Additions and corrections Modulation of fluidic resistance and capacitance or long-term, high-speed feedback control of a microfluidic interface |
YongTae Kim, Brandon Kuczenski, Philip R. LeDuc and William C. Messner
Lab Chip, 2009, 9, 2603–2609 (DOI: 10.1039/b822423d). Amendment published 2nd August 2010
The term variable fluidic capacitance should be replaced by variable steady-state volume of the fluidic network at zero pressure, since the capacitance of the fluid network is determined by the compliance of the materials of the fluidic network while the variable reservoir only changes the volume of the network. Thus the total capacitance Ct simply equals the capacitance of the network and contains no controllable term, i.e. Ct = C. This change has implications for equations (2), (5), and (6) of the analysis, but the form of final the result (6) does not change. The flow rate qCt includes a term for the time rate of change of the steady-state zero gauge volume, Vg, caused by the variable reservoir. Assuming the time rate of change of the capacitance Ct is negligible, equation (2) becomes:
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Carrying these changes forward through equations (5) and (6) gives
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The term Vg(θ) indicates that the variable volume depends on the motor shaft angle θ.
The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.