...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >A FRACTIONAL-ORDER DELAY DIFFERENTIAL MODEL WITH OPTIMAL CONTROL FOR CANCER TREATMENT BASED ON SYNERGY BETWEEN ANTI-ANGIOGENIC AND IMMUNE CELL THERAPIES
【24h】

A FRACTIONAL-ORDER DELAY DIFFERENTIAL MODEL WITH OPTIMAL CONTROL FOR CANCER TREATMENT BASED ON SYNERGY BETWEEN ANTI-ANGIOGENIC AND IMMUNE CELL THERAPIES

机译：基于抗血管生成和免疫细胞疗法的协同作用的癌症治疗最佳控制的分数阶延迟差分模型

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper,we present an optimal control problem of fractional-order delay-differential model for cancer treatment based on the synergy between anti-angiogenic and immune cells therapies.The governed model consists of eighteen differential equations.A discrete time-delay is incorporated to represent the time required for the immune system to interact with the cancer cells,and fractional-order derivative is considered to reect the memory and hereditary properties in the process.Two control variables for immunotherapy and anti-angiogenic therapy are considered to reduce the load of cancer cells.Necessary conditions that guarantee the existence and the uniqueness of the solution for the control problem have been considered.We approximate numerically the solution of the optimal control problem by solving the state system forward and adjoint system backward in time.Some numerical simulations are provided to validate the theoretical results.
机译：在本文中，基于抗血管生成和免疫细胞疗法的协同作用，对癌症治疗分数阶延迟微分模型的最佳控制问题。治理模型由十八个微分方程组成。结合了离散的时滞表示免疫系统与癌细胞相互作用所需的时间，并考虑分数阶衍生物在过程中的记忆和遗传性质中被认为是减少免疫疗法的控制变量和抗血管生成治疗，以减少癌细胞的负荷。已经考虑了保证对控制问题的解决方案的存在和唯一性的条件。我们通过在时间向后求解状态系统向前和伴随系统来估计最佳控制问题的解决方案。提供了数值模拟以验证理论结果。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号