Time lag analysis of novel arithmetic modeling in breast cancer
In this paper, a mathematical model which considers population dynamics among infected and uninfected cancer tumor cells has been proposed. Delay differential equations have been utilized to demonstrate the framework to consider the periods of the cell cycle. We examine the steadiness of the framewo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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International Academy of Ecology and Environmental Sciences
2021-06-01
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| Series: | Computational Ecology and Software |
| Subjects: | |
| Online Access: | http://www.iaees.org/publications/journals/ces/articles/2021-11(2)/time-lag-analysis-of-novel-arithmetic-modeling.pdf |
| _version_ | 1831683111075708928 |
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| author | Kalyan Das Ranjith Kumar Pankaj Taneja M Lutfor Rahman |
| author_facet | Kalyan Das Ranjith Kumar Pankaj Taneja M Lutfor Rahman |
| author_sort | Kalyan Das |
| collection | DOAJ |
| description | In this paper, a mathematical model which considers population dynamics among infected and uninfected cancer tumor cells has been proposed. Delay differential equations have been utilized to demonstrate the framework to consider the periods of the cell cycle. We examine the steadiness of the framework and demonstrate a hypothesis dependent on the contention standard to decide the dependability of a fixed point and show that the solidness may rely upon the delay. We show hypothetically as well as through numerical results that periodic oscillations may arise through Hopf bifurcations. In this paper we study a stochastic model for the conduct of malignancy tumors, depicted by a stochastic differential condition with multiplicative noise term. We study the existence of the solution process, as well as its behavior in the framework of stochastic inclusion problems and long time behavior. |
| first_indexed | 2024-12-20T06:31:41Z |
| format | Article |
| id | doaj.art-6a2a6e1db6524400a8633dd6a35c980b |
| institution | Directory Open Access Journal |
| issn | 2220-721X 2220-721X |
| language | English |
| last_indexed | 2024-12-20T06:31:41Z |
| publishDate | 2021-06-01 |
| publisher | International Academy of Ecology and Environmental Sciences |
| record_format | Article |
| series | Computational Ecology and Software |
| spelling | doaj.art-6a2a6e1db6524400a8633dd6a35c980b2022-12-21T19:50:08ZengInternational Academy of Ecology and Environmental SciencesComputational Ecology and Software2220-721X2220-721X2021-06-011126982Time lag analysis of novel arithmetic modeling in breast cancerKalyan Das0Ranjith Kumar1Pankaj Taneja2M Lutfor Rahman3National Institute of Food Technology Entrepreneurship and Management, HSIIDC Industrial Estate, Kundli, Haryana, IndiaAnurag University, Hyderabad, Telangana, IndiaSharda University, Knowledge Park III , Greater Noida, Uttar Pradesh, IndiaInstitute of Statistical Research and Training, University of Dhaka, Dhaka 1000, BangladeshIn this paper, a mathematical model which considers population dynamics among infected and uninfected cancer tumor cells has been proposed. Delay differential equations have been utilized to demonstrate the framework to consider the periods of the cell cycle. We examine the steadiness of the framework and demonstrate a hypothesis dependent on the contention standard to decide the dependability of a fixed point and show that the solidness may rely upon the delay. We show hypothetically as well as through numerical results that periodic oscillations may arise through Hopf bifurcations. In this paper we study a stochastic model for the conduct of malignancy tumors, depicted by a stochastic differential condition with multiplicative noise term. We study the existence of the solution process, as well as its behavior in the framework of stochastic inclusion problems and long time behavior.http://www.iaees.org/publications/journals/ces/articles/2021-11(2)/time-lag-analysis-of-novel-arithmetic-modeling.pdfbreast cancertime lagstabilityhopf-bifurcationstochasticity |
| spellingShingle | Kalyan Das Ranjith Kumar Pankaj Taneja M Lutfor Rahman Time lag analysis of novel arithmetic modeling in breast cancer Computational Ecology and Software breast cancer time lag stability hopf-bifurcation stochasticity |
| title | Time lag analysis of novel arithmetic modeling in breast cancer |
| title_full | Time lag analysis of novel arithmetic modeling in breast cancer |
| title_fullStr | Time lag analysis of novel arithmetic modeling in breast cancer |
| title_full_unstemmed | Time lag analysis of novel arithmetic modeling in breast cancer |
| title_short | Time lag analysis of novel arithmetic modeling in breast cancer |
| title_sort | time lag analysis of novel arithmetic modeling in breast cancer |
| topic | breast cancer time lag stability hopf-bifurcation stochasticity |
| url | http://www.iaees.org/publications/journals/ces/articles/2021-11(2)/time-lag-analysis-of-novel-arithmetic-modeling.pdf |
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