Forecasting sensitive targets of the kynurenine pathway in pancreatic adenocarcinoma using mathematical modeling

Alahdal, Murad; Sun, Deshun; Li, Duan; Ouyang, Hongwei; Wang, Manyi; Xiong, Jianyi; Wang, Daping

doi:10.1111/cas.14832

Cited by 3 publications

(2 citation statements)

References 41 publications

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“…Similar to our previous research (25), extended Fourier Amplitude Sensitivity Test (EFAST) was adopted to search the sensitive parameters. The first order sensitivity index (S i ) and full order sensitivity index (S Ti ) are calculated by the following equations:…”

Section: Parameter Sensitivity Analysismentioning

confidence: 99%

Modeling the COVID-19 Epidemic With Multi-Population and Control Strategies in the United States

Sun

Long

Liu

2022

Front. Public Health

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As of January 19, 2021, the cumulative number of people infected with coronavirus disease-2019 (COVID-19) in the United States has reached 24,433,486, and the number is still rising. The outbreak of the COVID-19 epidemic has not only affected the development of the global economy but also seriously threatened the lives and health of human beings around the world. According to the transmission characteristics of COVID-19 in the population, this study established a theoretical differential equation mathematical model, estimated model parameters through epidemiological data, obtained accurate mathematical models, and adopted global sensitivity analysis methods to screen sensitive parameters that significantly affect the development of the epidemic. Based on the established precise mathematical model, we calculate the basic reproductive number of the epidemic, evaluate the transmission capacity of the COVID-19 epidemic, and predict the development trend of the epidemic. By analyzing the sensitivity of parameters and finding sensitive parameters, we can provide effective control strategies for epidemic prevention and control. After appropriate modifications, the model can also be used for mathematical modeling of epidemics in other countries or other infectious diseases.

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Section: Parameter Sensitivity Analysismentioning

confidence: 99%

Modeling the COVID-19 Epidemic With Multi-Population and Control Strategies in the United States

Sun

Long

Liu

2022

Front. Public Health

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“…In addition to the Notch signaling pathway mentioned above, in 2018, Frederik et al established a corresponding mathematical model based on the mechanism of WNT signaling pathway regulating adult hippocampal nerves, and revealed age-related changes in the nervous system of adult hippocampus (Ziebell et al, 2018;Alahdal et al, 2021). In 2019, Georgios et al used mathematical kinetic modeling to study that inflammatory signaling and WNT antagonist sFRP5 induce quiescent neural stem cells to regulate the maintenance and regeneration ability of stem cells in the aging brain (Kalamakis et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling and application of IL-1β/TNF signaling pathway in regulating chondrocyte apoptosis

Wang,

Liu,

Huang

et al. 2023

Front. Cell Dev. Biol.

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Introduction: Mathematical model can be used to model complex biological processes, and have shown potential in describing apoptosis in chondrocytes.Method: In order to investigate the regulatory mechanisms of TNF signaling pathway in regulating chondrocyte apoptosis, a fractional-order differential equation model is proposed to describe the dynamic behavior and mutual interaction of apoptosis-related genes under the activation of TNF signaling pathway. Compared with the traditional molecular biology techniques, the proposed mathematical modeling has advantages to providing a more comprehensive understanding of the regulatory mechanisms of TNF signaling pathway in chondrocyte apoptosis.Result: In this paper, differentially expressed genes induced by IL-1β in human chondrocyte apoptosis are screened using high-throughput sequencing. It is found that they were significantly enriched in the TNF signaling pathway. Therefore, a mathematical model of the TNF signaling pathway is built. Using real-time PCR experiments, mRNA data is measured and used to identify the model parameters, as well as the correlation coefficient. Finally, the sensitivity of the model parameters is discussed by using numerical simulation methods, which can be used to predict the effects of different interventions and explore the optimal intervention strategies for regulating chondrocyte apoptosis.Discussion: Therefore, fractional-order differential equation modeling plays an important role in understanding the regulatory mechanisms of TNF signaling pathway in chondrocyte apoptosis and its potential clinical applications.

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Recent advances in GPR35 pharmacology; 5-HIAA serotonin metabolite becomes a ligand

2023

Arch. Pharm. Res.

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Forecasting sensitive targets of the kynurenine pathway in pancreatic adenocarcinoma using mathematical modeling

Abstract: This is an open access article under the terms of the Creative Commons Attribution-NonCommercial License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes.

Cited by 3 publications

References 41 publications

Modeling the COVID-19 Epidemic With Multi-Population and Control Strategies in the United States

Modeling the COVID-19 Epidemic With Multi-Population and Control Strategies in the United States

Mathematical modeling and application of IL-1β/TNF signaling pathway in regulating chondrocyte apoptosis

Recent advances in GPR35 pharmacology; 5-HIAA serotonin metabolite becomes a ligand

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