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Research Article
Zakieh Avazzadeh
Xi’an Jiaotong-Liverpool University
Corresponding Author
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This paper discusses the fractional order breast cancer competition model (F-BCCM), which considers population dynamics among cancer stem, tumor and healthy cells, as well as the effects of excess estrogen and the body’s natural immune response on the cell populations. Generalized shifted Legendre polynomials and their operational matrices are presented in the scope of a general procedure for the solution of the F-BCCM. The application of the Lagrange multipliers method transforms the F-BCCM into a system of algebraic equations. Additionally, the convergence analysis of the method and two illustrative numerical examples complement the study.
Mathematics Subject Classification: 97M60; 41A58; 92C42.
Keywords
Fractional order breast cancer competition model, Generalized shifted Legendre polynomials, Tumor cells, Excess strogen
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This preprint is available for download as a PDF.
No competing interests reported.
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This preprint is under consideration at Scientific Reports. A preprint is a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Learn more about In Review
Research Article
Zakieh Avazzadeh
Xi’an Jiaotong-Liverpool University
Corresponding Author
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
Peer Review Timeline
CURRENT STATUS: Under Review
Version 1
Posted 06 Mar, 2021
No community comments so far
Reviewer #5 agreed
On 12 Apr, 2021
Reviewer #1 agreed
On 12 Apr, 2021
Reviewer #4 agreed
On 12 Apr, 2021
Reviewer #3 agreed
On 12 Apr, 2021
Reviewers invited
Invitations sent on 12 Apr, 2021
Editor assigned
On 12 Apr, 2021
Editor invited
On 02 Mar, 2021
Submission checks complete
On 02 Mar, 2021
First submitted
On 01 Mar, 2021
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
Subject Areas
Mathematical and Theoretical Biology
License:
This work is licensed under a CC BY 4.0 License. Read Full License
This paper discusses the fractional order breast cancer competition model (F-BCCM), which considers population dynamics among cancer stem, tumor and healthy cells, as well as the effects of excess estrogen and the body’s natural immune response on the cell populations. Generalized shifted Legendre polynomials and their operational matrices are presented in the scope of a general procedure for the solution of the F-BCCM. The application of the Lagrange multipliers method transforms the F-BCCM into a system of algebraic equations. Additionally, the convergence analysis of the method and two illustrative numerical examples complement the study.
Mathematics Subject Classification: 97M60; 41A58; 92C42.
Figure 1
Figure 2
Figure 3
Figure 4
This preprint is available for download as a PDF.
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