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Self-assembly at submicroscopic scales is an important but little understood phenomenon. A prominent example is virus capsid growth, whose underlying behavior can be modeled using simple particles that assemble into polyhedral shells.…

Soft Condensed Matter · Physics 2008-10-28 D. C. Rapaport

We explore the use of a top-down approach to analyse the dynamics of icosahedral virus capsids and complement the information obtained from bottom-up studies of viral vibrations available in the literature. A normal mode analysis based on…

Biomolecules · Quantitative Biology 2013-04-09 Kasper Peeters , Anne Taormina

A simple model is proposed aimed to investigate how the amount of dissociated ions influences the mechanical stability of viral capsids. After an osmotic and mechanical equilibrium is established with the outer solution, a non-adiabatic…

Soft Condensed Matter · Physics 2024-09-30 Felipe B. M. Aguiar , Thiago Colla

I present a review of the theoretical and computational methodologies that have been used to model the assembly of viral capsids. I discuss the capabilities and limitations of approaches ranging from equilibrium continuum theories to…

Biomolecules · Quantitative Biology 2013-01-09 Michael F. Hagan

The dense packing of interacting particles on spheres has proved to be a useful model for virus capsids and colloidosomes. Indeed, icosahedral symmetry observed in virus capsids corresponds to potential energy minima that occur for magic…

Soft Condensed Matter · Physics 2017-03-03 Stefan Paquay , Halim Kusumaatmaja , David J. Wales , Roya Zandi , Paul van der Schoot

The protein shells, or capsids, of all sphere-like viruses adopt icosahedral symmetry. In the present paper we propose a statistical thermodynamic model for viral self-assembly. We find that icosahedral symmetry is not expected for viral…

Soft Condensed Matter · Physics 2009-11-07 Robijn F. Bruinsma , William M. Gelbart , David Reguera , Joseph Rudnick , Roya Zandi

We study large deviation properties of systems of weakly interacting particles modeled by It\^{o} stochastic differential equations (SDEs). It is known under certain conditions that the corresponding sequence of empirical measures…

Probability · Mathematics 2012-09-26 Amarjit Budhiraja , Paul Dupuis , Markus Fischer

Many viruses rely on the self-assembly of their capsids to protect and transport their genomic material. For many viral systems, in particular for human viruses like hepatitis B, adeno or human immunodeficiency virus, that lead to…

Subcellular Processes · Quantitative Biology 2015-02-03 Marvin A. Boettcher , Heinrich C. R. Klein , Ulrich S. Schwarz

We use computer simulations to study a model, first proposed by Wales [1], for the reversible and monodisperse self-assembly of simple icosahedral virus capsid structures. The success and efficiency of assembly as a function of…

Biomolecules · Quantitative Biology 2010-02-24 Iain G. Johnston , Ard A. Louis , Jonathan P. K. Doye

Understanding how virus capsids assemble around their nucleic acid (NA) genomes could promote efforts to block viral propagation or to reengineer capsids for gene therapy applications. We develop a coarse-grained model of capsid proteins…

Biomolecules · Quantitative Biology 2014-05-15 Jason D. Perlmutter , Cong Qiao , Michael F. Hagan

While small single stranded viral shells encapsidate their genome spontaneously, many large viruses, such as the Herpes virus or Infectious Bursal Disease Virus (IBDV), typically require a template, consisting of either scaffolding proteins…

Biological Physics · Physics 2018-09-07 Siyu Li , Polly Roy , Alex Travesset , Roya Zandi

A vital constituent of a virus is its protein shell, called the viral capsid, that encapsulates and hence provides protection for the viral genome. Assembly models are developed for viral capsids built from protein building blocks that can…

Biomolecules · Quantitative Biology 2008-05-15 T. Keef , A. Taormina , R. Twarock

Cellular signaling networks have evolved to cope with intrinsic fluctuations, coming from the small numbers of constituents, and the environmental noise. Stochastic chemical kinetics equations govern the way biochemical networks process…

Quantitative Methods · Quantitative Biology 2009-11-13 Yueheng Lan , Peter G. Wolynes , Garegin A. Papoian

Simple RNA viruses self-assemble spontaneously and encapsulate their genome into a shell called the capsid. This process is mainly driven by the attractive electrostatic interaction between the positive charges on capsid proteins and the…

Biological Physics · Physics 2022-02-22 Sanaz Panahandeh , Siyu Li , Bogdan Dragnea , Roya Zandi

Viruses are nanoscale entities containing a nucleic acid genome encased in a protein shell called a capsid, and in some cases surrounded by a lipid bilayer membrane. This review summarizes the physics that govern the processes by which…

Biomolecules · Quantitative Biology 2015-05-20 Jason D Perlmutter , Michael F Hagan

We develop a comprehensive theoretical biophysics model grounded in a path integral perspective and an m-sectorial open-system framework, to describe complex, damped viral phonon dynamics in resource limited and noise driven environments.…

Biological Physics · Physics 2025-03-18 Lillian St. Kleess

Multiple dissipative self-assembly protocols designed to create novel structures or to reduce kinetic traps have recently emerged. Specifically, temporal oscillations of particle interactions have been shown effective at both aims, but…

Soft Condensed Matter · Physics 2024-10-25 Jessica K. Niblo , Jacob R. Swartley , Zhongmin Zhang , Kateri H. DuBay

A vital constituent of a virus is its protein shell, called the viral capsid, that encapsulates and hence provides protection for the viral genome. Viral capsids are usually spherical, and for a significant number of viruses exhibit overall…

Biomolecules · Quantitative Biology 2009-11-11 T. Keef , A. Taormina , R. Twarock

Capsids of many viruses assemble around nucleic acids or other polymers. Understanding how the properties of the packaged polymer affect the assembly process could promote biomedical efforts to prevent viral assembly or nanomaterials…

Biomolecules · Quantitative Biology 2015-05-18 Aleksandr Kivenson , Michael F. Hagan

Viruses display striking diversity in structure, transmission mode, immune interaction, and evolutionary behavior. Despite this diversity, viral strategies are not unconstrained. Here we present a unifying framework that treats viral…

Biological Physics · Physics 2025-12-30 Mohammad Rasoolinejad