A mathematical model to study the role of dystrophin protein in tumor micro-environment
Abstract In this research work, the authors have developed a mathematical model to examine the interaction between dystrophin protein and tumor. The authors formulated a system of ordinary differential equations to describe the dynamics of the dystrophin-tumor interaction system. Jacobian matrix and...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-11-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-78800-w |
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| author | Ausif Padder Tafaz Ul Rahman Shah Afroz Afroz Aadil Mushtaq Anita Tomar |
| author_facet | Ausif Padder Tafaz Ul Rahman Shah Afroz Afroz Aadil Mushtaq Anita Tomar |
| author_sort | Ausif Padder |
| collection | DOAJ |
| description | Abstract In this research work, the authors have developed a mathematical model to examine the interaction between dystrophin protein and tumor. The authors formulated a system of ordinary differential equations to describe the dynamics of the dystrophin-tumor interaction system. Jacobian matrix and Routh–Hurwitz stability techniques were used to determine equilibrium points, perform stability and bifurcation analysis, and establish the conditions required for the stability of the proposed model. Numerical simulations are performed using Euler’s method to investigate the temporal evolution of the proposed model under different parameter values, such as tumor growth rate and feedback strength of dystrophin protein. The numerical results are presented in tables, and corresponding to each table, a graphical analysis is done. The graphical analysis includes creating phase portraits to visually represent stability regions around the equilibrium points, bifurcation diagrams to identify critical points, and time series analysis to highlight the behavior of the proposed model. The authors explore how variations in dystrophin expression impact tumor progression, identifying potential therapeutic implications of maintaining higher dystrophin levels. This comprehensive analysis enhances our understanding of the dystrophin-tumor interaction, providing a basis for further experimental validation and potential therapeutic strategies. |
| format | Article |
| id | doaj-art-9eb1616a57e14affbb43b6e2dd5e91de |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-9eb1616a57e14affbb43b6e2dd5e91de2025-08-20T03:18:32ZengNature PortfolioScientific Reports2045-23222024-11-0114111510.1038/s41598-024-78800-wA mathematical model to study the role of dystrophin protein in tumor micro-environmentAusif Padder0Tafaz Ul Rahman Shah1Afroz Afroz2Aadil Mushtaq3Anita Tomar4Symbiosis Institute of Technology, Hyderabad Campus, Symbiosis International (Deemed University)Department of Mathematics, Guru Nanak Institutions of Technical CampusDepartment of Mathematics, Maulana Azad National Urdu UniversityDepartment of Mathematics, School of Sciences, Malla Reddy UniversityPt. L. M. S. Campus, Sridev Suman Uttarakhand University, RishikeshAbstract In this research work, the authors have developed a mathematical model to examine the interaction between dystrophin protein and tumor. The authors formulated a system of ordinary differential equations to describe the dynamics of the dystrophin-tumor interaction system. Jacobian matrix and Routh–Hurwitz stability techniques were used to determine equilibrium points, perform stability and bifurcation analysis, and establish the conditions required for the stability of the proposed model. Numerical simulations are performed using Euler’s method to investigate the temporal evolution of the proposed model under different parameter values, such as tumor growth rate and feedback strength of dystrophin protein. The numerical results are presented in tables, and corresponding to each table, a graphical analysis is done. The graphical analysis includes creating phase portraits to visually represent stability regions around the equilibrium points, bifurcation diagrams to identify critical points, and time series analysis to highlight the behavior of the proposed model. The authors explore how variations in dystrophin expression impact tumor progression, identifying potential therapeutic implications of maintaining higher dystrophin levels. This comprehensive analysis enhances our understanding of the dystrophin-tumor interaction, providing a basis for further experimental validation and potential therapeutic strategies.https://doi.org/10.1038/s41598-024-78800-wDystrophin-tumor interactionDifferential equationsStabilityBifurcationNumerical simulation |
| spellingShingle | Ausif Padder Tafaz Ul Rahman Shah Afroz Afroz Aadil Mushtaq Anita Tomar A mathematical model to study the role of dystrophin protein in tumor micro-environment Scientific Reports Dystrophin-tumor interaction Differential equations Stability Bifurcation Numerical simulation |
| title | A mathematical model to study the role of dystrophin protein in tumor micro-environment |
| title_full | A mathematical model to study the role of dystrophin protein in tumor micro-environment |
| title_fullStr | A mathematical model to study the role of dystrophin protein in tumor micro-environment |
| title_full_unstemmed | A mathematical model to study the role of dystrophin protein in tumor micro-environment |
| title_short | A mathematical model to study the role of dystrophin protein in tumor micro-environment |
| title_sort | mathematical model to study the role of dystrophin protein in tumor micro environment |
| topic | Dystrophin-tumor interaction Differential equations Stability Bifurcation Numerical simulation |
| url | https://doi.org/10.1038/s41598-024-78800-w |
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