Abstract: Disclosed herein are microfluidic systems with recirculation of fluid and computer-implemented methods of calculating conditions within the microfluidic systems. The microfluidic systems include a computing device and a microfluidic device having first and second reservoirs, at least one chamber, and a fluid path connecting the first reservoir, the chamber, and the second reservoir. The methods for calculating conditions include receiving a first reservoir fluid volume, a second reservoir fluid volume, a first concentration, and a second concentration. The methods further include receiving a time-dependent imposed pressure difference between the first reservoir and the second reservoir, then determining a hydraulic pressure difference and an effective pressure difference. The effective pressure difference is used to account for reactions occurring within the microfluidic device and to determine the value of the condition within the microfluidic device.

Abstract: Disclosed herein are microfluidic systems with recirculation of fluid and computer-implemented methods of calculating conditions within the microfluidic systems. The microfluidic systems include a computing device and a microfluidic device having first and second reservoirs, at least one chamber, and a fluid path connecting the first reservoir, the chamber, and the second reservoir. The methods for calculating conditions include receiving a first reservoir fluid volume, a second reservoir fluid volume, a first concentration, and a second concentration. The methods further include receiving a time-dependent imposed pressure difference between the first reservoir and the second reservoir, then determining a hydraulic pressure difference and an effective pressure difference. The effective pressure difference is used to account for reactions occurring within the microfluidic device and to determine the value of the condition within the microfluidic device.

Abstract: Disclosed herein are microfluidic systems with recirculation of fluid and computer-implemented methods of calculating conditions within the microfluidic systems. The microfluidic systems include a computing device and a microfluidic device having first and second reservoirs, at least one chamber, and a fluid path connecting the first reservoir, the chamber, and the second reservoir. The methods for calculating conditions include receiving a first reservoir fluid volume, a second reservoir fluid volume, a first concentration, and a second concentration. The methods further include receiving a time-dependent imposed pressure difference between the first reservoir and the second reservoir, then determining a hydraulic pressure difference and an effective pressure difference. The effective pressure difference is used to account for reactions occurring within the microfluidic device and to determine the value of the condition within the microfluidic device.

Abstract: Disclosed herein are microfluidic systems with recirculation of fluid and computer-implemented methods of calculating conditions within the microfluidic systems. The microfluidic systems include a computing device and a microfluidic device having first and second reservoirs, at least one chamber, and a fluid path connecting the first reservoir, the chamber, and the second reservoir. The methods for calculating conditions include receiving a first reservoir fluid volume, a second reservoir fluid volume, a first concentration, and a second concentration. The methods further include receiving a time-dependent imposed pressure difference between the first reservoir and the second reservoir, then determining a hydraulic pressure difference and an effective pressure difference. The effective pressure difference is used to account for reactions occurring within the microfluidic device and to determine the value of the condition within the microfluidic device.