一项关于与肺癌相关的分数瘤-免疫相互作用模型的研究,通过一般化的拉盖尔多项式来研究肺癌
Hossein Hassani1, Zakieh Avazzadeh2, Praveen Agarwal1
1Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India.
BMC medical research methodology
|August 22, 2023
概括
这项研究引入了肺癌的分数瘤-免疫相互作用模型,利用概括的拉格尔多项式来有效预测和分析癌症动态. 该方法对各种复杂微分方程具有前景.
科学领域:
- 数学建模的数学建模
- 计算瘤学是一种计算瘤学.
- 分数微积分的微积分计算.
背景情况:
- 癌症是一种复杂的疾病,由瘤与环境的相互作用驱动.
- 数学模型对于理解癌症的进展和治疗至关重要.
- 预测疾病动态需要强大的建模方法.
研究的目的:
- 为肺癌开发一个分数瘤免疫相互作用模型 (FTIIM-LC).
- 应用广义拉格尔多项式 (GLPs) 方法来获得最佳的解决方案.
- 通过数值模拟和与现有数据的比较来验证模型.
主要方法:
- 为肺癌开发一个分数瘤免疫相互作用模型.
- 用拉格朗奇乘法和运算矩阵应用广义拉格朗多项式 (GLPs) 方法.
- 数字模拟分析不同分数顺序的影响.
主要成果:
- 该GLPs方法为FTIIM-LC模型提供了一个有效的近似解决方案.
- 数字模拟证实了理论预测.
- 该模型准确地捕捉了肺癌相互作用的复杂动态.
结论:
- 提出的优化方法有效地预测和分析癌症建模中的复杂现象.
- 这种方法适用于其他非线性微分方程,包括分数扩散波和乳腺癌模型.
- 这项研究强调了微积分计算在癌症研究中的有用性.
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