Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling

Abstract Polymerising filaments generate force against an obstacle, as in, e.g., microtubule-kinetochore interactions in the eukaryotic cell. Earlier studies of this problem have not included explicit three-dimensional monomer diffusion, and consequently, missed out on two important aspects: (i) the...

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Autores principales:	Jemseena Valiyakath, Manoj Gopalakrishnan
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/996c03ba6ef94b39bc5e5a31b464502f
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spelling	oai:doaj.org-article:996c03ba6ef94b39bc5e5a31b464502f2021-12-02T15:08:57ZPolymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling10.1038/s41598-018-20259-72045-2322https://doaj.org/article/996c03ba6ef94b39bc5e5a31b464502f2018-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-20259-7https://doaj.org/toc/2045-2322Abstract Polymerising filaments generate force against an obstacle, as in, e.g., microtubule-kinetochore interactions in the eukaryotic cell. Earlier studies of this problem have not included explicit three-dimensional monomer diffusion, and consequently, missed out on two important aspects: (i) the barrier, even when it is far from the polymers, affects free diffusion of monomers and reduces their adsorption at the tips, while (ii) parallel filaments could interact through the monomer density field (“diffusive coupling”), leading to negative interference between them. In our study, both these effects are included and their consequences investigated in detail. A mathematical treatment based on a set of continuum Fokker-Planck equations for combined filament-wall dynamics suggests that the barrier-induced monomer depletion reduces the growth velocity and also the stall force, while the total force produced by many filaments remains additive. However, Brownian dynamics simulations show that the linear force-number scaling holds only when the filaments are far apart; when they are arranged close together, forming a bundle, sublinear scaling of force with number appears, which could be attributed to diffusive interaction between the growing polymer tips.Jemseena ValiyakathManoj GopalakrishnanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-13 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jemseena Valiyakath Manoj Gopalakrishnan Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling
description	Abstract Polymerising filaments generate force against an obstacle, as in, e.g., microtubule-kinetochore interactions in the eukaryotic cell. Earlier studies of this problem have not included explicit three-dimensional monomer diffusion, and consequently, missed out on two important aspects: (i) the barrier, even when it is far from the polymers, affects free diffusion of monomers and reduces their adsorption at the tips, while (ii) parallel filaments could interact through the monomer density field (“diffusive coupling”), leading to negative interference between them. In our study, both these effects are included and their consequences investigated in detail. A mathematical treatment based on a set of continuum Fokker-Planck equations for combined filament-wall dynamics suggests that the barrier-induced monomer depletion reduces the growth velocity and also the stall force, while the total force produced by many filaments remains additive. However, Brownian dynamics simulations show that the linear force-number scaling holds only when the filaments are far apart; when they are arranged close together, forming a bundle, sublinear scaling of force with number appears, which could be attributed to diffusive interaction between the growing polymer tips.
format	article
author	Jemseena Valiyakath Manoj Gopalakrishnan
author_facet	Jemseena Valiyakath Manoj Gopalakrishnan
author_sort	Jemseena Valiyakath
title	Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling
title_short	Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling
title_full	Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling
title_fullStr	Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling
title_full_unstemmed	Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling
title_sort	polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/996c03ba6ef94b39bc5e5a31b464502f
work_keys_str_mv	AT jemseenavaliyakath polymerisationforceofarigidfilamentbundlediffusiveinteractionleadstosublinearforcenumberscaling AT manojgopalakrishnan polymerisationforceofarigidfilamentbundlediffusiveinteractionleadstosublinearforcenumberscaling
_version_	1718387954393546752

Polymerisation force of a rigid filament bundle: diffusive interaction leads to sublinear force-number scaling

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