Control of tumor growth distributions through kinetic methods
From MaRDI portal
Publication:2659873
DOI10.1016/j.jtbi.2021.110579zbMath1460.92057arXiv2006.06249OpenAlexW3119073044MaRDI QIDQ2659873
Luigi Preziosi, Mattia Zanella, Giuseppe Toscani
Publication date: 29 March 2021
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.06249
Feedback control (93B52) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) PDEs in connection with control and optimization (35Q93) Fokker-Planck equations (35Q84) Pathology, pathophysiology (92C32)
Related Items
Relativistic kinetic theory of polyatomic gases: classical limit of a new hierarchy of moments and qualitative analysis ⋮ A kinetic description of individual wealth growth and control ⋮ On the optimal control of kinetic epidemic models with uncertain social features ⋮ A kinetic description of the body size distribution of species ⋮ A statistical mechanics approach to describe cell reorientation under stretch ⋮ Control of tumor growth modeled by system of PDE, numerical analysis of optimality conditions ⋮ Tumour growth control: analysis of alternative approaches ⋮ Boltzmann-type equations for multi-agent systems with label switching ⋮ Model of drug delivery to populations composed of two cell types ⋮ On a class of Fokker-Planck equations with subcritical confinement
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A comparison and catalog of intrinsic tumor growth models
- Performance bounds for the mean-field limit of constrained dynamics
- Kinetic models of opinion formation
- Kinetic description of optimal control problems and applications to opinion consensus
- Mathematical modeling of collective behavior in socio-economic and life sciences
- Prediction of traveling front behavior in a lattice-gas cellular automaton model for tumor invasion
- A stochastic Gompertz birth-death process
- Diffusion approximations for models of population growth with logarithmic interactions
- The Boltzmann equation and its applications
- On a conjecture concerning population growth in random environment
- Tumor growth \textit{in vivo} and as multicellular spheroids compared by mathematical models
- Mean-field games and model predictive control
- Mean field mutation dynamics and the continuous Luria-Delbrück distribution
- Somatic mosaicism and cancer: inference based on a conditional Luria-Delbrück distribution
- A stochastic model in tumor growth
- Kinetic modeling of alcohol consumption
- Optimal control for mathematical models of cancer therapies. An application of geometric methods
- A kinetic description of mutation processes in bacteria
- Modeling complex living systems. A kinetic theory and stochastic game approach.
- A survey of models for tumor-immune system dynamics
- An introduction to Monte Carlo method for the Boltzmann equation
- Dynamics of Cancer
- Mean-field sparse optimal control
- Boltzmann-type control of opinion consensus through leaders
- Fokker–Planck equations in the modeling of socio-economic phenomena
- Birth-and-death processes, and the theory of carcinogenesis
- Social climbing and Amoroso distribution
- Mathematical Models of Avascular Tumor Growth
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems
- Prospect Theory: An Analysis of Decision under Risk
- Zipf's Law for Cities: An Explanation
- CELLULAR AUTOMATON MODELS OF TUMOR DEVELOPMENT: A CRITICAL REVIEW
- Call center service times are lognormal: A Fokker–Planck description
- Human behavior and lognormal distribution. A kinetic description
- Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution
- Mean Field Games and Mean Field Type Control Theory
- A physical basis for the generalized gamma distribution
- A Generalization of the Gamma Distribution
