Sehl Mary E, Wicha Max S
Division of Hematology-Oncology, Department of Medicine, David Geffen School of Medicine, University of California, Los Angeles, CA, 90095, USA.
Department of Biomathematics, David Geffen School of Medicine, University of California, Los Angeles, CA, 90095, USA.
Methods Mol Biol. 2018;1711:333-349. doi: 10.1007/978-1-4939-7493-1_16.
Mathematical models of cancer stem cells are useful in translational cancer research for facilitating the understanding of tumor growth dynamics and for predicting treatment response and resistance to combined targeted therapies. In this chapter, we describe appealing aspects of different methods used in mathematical oncology and discuss compelling questions in oncology that can be addressed with these modeling techniques. We describe a simplified version of a model of the breast cancer stem cell niche, illustrate the visualization of the model, and apply stochastic simulation to generate full distributions and average trajectories of cell type populations over time. We further discuss the advent of single-cell data in studying cancer stem cell heterogeneity and how these data can be integrated with modeling to advance understanding of the dynamics of invasive and proliferative populations during cancer progression and response to therapy.
癌症干细胞的数学模型在转化癌症研究中很有用,有助于理解肿瘤生长动力学,并预测联合靶向治疗的反应和耐药性。在本章中,我们描述了数学肿瘤学中不同方法的吸引人之处,并讨论了肿瘤学中可以用这些建模技术解决的引人注目的问题。我们描述了乳腺癌干细胞微环境模型的简化版本,说明了模型的可视化,并应用随机模拟来生成细胞类型群体随时间的完整分布和平均轨迹。我们进一步讨论了单细胞数据在研究癌症干细胞异质性方面的出现,以及这些数据如何与建模相结合,以促进对癌症进展和治疗反应过程中侵袭性和增殖性群体动态的理解。