一维的趋化反应增强

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED
Yishu Gong, Alexander Kiselev
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引用次数: 0

摘要

趋化作用是指细胞在化学梯度作用下的定向运动,在多种生物过程中发挥着至关重要的作用。例如,细菌运动、单细胞或多细胞生物体的发育以及免疫反应。趋化作用引导细菌游向食物分子浓度最高的地方寻找食物(如葡萄糖)。在多细胞生物体中,趋化性对早期发育至关重要(例如,受精过程中精子向卵子移动)。趋化还有助于在感染和组织损伤部位调动吞噬细胞和免疫细胞,从而促进免疫反应。在本文中,我们研究了一个描述一维趋化过程的 PDE 系统,该一维趋化过程可能相当于一个细通道,这在许多应用中都是相关的:例如,精子在输卵管内向卵子移动或血管中的免疫反应。我们的目标是对趋化如何提高反应效率(与纯扩散情况相比)进行定性精确估算。为实现这一目标,我们采用的技术包括各种比较原理以及对一类福克-普朗克算子的质量传输进行分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Chemotactic reaction enhancement in one dimension
Chemotaxis, which involves the directed movement of cells in response to a chemical gradient, plays a crucial role in a broad variety of biological processes. Examples include bacterial motion, the development of single-cell or multicellular organisms, and immune responses. Chemotaxis directs bacteria’s movement to find food (e.g., glucose) by swimming toward the highest concentration of food molecules. In multicellular organisms, chemotaxis is critical to early development (e.g., movement of sperm towards the egg during fertilization). Chemotaxis also helps mobilize phagocytic and immune cells at sites of infection, tissue injury, and thus facilitates immune reactions. In this paper, we study a PDE system that describes chemotactic processes in one dimension, which may correspond to a thin channel, the setting relevant in many applications: for example, spermatozoa progression to the ovum inside a Fallopian tube or immune response in a blood vessel. Our objective is to obtain qualitatively precise estimates on how chemotaxis improves reaction efficiency, when compared to purely diffusive situation. The techniques we use to achieve this goal include a variety of comparison principles and analysis of mass transport for a class of Fokker–Planck operators.
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来源期刊
CiteScore
1.70
自引率
10.00%
发文量
59
审稿时长
6 months
期刊介绍: Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.
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