等抛物线法的数学基础

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI:10.1134/S1990478924040148

V. G. Panov

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引用次数: 0

摘要

提出了生物医学科学中使用的概念和结构的更精确的定义，以使用等线图分析因素的联合作用。给出了零相互作用、尺度等效剂量响应函数和零相互作用流形概念的形式化定义。提出了一种一般结构，形式化了用等螺线分析联合作用的适用条件和基本方法。在尺度等效和任意剂量响应函数的情况下，导出了零相互作用流形的方程。

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Mathematical Foundations of the Isobolographic Method

More precise definitions of concepts and constructs used in biomedical sciences are proposed to analyze the joint action of factors using isobolograms. Formal definitions of concepts of zero interaction, scale-equivalent dose–response functions, and zero-interaction manifold are given. A general construction is proposed that formalizes the conditions of applicability and the basic methods for analyzing the combined action using isoboles. Equations of zero-interaction manifolds are derived both in the case of scale-equivalent and arbitrary dose–response functions.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.