Olaranont Nonthakorn, Wei Chaozhen, Lowengrub John, Wu Min
Department of Mathematics, University of California Irvine, Irvine, CA 92697 USA.
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China.
ArXiv. 2024 Dec 3:arXiv:2412.00916v2.
It is widely recognized that reciprocal interactions between cells and their microenvironment, via mechanical forces and biochemical signaling pathways, regulate cell behaviors during normal development, homeostasis and disease progression such as cancer. However, it is still not well understood how complex patterns of tissue growth emerge. Here, we propose a framework for the chemomechanical regulation of growth based on thermodynamics of continua and growth-elasticity to predict growth patterns. Combining the elastic and chemical energies, we use an energy variational approach to derive a novel formulation that incorporates an energy-dissipating stress relaxation and biochemomechanical regulation of the volumetric growth rate. We validate the model using experimental data from growth of tumor spheroids in confined environments. We also investigate the influence of model parameters, including tissue rearrangement rate, tissue compressibility, strength of mechanical feedback and external mechanical stimuli, on the growth patterns of tumor spheroids.
人们普遍认识到，细胞与其微环境之间通过机械力和生化信号通路的相互作用，在正常发育、体内平衡以及癌症等疾病进展过程中调节细胞行为。然而，目前仍不清楚复杂的组织生长模式是如何出现的。在此，我们基于连续介质热力学和生长弹性提出了一个生长的化学力学调节框架，以预测生长模式。结合弹性和化学能，我们采用能量变分方法推导出一种新的公式，该公式纳入了能量耗散应力松弛和体积生长率的生化力学调节。我们使用来自受限环境中肿瘤球体生长的实验数据验证了该模型。我们还研究了模型参数，包括组织重排率、组织压缩性、机械反馈强度和外部机械刺激，对肿瘤球体生长模式的影响。
