血液学模型的统计特征和分数建模:用于免疫反应的应用
Kashif Ali Abro1,2, Abdon Atangana1
1Institute of Ground Water Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa.
Computer methods in biomechanics and biomedical engineering
|February 2, 2026
概括
分数计算模拟循环白细胞的度,以了解免疫反应. 这种数学方法有助于通过血液图分析检测血液凝结障碍和感染.
科学领域:
- 免疫学 免疫学 免疫学
- 数学生物学 数学生物学
- 生物物理学的生物物理.
背景情况:
- 白细胞通过增强炎症来调解对病原体的免疫反应.
- 了解循环白细胞的动态对于诊断各种健康状况至关重要.
研究的目的:
- 应用微分差运算符进行循环白细胞度的动态分析.
- 为了比较白细胞动态的数学模型与没有分化.
主要方法:
- 利用微分差运算符来建模白细胞度.
- 对于分化和非分化模型进行了数学研究.
- 进行了比较分析,考虑了白细胞生产的延迟.
主要成果:
- 开发了一种基于微积分计算的白细胞动态模型.
- 证明了分化对循环白细胞度的影响.
- 展示了分数和非分数模型之间的比较分析.
结论:
- 这项研究表明,血液图分析,包括分化和非分化白细胞度,可以反映出血液凝固障碍和感染.
- 分数微分运算符为分析免疫细胞动态提供了一个新的数学框架.
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