Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas
type: Item
instance of: scholarly article
title: Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas
author: Clara Rojas Rodríguez
author: Gabriel Fernández Calvo
author: Ignacio Ramis-Conde
author: Juan Belmonte-Beitia
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-14T00:00:00Z
full work available at URL: http://hdl.handle.net/10578/28845
Mathematics Subject Classification ID: 93-XX
Mathematics Subject Classification ID: 92-XX
zbMATH DE Number: 7261047
zbMATH Keywords: tumor growth
zbMATH Keywords: optimal control
zbMATH Keywords: stochastic master equations
zbMATH Keywords: stability analysis
zbMATH Keywords: gliomas
zbMATH Keywords: chemotherapy
describes a project that uses: Ipopt
describes a project that uses: SOCS
MaRDI profile type: Publication
OpenAlex ID: W2586097603
cites work: Nonlinear waves in a simple model of high-grade glioma
cites work: A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
cites work: Stochastic Models for Structured Populations
cites work: Singular optimal control problems
cites work: Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics
cites work: Singular trajectories and their role in control theory
cites work: Stochastic processes in cell biology
cites work: Multiscale modelling of palisade formation in gliobastoma multiforme
cites work: Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls
cites work: On optimal delivery of combination therapy for tumors
cites work: On the role of physics in the growth and pattern formation of multi-cellular systems: what can we learn from individual-cell based models?
cites work: Q4101644
cites work: Branching Process Models of Cancer
cites work: Catalog of the optimal controls in cancer chemotherapy for the Gompertz model depending on PK/PD and the integral constraint
cites work: Q4086303
cites work: About a generalized model of lymphoma
cites work: The High Order Maximal Principle and Its Application to Singular Extremals
cites work: A review of optimal chemotherapy protocols: from MTD towards metronomic therapy
cites work: Drug resistance in cancer chemotherapy as an optimal control problem
cites work: Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy
cites work: Q3446096
cites work: Differential equations. Classical to controlled
cites work: Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications
cites work: Stochastic models of tumor growth and the probability of elimination by cytotoxic cells
cites work: Using Gene Expression Noise to Understand Gene Regulation
cites work: Q4904856
cites work: Q3285814
cites work: Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model
cites work: Geometric optimal control. Theory, methods and examples
cites work: Q3217972
cites work: On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
cites work: Dynamics of Cancer
DOI: 10.1016/J.CNSNS.2017.02.008
description: scientific article; zbMATH DE number 7261047