TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Enhance MRI images of lung cancer using hybrid transform 

,

* Corresponding author · click or hover a name for details

pp. 1897–1902Vol. 26Issue 7October 2023DOI: 10.47974/JDMSC-1682 Crossmark XML
Received:
06 Oct 2022
Published Online:
30 Oct 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1682
Pages:
1897–1902

Abstract

This paper presents a novel application called the rational valued cyclic characters group, which extensively utilizes fuzzy partial differential equations in medicine and engineering. Among adult malignancies, acute interstitial pneumonia represents approximately 6% of cases, making it the most prevalent malignancy among individuals under 20. In recent years, The use of mathematical models to supplement experimental biological models in cancer research has increased. This paper proposes a new approach to address these challenges by developing a method based on filtering and optimizing radiographic images of damaged cells and differentiating parameters. The method utilizes the newly introduced rational valued cyclic group characters and partial fuzzy transformation. Notably, the suggested transform demonstrates significantly enhanced intelligibility compared to the fuzzy partial Laplace transform. Furthermore, this approach facilitates the analysis and categorization of disease progression and its impact on a patient’s response to treatment.

Keywords

Subject Classifications

62H3562M40

References

[1] G. David, “Artin Exponent of Arbitrary Characters of Cyclic Subgroups”, Journal of Algebra, 61, pp. 58-76 (1976).      
[2] K. Yamauchi, “On The 2 - Parts Artin’s Exponent of Finite Groups”, Sci .Kep.Tokyo, Daigakenseet Alo, 234-240 (1970).   
[3] J. P. Serre, “Linear Representation of Finite Groups”, Springer- Verlage (1977).
[4] M. S. Kirdar, “The Factor Group of the Z-Valued Class Function Modulo the Group of The Generalized Characters” Ph. D. Thesis, University of Birmingham (1975).
[5] T. Y. Lam, “Artin Exponent of Finite Groups”, Columbia University, New York (1967).    
[6] Kadham, S. M., Alkiffai, A. N. : Model Tumor Response to Cancer Treatment Using Fuzzy Partial SH-Transform: An Analytic Study. International Journal of Mathematics and Computer Science, 18, no. 1, 23–28 (2022).
[7] Perez-Garc__a, V.M., Le_on-Triana, O., Rosa, M., P_erez-Mart__nez, A.: Car t cells for t-cell leukemias: Insights from mathematical models. Communications in Nonlinear Science and Numerical Simulation (2021).
[8] Preziosi, L. (ed.): Cancer Modelling and Simulation (Chapman & Hall/CRC Mathematical and Computational Biology). CRC Press (2003). DOI 10.1201/9780203494899.
[9] J. Albayda, I. Pinal-Fernandez, W. Huang, et al., Antinuclear matrix protein 2 autoantibodies and edema, muscle disease, and malignancy risk in dermatomyositis patients, Arthritis Care Res. 69, 1771–1776 (2017).
[10] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611. 
[11] Al-ogaili, H., & Shadhar, A. M. : The Finger Vein Recognition Using Deep Learning Technique. Wasit Journal of Computer and Mathematics Sciences, 1(2), 1-11 (2022). 

Views: 279Downloads: 7Citations: 0