Research Article
Operational Mechanisms as a Reliable Tool for the Challenging Task of Differentiating Neoplasms
Issue:
Volume 14, Issue 3, June 2025
Pages:
101-106
Received:
5 April 2025
Accepted:
15 April 2025
Published:
29 May 2025
Abstract: In recent years, breast cancer has emerged as one of the most critical challenges in modern medicine and remains the leading cause of cancer-related mortality among women, with invasive ductal carcinoma representing the predominant histological subtype responsible for death. Early detection and precise molecular subtyping are essential for the timely initiation of targeted therapies, which significantly improve prognosis and clinical outcomes. When ductal carcinoma is identified at the receptor expression stage, the therapeutic landscape becomes more favorable, often allowing for effective intervention with minimal risk of remission. In this context, we employed a diagnostic pathway beginning with ultrasonographic screening, followed by mammographic imaging and culminating in histopathological confirmation. This approach was applied to a patient presenting to our clinic in 2024 with severe systemic symptoms, including a 15 kg weight loss over one month and marked general fatigue. The study outlines a comprehensive diagnostic algorithm implemented at the Diagnostic Department of the National Oncology Center. It provides a detailed exploration of the synergistic roles of Doppler ultrasonography and mammography in the stepwise differential diagnosis of ductal carcinoma of mammary gland. The diagnostic accuracy was enhanced via high-precision Doppler system optimized for directional sound wave propagation. Special consideration was given to the constant velocity of acoustic wave transmission through biological tissues and the impact of the beam-to-tissue angle (conicity) on Doppler frequency shifts. Following surgical excision of the neoplasm, receptor-targeted adjuvant therapy was promptly initiated to mitigate the risk of recurrence. The article concludes with strategic recommendations for future research directions aimed at refining diagnostic methodologies and improving personalized treatment strategies in ductal breast carcinoma.
Abstract: In recent years, breast cancer has emerged as one of the most critical challenges in modern medicine and remains the leading cause of cancer-related mortality among women, with invasive ductal carcinoma representing the predominant histological subtype responsible for death. Early detection and precise molecular subtyping are essential for the time...
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Research Article
A Deterministic Malaria Mathematical Model Focusing on Immunity, Reinfection, Antimalarial Drug Resistance, Aggressive Treatment and Awareness
Grace Maithya*,
Virginia Kitetu,
Isaac Okwany
Issue:
Volume 14, Issue 3, June 2025
Pages:
107-119
Received:
31 March 2025
Accepted:
16 April 2025
Published:
13 June 2025
DOI:
10.11648/j.acm.20251403.12
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Views:
Abstract: Malaria is one of the vector borne diseases which has affected peoples lives economically and has caused deaths across the globe. Therefore, we developed a malaria mathematical model which incorporated drug resistance, reinfection, immunity, aggressive treatment, and awareness on vector control. This comprehensive model has not been researched on well by the researchers, and it has therefore been discussed in this paper. This research will help us to make predictions about the effects of awareness on vector control, drug resistance, immunity, reinfections and aggressive treatment. By fitting the malaria model to the malaria data from the existing literature, important parameters associated with malaria dynamics are estimated and calculated. First, we analyzed the disease free equilibrium of the model and then we calculated the basic reproductive number. Sensitivity analysis was worked out to investigate the most influential parameters. Numerical simulations were done to explore the behavior of the malaria model which included; drug resistance, immunity, reinfection, aggressive treatment, and awareness on vector control. We found out that drug resistance, loss of immunity, reinfection and lack of sensitization increased malaria infections, and lowered the recoveries. Due to these, we did the control strategies which helped reduce the malaria infections and increase recoveries which include high immunity, awareness on vector control, aggressive treatment, and vector control. In conclusion, we found out that when all these control strategies are done at once, the malaria infections decreases, mosquitoes reduces and the recoveries increases. This study will be useful to the ministry of health and the government where they will make people aware on vector control strategies to reduce malaria infections. It will also help the health stake holders to come up with stronger and better antimalarial drugs and immune boosters to help weak immune population who become resistant to drugs.
Abstract: Malaria is one of the vector borne diseases which has affected peoples lives economically and has caused deaths across the globe. Therefore, we developed a malaria mathematical model which incorporated drug resistance, reinfection, immunity, aggressive treatment, and awareness on vector control. This comprehensive model has not been researched on w...
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Research Article
Mathematical Modelling and Analysis of the Non-Linear Multi-Layer Amperometric Biosensor with Degradation of Concentrations Derived by Analytical Expressions in Chemical Sciences
Issue:
Volume 14, Issue 3, June 2025
Pages:
164-182
Received:
14 May 2025
Accepted:
29 May 2025
Published:
18 June 2025
DOI:
10.11648/j.acm.20251403.14
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Abstract: A mathematical model has been developed to assess the multilayer heterogeneous biocatalytic system. A nonlinear system of the mathematical model's analytical expressions for the non-steady state conditions obtained by the new homotopy perturbation method (NHPM) has been computed. In the mathematical model, there are three scenarios: When the substrate degradation diffuses out of the biosensor, when the product diffuses for the biosensor and when both the substrate and product degradation diffuse for the biosensor. Profiles of how the substrate and product degradation rates do not affect the biosensor response have been created in three situations. The third situation is solved by the Akbari-Ganji method (AGM), which describes not effect of degradation rates' impact on the biosensor response. Furthermore, the numerical simulations of the problem are presented using MATLAB. These numerical results are compared with analytical results, and a good agreement is obtained. A graphical procedure is carried out for the degradation rates of species, kinetic parameters and current for steady and non-steady state conditions.
Abstract: A mathematical model has been developed to assess the multilayer heterogeneous biocatalytic system. A nonlinear system of the mathematical model's analytical expressions for the non-steady state conditions obtained by the new homotopy perturbation method (NHPM) has been computed. In the mathematical model, there are three scenarios: When the substr...
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,
Mahira Firudin Kizi Amirova*
and 
. Furthermore, under the rest state of the fluid motion, by studying moments 
of lower order 
, we establish a blow-up criterion of solution to system (1) with the help of the proof by contradiction.