脑转移生长和对治疗的反应的数学建模:一篇综述
Beatriz Ocaña-Tienda1, Víctor M Pérez-García1
1Mathematical Oncology Laboratory (MOLAB), University of Castilla-La Mancha, Avda. Camilo José Cela s/n, 13071, Ciudad Real, Spain.
Mathematical biosciences
|May 17, 2024
概括
数学建模为大脑转移 (BMs) 提供了新的见解,这是最常见的大脑瘤. 本综述综合了当前的研究,以更好地了解BMs的生长和治疗反应.
科学领域:
- 在瘤学瘤学.
- 数学生物学 数学生物学
- 生物物理学的生物物理.
背景情况:
- 大脑转移 (BMs) 是一个重大的瘤挑战,影响10-30%的癌症患者.
- 大脑中的转移过程和病变生长仍然不完全理解.
- 癌症研究现有的数学模型还没有广泛地解决BMs.
研究的目的:
- 审查和巩固脑转移的数学建模方法.
- 培养一个统一的平台研究BMs.
- 提高对BMs生长动态和治疗反应的理解.
主要方法:
- 关于BMs的数学建模研究的全面文献综述.
- 从现有的数学模型中获得的洞察力的分析.
- 探索建模在预测治疗结果中的作用.
主要成果:
- 数学模型为癌症研究提供了有价值的推断和预测.
- 早期的BMs数学建模已经产生了重要的见解.
- 建模有助于理解瘤生长和对治疗的反应.
结论:
- 数学建模对于促进对大脑转移的理解至关重要.
- 这一审查为未来对BMs的数学研究奠定了基础.
- 建模可以改善BMs患者的临床决策.
相关概念视频
Pharmacodynamic Models: Overview
Pharmacodynamic (PD) responses describe the interaction between a drug and its biological target, culminating in a physiological effect. These responses can be classified into different types: continuous variables, such as blood glucose levels; categorical outcomes, like survival rates; and time-to-event metrics, such as disease progression. Understanding and modeling PD responses are critical for optimizing drug efficacy and safety.PD models describe the relationship between drug concentration...
Pharmacodynamic Models: Direct Effect Model and Indirect Response Model
Pharmacodynamic models are essential tools in understanding the relationship between drug concentrations and their effects on biological systems. By characterizing the dynamics of drug action, these models guide dose selection, optimize therapeutic efficacy, and inform the development of new drugs. Two major classes of pharmacodynamic models include direct effect and indirect response models.Direct Effect ModelsDirect effect models describe the immediate relationship between drug concentration...


