dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Čiegis, Remigijus | |
dc.date.accessioned | 2023-09-18T18:43:37Z | |
dc.date.available | 2023-09-18T18:43:37Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1392-5113 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/130980 | |
dc.description.abstract | The modified nonlocal feedback controller is used to control the production of drugs in a simple bioreactor. This bioreactor is based on the enzymatic conversion of substrate into the required product. The dynamics of this device is described by a system of two nonstationary nonlinear diffusion–convection–reaction equations. The analysis of the influence of the convection transport is one the aims of this paper. The control loop is defined using the relation, which shows how the amount of the drug produced in the bioreactor and delivered into a human body depends on the substrate concentration specified on the external boundary of the bioreactor. The system of PDEs is solved by using the finite volume and finite difference methods, the control loop parameters are defined from the analysis of stationary linearized equations. The second aim of this paper is to solve the inverse problem and to determine optimal boundary conditions. These results enable us to estimate the potential accuracy of the proposed devices. | eng |
dc.format | PDF | |
dc.format.extent | p. 626-638 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Index Copernicus | |
dc.relation.isreferencedby | ZMATH | |
dc.relation.isreferencedby | MathSciNet | |
dc.relation.isreferencedby | IEEE Xplore | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Chemical abstracts | |
dc.relation.isreferencedby | Scopus | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.source.uri | https://www.journals.vu.lt/nonlinear-analysis/article/view/12965/11794 | |
dc.source.uri | https://doi.org/10.15388/NA.2019.4.8 | |
dc.title | Numerical algorithms for solving the optimal control problem of simple bioreactors | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.accessRights | This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence,which permits unrestricted use, distribution, and reproduction in any medium, provided the original author andsource are credited. | |
dcterms.references | 14 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.institution | Vilniaus universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.vgtuprioritizedfields | FM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes | |
dc.subject.ltspecializations | L104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies | |
dc.subject.en | nonlocal delayed feedback control | |
dc.subject.en | numerical simulation | |
dc.subject.en | inverse problems | |
dc.subject.en | bioreactors | |
dcterms.sourcetitle | Nonlinear analysis: modelling and control | |
dc.description.issue | iss. 4 | |
dc.description.volume | vol. 24 | |
dc.publisher.name | Vilnius University Institute of Mathematics and Informatics | |
dc.publisher.city | Vilnius | |
dc.identifier.doi | 000473014400008 | |
dc.identifier.doi | 10.15388/NA.2019.4.8 | |
dc.identifier.elaba | 39434249 | |