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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| Format: | Article |
| Language: | English |
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AIMS Press
2013-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.925 |
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| author | Mohammad A. Tabatabai Wayne M. Eby Karan P. Singh Sejong Bae |
| author_facet | Mohammad A. Tabatabai Wayne M. Eby Karan P. Singh Sejong Bae |
| author_sort | Mohammad A. Tabatabai |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a0d0578068b84461a58e5bdb23677cc2 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a0d0578068b84461a58e5bdb23677cc22025-01-24T02:26:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-03-0110392593810.3934/mbe.2013.10.925T model of growth and its application in systems of tumor-immunedynamicsMohammad A. Tabatabai0Wayne M. Eby1Karan P. Singh2Sejong Bae3Department of Mathematical Sciences, Cameron University, Lawton, OK 73505Department of Mathematical Sciences, Cameron University, Lawton, OK 73505Department of Mathematical Sciences, Cameron University, Lawton, OK 73505Department of Mathematical Sciences, Cameron University, Lawton, OK 73505In 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.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.925tumor-immune dynamicsgrowth modelsrnainterference. |
| spellingShingle | Mohammad A. Tabatabai Wayne M. Eby Karan P. Singh Sejong Bae T model of growth and its application in systems of tumor-immunedynamics Mathematical Biosciences and Engineering tumor-immune dynamics growth models rnainterference. |
| title | T model of growth and its application in systems of tumor-immunedynamics |
| title_full | T model of growth and its application in systems of tumor-immunedynamics |
| title_fullStr | T model of growth and its application in systems of tumor-immunedynamics |
| title_full_unstemmed | T model of growth and its application in systems of tumor-immunedynamics |
| title_short | T model of growth and its application in systems of tumor-immunedynamics |
| title_sort | t model of growth and its application in systems of tumor immunedynamics |
| topic | tumor-immune dynamics growth models rnainterference. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.925 |
| work_keys_str_mv | AT mohammadatabatabai tmodelofgrowthanditsapplicationinsystemsoftumorimmunedynamics AT waynemeby tmodelofgrowthanditsapplicationinsystemsoftumorimmunedynamics AT karanpsingh tmodelofgrowthanditsapplicationinsystemsoftumorimmunedynamics AT sejongbae tmodelofgrowthanditsapplicationinsystemsoftumorimmunedynamics |