A reaction-diffusion model of the receptor-toxin-antibody interaction.

Q1 Mathematics

Theoretical Biology and Medical Modelling Pub Date : 2011-09-07 DOI:10.1186/1742-4682-8-32

Vladas Skakauskas, Pranas Katauskis, Alex Skvortsov

{"title":"A reaction-diffusion model of the receptor-toxin-antibody interaction.","authors":"Vladas Skakauskas, Pranas Katauskis, Alex Skvortsov","doi":"10.1186/1742-4682-8-32","DOIUrl":null,"url":null,"abstract":"Background: It was recently shown that the treatment effect of an antibody can be described by a consolidated parameter which includes the reaction rates of the receptor-toxin-antibody kinetics and the relative concentration of reacting species. As a result, any given value of this parameter determines an associated range of antibody kinetic properties and its relative concentration in order to achieve a desirable therapeutic effect. In the current study we generalize the existing kinetic model by explicitly taking into account the diffusion fluxes of the species.Results: A refined model of receptor-toxin-antibody (RTA) interaction is studied numerically. The protective properties of an antibody against a given toxin are evaluated for a spherical cell placed into a toxin-antibody solution. The selection of parameters for numerical simulation approximately corresponds to the practically relevant values reported in the literature with the significant ranges in variation to allow demonstration of different regimes of intracellular transport.Conclusions: The proposed refinement of the RTA model may become important for the consistent evaluation of protective potential of an antibody and for the estimation of the time period during which the application of this antibody becomes the most effective. It can be a useful tool for in vitro selection of potential protective antibodies for progression to in vivo evaluation.","PeriodicalId":51195,"journal":{"name":"Theoretical Biology and Medical Modelling","volume":" ","pages":"32"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/1742-4682-8-32","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical Biology and Medical Modelling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/1742-4682-8-32","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 12

Abstract

Background: It was recently shown that the treatment effect of an antibody can be described by a consolidated parameter which includes the reaction rates of the receptor-toxin-antibody kinetics and the relative concentration of reacting species. As a result, any given value of this parameter determines an associated range of antibody kinetic properties and its relative concentration in order to achieve a desirable therapeutic effect. In the current study we generalize the existing kinetic model by explicitly taking into account the diffusion fluxes of the species.

Results: A refined model of receptor-toxin-antibody (RTA) interaction is studied numerically. The protective properties of an antibody against a given toxin are evaluated for a spherical cell placed into a toxin-antibody solution. The selection of parameters for numerical simulation approximately corresponds to the practically relevant values reported in the literature with the significant ranges in variation to allow demonstration of different regimes of intracellular transport.

Conclusions: The proposed refinement of the RTA model may become important for the consistent evaluation of protective potential of an antibody and for the estimation of the time period during which the application of this antibody becomes the most effective. It can be a useful tool for in vitro selection of potential protective antibodies for progression to in vivo evaluation.

Abstract Image

查看原文本刊更多论文

受体-毒素-抗体相互作用的反应-扩散模型。

背景:最近的研究表明，一种抗体的治疗效果可以用一个综合参数来描述，该参数包括受体-毒素-抗体动力学的反应速率和反应物质的相对浓度。因此，该参数的任何给定值决定了抗体动力学性质及其相对浓度的相关范围，以达到理想的治疗效果。在目前的研究中，我们通过明确地考虑物种的扩散通量来推广现有的动力学模型。结果:对受体-毒素-抗体(RTA)相互作用的精细模型进行了数值研究。将球形细胞置于毒素抗体溶液中，评估抗体对特定毒素的保护特性。数值模拟参数的选择近似对应于文献中报道的实际相关值，其变化范围显著，以允许演示细胞内运输的不同制度。结论:RTA模型的改进对于一致评估抗体的保护潜力和估计该抗体的应用最有效的时间段可能变得重要。它可以作为一种有用的工具，用于体外选择潜在的保护性抗体，以进行体内评估。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Theoretical Biology and Medical Modelling MATHEMATICAL & COMPUTATIONAL BIOLOGY-

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Theoretical Biology and Medical Modelling is an open access peer-reviewed journal adopting a broad definition of "biology" and focusing on theoretical ideas and models associated with developments in biology and medicine. Mathematicians, biologists and clinicians of various specialisms, philosophers and historians of science are all contributing to the emergence of novel concepts in an age of systems biology, bioinformatics and computer modelling. This is the field in which Theoretical Biology and Medical Modelling operates. We welcome submissions that are technically sound and offering either improved understanding in biology and medicine or progress in theory or method.