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现代的癌症化疗广泛应用着重要基础科学如生物学、化学、物理学以及数学的方法和概念。因此,对于指导多方面学者研究的一些原则,使之系统化是极为重要的。这些原则应当阐明药物的结构、化学反应性和抗肿瘤性质的相互关系。数理统计以及计算方法应当成为定量评价药效和使化疗最佳化的基础。肿瘤生长和药物代谢的动力学研究起着重要作用,因为化疗的效果依赖于过程发展的阶段以及药物动力学特点。疗效的定量标准可以用指数函数、S形函数或者幂函数来描写所有实验肿瘤过程的动力学。瘤细胞群生长的微分方程式可以写成
Modern cancer chemotherapy is widely used in important basic sciences such as biology, chemistry, physics and mathematics methods and concepts. Therefore, it is extremely important to systematize some principles that guide many scholars. These principles should elucidate the interplay of drug structure, chemical reactivity and anti-tumor properties. Mathematical statistics and methods of calculation should be the basis for quantitative evaluation of efficacy and optimization of chemotherapy. Kinetic studies of tumor growth and drug metabolism play an important role because the effects of chemotherapy depend on the stage of the process development as well as the pharmacokinetic characteristics. Quantitative criteria for efficacy The kinetics of all experimental oncology processes can be characterized by exponential, sigmoid or power functions. Differential equations for the growth of tumor cells can be written as: