Scholarlink

<p>This manuscript illustrates a fractional-order mathematical model for prostate cancer (PC) growth under pulsed treatment, incorporating the effects of effector cell killing and competition between androgen-dependent (AD) and androgen-independent (AI) PC cells. We establish the existence and uniqueness of solutions using fixed-point theorems (Leray-Schauder and Banach) and investigate Ulam-Hyers stability to assess the model’s solution stability under the fractional order. Numerical results are obtained via the fractional Euler method for simulation of the model at various fractional orders. Graphical results illustrate the model’s dynamics, and the impact of key parameters, including the effector cell killing rate and inter-cell competition, is investigated. These findings provide insights into the complex interplay between treatment, immune response, and cancer cell dynamics, potentially informing therapeutic strategies for PC.</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

Fractional order modeling of prostate cancer with pulsed treatment and the impact of effector cell killing and cell competition

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年4月12日

查看全文
  • Hicham Saber,
  • Hussien Albala,
  • Tariq Aljaaidi,
  • Yousef Jawarneh,
  • Abdelkader Moumen,
  • Khaled Aldwoah

摘要

This manuscript illustrates a fractional-order mathematical model for prostate cancer (PC) growth under pulsed treatment, incorporating the effects of effector cell killing and competition between androgen-dependent (AD) and androgen-independent (AI) PC cells. We establish the existence and uniqueness of solutions using fixed-point theorems (Leray-Schauder and Banach) and investigate Ulam-Hyers stability to assess the model’s solution stability under the fractional order. Numerical results are obtained via the fractional Euler method for simulation of the model at various fractional orders. Graphical results illustrate the model’s dynamics, and the impact of key parameters, including the effector cell killing rate and inter-cell competition, is investigated. These findings provide insights into the complex interplay between treatment, immune response, and cancer cell dynamics, potentially informing therapeutic strategies for PC.