Scholarlink

<p>This study proposes a numerical approach to solve a mathematical model that predicts the response of chemotherapy drugs on a specific tumor patient. The mathematical model of chemotherapy response is governed by an intricate 1D partial differential equation (PDE). The model also contains some parameters such as concentration of the drug, carrying capacity, diffusion coefficient, and growth rate. The method successfully captures the complex temporal and spatial dynamics of tumor growth and degradation under the influence of drugs. A cubic trigonometric tension B-spline (CTTB-spline) collocation strategy has been used to solve the mathematical model. The method's efficacy and reliability have been demonstrated by the Von-Neumann stability and convergence analysis of the model. The method's exceptional precision and flexibility in managing boundary conditions, as well as its capacity to handle large-scale problems without being constrained by time steps, are illustrated by two examples. The results have been showcased in the form of numerical solutions and graphical representations. In short, the study aims to provide insight into mammary gland tumors in women to understand their growth and predict the cell count after chemotherapy or radiation therapy. Analyzing the growth and dispersion of malignant cells in healthy tissues is a fundamental aspect of establishing a foundation for tumor treatment.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Numerical approximation to predict neoadjuvant chemotherapy outcomes in cancer patients using trigonometric tension B-spline collocation

  • 期刊论文

  • 发表日期：

    2025年6月25日

查看全文
  • Neelam Rana,
  • Neeraj Dhiman,
  • Robin Singh,
  • Mohammad Tamsir,
  • Waleed Adel

摘要

This study proposes a numerical approach to solve a mathematical model that predicts the response of chemotherapy drugs on a specific tumor patient. The mathematical model of chemotherapy response is governed by an intricate 1D partial differential equation (PDE). The model also contains some parameters such as concentration of the drug, carrying capacity, diffusion coefficient, and growth rate. The method successfully captures the complex temporal and spatial dynamics of tumor growth and degradation under the influence of drugs. A cubic trigonometric tension B-spline (CTTB-spline) collocation strategy has been used to solve the mathematical model. The method's efficacy and reliability have been demonstrated by the Von-Neumann stability and convergence analysis of the model. The method's exceptional precision and flexibility in managing boundary conditions, as well as its capacity to handle large-scale problems without being constrained by time steps, are illustrated by two examples. The results have been showcased in the form of numerical solutions and graphical representations. In short, the study aims to provide insight into mammary gland tumors in women to understand their growth and predict the cell count after chemotherapy or radiation therapy. Analyzing the growth and dispersion of malignant cells in healthy tissues is a fundamental aspect of establishing a foundation for tumor treatment.