Journal article 1256 views
Stochastic models of tumour development andrelated mesoscopic equations
Dmitri Finkelshtein 
,
Martin Friesen,
Haralampos Hatzikirou,
Yuri Kondratiev,
Tyll Krueger,
Oleksandr Kutoviy
,
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 |
| Published: |
2015
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa31246 |
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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) 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. |
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| College: |
Faculty of Science and Engineering |
| Start Page: |
5 |
| End Page: |
85 |