Personalized Plasma Medicine for Cancer: Transforming Treatment Strategies with Mathematical Modeling and Machine Learning Approaches

VD Ramaswamy, M Keidar - Applied Sciences, 2023 - mdpi.com
Featured Application Complexity, heterogeneity, and treatment resistance of cancers create
challenges in achieving successful treatment outcomes. Personalized cold atmospheric …

Modeling tumor growth using fractal calculus: Insights into tumor dynamics

AK Golmankhaneh, S Tunç, AM Schlichtinger… - Biosystems, 2024 - Elsevier
Important concepts like fractal calculus and fractal analysis, the sum of squared residuals,
and Aikaike's information criterion must be thoroughly understood in order to correctly fit …

[HTML][HTML] The Layla and Majnun mathematical model of fractional order: stability analysis and numerical study

M Izadi, N Sene, W Adel, A El-Mesady - Results in Physics, 2023 - Elsevier
In this research paper, we investigate the numerical solutions of the nonlinear complex
Layla and Majnun fractional mathematical model, which describes the emotional behavior of …

A mathematical model with fractional-order dynamics for the combined treatment of metastatic colorectal cancer

D Amilo, K Sadri, B Kaymakamzade, E Hincal - … in Nonlinear Science and …, 2024 - Elsevier
Colorectal cancer (CRC) poses a significant global public health challenge as its prevalence
continues to increase. This study delves into the intricate dynamics of metastatic CRC by …

Applications of the generalized gamma function to a fractional-order biological system

AE Matouk - Heliyon, 2023 - cell.com
In this work, variety of complex dynamics are found in a fractional-order antimicrobial
resistance (AMR) model based on the generalized Gamma function. Firstly, the extended left …

Fractional optimal control model and bifurcation analysis of human syncytial respiratory virus transmission dynamics

M Awadalla, J Alahmadi, KR Cheneke, S Qureshi - Fractal and Fractional, 2024 - mdpi.com
In this paper, the Caputo-based fractional derivative optimal control model is looked at to
learn more about how the human respiratory syncytial virus (RSV) spreads. Model solution …

Recursive estimation algorithms based on the least squares and their convergence for a class of time-varying systems

N Xu, F Ding - Nonlinear Dynamics, 2023 - Springer
For the identification of time-varying systems, most traditional methods use various adaptive
factors to track the dynamic change, which have not taken the changing law of the time …

On a Fractal–Fractional-Based Modeling for Influenza and Its Analytical Results

H Khan, AH Rajpar, J Alzabut, M Aslam… - Qualitative Theory of …, 2024 - Springer
There have been reports of influenza virus resistance in the past, and because this virus has
the potential of resistance to cause several pandemics and also is lethal, we investigate the …

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

KS Nisar, M Farman, K Jamil, A Akgul, S Jamil - Plos one, 2024 - journals.plos.org
In this manuscript, we developed a nonlinear fractional order Ebola virus with a novel
piecewise hybrid technique to observe the dynamical transmission having eight …

[PDF][PDF] Employing CNPS and CPS approaches to calculate numerical roots of ninth-order linear and nonlinear boundary value problems

MS OSMAN - International Journal of Modern Physics C, 2024 - researchgate.net
2450121-1 h º 1= 10 and h º 1= 5. In order to gauge the accuracy of the methods, a
comparison is drawn between the outcomes and the exact solutions, which are then …