应用数学和力学2025，Vol.46Issue(7)：809-820,12.DOI:10.21656/1000-0887.450316
隐形的曲率:形状如何塑造生命
The Invisible Curvature:How Shapes Shape Lives
摘要
Abstract
Curvature,a fundamental geometric property that describes the bending of objects,plays a crucial role in biological and biophysical processes.The ubiquitous presence of curvatures in natural systems and its in-fluence on the structures and behaviors of plants,animals,and microorganisms were investigated.In the hu-man body,curvatures are evident at multiple scales,from microscopic cellular structures to the macroscopic organic morphologies,shaping cellular functions,mechanical homeostasis,and overall biomechanical efficien-cy.Curvatures significantly affect cell behaviors,particularly in processes like adhesion,migration,and inter-cellular communication,offering insights with implications for tissue engineering.Pathologically,alterations in curvature are associated with a range of diseases including cancers and neurodegenerative disorders,influen-cing disease progression and providing potential therapeutic targets.Additionally,curvature has diverse biomed-ical applications,such as in bioimaging,tissue engineering,and targeted drug delivery.A deeper understanding of curvature's role in biological systems not only enhances our comprehension of fundamental life processes but also opens new avenues for medical innovation and therapeutic development.关键词
曲率/细胞行为/病理/生物医学应用Key words
curvature/cell behavior/pathology/biomedical application分类
数理科学引用本文复制引用
余坤诺,徐钊,卢梦楠,程波,徐峰..隐形的曲率:形状如何塑造生命[J].应用数学和力学,2025,46(7):809-820,12.基金项目
国家自然科学基金(12225208 （）
12432015 （）
12002262) （）
