Yang Fengwei, Venkataraman Chandrasekhar, Gu Sai, Styles Vanessa, Madzvamuse Anotida
Department of Engineering, University of Warwick, Coventry CV4 7AL, UK.
Department of Mathematics, School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH, UK.
J Imaging. 2022 Jul 15;8(7):199. doi: 10.3390/jimaging8070199.
Cell migration is essential for physiological, pathological and biomedical processes such as, in embryogenesis, wound healing, immune response, cancer metastasis, tumour invasion and inflammation. In light of this, quantifying mechanical properties during the process of cell migration is of great interest in experimental sciences, yet few theoretical approaches in this direction have been studied. In this work, we propose a theoretical and computational approach based on the optimal control of geometric partial differential equations to estimate cell membrane forces associated with cell polarisation during migration. Specifically, cell membrane forces are inferred or estimated by fitting a mathematical model to a sequence of images, allowing us to capture dynamics of the cell migration. Our approach offers a robust and accurate framework to compute geometric mechanical membrane forces associated with cell polarisation during migration and also yields geometric information of independent interest, we illustrate one such example that involves quantifying cell proliferation levels which are associated with cell division, cell fusion or cell death.
细胞迁移对于生理、病理和生物医学过程至关重要，例如在胚胎发育、伤口愈合、免疫反应、癌症转移、肿瘤侵袭和炎症中。鉴于此，在细胞迁移过程中量化力学特性在实验科学中备受关注，但在这个方向上的理论方法研究较少。在这项工作中，我们提出了一种基于几何偏微分方程最优控制的理论和计算方法，以估计与迁移过程中细胞极化相关的细胞膜力。具体而言，通过将数学模型拟合到一系列图像中来推断或估计细胞膜力，这使我们能够捕捉细胞迁移的动态过程。我们的方法提供了一个强大而准确的框架，用于计算与迁移过程中细胞极化相关的几何力学膜力，并且还产生了具有独立研究价值的几何信息，我们举例说明了一个涉及量化与细胞分裂、细胞融合或细胞死亡相关的细胞增殖水平的例子。
