Optimal switching time control of the hyperbaric oxygen therapy for a chronic wound

DOI10.3934/MBE.2019419zbMath1470.92162OpenAlexW2973560318WikidataQ91168158 ScholiaQ91168158MaRDI QIDQ2045600

Dan Zhu, Qinfang Qian

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019419

zbMATH Keywords

optimal controlpartial differential equationshyperbaric oxygen therapychronic woundstime-scaling transformation approach

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Unnamed Item
• Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds
• Computational approaches to solving equations arising from wound healing
• Computational optimal control of 1D colloid transport by solute gradients in dead-end micro-channels
• Investigating a simple model of cutaneous wound healing angiogenesis
• Optimal control problems with multiple characteristic time points in the objective and constraints

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