{"title":"Mechanics and thermodynamics of multivalent-binding induced shrinkage of hydrogels","authors":"","doi":"10.1016/j.ijmecsci.2024.109643","DOIUrl":null,"url":null,"abstract":"<div><p>Understanding the fundamental mechanism of shrink hydrogel sensors necessitates a complete comprehension of analyte-centered multivalent binding that occurs within their salt-rich microenvironments. However, the mechanics and thermodynamics governing this phenomenon remain insufficiently understood. Here, we aim to derive a theoretical framework that examines the impact of temporary cross-link formation on the hydrogel shrinkage due to specific binding interaction between the fixed receptors and the multivalent analytes. As a highlight of our theory, we mathematically quantify the hydrogels’ permanent and temporary cross-links using statistical thermodynamics to describe the multivalent complexation with different binding degrees while accounting for molecular-level transport factors when predicting the sensor’s shrinking characteristics. Consequently, our theory unveils the upper bounds set by the external analyte concentration and analyte binding valency onto the actuation sensitivity of these sensors, whereby tuning the receptor density permits further modulation of their performances. These findings tightly correlate the microscopic properties of the analyte and hydrogel to the macroscopic behaviors of shrink sensors, facilitating a structured design regime for advanced biomedical applications.</p></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":null,"pages":null},"PeriodicalIF":7.1000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020740324006842/pdfft?md5=64911fa100cc4b971191e1aace387cda&pid=1-s2.0-S0020740324006842-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mechanical Sciences","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020740324006842","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Understanding the fundamental mechanism of shrink hydrogel sensors necessitates a complete comprehension of analyte-centered multivalent binding that occurs within their salt-rich microenvironments. However, the mechanics and thermodynamics governing this phenomenon remain insufficiently understood. Here, we aim to derive a theoretical framework that examines the impact of temporary cross-link formation on the hydrogel shrinkage due to specific binding interaction between the fixed receptors and the multivalent analytes. As a highlight of our theory, we mathematically quantify the hydrogels’ permanent and temporary cross-links using statistical thermodynamics to describe the multivalent complexation with different binding degrees while accounting for molecular-level transport factors when predicting the sensor’s shrinking characteristics. Consequently, our theory unveils the upper bounds set by the external analyte concentration and analyte binding valency onto the actuation sensitivity of these sensors, whereby tuning the receptor density permits further modulation of their performances. These findings tightly correlate the microscopic properties of the analyte and hydrogel to the macroscopic behaviors of shrink sensors, facilitating a structured design regime for advanced biomedical applications.
期刊介绍:
The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering.
The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture).
Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content.
In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.