Dimou Argyris, Argyrakis Panos, Kopelman Raoul
Department of Physics and Complexity Center, University of Thessaloniki, 54124 Thessaloniki, Greece.
Department of Chemistry, and Rogel Cancer Center, University of Michigan Health System, Ann Arbor, MI 48109, USA.
Entropy (Basel). 2022 Aug 2;24(8):1069. doi: 10.3390/e24081069.
Breakdowns of two-zone random networks of the Erdős-Rényi type are investigated. They are used as mathematical models for understanding the incompleteness of the tumor network breakdown under radiochemotherapy, an incompleteness that may result from a tumor's physical and/or chemical heterogeneity. Mathematically, having a reduced node removal probability in the network's inner zone hampers the network's breakdown. The latter is described quantitatively as a function of reduction in the inner zone's removal probability, where the network breakdown is described in terms of the largest remaining clusters and their size distributions. The effects on the efficacy of radiochemotherapy due to the tumor micro-environment (TME)'s chemical make-up, and its heterogeneity, are discussed, with the goal of using such TME chemical heterogeneity imaging to inform precision oncology.
研究了厄多斯 - 雷尼类型的两区随机网络的崩溃情况。它们被用作数学模型，以理解放化疗下肿瘤网络崩溃的不完全性，这种不完全性可能源于肿瘤的物理和/或化学异质性。在数学上，网络内部区域节点去除概率的降低会阻碍网络的崩溃。后者被定量描述为内部区域去除概率降低的函数，其中网络崩溃是根据最大剩余簇及其大小分布来描述的。讨论了肿瘤微环境（TME）的化学组成及其异质性对放化疗疗效的影响，目的是利用这种TME化学异质性成像为精准肿瘤学提供信息。
