Algorithms and methodological challenges in the development and application of quantitative systems pharmacology models: a case study in type 2 diabetes

IF 0.5 4区 数学 Q4 MATHEMATICS, APPLIED Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2022-11-01 DOI:10.1515/rnam-2022-0025
V. Sokolov
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Abstract

Abstract Quantitative systems pharmacology (QSP) is a relatively new modelling discipline, formed within the ever-growing domain of model-informed drug development and actively evolving throughout the last decade. This modelling technique is based on the systems analysis and is used to get a quantitative rather than qualitative understanding of systems dynamics and explore the mechanisms of action of a drug. However, there is no well-defined methodology for the QSP model development, which significantly complicates the practical application of these models. In the current work, we overview the existing mathematical models of antidiabetic therapies and propose a modelling method, which overcomes common limitations and is able to produce a physiologically based mechanistic model describing gliflozin action in type 2 diabetes mellitus. From the practical standpoint, sensitivity analysis preformed in this work helped to reveal subpopulation of patients with better response to gliflozin therapy.
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定量系统药理学模型开发和应用中的算法和方法挑战:2型糖尿病的案例研究
摘要定量系统药理学(QSP)是一门相对较新的建模学科,形成于不断增长的模型知情药物开发领域,并在过去十年中积极发展。这种建模技术基于系统分析,用于对系统动力学进行定量而非定性的理解,并探索药物的作用机制。然而,QSP模型开发没有定义明确的方法,这使这些模型的实际应用变得非常复杂。在目前的工作中,我们概述了现有的抗糖尿病治疗数学模型,并提出了一种建模方法,该方法克服了常见的局限性,能够产生一个基于生理学的机制模型来描述格列净在2型糖尿病中的作用。从实用的角度来看,这项工作中进行的敏感性分析有助于揭示对格列净治疗有更好反应的患者亚群。
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来源期刊
CiteScore
1.40
自引率
16.70%
发文量
31
审稿时长
>12 weeks
期刊介绍: The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest. Topics: -numerical analysis- numerical linear algebra- finite element methods for PDEs- iterative methods- Monte-Carlo methods- mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences.
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