Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
Math Biosci Eng. 2013 Jun;10(3):925-38. doi: 10.3934/mbe.2013.10.925.
In this paper we introduce a new growth model called T growth model. This model is capable of representing sigmoidal growth as well as biphasic growth. This dual capability is achieved without introducing additional parameters. The T model is useful in modeling cellular proliferation or regression of cancer cells, stem cells, bacterial growth and drug dose-response relationships. We recommend usage of the T growth model for the growth of tumors as part of any system of differential equations. Use of this model within a system will allow more flexibility in representing the natural rate of tumor growth. For illustration, we examine some systems of tumor-immune interaction in which the T growth rate is applied. We also apply the model to a set of tumor growth data.
在本文中，我们介绍了一种新的增长模型，称为 T 增长模型。该模型能够表示 S 型增长和双相增长。这种双重能力是在不引入额外参数的情况下实现的。T 模型在建模癌细胞、干细胞、细菌生长和药物剂量反应关系的细胞增殖或衰退方面非常有用。我们建议在微分方程系统中使用 T 增长模型来描述肿瘤的生长。在系统中使用该模型可以更灵活地表示肿瘤的自然生长速度。为了说明这一点，我们研究了一些肿瘤-免疫相互作用的系统，其中应用了 T 增长率。我们还将该模型应用于一组肿瘤生长数据。
