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Tumor state transitions driven by Gaussian and non-Gaussian noises
Mengjiao Hua1, Yu Wu1,2,3
1Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province and Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China.
Mechanobiology in Medicine
|May 21, 2025
Summary
Tumor state transitions are analyzed using noise effects on stochastic basin stability. Enhancing negatively correlated and non-Gaussian noise is key for destabilizing excited states and improving cancer therapy efficacy.
Area of Science:
- Theoretical physics
- Biophysics
- Mathematical modeling
Background:
- Tumor progression involves state transitions between high and low cell concentration basins.
- Understanding noise-induced transitions is crucial for effective cancer therapy.
- Previous models often simplified noise characteristics, limiting applicability.
Purpose of the Study:
- Investigate tumor state transitions under Gaussian white and non-Gaussian colored noise.
- Analyze the impact of noise properties on stochastic basin stability.
- Determine optimal noise conditions for therapeutic efficacy.
Main Methods:
- Utilized most probable steady states (MPSS) for Gaussian white noise analysis.
- Employed first escape probability (FEP)-based stochastic basin of attraction (SBA) for non-Gaussian colored noise.
- Derived Markov system using unified colored noise approximation (UCNA).
- Analyzed stationary probability density function (SPDF) extremal controlling equation.
Main Results:
- Non-Gaussian colored noise, unlike Gaussian white noise, can influence transitions.
- Cross-correlated noises exhibit a dual role in regulating SBA.
- Increased SBA signifies greater difficulty in escaping the excited state, correlating with poorer therapeutic outcomes.
- Negatively correlated noise and longer non-Gaussian noise correlation times destabilize the excited basin.
Conclusions:
- Noise characteristics significantly impact tumor state transitions and therapeutic efficacy.
- Strategic manipulation of noise parameters, specifically enhancing negative correlations and non-Gaussian noise correlation time, is vital.
- Destabilizing the excited tumor state through optimized noise is essential for achieving better therapeutic results.
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