The Invisible Curvature: How Shapes Shape Lives

YU Kunnuo; XU Zhao; LU Mengnan; CHENG Bo; XU Feng

doi:10.21656/1000-0887.450316

Volume 46 Issue 7

Jul. 2025

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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

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

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The Invisible Curvature: How Shapes Shape Lives

doi: 10.21656/1000-0887.450316

YU Kunnuo^{1, 2
,},
XU Zhao^{1, 2},
LU Mengnan^{1, 2},
CHENG Bo^{1, 2},
XU Feng^{1, 2
,
,}

1.
Key Laboratory of Biomedical Information Engineering of Ministry of Education, School of Life Science and Technology, Xi'an Jiaotong University, Xi'an 710049, P.R.China
2.
Bioinspired Engineering and Biomechanics Center (BEBC), Xi'an Jiaotong University, Xi'an 710049, P.R.China

Received Date: 2024-11-20
Rev Recd Date: 2025-01-25

Available Online: 2025-07-30

Publish Date: 2025-07-01

Abstract

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 influence on the structures and behaviors of plants, animals, and microorganisms were investigated. In the human body, curvatures are evident at multiple scales, from microscopic cellular structures to the macroscopic organic morphologies, shaping cellular functions, mechanical homeostasis, and overall biomechanical efficiency. Curvatures significantly affect cell behaviors, particularly in processes like adhesion, migration, and intercellular communication, offering insights with implications for tissue engineering. Pathologically, alterations in curvature are associated with a range of diseases including cancers and neurodegenerative disorders, influencing disease progression and providing potential therapeutic targets. Additionally, curvature has diverse biomedical 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.
- curvature,
- cell behavior,
- pathology,
- biomedical application

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References(67)

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