Mathematical model of interstitial intervention  with beta source for tumor therapy

GENG Jianhua1  CHEN Yingmao2  TIAN Jiahe2  CHEN Shengzu1 1

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Mathematical model of interstitial intervention with beta source for tumor therapy

更新时间：2021-03-12

- Mathematical model of interstitial intervention with beta source for tumor therapy
- NUCLEAR TECHNIQUES Issue 2, (2003)
- 作者机构：
  
  1. 中国协和医科大学肿瘤医院核医学科
  2. 中国人民解放军总医院核医学科
  3. 中国协和医科大学肿瘤医院核医学科,北京,100021
  4. ,北京,100853
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助(项目批号:30270408)
- DOI：
  CLC： R730.5
- Published：01 February 2003
- 稿件说明：
移动端阅览
[1]耿建华,陈英茂,田嘉禾,陈盛祖.肿瘤间质介入β核素治疗过程中的数学模型[J].核技术,2003(02):159-162.

GENG Jianhua1 CHEN Yingmao2 TIAN Jiahe2 CHEN Shengzu1 1. Mathematical model of interstitial intervention with beta source for tumor therapy[J]. Nuclear techniques, 2003, (2): 159-162.
[1]耿建华,陈英茂,田嘉禾,陈盛祖.肿瘤间质介入β核素治疗过程中的数学模型[J].核技术,2003(02):159-162. DOI：

GENG Jianhua1 CHEN Yingmao2 TIAN Jiahe2 CHEN Shengzu1 1. Mathematical model of interstitial intervention with beta source for tumor therapy[J]. Nuclear techniques, 2003, (2): 159-162. DOI：

摘要

为了给定量优化肿瘤间质介入放射性核素治疗方案提供理论依据。通过分析肿瘤间质介入核素治疗的全过程

对过程中的吸收剂量、剂量效应及疗效预测三个层次的数学模型进行理论探讨。给出了肿瘤组织中吸收剂量率及克隆源性细胞存活率的时空分布计算公式

并导出了肿瘤的控制概率计算公式。

Abstract

For the entire process of intervention tumor therapy through interstitial injection of -radionuclides

mathematical models were discussed in terms of absorbed dose distribution

dose effect relationship and tumor curability levels. The following mathematical formulae for the tumor therapy were recommended

which were based

respectively

1) radiation dose rate distribution in tumor volume

2)clonogenic cells survival fraction distribution in tumor and 3)tumor control probability. The mathematical formulae could be used as the basic theory in the tumor treatment planning for interstitial intervention with -radionuclides.

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