Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves
Abstract In this manuscript, a mathematical model known as the Heimburg model is investigated analytically to get the soliton solutions. Both biomembranes and nerves can be studied using this model. The cell membrane’s lipid bilayer is regarded by the model as a substance that experiences phase tran...
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Nature Portfolio
2024-05-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-60689-0 |
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| author | Dilber Uzun Ozsahin Baboucarr Ceesay Muhammad Zafarullah baber Nauman Ahmed Ali Raza Muhammad Rafiq Hijaz Ahmad Fuad A. Awwad Emad A. A. Ismail |
| author_facet | Dilber Uzun Ozsahin Baboucarr Ceesay Muhammad Zafarullah baber Nauman Ahmed Ali Raza Muhammad Rafiq Hijaz Ahmad Fuad A. Awwad Emad A. A. Ismail |
| author_sort | Dilber Uzun Ozsahin |
| collection | DOAJ |
| description | Abstract In this manuscript, a mathematical model known as the Heimburg model is investigated analytically to get the soliton solutions. Both biomembranes and nerves can be studied using this model. The cell membrane’s lipid bilayer is regarded by the model as a substance that experiences phase transitions. It implies that the membrane responds to electrical disruptions in a nonlinear way. The importance of ionic conductance in nerve impulse propagation is shown by Heimburg’s model. The dynamics of the electromechanical pulse in a nerve are analytically investigated using the Hirota Bilinear method. The various types of solitons are investigates, such as homoclinic breather waves, interaction via double exponents, lump waves, multi-wave, mixed type solutions, and periodic cross kink solutions. The electromechanical pulse’s ensuing three-dimensional and contour shapes offer crucial insight into how nerves function and may one day be used in medicine and the biological sciences. Our grasp of soliton dynamics is improved by this research, which also opens up new directions for biomedical investigation and medical developments. A few 3D and contour profiles have also been created for new solutions, and interaction behaviors have also been shown. |
| format | Article |
| id | doaj-art-72dbe4cbf13b4d6b84f2527cc2f2eb2c |
| institution | OA Journals |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Nature Portfolio |
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| series | Scientific Reports |
| spelling | doaj-art-72dbe4cbf13b4d6b84f2527cc2f2eb2c2025-08-20T02:22:16ZengNature PortfolioScientific Reports2045-23222024-05-0114111710.1038/s41598-024-60689-0Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nervesDilber Uzun Ozsahin0Baboucarr Ceesay1Muhammad Zafarullah baber2Nauman Ahmed3Ali Raza4Muhammad Rafiq5Hijaz Ahmad6Fuad A. Awwad7Emad A. A. Ismail8Department of Medical Diagnostic Imaging, College of Health Sciences, Sharjah UniversityMathematics and Statistics Department, The University of LahoreMathematics and Statistics Department, The University of LahoreMathematics and Statistics Department, The University of LahoreDepartment of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department (PHED)Department of Mathematics, Faculty of Science and Technology, University of Central PunjabSection of Mathematics, International Telematic University UninettunoDepartment of Quantitative analysis, College of Business Administration, King Saud UniversityDepartment of Quantitative analysis, College of Business Administration, King Saud UniversityAbstract In this manuscript, a mathematical model known as the Heimburg model is investigated analytically to get the soliton solutions. Both biomembranes and nerves can be studied using this model. The cell membrane’s lipid bilayer is regarded by the model as a substance that experiences phase transitions. It implies that the membrane responds to electrical disruptions in a nonlinear way. The importance of ionic conductance in nerve impulse propagation is shown by Heimburg’s model. The dynamics of the electromechanical pulse in a nerve are analytically investigated using the Hirota Bilinear method. The various types of solitons are investigates, such as homoclinic breather waves, interaction via double exponents, lump waves, multi-wave, mixed type solutions, and periodic cross kink solutions. The electromechanical pulse’s ensuing three-dimensional and contour shapes offer crucial insight into how nerves function and may one day be used in medicine and the biological sciences. Our grasp of soliton dynamics is improved by this research, which also opens up new directions for biomedical investigation and medical developments. A few 3D and contour profiles have also been created for new solutions, and interaction behaviors have also been shown.https://doi.org/10.1038/s41598-024-60689-0Heimburg modelHirota bilinear methodSoliton solutionsPhysical representation |
| spellingShingle | Dilber Uzun Ozsahin Baboucarr Ceesay Muhammad Zafarullah baber Nauman Ahmed Ali Raza Muhammad Rafiq Hijaz Ahmad Fuad A. Awwad Emad A. A. Ismail Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves Scientific Reports Heimburg model Hirota bilinear method Soliton solutions Physical representation |
| title | Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves |
| title_full | Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves |
| title_fullStr | Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves |
| title_full_unstemmed | Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves |
| title_short | Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves |
| title_sort | multiwaves breathers lump and other solutions for the heimburg model in biomembranes and nerves |
| topic | Heimburg model Hirota bilinear method Soliton solutions Physical representation |
| url | https://doi.org/10.1038/s41598-024-60689-0 |
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