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Mathematical model of STAT signalling pathways in cancer development and optimal control approaches
Jonggul Lee1, Donggu Lee2, Yangjin Kim2,3,4
1Pierre Louis Institute of Epidemiology and Public Health, Paris 75012, France.
Abstract:
In various diseases, the STAT family display various cellular controls over various challenges faced by the immune system and cell death programs. In this study, we investigate how an intracellular signalling network (STAT1, STAT3, Bcl-2 and BAX) regulates important cellular states, either anti-apoptosis or apoptosis of cancer cells. We adapt a mathematical framework to illustrate how the signalling network can generate a bi-stability condition so that it will induce either apoptosis or anti-apoptosis status of tumour cells. Then, we use this model to develop several anti-tumour strategies including IFN-β infusion. The roles of JAK-STATs signalling in regulation of the cell death program in cancer cells and tumour growth are poorly understood. The mathematical model unveils the structure and functions of the intracellular signalling and cellular outcomes of the anti-tumour drugs in the presence of IFN-β and JAK stimuli. We identify the best injection order of IFN-β and DDP among many possible combinations, which may suggest better infusion strategies of multiple anti-cancer agents at clinics. We finally use an optimal control theory in order to maximize anti-tumour efficacy and minimize administrative costs. In particular, we minimize tumour volume and maximize the apoptotic potential by minimizing the Bcl-2 concentration and maximizing the BAX level while minimizing total injection amount of both IFN-β and JAK2 inhibitors (DDP).
Insights
This study models how the STAT signaling network controls cancer cell death, revealing bi-stability for apoptosis or anti-apoptosis. Mathematical insights inform novel anti-cancer strategies using IFN-β and DDP for improved tumor control.
Area of Science:
- Molecular Biology and Immunology
- Mathematical Modeling of Biological Systems
- Cancer Therapeutics
Background:
- The Signal Transducer and Activator of Transcription (STAT) family plays crucial roles in immune responses and cell death pathways.
- The precise mechanisms by which JAK-STAT signaling regulates cancer cell death and tumor growth remain incompletely understood.
- Understanding intracellular signaling networks is key to developing effective anti-cancer therapies.
Purpose of the Study:
- To investigate the role of the intracellular signaling network (STAT1, STAT3, Bcl-2, BAX) in regulating cancer cell apoptosis or anti-apoptosis.
- To develop a mathematical framework to model the bi-stability of this network and its impact on tumor cell fate.
- To design and optimize anti-tumor strategies, including combination therapies with IFN-β and JAK2 inhibitors (DDP).
Main Methods:
- Adaptation of a mathematical framework to model the STAT signaling network and its bi-stability.
- Development of anti-tumor strategies based on the mathematical model, including IFN-β infusion.
- Application of optimal control theory to maximize anti-tumor efficacy and minimize treatment costs.
Main Results:
- The mathematical model successfully illustrates how the STAT signaling network can achieve bi-stability, inducing either apoptosis or anti-apoptosis in tumor cells.
- The study identifies optimal administration sequences for IFN-β and DDP, suggesting improved clinical infusion strategies for combination anti-cancer agents.
- Optimization strategies were found to minimize tumor volume and maximize apoptotic potential by modulating Bcl-2 and BAX levels while reducing drug dosage.
Conclusions:
- The JAK-STAT signaling pathway is a critical regulator of cancer cell death programs and tumor growth.
- Mathematical modeling provides valuable insights into the complex intracellular signaling dynamics and the efficacy of anti-cancer drugs.
- This research offers a framework for optimizing combination therapy strategies to enhance anti-tumor efficacy and reduce treatment burden.
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