Avtandilov G G
Arkh Patol. 1978;40(7):79-88.
The author discusses the possibilities of using mathematics in pathological anatomy studies on the basis of data from literature and his own studies. The information on the organization and planning of a mathematical investigation and on the features of the system approach to investigation of pathomorphology problems is presented. The main stages of the mathematical analysis of pathological changes are described with special reference to the use of likelihood and information approaches to the evaluation of the pathology of morphological systems at all levels of the structural organization. The principles of mathematical modelling and axiomatization of pathomorphological processes are outlined. The paper is illustrated with mathematical models of age dynamics of atherosclerosis and informational characteristics of the process of malignization of the stratified squamous epithelium. The general principles of further development of quantitative pathomorphology are briefly discussed.
作者基于文献数据和自身研究，探讨了数学在病理解剖学研究中的应用可能性。介绍了数学研究的组织与规划信息，以及研究病理形态学问题的系统方法特点。描述了病理变化数学分析的主要阶段，特别提及在结构组织各级别上使用似然性和信息方法评估形态学系统的病理学。概述了病理形态学过程的数学建模和公理化原则。本文通过动脉粥样硬化年龄动态的数学模型和分层鳞状上皮恶性化过程的信息特征进行说明。简要讨论了定量病理形态学进一步发展的一般原则。
