Department of Mathematical Sciences, Charles E. Schmidt College of Science, Florida Atlantic University, Boca Raton, FL, USA.
Integrated Mathematical Oncology Department, H. Lee Moffitt Cancer Center and Research Institute, Tampa, FL, USA.
Bull Math Biol. 2020 Jun 3;82(6):68. doi: 10.1007/s11538-020-00746-7.
Traditionally, the monolayer (two-dimensional) cell cultures are used for initial evaluation of the effectiveness of anticancer drugs. In particular, these experiments provide the [Formula: see text] curves that determine drug concentration that can inhibit growth of a tumor colony by half when compared to the cells grown with no exposure to the drug. Low [Formula: see text] value means that the drug is effective at low concentrations, and thus will show lower systemic toxicity when administered to the patient. However, in these experiments cells are grown in a monolayer, all well exposed to the drug, while in vivo tumors expand as three-dimensional multicellular masses, where inner cells have a limited access to the drug. Therefore, we performed computational studies to compare the [Formula: see text] curves for cells grown as a two-dimensional monolayer and a cross section through a three-dimensional spheroid. Our results identified conditions (drug diffusivity, drug action mechanisms and cell proliferation capabilities) under which these [Formula: see text] curves differ significantly. This will help experimentalists to better determine drug dosage for future in vivo experiments and clinical trials.
传统上,单层(二维)细胞培养物用于初步评估抗癌药物的有效性。特别是,这些实验提供了[公式:见文本]曲线,该曲线确定了药物浓度,当与未暴露于药物的细胞相比,药物浓度可以抑制肿瘤集落生长一半。低[公式:见文本]值意味着药物在低浓度下有效,因此当施用于患者时,全身毒性会更低。然而,在这些实验中,细胞在单层中生长,所有细胞都暴露于药物,而体内肿瘤作为三维多细胞团块生长,其中内部细胞对药物的获取受到限制。因此,我们进行了计算研究,以比较作为二维单层生长的细胞和穿过三维球体的横截面的[公式:见文本]曲线。我们的结果确定了这些[公式:见文本]曲线显著不同的条件(药物扩散率、药物作用机制和细胞增殖能力)。这将有助于实验人员更好地确定未来体内实验和临床试验的药物剂量。