Laboratory of Applied Mathematics, School of Science & Technology, Hellenic Open University, Patras, Greece.
Adv Exp Med Biol. 2021;1338:273-281. doi: 10.1007/978-3-030-78775-2_32.
We propose a multiscale mathematical model for the avascular tumor growth. At the cellular scale, the model takes into account the biochemical environment, the different phases of the tumor cell cycle, the cells signaling, and cellular mechanics through a bioenergetics approach. A mathematical function is employed, namely, the "health function," that stands for the cells' biochemical energy in tumor's different regions, with respect to the carrying capacity of the extracellular matrix (ECM) and the metabolic processes of tumor cells. We also encounter in the model the glucose transporter GLUT1. The role that it plays in mitosis is investigated for the different kinds of tumor cell populations, as its overexpression in malignant cells is associated with the disease development. Simulations have been made, scaling up and estimating the evolution of tumor cell populations. By incorporating biochemical processes in tumor growth multiscale modeling, we aim to provide better understanding of the disease and assessment of possible targeted therapeutic strategies.
我们提出了一个多尺度数学模型来描述无血管肿瘤的生长。在细胞尺度上，该模型通过生物能量学方法考虑了生化环境、肿瘤细胞周期的不同阶段、细胞信号传递和细胞力学。我们使用了一个数学函数，即“健康函数”，代表肿瘤不同区域细胞的生化能量，与细胞外基质（ECM）的承载能力和肿瘤细胞的代谢过程有关。在模型中，我们还遇到了葡萄糖转运蛋白 GLUT1。针对不同类型的肿瘤细胞群体，研究了它在有丝分裂中的作用，因为它在恶性细胞中的过度表达与疾病的发展有关。已经进行了模拟，对肿瘤细胞群体的演变进行了放大和估计。通过在肿瘤生长的多尺度建模中纳入生化过程，我们旨在更好地了解疾病并评估可能的靶向治疗策略。
