very helpful hints, Tobias Denninger (Heidelberg, Germany) for very stimulating discussions about spatial resolution within computational biophysics, Alfio Grillo (Politecnico di Torino, Italy) and J{\"u}rgen Vollmer (MPI G{\"o}ttingen, Germany) for very stimulating discussions about the subject, and Wouter van Beerendonk (Huygens SVI, Netherlands) for his very friendly support in Huygens usage, backgrounds, and licensing. The HLRS Stuttgart is acknowledged for the supplied computing time on the Hermit and Hornet super computers [90], and Michael Lampe for very friendly technical support on the G-CSC cesari cluster. The authors acknowledge the Goethe Universit{\"a}t Frankfurt for general support and computational resources and the Politecnico di Torino for general support. This work has been supported in part by the “Fondazione Cassa di Risparmio di Torino” (Italy), through the “La Ricerca dei Talenti” (HR Excellence in Research) programme. The Authors wish to express their sincere thanks to the anonymous Referees for their thorough and critical reviews of our work. Funding Information: We thank Konstantinos Xylouris (G-CSC) for very fruitful discussions on the evaluation of the simulation results, Martin Rupp (G-CSC) for very friendly technical support with respect to the implementation of the solvers, Ranjita Dutta-Roy (Karolinska Institute, Stockholm, Sweden) for profound explanations of FRAP experimental setup and data analysis, Stefan Groote (University of Tartu, Estonia) for proof reading the manuscript and very helpful hints, Tobias Denninger (Heidelberg, Germany) for very stimulating discussions about spatial resolution within computational biophysics, Alfio Grillo (Politecnico di Torino, Italy) and J{\"u}rgen Vollmer (MPI G{\"o}ttingen, Germany) for very stimulating discussions about the subject, andWouter van Beerendonk (Huygens SVI, Netherlands) for his very friendly support in Huygens usage, backgrounds, and licensing. The HLRS Stuttgart is acknowledged for the supplied computing time on the Hermit and Hornet super computers [90], and Michael Lampe for very friendly technical support on the G-CSC cesari cluster. The authors acknowledge the Goethe Universit{\"a}t Frankfurt for general support and computational resources and the Politecnico di Torino for general support. This work has been supported in part by the “Fondazione Cassa di Risparmio di Torino” (Italy), through the “La Ricerca dei Talenti” (HR Excellence in Research) programme. The Authors wish to express their sincere thanks to the anonymous Referees for their thorough and critical reviews of our work. Publisher Copyright: {\textcopyright} 2018 by the authors. Licensee MDPI, Basel, Switzerland.",

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doi = "10.3390/v10010028",

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T1 - Quantitative analysis of hepatitis C NS5A viral protein dynamics on the ER surface

AU - Knodel, Markus M.

