Optimal control of one-dimensional cellular uptake in tissue engineering
A control problem motivated by tissue engineering is formulated and solved, in which control of the uptake of growth factors (signaling molecules) is necessary to spatially and temporally regulate cellular processes for the desired growth or regeneration of a tissue. Four approaches are compared for...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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Wiley Blackwell
2016
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| Online Access: | http://hdl.handle.net/1721.1/101163 https://orcid.org/0000-0003-4304-3484 |
| _version_ | 1826200851513868288 |
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| author | Kishida, Masako Ford Versypt, Ashlee N. Pack, Daniel W. Braatz, Richard D. |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Kishida, Masako Ford Versypt, Ashlee N. Pack, Daniel W. Braatz, Richard D. |
| author_sort | Kishida, Masako |
| collection | MIT |
| description | A control problem motivated by tissue engineering is formulated and solved, in which control of the uptake of growth factors (signaling molecules) is necessary to spatially and temporally regulate cellular processes for the desired growth or regeneration of a tissue. Four approaches are compared for determining one-dimensional optimal boundary control trajectories for a distributed parameter model with reaction, diffusion, and convection: (i) basis function expansion, (ii) method of moments, (iii) internal model control, and (iv) model predictive control (MPC). The proposed method of moments approach is computationally efficient while enforcing a nonnegativity constraint on the control input. Although more computationally expensive than methods (i)–(iii), the MPC formulation significantly reduced the computational cost compared with simultaneous optimization of the entire control trajectory. A comparison of the pros and cons of each of the four approaches suggests that an algorithm that combines multiple approaches is most promising for solving the optimal control problem for multiple spatial dimensions. |
| first_indexed | 2024-09-23T11:42:44Z |
| format | Article |
| id | mit-1721.1/101163 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:42:44Z |
| publishDate | 2016 |
| publisher | Wiley Blackwell |
| record_format | dspace |
| spelling | mit-1721.1/1011632022-09-27T21:24:28Z Optimal control of one-dimensional cellular uptake in tissue engineering Kishida, Masako Ford Versypt, Ashlee N. Pack, Daniel W. Braatz, Richard D. Massachusetts Institute of Technology. Department of Chemical Engineering Kishida, Masako Braatz, Richard D. A control problem motivated by tissue engineering is formulated and solved, in which control of the uptake of growth factors (signaling molecules) is necessary to spatially and temporally regulate cellular processes for the desired growth or regeneration of a tissue. Four approaches are compared for determining one-dimensional optimal boundary control trajectories for a distributed parameter model with reaction, diffusion, and convection: (i) basis function expansion, (ii) method of moments, (iii) internal model control, and (iv) model predictive control (MPC). The proposed method of moments approach is computationally efficient while enforcing a nonnegativity constraint on the control input. Although more computationally expensive than methods (i)–(iii), the MPC formulation significantly reduced the computational cost compared with simultaneous optimization of the entire control trajectory. A comparison of the pros and cons of each of the four approaches suggests that an algorithm that combines multiple approaches is most promising for solving the optimal control problem for multiple spatial dimensions. National Institutes of Health (U.S.) (NIBIB 5RO1EB005181) United States. Dept. of Energy (Computational Science Graduate Fellowship) Institute for Advanced Computing Applications and Technologies 2016-02-11T03:24:37Z 2016-02-11T03:24:37Z 2012-08 2012-03 Article http://purl.org/eprint/type/JournalArticle 01432087 1099-1514 http://hdl.handle.net/1721.1/101163 Kishida, Masako, Ashlee N. Ford Versypt, Daniel W. Pack, and Richard D. Braatz. “Optimal Control of One-Dimensional Cellular Uptake in Tissue Engineering.” Optim. Control Appl. Meth. 34, no. 6 (August 23, 2012): 680–695. https://orcid.org/0000-0003-4304-3484 en_US http://dx.doi.org/10.1002/oca.2047 Optimal Control Applications and Methods Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Wiley Blackwell PMC |
| spellingShingle | Kishida, Masako Ford Versypt, Ashlee N. Pack, Daniel W. Braatz, Richard D. Optimal control of one-dimensional cellular uptake in tissue engineering |
| title | Optimal control of one-dimensional cellular uptake in tissue engineering |
| title_full | Optimal control of one-dimensional cellular uptake in tissue engineering |
| title_fullStr | Optimal control of one-dimensional cellular uptake in tissue engineering |
| title_full_unstemmed | Optimal control of one-dimensional cellular uptake in tissue engineering |
| title_short | Optimal control of one-dimensional cellular uptake in tissue engineering |
| title_sort | optimal control of one dimensional cellular uptake in tissue engineering |
| url | http://hdl.handle.net/1721.1/101163 https://orcid.org/0000-0003-4304-3484 |
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