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 …

A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials

H Hassani, Z Avazzadeh, P Agarwal, S Mehrabi… - BMC medical research …, 2023 - Springer
Background Cancer, a complex and deadly health concern today, is characterized by
forming potentially malignant tumors or cancer cells. The dynamic interaction between these …

An efficient approximate analytical technique for the fractional model describing the solid tumor invasion

HB Chethan, R Saadeh, DG Prakasha, A Qazza… - Frontiers in …, 2024 - frontiersin.org
In this manuscript, we derive and examine the analytical solution for the solid tumor invasion
model of fractional order. The main aim of this work is to formulate a solid tumor invasion …

Computational analysis of multi-layered Navier–Stokes system by Atangana–Baleanu derivative

AM Alqahtani, A Shukla - Applied Mathematics in Science and …, 2024 - Taylor & Francis
In our present paper, we have employed the Atangana–Baleanu derivative in the multi-
layered Navier–Stokes condition to analyse the nature of the flow. Actually, the stream, the …

Mathematical modeling and control of lung cancer with IL2 cytokine and anti-PD-L1 inhibitor effects for low immune individuals

A Ahmad, MO Kulachi, M Farman, MD Junjua… - Plos one, 2024 - journals.plos.org
Mathematical formulations are crucial in understanding the dynamics of disease spread
within a community. The aim of this work is to examine that the Lung Cancer detection and …

Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels

SAM Alsallami, M Maneea, EM Khalil… - Scientific Reports, 2023 - nature.com
In the realm of nonlinear dynamics, the Belousov-Zhabotinsky reaction system has long held
the fascination of researchers. The Belousov-Zhabotinsky system continues to be an active …

[HTML][HTML] Analysis of immunotherapeutic control of the TH1/TH2 imbalance in a 4D melanoma model applying the invariant compact set localization method

MA Gómez-Guzmán, E Inzunza-González… - Alexandria Engineering …, 2024 - Elsevier
This paper evaluates the nonlinear dynamics of a melanoma cancer model through the
iterative technique of finding compact invariant sets (LMCIS). The objective is to discover …

An analytical approach to the stability conditions of a new class of fractional-order control systems by the Lambert-Tsallis function

IR Sousa, KZ Nóbrega, GA Barreto - IEEE Access, 2024 - ieeexplore.ieee.org
This paper introduces a novel framework for the stability analysis of fractional-order control
systems with closed-loop characteristic equations in the form of any trinomial given by, with …

A fractional model of tumor growth with a free boundary

S Esmaili, MH Heydari, M Razzaghi - Journal of Applied Mathematics and …, 2024 - Springer
In this investigation, a model of tumor growth with a free boundary is studied. In this model,
the mutations of tumor cells, which lead to heterogeneous tumors, are considered. An …

Fractional Derivatives with Applications: A Review

F Shafiq, M Malik - Mathematical Sciences and Applications, 2023 - msa.wum.edu.pk
This paper presents a review of brief introduction to fractional calculus with the definitions of
fractional derivatives and operators. Its properties and useful mathematical functions are …