Dynamical analysis of tumor–dystrophin interaction model with impact of age of onset and staging.
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| Title: | Dynamical analysis of tumor–dystrophin interaction model with impact of age of onset and staging. |
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| Authors: | Padder, Ausif1 (AUTHOR) ausif121@gmail.com, Qureshi, Sania2,3 (AUTHOR) sania.qureshi@faculty.muet.edu.pk, Dubey, R. S.4 (AUTHOR) rag_pcw@yahoo.co.in, Rather, Mehraj ud Din5 (AUTHOR) mehrajphy1989@gmail.com, Afroz, Afroz6 (AUTHOR) afroz.ahmad@manuu.edu.in |
| Source: | Fixed Point Theory & Algorithms for Sciences & Engineering. 3/10/2025, Vol. 2025 Issue 1, p1-26. 26p. |
| Subjects: | Numerical functions, Biological mathematical modeling, Ordinary differential equations, Biomathematics, Age of onset |
| Abstract: | In this research work, the authors present a mathematical model to study the biological interplay between tumor growth, dystrophin protein, and the impact of age of onset and staging through a system of ordinary differential equations (ODEs). An area that has not been thoroughly explored in mathematical biology. Initially, a simplified model examines the interplay between dystrophin and tumor growth, with analytical and numerical solutions verifying stability at equilibrium points. Subsequently, a more intricate model factoring in the age of onset and staging is developed, and stability is again demonstrated via analytical and numerical methods. In the final phase, a three-dimensional model is introduced, and the Picard–Lindelof theorem confirms the existence and uniqueness of solutions. Stability analysis demonstrates conditional stability at the equilibrium points. The Lyapunov function is used for global stability analysis to confirm that the system follows a predictable, stabilizing trajectory rather than being chaotic or oscillatory. Numerical simulations, executed using the fourth-order Rung–Kutta method, support the analytical results numerically as well as graphically. [ABSTRACT FROM AUTHOR] |
| Copyright of Fixed Point Theory & Algorithms for Sciences & Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 183577707 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Dynamical analysis of tumor–dystrophin interaction model with impact of age of onset and staging. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Padder%2C+Ausif%22">Padder, Ausif</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ausif121@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Qureshi%2C+Sania%22">Qureshi, Sania</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> sania.qureshi@faculty.muet.edu.pk</i><br /><searchLink fieldCode="AR" term="%22Dubey%2C+R%2E+S%2E%22">Dubey, R. S.</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> rag_pcw@yahoo.co.in</i><br /><searchLink fieldCode="AR" term="%22Rather%2C+Mehraj+ud+Din%22">Rather, Mehraj ud Din</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> mehrajphy1989@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Afroz%2C+Afroz%22">Afroz, Afroz</searchLink><relatesTo>6</relatesTo> (AUTHOR)<i> afroz.ahmad@manuu.edu.in</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Fixed+Point+Theory+%26+Algorithms+for+Sciences+%26+Engineering%22">Fixed Point Theory & Algorithms for Sciences & Engineering</searchLink>. 3/10/2025, Vol. 2025 Issue 1, p1-26. 26p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+functions%22">Numerical functions</searchLink><br /><searchLink fieldCode="DE" term="%22Biological+mathematical+modeling%22">Biological mathematical modeling</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Biomathematics%22">Biomathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Age+of+onset%22">Age of onset</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this research work, the authors present a mathematical model to study the biological interplay between tumor growth, dystrophin protein, and the impact of age of onset and staging through a system of ordinary differential equations (ODEs). An area that has not been thoroughly explored in mathematical biology. Initially, a simplified model examines the interplay between dystrophin and tumor growth, with analytical and numerical solutions verifying stability at equilibrium points. Subsequently, a more intricate model factoring in the age of onset and staging is developed, and stability is again demonstrated via analytical and numerical methods. In the final phase, a three-dimensional model is introduced, and the Picard–Lindelof theorem confirms the existence and uniqueness of solutions. Stability analysis demonstrates conditional stability at the equilibrium points. The Lyapunov function is used for global stability analysis to confirm that the system follows a predictable, stabilizing trajectory rather than being chaotic or oscillatory. Numerical simulations, executed using the fourth-order Rung–Kutta method, support the analytical results numerically as well as graphically. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Fixed Point Theory & Algorithms for Sciences & Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1186/s13663-025-00786-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 26 StartPage: 1 Subjects: – SubjectFull: Numerical functions Type: general – SubjectFull: Biological mathematical modeling Type: general – SubjectFull: Ordinary differential equations Type: general – SubjectFull: Biomathematics Type: general – SubjectFull: Age of onset Type: general Titles: – TitleFull: Dynamical analysis of tumor–dystrophin interaction model with impact of age of onset and staging. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Padder, Ausif – PersonEntity: Name: NameFull: Qureshi, Sania – PersonEntity: Name: NameFull: Dubey, R. S. – PersonEntity: Name: NameFull: Rather, Mehraj ud Din – PersonEntity: Name: NameFull: Afroz, Afroz IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 03 Text: 3/10/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 27305422 Numbering: – Type: volume Value: 2025 – Type: issue Value: 1 Titles: – TitleFull: Fixed Point Theory & Algorithms for Sciences & Engineering Type: main |
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