Journal article 1298 views
Stochastic models of tumour development andrelated mesoscopic equations
Dmitri Finkelshtein ,
Martin Friesen,
Haralampos Hatzikirou,
Yuri Kondratiev,
Tyll Krueger,
Oleksandr Kutoviy
Interdisciplinary Studies of Complex Systems, Volume: 7, Pages: 5 - 85
Swansea University Author: Dmitri Finkelshtein
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Abstract
We consider different mathematical models inspired by the problems of medicine, in particular, the tumour growth and the related topics. We demonstrate how to starting from an individual-based (microscopic) description, which characterizes cells’ behaviour, derive the so-called kinetic (mesoscopic)...
Published in: | Interdisciplinary Studies of Complex Systems |
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ISSN: | 2307-4515 2307-4515 |
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2015
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URI: | https://cronfa.swan.ac.uk/Record/cronfa31246 |
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2016-11-25T13:31:28.7311523 v2 31246 2016-11-25 Stochastic models of tumour development andrelated mesoscopic equations 4dc251ebcd7a89a15b71c846cd0ddaaf 0000-0001-7136-9399 Dmitri Finkelshtein Dmitri Finkelshtein true false 2016-11-25 SMA We consider different mathematical models inspired by the problems of medicine, in particular, the tumour growth and the related topics. We demonstrate how to starting from an individual-based (microscopic) description, which characterizes cells’ behaviour, derive the so-called kinetic (mesoscopic) equations, which describe the approximate system density. Properties of the solutions to the mesoscopic equations (in particular, their long-time behaviour) reflect statistical characteristics of the whole system and demonstrate the corresponding dependence on the system parameters. Journal Article Interdisciplinary Studies of Complex Systems 7 5 85 2307-4515 2307-4515 31 12 2015 2015-12-31 http://iscs-journal.npu.edu.ua/article/view/56266/52444 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-11-25T13:31:28.7311523 2016-11-25T13:25:51.8588646 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Dmitri Finkelshtein 0000-0001-7136-9399 1 Martin Friesen 2 Haralampos Hatzikirou 3 Yuri Kondratiev 4 Tyll Krueger 5 Oleksandr Kutoviy 6 |
title |
Stochastic models of tumour development andrelated mesoscopic equations |
spellingShingle |
Stochastic models of tumour development andrelated mesoscopic equations Dmitri Finkelshtein |
title_short |
Stochastic models of tumour development andrelated mesoscopic equations |
title_full |
Stochastic models of tumour development andrelated mesoscopic equations |
title_fullStr |
Stochastic models of tumour development andrelated mesoscopic equations |
title_full_unstemmed |
Stochastic models of tumour development andrelated mesoscopic equations |
title_sort |
Stochastic models of tumour development andrelated mesoscopic equations |
author_id_str_mv |
4dc251ebcd7a89a15b71c846cd0ddaaf |
author_id_fullname_str_mv |
4dc251ebcd7a89a15b71c846cd0ddaaf_***_Dmitri Finkelshtein |
author |
Dmitri Finkelshtein |
author2 |
Dmitri Finkelshtein Martin Friesen Haralampos Hatzikirou Yuri Kondratiev Tyll Krueger Oleksandr Kutoviy |
format |
Journal article |
container_title |
Interdisciplinary Studies of Complex Systems |
container_volume |
7 |
container_start_page |
5 |
publishDate |
2015 |
institution |
Swansea University |
issn |
2307-4515 2307-4515 |
college_str |
Faculty of Science and Engineering |
hierarchytype |
|
hierarchy_top_id |
facultyofscienceandengineering |
hierarchy_top_title |
Faculty of Science and Engineering |
hierarchy_parent_id |
facultyofscienceandengineering |
hierarchy_parent_title |
Faculty of Science and Engineering |
department_str |
School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics |
url |
http://iscs-journal.npu.edu.ua/article/view/56266/52444 |
document_store_str |
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active_str |
0 |
description |
We consider different mathematical models inspired by the problems of medicine, in particular, the tumour growth and the related topics. We demonstrate how to starting from an individual-based (microscopic) description, which characterizes cells’ behaviour, derive the so-called kinetic (mesoscopic) equations, which describe the approximate system density. Properties of the solutions to the mesoscopic equations (in particular, their long-time behaviour) reflect statistical characteristics of the whole system and demonstrate the corresponding dependence on the system parameters. |
published_date |
2015-12-31T03:38:09Z |
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1763751692069765120 |
score |
11.016235 |