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生物膜和神经中Heimburg模型的多波、呼吸子、孤子及其他解。

Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves.

作者信息

Ozsahin Dilber Uzun, Ceesay Baboucarr, Baber Muhammad Zafarullah, Ahmed Nauman, Raza Ali, Rafiq Muhammad, Ahmad Hijaz, Awwad Fuad A, Ismail Emad A A

机构信息

Department of Medical Diagnostic Imaging, College of Health Sciences, Sharjah University, Sharjah, United Arab Emirates.

Research Institute for Medical and Health Sciences, University of Sharjah, Sharjah, United Arab Emirates.

出版信息

Sci Rep. 2024 May 3;14(1):10180. doi: 10.1038/s41598-024-60689-0.

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.

摘要

在本手稿中,对一种称为海姆堡模型的数学模型进行了分析研究,以获得孤子解。生物膜和神经都可以用这个模型来研究。该模型将细胞膜的脂质双层视为一种经历相变的物质。这意味着膜以非线性方式响应电干扰。海姆堡模型表明了离子电导在神经冲动传播中的重要性。使用广田双线性方法对神经中机电脉冲的动力学进行了分析研究。研究了各种类型的孤子,如同宿呼吸波、通过双指数相互作用、块状波、多波、混合型解和周期性交叉扭结解。机电脉冲随后的三维形状和轮廓形状为神经功能提供了关键见解,并且有朝一日可能用于医学和生物科学。这项研究提高了我们对孤子动力学的理解,也为生物医学研究和医学发展开辟了新方向。还为新解创建了一些三维和轮廓图,并展示了相互作用行为。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f54f/11585618/1878e6e33830/41598_2024_60689_Fig1_HTML.jpg

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本文引用的文献

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Study of the soliton propagation of the fractional nonlinear type evolution equation through a novel technique.
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