Optimization and exact solutions for biofilm model of bacterial communities
In this study, the optimization of the fixed point in function spaces and exact solutions to the biofilm model are studied to describe growth, and bacteria working together, including quorum sensing. Engineering applications that involve biotechnology, environmental engineering, and the creation of...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-03-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824000486 |
| _version_ | 1797302479109488640 |
|---|---|
| author | Muhammad Z. Baber Aly R. Seadawy Muhammad S. Iqbal Syed T.R. Rizvi |
| author_facet | Muhammad Z. Baber Aly R. Seadawy Muhammad S. Iqbal Syed T.R. Rizvi |
| author_sort | Muhammad Z. Baber |
| collection | DOAJ |
| description | In this study, the optimization of the fixed point in function spaces and exact solutions to the biofilm model are studied to describe growth, and bacteria working together, including quorum sensing. Engineering applications that involve biotechnology, environmental engineering, and the creation of medical devices are particularly pertinent to biofilm models that include quorum sensing processes. This model is applied to cellular processes such as cell growth in mathematical biology. The optimization of the solution is also discussed by using the Banach space in an optimal ball. The existence of a solution is shown by using the Schauder fixed point theorem. Diverse exact solutions are extracted in hyperbolic, trigonometric, and plane waveforms are archive by using two techniques such as modified extended direct algebraic (MEDA) and G′/G-expansion technique. Additionally, the 3D plots and their corresponding contour graphs are also drawn to show the physical behavior of the solutions. |
| first_indexed | 2024-03-07T23:39:25Z |
| format | Article |
| id | doaj.art-7aa9a929070c4727bd6a2fba0a5e1e51 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-07T23:39:25Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-7aa9a929070c4727bd6a2fba0a5e1e512024-02-20T04:18:41ZengElsevierAlexandria Engineering Journal1110-01682024-03-01908997Optimization and exact solutions for biofilm model of bacterial communitiesMuhammad Z. Baber0Aly R. Seadawy1Muhammad S. Iqbal2Syed T.R. Rizvi3Department of Mathematics and Statistics, The University of Lahore, Lahore, PakistanMathematics Department, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding author.Department of Academic Affairs, School of Leadership and Business, Oryx Universal College With Liverpool John Moores University (UK), 12253 Doha, Qatar; Department H&BS, Military College of Signals, NUST, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, PakistanIn this study, the optimization of the fixed point in function spaces and exact solutions to the biofilm model are studied to describe growth, and bacteria working together, including quorum sensing. Engineering applications that involve biotechnology, environmental engineering, and the creation of medical devices are particularly pertinent to biofilm models that include quorum sensing processes. This model is applied to cellular processes such as cell growth in mathematical biology. The optimization of the solution is also discussed by using the Banach space in an optimal ball. The existence of a solution is shown by using the Schauder fixed point theorem. Diverse exact solutions are extracted in hyperbolic, trigonometric, and plane waveforms are archive by using two techniques such as modified extended direct algebraic (MEDA) and G′/G-expansion technique. Additionally, the 3D plots and their corresponding contour graphs are also drawn to show the physical behavior of the solutions.http://www.sciencedirect.com/science/article/pii/S1110016824000486OptimizationExact solutionsMEDA techniqueG′/G-expansion techniqueBiofilm model |
| spellingShingle | Muhammad Z. Baber Aly R. Seadawy Muhammad S. Iqbal Syed T.R. Rizvi Optimization and exact solutions for biofilm model of bacterial communities Alexandria Engineering Journal Optimization Exact solutions MEDA technique G′/G-expansion technique Biofilm model |
| title | Optimization and exact solutions for biofilm model of bacterial communities |
| title_full | Optimization and exact solutions for biofilm model of bacterial communities |
| title_fullStr | Optimization and exact solutions for biofilm model of bacterial communities |
| title_full_unstemmed | Optimization and exact solutions for biofilm model of bacterial communities |
| title_short | Optimization and exact solutions for biofilm model of bacterial communities |
| title_sort | optimization and exact solutions for biofilm model of bacterial communities |
| topic | Optimization Exact solutions MEDA technique G′/G-expansion technique Biofilm model |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824000486 |
| work_keys_str_mv | AT muhammadzbaber optimizationandexactsolutionsforbiofilmmodelofbacterialcommunities AT alyrseadawy optimizationandexactsolutionsforbiofilmmodelofbacterialcommunities AT muhammadsiqbal optimizationandexactsolutionsforbiofilmmodelofbacterialcommunities AT syedtrrizvi optimizationandexactsolutionsforbiofilmmodelofbacterialcommunities |