AU - Nägel, Arne

AU - Reiter, Sebastian

AU - Vogel, Andreas

AU - Targett-Adams, Paul

AU - McLauchlan, John

AU - Herrmann, Eva

AU - Wittum, Gabriel

N1 - Funding Information: Acknowledgments: We thank Konstantinos Xylouris (G-CSC) for very fruitful discussions on the evaluation of the simulation results, Martin Rupp (G-CSC) for very friendly technical support with respect to the implementation of the solvers, Ranjita Dutta-Roy (Karolinska Institute, Stockholm, Sweden) for profound explanations of FRAP experimental setup and data analysis, Stefan Groote (University of Tartu, Estonia) for proof reading the manuscript and very helpful hints, Tobias Denninger (Heidelberg, Germany) for very stimulating discussions about spatial resolution within computational biophysics, Alfio Grillo (Politecnico di Torino, Italy) and Jürgen Vollmer (MPI Göttingen, Germany) for very stimulating discussions about the subject, and Wouter van Beerendonk (Huygens SVI, Netherlands) for his very friendly support in Huygens usage, backgrounds, and licensing. The HLRS Stuttgart is acknowledged for the supplied computing time on the Hermit and Hornet super computers [90], and Michael Lampe for very friendly technical support on the G-CSC cesari cluster. The authors acknowledge the Goethe Universität Frankfurt for general support and computational resources and the Politecnico di Torino for general support. This work has been supported in part by the “Fondazione Cassa di Risparmio di Torino” (Italy), through the “La Ricerca dei Talenti” (HR Excellence in Research) programme. The Authors wish to express their sincere thanks to the anonymous Referees for their thorough and critical reviews of our work. Funding Information: We thank Konstantinos Xylouris (G-CSC) for very fruitful discussions on the evaluation of the simulation results, Martin Rupp (G-CSC) for very friendly technical support with respect to the implementation of the solvers, Ranjita Dutta-Roy (Karolinska Institute, Stockholm, Sweden) for profound explanations of FRAP experimental setup and data analysis, Stefan Groote (University of Tartu, Estonia) for proof reading the manuscript and very helpful hints, Tobias Denninger (Heidelberg, Germany) for very stimulating discussions about spatial resolution within computational biophysics, Alfio Grillo (Politecnico di Torino, Italy) and Jürgen Vollmer (MPI Göttingen, Germany) for very stimulating discussions about the subject, andWouter van Beerendonk (Huygens SVI, Netherlands) for his very friendly support in Huygens usage, backgrounds, and licensing. The HLRS Stuttgart is acknowledged for the supplied computing time on the Hermit and Hornet super computers [90], and Michael Lampe for very friendly technical support on the G-CSC cesari cluster. The authors acknowledge the Goethe Universität Frankfurt for general support and computational resources and the Politecnico di Torino for general support. This work has been supported in part by the “Fondazione Cassa di Risparmio di Torino” (Italy), through the “La Ricerca dei Talenti” (HR Excellence in Research) programme. The Authors wish to express their sincere thanks to the anonymous Referees for their thorough and critical reviews of our work. Publisher Copyright: © 2018 by the authors. Licensee MDPI, Basel, Switzerland.

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N2 - Exploring biophysical properties of virus-encoded components and their requirement for virus replication is an exciting new area of interdisciplinary virological research. To date, spatial resolution has only rarely been analyzed in computational/biophysical descriptions of virus replication dynamics. However, it is widely acknowledged that intracellular spatial dependence is a crucial component of virus life cycles. The hepatitis C virus-encoded NS5A protein is an endoplasmatic reticulum (ER)-anchored viral protein and an essential component of the virus replication machinery. Therefore, we simulate NS5A dynamics on realistic reconstructed, curved ER surfaces by means of surface partial differential equations (sPDE) upon unstructured grids. We match the in silico NS5A diffusion constant such that the NS5A sPDE simulation data reproduce experimental NS5A fluorescence recovery after photobleaching (FRAP) time series data. This parameter estimation yields the NS5A diffusion constant. Such parameters are needed for spatial models of HCV dynamics, which we are developing in parallel but remain qualitative at this stage. Thus, our present study likely provides the first quantitative biophysical description of the movement of a viral component. Our spatio-temporal resolved ansatz paves new ways for understanding intricate spatial-defined processes central to specfic aspects of virus life cycles.

AB - Exploring biophysical properties of virus-encoded components and their requirement for virus replication is an exciting new area of interdisciplinary virological research. To date, spatial resolution has only rarely been analyzed in computational/biophysical descriptions of virus replication dynamics. However, it is widely acknowledged that intracellular spatial dependence is a crucial component of virus life cycles. The hepatitis C virus-encoded NS5A protein is an endoplasmatic reticulum (ER)-anchored viral protein and an essential component of the virus replication machinery. Therefore, we simulate NS5A dynamics on realistic reconstructed, curved ER surfaces by means of surface partial differential equations (sPDE) upon unstructured grids. We match the in silico NS5A diffusion constant such that the NS5A sPDE simulation data reproduce experimental NS5A fluorescence recovery after photobleaching (FRAP) time series data. This parameter estimation yields the NS5A diffusion constant. Such parameters are needed for spatial models of HCV dynamics, which we are developing in parallel but remain qualitative at this stage. Thus, our present study likely provides the first quantitative biophysical description of the movement of a viral component. Our spatio-temporal resolved ansatz paves new ways for understanding intricate spatial-defined processes central to specfic aspects of virus life cycles.

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KW - Parameter estimation

KW - Realistic geometries

KW - Viral dynamics

KW - Within-host viral modelling

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DO - 10.3390/v10010028

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SN - 1999-4915

VL - 10

JO - Viruses

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IS - 1

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ER -

Quantitative analysis of hepatitis C NS5A viral protein dynamics on the ER surface

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

UN SDGs

Access to Document

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