Banerjee Jeet, Ranjan Tanvi, Layek Ritwik Kumar
Annu Int Conf IEEE Eng Med Biol Soc. 2015;2015:5367-71. doi: 10.1109/EMBC.2015.7319604.
In this paper, a novel mathematical approach is proposed for the dynamics of progression and suppression of cancer. We define mutant cell density, ρ(μ) (μ × ρ), as a primary factor in cancer dynamics, and use logistic growth model and replicator equation for defining the dynamics of total cell density (ρ) and mutant fraction (μ), respectively. Furthermore, in the proposed model, we introduce an analytical expression for a control parameter D (drug), to suppress the proliferation of mutants with extra fitness level σ. Lastly, we present a comparison of the proposed model with some existing models of tumour growth.
在本文中，我们提出了一种用于癌症进展和抑制动力学的新型数学方法。我们将突变细胞密度ρ(μ)（μ×ρ）定义为癌症动力学中的主要因素，并分别使用逻辑斯谛增长模型和复制者方程来定义总细胞密度（ρ）和突变分数（μ）的动力学。此外，在所提出的模型中，我们引入了一个控制参数D（药物）的解析表达式，以抑制具有额外适应度水平σ的突变体的增殖。最后，我们将所提出的模型与一些现有的肿瘤生长模型进行了比较。
