T model of growth and its application in systems of tumor-immunedynamics
In this paper we introduce a new growth model called Tgrowth model. This model is capable of representing sigmoidal growth as wellas biphasic growth. This dual capability is achieved without introducingadditional parameters. The T model is useful in modeling cellularproliferation or regression of ca...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2013-03-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.925 |
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| Summary: | In this paper we introduce a new growth model called Tgrowth model. This model is capable of representing sigmoidal growth as wellas biphasic growth. This dual capability is achieved without introducingadditional parameters. The T model is useful in modeling cellularproliferation or regression of cancer cells, stem cells, bacterial growth anddrug dose-response relationships. We recommend usage of the T growth model forthe growth of tumors as part of any system of differential equations. Use ofthis model within a system will allow more flexibility in representing thenatural rate of tumor growth. For illustration, we examine some systems oftumor-immune interaction in which the T growth rate is applied. We also applythe model to a set of tumor growth data. |
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| ISSN: | 1551-0018 |