Bone metastasis treatment modeling via optimal control
From MaRDI portal
Publication:1738035
DOI10.1007/s00285-018-1281-3zbMath1410.37070OpenAlexW2888391717WikidataQ91071977 ScholiaQ91071977MaRDI QIDQ1738035
Publication date: 29 March 2019
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-018-1281-3
Dynamical systems in biology (37N25) Medical applications (general) (92C50) Control problems involving ordinary differential equations (34H05) Physiology (general) (92C30) Dynamical systems in control (37N35)
Related Items (6)
Measure Optimal Controls for Models Inspired by Biology ⋮ Optimal control for a bone metastasis with radiotherapy model using a linear objective functional ⋮ Dynamic modeling of bone remodeling, osteolytic metastasis and PK/PD therapy: introducing variable order derivatives as a simplification technique ⋮ Antigen receptor therapy in bone metastasis via optimal control for different human life stages ⋮ Modeling public health campaigns for sexually transmitted infections via optimal and feedback control ⋮ Modelling cystic echinococcosis and bovine cysticercosis co-infections with optimal control
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamic modeling of bone metastasis, microenvironment and therapy, Integrating parathyroid hormone (PTH) effect, anti-resorptive and anti-cancer therapy
- Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling
- A cellular automata model of bone formation
- An integrative model of prostate cancer interaction with the bone microenvironment
- Convergence of the forward-backward sweep method in optimal control
- Role of optimal control theory in cancer chemotherapy
- The dynamics of an optimally controlled tumor model: A case study
- Fluctuating periodic solutions and moment boundedness of a stochastic model for the bone remodeling process
- Fractionated follow-up chemotherapy delays the onset of resistance in bone metastatic prostate cancer
- Bone metastasis modeling based on the interactions between the BMU and tumor cells
- Optimal control of vaccination rate in an epidemiological model of \textit{Clostridium difficile} transmission
- Differential equations. Classical to controlled
- A fully anisotropic hierarchical hybrid cellular automaton algorithm to simulate bone remodeling
- Towards a new spatial representation of bone remodeling
- Modeling the interactions between osteoblast and osteoclast activities in bone remodeling
- Mathematical model of bone remodeling captures the antiresorptive and anabolic actions of various therapies
- Immune therapeutic strategies using optimal controls with \(L^{1}\) and \(L^{2}\) type objectives
- Advances in Cryptology - ASIACRYPT 2003
This page was built for publication: Bone metastasis treatment modeling via optimal control
