Table 1. Model parameters used in the simulations.
Parameter | Variable | Value |
Flow Rate (µL/min) | Q | 7.8 |
Device Height (µm) | H | 100 |
Device Width (µm) | w | 1500 |
Plasma Viscosity [12] (Pa.s) | μp | 0.001 |
Plasma Layer Position (µm) | yi | 49 |
Slip Coefficient [11] | slp | 0.1 |
Discharge Hematocrit | HD | 0.2 |
Plasma Layer Thickness (µm) | τ | 1 |
O2 Diffusivity in Plasma [11] (µm2/s) | Dp | 2750 |
O2 Solubility in RBCs [11] (µM/mmHg) | KRBC | 1.47 |
O2 Solubility in Plasma [11] (µM/mmHg) | Kp | 1.33 |
Total Heme Concentration [11] (µM) | [HbT] | 5350 |
Inlet PO2 (mmHg) | P0 | 150 |
O2 Permeable Membrane PO2 (mmHg) | Pb | 10 |
O2 Permeable Membrane Start Position (µm) | a | 7000 |
O2 Permeable Membrane End Position (µm) | b | 7700 |
Device Length (µm) | L | 14000 |
O2 Diffusivity in O2 Permeable Membrane (µm2/s) | Dm | 160000 |
O2 Solubility in O2 Permeable Membrane (µM/mmHg) | Km | 17.959 |
O2 Permeable Membrane Thickness (µm) | T | 100 |
Hill Coefficient [11] | N | 2.7 |
Partial Pressure at 50% Saturation [11] (mmHg) | P50 | 27 |
Minimum ATP Release Rate (µM/s) | Rmin | 0 |
Maximum ATP Release Rate (µM/s) | Rmax | 14 |
ATP Release Time (s) | td | 0 |
ATP Diffusivity in Plasma [16] (µm2/s) | DATP | 475 |
ATP/Luciferin Reaction Rate [8] (s−1) | kt | 0.1 |
Quantum Efficiency [8] | α | 0.88 |
Shutter Speed (s) | ts | 10 |
Pixel Surface Area* (µm2) | Apixel | 166.41 |
Plasma Attenuation Coefficient (µm−1) | κp | 0.1 |
Oxyhemoglobin Attenuation Coefficient** (µm−1) | κO2Hb | 0.040176 |
Hemoglobin Attenuation Coefficient** (µm−1) | κHb | 0.066261 |
Camera Efficiency* | η | 0.7 |
Full Well Capacity* (electrons) | FWC | 22000 |
Uits are given in the first column. One asterisk (*) indicates parameters taken from the specification of Qimaging's Rolera XR camera.
Two asterisks (**) indicates parameters calculated from tabulated molar extinction coefficients for hemoglobin in water at 560 nm; these values were compiled by Scott Prahl (prahl@ece.ogi.ed).