{"id":16829,"date":"2026-06-16T13:35:29","date_gmt":"2026-06-16T18:35:29","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=16829"},"modified":"2026-06-16T13:35:29","modified_gmt":"2026-06-16T18:35:29","slug":"phd-dissertation-defense-mr-liam-jemison","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/phd-dissertation-defense-mr-liam-jemison\/","title":{"rendered":"PhD Dissertation Defense: Mr. Liam Jemison"},"content":{"rendered":"

A Nonlocal Size Modified Poisson-Boltzmann Ion Channel Model and Parallel Finite Element Solver<\/h1>\n

Mr. Liam Jemison
\nGraduate Student<\/em>
\nUniversity of Wisconsin-Milwaukee<\/p>\n

We introduce the first nonlocal Poisson\u2013-Boltzmann Ion Channel (NPBIC) model and corresponding finite element solver for three-dimensional ion channel\u2013membrane systems in solvents with multiple ionic species. Although the NPBIC model presents numerical challenges caused by strong nonlinearities, nonlocal convolution terms, discontinuous interface conditions, and solution singularities induced by atomic point charges, we develop a novel decomposition technique for solving the model. We present a parallel NPBIC finite element solver package, and a host of numerical experiments and validation.<\/p>\n

Advisor:
\nDexuan Xie<\/p>\n

Committee Members:
\nIstvan Lauko, Gabriella Pinter, Lei Wang, and Peter Hinow<\/p>\n","protected":false},"excerpt":{"rendered":"

A Nonlocal Size Modified Poisson-Boltzmann Ion Channel Model and Parallel Finite Element Solver Mr. Liam Jemison Graduate Student University of Wisconsin-Milwaukee We introduce the first nonlocal Poisson\u2013-Boltzmann Ion Channel (NPBIC) model and corresponding finite element solver for three-dimensional ion channel\u2013membrane …<\/p>\n","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[180,181],"tribe_events_cat":[64],"class_list":["post-16829","tribe_events","type-tribe_events","status-publish","hentry","tag-dissertation-defense","tag-phd","tribe_events_cat-graduate-student-defenses","cat_graduate-student-defenses"],"yoast_head":"\nMathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/phd-dissertation-defense-mr-liam-jemison\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PhD Dissertation Defense: Mr. Liam Jemison\" \/>\n<meta property=\"og:description\" content=\"A Nonlocal Size Modified Poisson-Boltzmann Ion Channel Model and Parallel Finite Element Solver Mr. Liam Jemison Graduate Student University of Wisconsin-Milwaukee We introduce the first nonlocal Poisson\u2013-Boltzmann Ion Channel (NPBIC) model and corresponding finite element solver for three-dimensional ion channel\u2013membrane …\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/math\/event\/phd-dissertation-defense-mr-liam-jemison\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematical Sciences\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/phd-dissertation-defense-mr-liam-jemison\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/phd-dissertation-defense-mr-liam-jemison\\\/\",\"name\":\"PhD Dissertation Defense: Mr. Liam Jemison - 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