Hydrodynamic interaction and complex viscosity of multi-bead rods

Kanso, M. A.; Pak, Myong Chol; Kim, Kwang-Il; Coombs, S. J.; Giacomin, A. Jeffrey

doi:10.1063/5.0087737

Cited by 13 publications

(1 citation statement)

References 27 publications

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“…(23) and (24) of Ref. 12 ]

and

where the tildes signify with hydrodynamic interaction, namely, where

0

. 10,12 The best way to get

is to fit Eq.…”

Section: Introductionmentioning

confidence: 99%

Coronavirus peplomer interaction

Pak¹,

Chakraborty

Kanso

et al. 2022

Physics of Fluids

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By virtue of their lack of motility, viruses rely entirely on their own temperature (Brownian motion) to position themselves properly for cell attachment. Spiked viruses use one or more spikes (called peplomers) to attach. The coronavirus uses adjacent peplomer pairs. These peplomers, identically charged, repel one another over the surface of their convex capsids to form beautiful polyhedra. We identify the edges of these polyhedra with the most important peplomer hydrodynamic interactions. These convex capsids may be spherical or not, and their peplomer population declines with infection time. These peplomers are short, equidimensional, and bulbous, with triangular bulbs. In this short paper, we explore the interactions between nearby peplomer bulbs. By interactions, we mean the hydrodynamic interferences between the velocity profiles caused by the drag of the suspending fluid when the virus rotates. We find that these peplomer hydrodynamic interactions raise rotational diffusivity of the virus, and thus affect its ability to infect.

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“…(23) and (24) of Ref. 12 ]

and

where the tildes signify with hydrodynamic interaction, namely, where

0

. 10,12 The best way to get

is to fit Eq.…”

Section: Introductionmentioning

confidence: 99%

Coronavirus peplomer interaction

Pak¹,

Chakraborty

Kanso

et al. 2022

Physics of Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

Coronavirus pleomorphism

et al. 2022

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The coronavirus is always idealized as a spherical capsid with radially protruding spikes. However, histologically, in the tissues of infected patients, capsids in cross section are elliptical, and only sometimes spherical [B.W. Neuman, J Virol, 80, 7918 (2006)]. This capsid ellipticity implies that coronaviruses are oblate or prolate or both. We call this diversity of shapes, pleomorphism. Recently, the rotational diffusivity of the spherical coronavirus in suspension was calculated, from first principles, using general rigid bead-rod theory [M.A. Kanso, Phys Fluids, 32, 113101 (2020)]. We did so by beading the spherical capsid, and then also by replacing each of its bulbous spikes with a single bead. In this paper, we use energy minimization for the spreading of the spikes, charged identically, over the oblate or prolate capsids. We use general rigid bead-rod theory to explore the role of such coronavirus cross-sectional ellipticity on its rotational diffusivity, the transport property around which its cell attachment revolves. We learn that coronavirus ellipticity drastically decreases its rotational diffusivity, be it oblate or prolate.

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Hydrodynamic interaction within canonical macromolecular structures

Kanso

Pak²,

Chakraborty

et al. 2022

Physics of Fluids

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In general rigid bead-rod theory, we deduce the rheological properties of a suspension of macromolecules from the orientation distribution that arises during flow. The most important feature governing this orientation is macromolecular architecture, and right behind this, enters hydrodynamic interaction. Till recently, general rigid bead-rod theory has neglected hydrodynamic interactions, namely the interferences of Stokes flow velocity profiles between nearby beads. The lopsidedness of the architecture affects orientability, and so do these heretofore unexplored interferences within the macromolecule. We here employ a new method for exploring how such hydrodynamic interactions affect the complex viscosity. This method has, with great effort, been used to examine hydrodynamic interactions in complex architectures, namely, multi-bead rods and backbone-branched polymers. However, has yet to be applied to canonical forms. In this paper, we focus on the simplest of architectures: (i) rigid dumbbell, (ii) tridumbbell, (iii) rigid rings and (iv) planar stars. We call these forms canonical. We arrive at beautiful algebraic expressions for the complex viscosity for each canonical form. We find that for the dimensionless complex viscosity, for all canonical forms, hydrodynamic interactions just depend on the ratio of the bead diameter, to the nearest bead separation.

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Hydrodynamic interaction and complex viscosity of multi-bead rods

Cited by 13 publications

References 27 publications

Coronavirus peplomer interaction

Coronavirus peplomer interaction

Coronavirus pleomorphism

Hydrodynamic interaction within canonical macromolecular structures

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