{"title":"肿瘤中多柔比星转运和吸收的建模、稳定性和数值模拟","authors":"Daniela Cortes, Giuseppe Romanazzi","doi":"10.5540/03.2023.010.01.0072","DOIUrl":null,"url":null,"abstract":". This work analyzes the transport and effect of the chemotherapy drug doxorubicin in tumors. Specifically, we model the diffusion-convection process of doxorubicin delivered by bolus injection across the tumor and interstitium by a system of partial differential equations. We present a stability analysis of the system solution and implement a finite difference method to approximate it.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"43 S201","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modeling, Stability and Numerical Simulation of Doxorubicin Transport and Uptake in Tumors.\",\"authors\":\"Daniela Cortes, Giuseppe Romanazzi\",\"doi\":\"10.5540/03.2023.010.01.0072\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This work analyzes the transport and effect of the chemotherapy drug doxorubicin in tumors. Specifically, we model the diffusion-convection process of doxorubicin delivered by bolus injection across the tumor and interstitium by a system of partial differential equations. We present a stability analysis of the system solution and implement a finite difference method to approximate it.\",\"PeriodicalId\":274912,\"journal\":{\"name\":\"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics\",\"volume\":\"43 S201\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5540/03.2023.010.01.0072\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5540/03.2023.010.01.0072","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modeling, Stability and Numerical Simulation of Doxorubicin Transport and Uptake in Tumors.
. This work analyzes the transport and effect of the chemotherapy drug doxorubicin in tumors. Specifically, we model the diffusion-convection process of doxorubicin delivered by bolus injection across the tumor and interstitium by a system of partial differential equations. We present a stability analysis of the system solution and implement a finite difference method to approximate it.