TY - GEN
T1 - Optimal control of cellular uptake in tissue engineering
AU - Kishida, Masako
AU - Ford, Ashlee N.
AU - Pack, Daniel W.
AU - Braatz, Richard D.
PY - 2008
Y1 - 2008
N2 - The optimal control of a distributed parameter system with reaction, diffusion, and convection is investigated. The problem is motivated by tissue engineering where the control of the uptake of growth factors (signaling molecules) is required to spatially and temporally regulate cellular processes for the growth or regeneration of a tissue. Four approaches for solving the optimal control problem are compared: (i) basis function expansion, (ii) method of moments, (iii) internal model control, and (iv) model predictive control. This comparison suggests that these approaches should be combined to solve the optimal control problem for multiple spatial dimensions.
AB - The optimal control of a distributed parameter system with reaction, diffusion, and convection is investigated. The problem is motivated by tissue engineering where the control of the uptake of growth factors (signaling molecules) is required to spatially and temporally regulate cellular processes for the growth or regeneration of a tissue. Four approaches for solving the optimal control problem are compared: (i) basis function expansion, (ii) method of moments, (iii) internal model control, and (iv) model predictive control. This comparison suggests that these approaches should be combined to solve the optimal control problem for multiple spatial dimensions.
UR - http://www.scopus.com/inward/record.url?scp=52449121575&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=52449121575&partnerID=8YFLogxK
U2 - 10.1109/ACC.2008.4586805
DO - 10.1109/ACC.2008.4586805
M3 - Conference contribution
AN - SCOPUS:52449121575
SN - 9781424420797
T3 - Proceedings of the American Control Conference
SP - 2118
EP - 2123
BT - 2008 American Control Conference, ACC
T2 - 2008 American Control Conference, ACC
Y2 - 11 June 2008 through 13 June 2008
ER -