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隐形的曲率:形状如何塑造生命

余坤诺 徐钊 卢梦楠 程波 徐峰

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. doi: 10.21656/1000-0887.450316
引用本文: 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. doi: 10.21656/1000-0887.450316
YU Kunnuo, XU Zhao, LU Mengnan, CHENG Bo, XU Feng. The Invisible Curvature: How Shapes Shape Lives[J]. Applied Mathematics and Mechanics, 2025, 46(7): 809-820. doi: 10.21656/1000-0887.450316
Citation: YU Kunnuo, XU Zhao, LU Mengnan, CHENG Bo, XU Feng. The Invisible Curvature: How Shapes Shape Lives[J]. Applied Mathematics and Mechanics, 2025, 46(7): 809-820. doi: 10.21656/1000-0887.450316

隐形的曲率:形状如何塑造生命

doi: 10.21656/1000-0887.450316
基金项目: 

国家自然科学基金 12225208

国家自然科学基金 12432015

国家自然科学基金 12002262

详细信息
    作者简介:

    余坤诺(2005—),女(E-mail: yu-kunnuo1125@foxmail.com)

    通讯作者:

    徐峰(1980—),男,教授,博士,博士生导师(通讯作者. E-mail: fengxu@mail.xjtu.edu.cn)

  • 中图分类号: O39

The Invisible Curvature: How Shapes Shape Lives

  • 摘要: 曲率是描述物体弯曲程度的基本几何特性,在生物学和生物物理过程中起着至关重要的作用.该文探讨了曲率在自然系统中的广泛存在及其对植物、动物和微生物结构与行为的影响.在人体中,曲率表现于多个尺度,从微观的细胞结构到宏观的器官形态,塑造了细胞功能、稳态以及整体生物力学效率.曲率对细胞行为有显著影响,尤其是在黏附、迁移和细胞间通信等过程中,为组织工程等领域提供了重要见解.在病理学上,曲率的改变与多种疾病相关,包括癌症和神经退行性疾病,影响疾病的进展并提供潜在的治疗靶点.此外,曲率在生物医学领域具有广泛应用,如生物成像、组织工程和靶向药物传递.深入理解曲率在生物系统中的作用,不仅可加深对生命过程的理解,也为医学创新和治疗策略的开发开辟了新的途径.
  • 图  1  曲率的定义

    Figure  1.  The definition of curvatures

    图  2  自然界中的曲率

      为了解释图中的颜色,读者可以参考本文的电子网页版本,后同.

    Figure  2.  Curvatures in nature

    图  3  人体中的曲率

    Figure  3.  Curvatures in the human body

    图  4  曲率对细胞行为的影响

    Figure  4.  The effects of curvatures on cell behaviors

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出版历程
  • 收稿日期:  2024-11-20
  • 修回日期:  2025-01-25
  • 网络出版日期:  2025-07-30
  • 刊出日期:  2025-07-01

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