{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/71425"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/71425","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A Brownian Dynamics Analysis of Ion Movement in Membrane Channels","abstract":"The purpose of this thesis is to review and extend the theory of ion transport through membrane channel. A review of previous theory is presented which includes both Nernst-Planck and Eyring Rate theory approaches. The predictions and assumptions of the two theories are discussed and a unified derivation of both from a more fundamental stochastic theory is presented. That more fundamental stochastic theory is based on the Langevin equation. A simulation technique based on this equation is presented. The technique called Brownian dynamics is then used to study ion transport through membrane channels. Four cases are considered: (1) no ion-ion interaction, no channel structure; (2) no ion-ion interaction, channel structure present; (3) ion-ion interaction, no channel structure; (4) ion-ion interaction, channel structure present. A detailed discussion of the simulation is given with an indication of possible future improvements. The Brownian dynamic approach illustrates nicely the shortcomings of the Nernst-Planck and Eyring theory approaches.","abstract_html":"The purpose of this thesis is to review and extend the theory of ion transport through membrane channel. A review of previous theory is presented which includes both Nernst-Planck and Eyring Rate theory approaches. The predictions and assumptions of the two theories are discussed and a unified derivation of both from a more fundamental stochastic theory is presented. That more fundamental stochastic theory is based on the Langevin equation. A simulation technique based on this equation is presented. The technique called Brownian dynamics is then used to study ion transport through membrane channels. Four cases are considered: (1) no ion-ion interaction, no channel structure; (2) no ion-ion interaction, channel structure present; (3) ion-ion interaction, no channel structure; (4) ion-ion interaction, channel structure present. A detailed discussion of the simulation is given with an indication of possible future improvements. The Brownian dynamic approach illustrates nicely the shortcomings of the Nernst-Planck and Eyring theory approaches.","abstract_has_math":false,"creators":["Cooper, Kimbal Edward"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physiology","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-16T06:45:43Z","date_published":"2014-12-16T06:45:43Z","updated_at":"2026-07-22T22:26:04Z","subjects":["Biology, Animal Physiology"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8409899"],"render_values":[{"text":"(UMI)AAI8409899","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/71425","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Cooper, Kimbal Edward"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-16T06:45:43Z","10000-01-01","1983"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physiology"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Biology, Animal Physiology"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/71425","(UMI)AAI8409899"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The purpose of this thesis is to review and extend the theory of ion transport through membrane channel. A review of previous theory is presented which includes both Nernst-Planck and Eyring Rate theory approaches. The predictions and assumptions of the two theories are discussed and a unified derivation of both from a more fundamental stochastic theory is presented. That more fundamental stochastic theory is based on the Langevin equation. A simulation technique based on this equation is presented. The technique called Brownian dynamics is then used to study ion transport through membrane channels. Four cases are considered: (1) no ion-ion interaction, no channel structure; (2) no ion-ion interaction, channel structure present; (3) ion-ion interaction, no channel structure; (4) ion-ion interaction, channel structure present. A detailed discussion of the simulation is given with an indication of possible future improvements. The Brownian dynamic approach illustrates nicely the shortcomings of the Nernst-Planck and Eyring theory approaches.","Made available in DSpace on 2014-12-16T06:45:43Z (GMT). No. of bitstreams: 1 8409899.pdf: 3824878 bytes, checksum: 54f1cccfba80eb58d5ddc325eada2953 (MD5) Previous issue date: 1983","Embargo set by: Seth Robbins for item 71591 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","220 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1983."]},{"key":"dc:title","label":"Title","values":["A Brownian Dynamics Analysis of Ion Movement in Membrane Channels"]}]}],"canonical_facts":{"dc:creator":["Cooper, Kimbal Edward"],"dc:date":["2014-12-16T06:45:43Z","10000-01-01","1983"],"dc:description":["The purpose of this thesis is to review and extend the theory of ion transport through membrane channel. A review of previous theory is presented which includes both Nernst-Planck and Eyring Rate theory approaches. The predictions and assumptions of the two theories are discussed and a unified derivation of both from a more fundamental stochastic theory is presented. That more fundamental stochastic theory is based on the Langevin equation. A simulation technique based on this equation is presented. The technique called Brownian dynamics is then used to study ion transport through membrane channels. Four cases are considered: (1) no ion-ion interaction, no channel structure; (2) no ion-ion interaction, channel structure present; (3) ion-ion interaction, no channel structure; (4) ion-ion interaction, channel structure present. A detailed discussion of the simulation is given with an indication of possible future improvements. The Brownian dynamic approach illustrates nicely the shortcomings of the Nernst-Planck and Eyring theory approaches.","Made available in DSpace on 2014-12-16T06:45:43Z (GMT). No. of bitstreams: 1 8409899.pdf: 3824878 bytes, checksum: 54f1cccfba80eb58d5ddc325eada2953 (MD5) Previous issue date: 1983","Embargo set by: Seth Robbins for item 71591 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","220 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1983."],"dc:identifier":["http://hdl.handle.net/2142/71425","(UMI)AAI8409899"],"dc:subject":["Biology, Animal Physiology"],"dc:title":["A Brownian Dynamics Analysis of Ion Movement in Membrane Channels"],"dc:type":["text"],"thesis:degree_discipline":["Physiology"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:04Z"}