Automation of multilayered systems researches
DOI:
https://doi.org/10.31548/energiya2020.01.051Abstract
The article considers the issues of calculating and setting parameters of multilayer microbiological systems containing local concentrated discrete sources of temperature fields. As an object of research in the work, the considered multilayer, unlimited microbiological material subjected to local point thermal influence. The novelty of the author’s research is to take into account the specific features of the process of thermal action and the multilayer structure of microbiological material. The purpose of the research is to build physically justified computational mathematical models that describe the state of the research object, as well as to outline ways for the optimization process of a whole class of multilayer microbiological systems.
The author has constructed a calculated mathematical model of the process of point thermal action on a multilayer unlimited microbiological material. It should be noted that a feature of the object of study is that its state is described by a boundary-value problem for a system of non-stationary, inhomogeneous differential heat equations (a system with distributed parameters). This specificity significantly complicates the process of constructing the appropriate mathematical models for optimizing multilayer microbiological systems, as well as their use to improve the quality of the biotechnological process of dividing (cutting, segmentation) microbiological material.
In this regard, the author proposes to implement the procedure for solving a series of boundary value problems and ensuring an iterative process of searching for rational parameters of heat exposure on a specialized grid analog or hybrid model. This will allow at each iteration to significantly reduce the time it takes to solve a boundary value problem, which will make it possible to increase the accuracy of solving the entire problem of searching for parameters of the systems under consideration.
Key words: mathematical models, optimization, boundary value problem, analog model, hybrid model
References
Stoyan, Yu. G., Putyatin, V. P. (1988). Optimizaciya tekhnicheskih sistem s istochnikami fizicheskih poley [Optimization of technical systems with sources of physical fields]. Kyiv: Nauk. Dumka, 44-48.
Chubarov, E. P. (1985). Upravlenye systemamy s podvyzhnyimy ystochnykamy vozdeistvyia [Management of systems with mobile sources of impact]. Moskow: Enerhoatomyzdat, 288.
Douglas-Hamilton, D. H., Conia, J. (2001). Thermal effects in laser-assisted pre-embryo zona drilling. Journal of Biomedical Optics, 6, (2), 205.
https://doi.org/10.1117/1.1353796
Megel', Yu. E., Putyatin, V. P., Levkin, D. A., Levkin, A. V. (2017). Matematycheskoe modelyrovanye y optymyzatsyia parametrov deistvyia lazernoho lucha na mnogosloynyie biomaterialyi [Mathematical modeling and optimization of parameters of action of a laser beam on multilayered biomaterials]. Visnyk Natsionalnoho tekhnichnoho universytetu «KhPI». Zbirnyk naukovykh prats. Seriia: Mekhaniko-tekhnolohichni systemy ta kompleksy. Kh.: NTU «KhPI», 20 (1242), 60-64.
Makarov, A. A. (2014). Mnohotochechnaia kraevaia zadacha dlia psevdodyfferentsyalnyikh uravnenyi v polysloe [Multipoint boundary value problem for pseudodifferential equations in multilayer]. Visnyk Kharkivskoho natsionalnoho universytetu imeni V. N. Karazina. Seriia: Matematyka, prykladna matematyka i mekhanika, 69 (1120), 64-74.
Levkin, D. A. (2018). Adekvatnost raschetnoi matematycheskoi modely protsessa lazernoho vozdeistvyia na эmbryon [The adequacy of calculated mathematical model of an action process of a laser beam on an embryo]. Vcheni zapysky Tavriiskoho Natsionalnoho Universytetu imeni V.I. Vernadskoho. Seriia: Tekhnichni nauky, 29(68), 3, (1), 166-169.
Levkin, D. A. (2019). Matematycheskoe modelyrovanye i optymyzatsyia mnogosloinykh sistem [Mathematical modeling and optimization of multilayer systems]. Enerhetyka i avtomatyka. 1(41), 45-56.
Downloads
Published
Issue
Section
License
Relationship between right holders and users shall be governed by the terms of the license Creative Commons Attribution – non-commercial – Distribution On Same Conditions 4.0 international (CC BY-NC-SA 4.0):https://creativecommons.org/licenses/by-nc-sa/4.0/deed.uk
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
