{"title":"基于血管生成数学模型的简单伤口愈合模拟程序","authors":"A. Kokorev, Oleg Avrunin","doi":"10.1109/KhPIWeek57572.2022.9916373","DOIUrl":null,"url":null,"abstract":"In the present work the existing one-dimensional mathematical model of wound healing angiogenesis was wrapped into the computer program with a convenient interface. The model considers two variables: capillary tip density and endothelial cells density. The model is continuous and consists of two PDEs. Our program allows to find the speed and the time of wound healing as well as the distribution of the variables at any stage of healing, from the small set of measured (or estimated) input parameters. The usage of the program was demonstrated on the different sets of input parameters: those that considered to be “normal” ones and “pathological” ones.","PeriodicalId":197096,"journal":{"name":"2022 IEEE 3rd KhPI Week on Advanced Technology (KhPIWeek)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Simple Wound Healing Simulation Program Based on Mathematical Model of Angiogenesis\",\"authors\":\"A. Kokorev, Oleg Avrunin\",\"doi\":\"10.1109/KhPIWeek57572.2022.9916373\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present work the existing one-dimensional mathematical model of wound healing angiogenesis was wrapped into the computer program with a convenient interface. The model considers two variables: capillary tip density and endothelial cells density. The model is continuous and consists of two PDEs. Our program allows to find the speed and the time of wound healing as well as the distribution of the variables at any stage of healing, from the small set of measured (or estimated) input parameters. The usage of the program was demonstrated on the different sets of input parameters: those that considered to be “normal” ones and “pathological” ones.\",\"PeriodicalId\":197096,\"journal\":{\"name\":\"2022 IEEE 3rd KhPI Week on Advanced Technology (KhPIWeek)\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 IEEE 3rd KhPI Week on Advanced Technology (KhPIWeek)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/KhPIWeek57572.2022.9916373\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 IEEE 3rd KhPI Week on Advanced Technology (KhPIWeek)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/KhPIWeek57572.2022.9916373","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Simple Wound Healing Simulation Program Based on Mathematical Model of Angiogenesis
In the present work the existing one-dimensional mathematical model of wound healing angiogenesis was wrapped into the computer program with a convenient interface. The model considers two variables: capillary tip density and endothelial cells density. The model is continuous and consists of two PDEs. Our program allows to find the speed and the time of wound healing as well as the distribution of the variables at any stage of healing, from the small set of measured (or estimated) input parameters. The usage of the program was demonstrated on the different sets of input parameters: those that considered to be “normal” ones and “pathological” ones.
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