Entropy control of stochastic processes described by stochastic Gompertz equation based on Fokker-Planck equation

DOI10.1016/j.ejcon.2019.05.004zbMath1425.93262OpenAlexW2944975616WikidataQ127816993 ScholiaQ127816993MaRDI QIDQ2335445

Gholamreza Latif-Shabgahi, Mahdi Afshar, Maliheh Sargolzaei

Publication date: 14 November 2019

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2019.05.004

zbMATH Keywords

Fokker-Planck equationShannon entropyentropy stabilitystochastic Gompertz model

Mathematics Subject Classification ID

Medical applications (general) (92C50) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Measures of information, entropy (94A17) Fokker-Planck equations (35Q84)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A stochastic Gompertz model highlighting internal and external therapy function for tumour growth
• Inference on a stochastic two-compartment model in tumor growth
• Towards fully probabilistic control design
• On a conjecture concerning population growth in random environment
• Combining Gompertzian growth and cell population dynamics
• A stochastic model in tumor growth
• A stochastic Gompertz model with logarithmic therapy functions: parameters estimation
• Estimating and determining the effect of a therapy on tumor dynamics by means of a modified Gompertz diffusion process
• On the effect of a therapy able to modify both the growth rates in a Gompertz stochastic model
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• Introduction to stochastic control theory
• Asymptotic distribution of (h, φ)-entropies
• Bounded stochastic distributions control for pseudo-ARMAX stochastic systems
• Parameter Estimation in a Gompertzian Stochastic Model for Tumor Growth
• Self-tuning regulators : non-parametric algorithms
• Minimum entropy control of non-Gaussian dynamic stochastic systems
• Dynamic response of cancer under the influence of immunological activity and therapy

This page was built for publication: Entropy control of stochastic processes described by stochastic Gompertz equation based on Fokker-Planck equation