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arXiv 2103.14623math.AP
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一维化学趋化反应的增强

Chemotactic Reaction Enhancement in One Dimension

Yishu Gong, Alexander Kiselev

摘要:

趋化性,细胞朝向化学梯度源的定向运动,是许多生物过程的组成部分-例如,细菌运动、单细胞或多细胞生物体发育、免疫应答等。趋化性引导细菌的运动以寻找食物(例如,葡萄糖)游向最高浓度的食物分子。在多细胞生物中,趋化性对早期发育至关重要(例如,精子在受精过程中向卵子运动)。趋化性还有助于动员感染、组织损伤部位的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PDE系统,它描述了这样的生物过程中的一个维度,这可能对应于一个薄的通道,在许多应用程序中相关的设置:例如,精子的进展,输卵管内的卵子或免疫反应在血管。

英文摘要:

Chemotaxis, the directional locomotion of cells towards a source of a chemical gradient, is an integral part of many biological processes - for example, bacteria motion, single-cell or multicellular organisms development, immune response, etc. 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 such biological 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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