A mathematical tumor growth model for exploring saturated response of M2 macrophages

Dehingia, Kaushik; Alharbi, Yamen; Pandey, Vikas

doi:10.1016/j.health.2024.100306

Cited by 5 publications

(1 citation statement)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The goal of the authors’ work is to use the Caputo and Caputo-Fabrizio fractional operators to explore the dynamics of a nutrient-plankton system 41 . The authors 42 investigate the function of M2 macrophages’ saturation response by addressing a tumormacrophage interaction model. The objective of the study conducted by the authors is to examine the effects of discrete-time delay on the immune response to tumor development, excess estrogen, and the source rate of immune cells in a model of breast cancer 43 .…”

Section: Introductionmentioning

confidence: 99%

Fractional order cancer model infection in human with CD8+ T cells and anti-PD-L1 therapy: simulations and control strategy

Nisar,

Kulachi,

Ahmad

et al. 2024

Sci Rep

View full text Add to dashboard Cite

In order to comprehend the dynamics of disease propagation within a society, mathematical formulations are essential. The purpose of this work is to investigate the diagnosis and treatment of lung cancer in persons with weakened immune systems by introducing cytokines ($$ IL_{2} \& IL_{12}$$ I L 2 & I L 12 ) and anti-PD-L1 inhibitors. To find the stable position of a recently built system TCD$$IL_{2} IL_{12}$$ I L 2 I L 12 Z, a qualitative and quantitative analysis are taken under sensitive parameters. Reliable bounded findings are ensured by examining the generated system’s boundedness, positivity, uniqueness, and local stability analysis, which are the crucial characteristics of epidemic models. The positive solutions with linear growth are shown to be verified by the global derivative, and the rate of impact across every sub-compartment is determined using Lipschitz criteria. Using Lyapunov functions with first derivative, the system’s global stability is examined in order to evaluate the combined effects of cytokines and anti-PD-L1 inhibitors on people with weakened immune systems. Reliability is achieved by employing the Mittag-Leffler kernel in conjunction with a fractal-fractional operator because FFO provide continuous monitoring of lung cancer in multidimensional way. The symptomatic and asymptomatic effects of lung cancer sickness are investigated using simulations in order to validate the relationship between anti-PD-L1 inhibitors, cytokines, and the immune system. Also, identify the actual state of lung cancer control with early diagnosis and therapy by introducing cytokines and anti-PD-L1 inhibitors, which aid in the patients’ production of anti-cancer cells. Investigating the transmission of illness and creating control methods based on our validated results will both benefit from this kind of research.

show abstract

Section: Introductionmentioning

confidence: 99%