{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/124127"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/124127","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"One-dimensional coupled ODE-PDE models for fungal growth","abstract":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms","abstract_html":"Submission original under an indefinite embargo labeled 'Open Access'. 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The submission was exported from vireo on 2024-09-16 without embargo terms","The student, Aditya Bhartia, accepted the attached license on 2023-12-08 at 11:55.","The student, Aditya Bhartia, submitted this Thesis for approval on 2023-12-08 at 12:14.","This Thesis was approved for publication on 2023-12-08 at 15:15.","DSpace SAF Submission Ingestion Package generated from Vireo submission #20181 on 2024-09-16 at 00:32:56","This research thesis is a study of the growth of a family of fungal colonies, based on the growth of the fungal hyphae and tips, branching type, anastomosis type, and death of the hyphae and tips. The research model has been adapted from the reference paper by Dr. Leah Edelstein. We decided to incorporate hyphal death in our analytical calculations, analyze the model using different methods, and compare the observations with the results produced in the original paper. It would give us a more realistic understanding of the system’s feasibility in actually representing a fungal colony. For analyzing the system, we have used the method of nullclines, linear stability analysis, and computer simulations. We found that the results produced in the absence of hyphal death are very close and similar to the results produced when they are ignored."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["One-dimensional coupled ODE-PDE models for fungal growth"]}]}],"canonical_facts":{"dc:contributor":["Rapti, Zoi"],"dc:creator":["Bhartia, Aditya"],"dc:date":["2024-05","2023-12-08"],"dc:description":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms","The student, Aditya Bhartia, accepted the attached license on 2023-12-08 at 11:55.","The student, Aditya Bhartia, submitted this Thesis for approval on 2023-12-08 at 12:14.","This Thesis was approved for publication on 2023-12-08 at 15:15.","DSpace SAF Submission Ingestion Package generated from Vireo submission #20181 on 2024-09-16 at 00:32:56","This research thesis is a study of the growth of a family of fungal colonies, based on the growth of the fungal hyphae and tips, branching type, anastomosis type, and death of the hyphae and tips. The research model has been adapted from the reference paper by Dr. Leah Edelstein. We decided to incorporate hyphal death in our analytical calculations, analyze the model using different methods, and compare the observations with the results produced in the original paper. It would give us a more realistic understanding of the system’s feasibility in actually representing a fungal colony. For analyzing the system, we have used the method of nullclines, linear stability analysis, and computer simulations. We found that the results produced in the absence of hyphal death are very close and similar to the results produced when they are ignored."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/124127"],"dc:language":["en","eng"],"dc:rights":["Copyright 2024 Aditya Bhartia"],"dc:subject":["Fungi","Ode-pde","Transport Equation","Traveling Wave Solution","Edelstein","Analysis","Matlab","Death","Growth","Hyphae","Tip"],"dc:title":["One-dimensional coupled ODE-PDE models for fungal growth"],"dc:type":["text"],"thesis:degree_discipline":["Applied Mathematics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:00Z"}