Spacing Optimization for Active Droplet Sorting in Microfluidic Networks Using Genetic Algorithm

Sankar, E. M. Arun; Shahab, Mohammad; Rengaswamy, Raghunathan

doi:10.1021/acs.iecr.0c04455

Cited by 8 publications

(6 citation statements)

References 41 publications

(70 reference statements)

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“…Algebraic manipulations used to combine Equations 7 and 9 with the network topology is given in our previous works. 6,12 These equations will have to be solved after every event.…”

Section: Calculation Of Pressures and Flow Ratesmentioning

confidence: 99%

“…

P_{0}

is a vector representing the known pressures, and

Q_{0}

is a vector representing the known flow rates. Algebraic manipulations used to combine Equations and with the network topology is given in our previous works 6,12 . These equations will have to be solved after every event.

G ([], \begin{array}{c} P_{node} \\ Q_{branch} \\ Q_{node} \end{array}) goodbreak= ([], \begin{array}{c} 0 \\ 0 \\ Q_{0} \\ P_{0} \end{array}) .

The matrix

G

has the following form:

G goodbreak= ([], \begin{array}{c} A & goodbreak- R_{R} & 0 \\ 0 & A^{T} & goodbreak- I \\ 0 & 0 & C \\ D & 0 & 0 \end{array}) .

…”

Section: Model Description and Algorithmmentioning

confidence: 99%

“…The operational variables are entry times of drops in the network and the outlet pressures. In our previous work, 12 we identified that manipulation of entry times of drops in a network could affect the route followed by the drops to exit. The entry times of drops are continuous variables.…”

Section: Introductionmentioning

confidence: 99%

“…GA was used in our prior work to identify entry times for sorting of two types of drops 12 . The schematic of GA is given on the left side of Figure 3.…”

Section: Introductionmentioning

confidence: 99%

“…GA was used in our prior work to identify entry times for sorting of two types of drops. 12 The schematic of GA is given on the left side of Figure 3. GA starts with an initial population of candidate solutions (in this context, the entry times).…”

Section: Introductionmentioning

confidence: 99%

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Droplet microfluidic networks as hybrid dynamical systems: Inlet spacing optimization for sorting of drops

Sankar

Rengaswamy

2022

AIChE Journal

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The ability to manipulate drops is essential for integrating multiple processes in droplet microfluidics‐based lab‐on‐a‐chip devices. Examples of such droplet manipulation operations include sorting, sequencing, synchronization, and so forth. Microfluidic networks are promising platforms for performing these functionalities. This work explores the design of entry times of drops, a set of operating parameters, in a microfluidic network to achieve a desired functionality. Here, we specifically focus on sorting of drops at the exit of the network. For the first time, droplet microfluidic networks are perceived as hybrid dynamical systems. This viewpoint allows us to develop a methodology for designing the entry times of drops in microfluidic networks to achieve desired functionalities through the notion of constraint satisfaction. The solution to this constraint satisfaction problem provides entry times that result in the desired functionality. The proposed method allows one to establish the existence/nonexistence of entry time solutions for a desired functionality.

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“…Algebraic manipulations used to combine Equations 7 and 9 with the network topology is given in our previous works. 6,12 These equations will have to be solved after every event.…”

Section: Calculation Of Pressures and Flow Ratesmentioning

confidence: 99%

“…

P_{0}

is a vector representing the known pressures, and

Q_{0}

G ([], \begin{array}{c} P_{node} \\ Q_{branch} \\ Q_{node} \end{array}) goodbreak= ([], \begin{array}{c} 0 \\ 0 \\ Q_{0} \\ P_{0} \end{array}) .

The matrix

G

has the following form:

G goodbreak= ([], \begin{array}{c} A & goodbreak- R_{R} & 0 \\ 0 & A^{T} & goodbreak- I \\ 0 & 0 & C \\ D & 0 & 0 \end{array}) .

…”

Section: Model Description and Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…GA was used in our prior work to identify entry times for sorting of two types of drops 12 . The schematic of GA is given on the left side of Figure 3.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations