A model for chemotaxis with hard-core interactions

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dc.contributor.advisor Taylor, S en
dc.contributor.author Ralph, Tertius en
dc.date.accessioned 2019-10-03T22:55:49Z en
dc.date.issued 2018 en
dc.identifier.uri http://hdl.handle.net/2292/48367 en
dc.description.abstract Group-level behaviour of particles undergoing a velocity-jump process with hard-core interactions is investigated. We look at excluded-volume effects in the context of bacterial or cell chemotaxis. We study the effect that external stimuli can have on particles moving in a crowded environment. Here, the diffusion of finite-sized hard-core interacting particles is considered systematically using the method of matched asymptotic expansions. We will use the Langevin approach to diffusion where stochastic increments are applied to the velocity rather than to the space variable. The result is a nonlinear partial differential equation for the one-particle probability density function taking into account crowding effects. Stochastic simulations are used for a comparison with the analytic/numerical solutions derived. The analytic/numerical solutions compare well with stochastic simulations provided the excluded-volume fraction is small. en
dc.publisher ResearchSpace@Auckland en
dc.relation.ispartof PhD Thesis - University of Auckland en
dc.relation.isreferencedby UoA99265184012002091 en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/nz/ en
dc.title A model for chemotaxis with hard-core interactions en
dc.type Thesis en
thesis.degree.discipline Mathematics en
thesis.degree.grantor The University of Auckland en
thesis.degree.level Doctoral en
thesis.degree.name PhD en
dc.rights.holder Copyright: The author en
dc.rights.accessrights http://purl.org/eprint/accessRights/OpenAccess en
pubs.elements-id 783442 en
pubs.org-id Science en
pubs.org-id Mathematics en
pubs.record-created-at-source-date 2019-10-04 en

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http://creativecommons.org/licenses/by-nc-sa/3.0/nz/ Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-sa/3.0/nz/


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