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ID KY-AA12318206-6101-18
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タイトル 数理医学的視点に依る腫瘍免疫応答の確率モデル : がん細胞に対する免疫作用と超過程の消滅性<数学・自然科学>
別タイトル
A Stochastic Model for Tumor Immune Response from the Standpoint of Mathematical Medicine : Immunomechanism against Cancer Cells and Extinction Property of Superprocesses
著者
道工, 勇 (DOKU, Isamu)
埼玉大学教育学部数学教育講座 (Department of Mathematics, Faculty of Education, Saitama University)
[出版社版]
出版者 埼玉大学教育学部
日付
出版年: 2012 - 2012
作成日: 2012-03-30
更新日: 2014-12-15
上位タイトル
埼玉大学紀要. 教育学部 (Journal of Saitama University. Faculty of Education). Vol.61, No.1  (2012. ) ,p.223- 232
抄録 The purpose of this paper is to construct a mathematical model to describe immunomechanism against cancer cells. Usually, the process of tumorigenesis proceeds after ordinary cells are transformed into irregular ones by some reasons. As for this, a group of immune cells starts immune response, which is called the host-defense mechanism against cancer. Our main concern is the immunomechanism during the transformation period and disorder proliferation period, and our principal characters are natural killer cells, cytotoxic T lymphocytes and macrophages. In this paper we are going to propose a stochastic model to describe the cytotoxicity of those effectors against cancer, analyze the model mathematically, and provide expository information for qualitative property of life scientific phenomena related to the immune response. We have succeeded in grasping immune capability as reflection of the extinction property of its limit process, based upon a mathematical model of branching particles. A peculiar feature of our model consists in its potential capability in describing effects of immune cells against cancer, which are distinct depending on the location.
キーワード
数理医学
腫瘍免疫
確率モデル
分枝粒子系
超過程
消滅性
Mathematical medicine,Tumor immunology
Random model
Branching particles
Superprocess
Extinction property
言語
jpn
資源タイプ text
ジャンル Departmental Bulletin Paper
Index
/ Public / 埼玉大学 / 教育学部
/ Public / ジャンル別 / 研究紀要 / 埼玉大学 / 教育学部紀要
/ Public / 主題別 / 数物系科学 / 数学 / 数学一般
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