Super useful conversions between volumes and lengths
- 1 m^3 = 1000 L
- 1 cm^3 = mL
- 1 mm^3 = uL
- 1 um^3 = fL
- 100 µm x 100 µm x 100 µm = 1 nL
- 100,000 nm^3 (50 nm tall cylinder with 50 nm diameter) = 0.1 aL
When we coat surfaces or particles with proteins we often wonder, ‘how long until the coating is done? ‘ In this 2009 paper we addressed the question directly. We soaked 100 nm polystyrene particles in 10% serum (about 6 mg/ml protein) for different periods of time, washed the particles to remove unbound protein, soluablized the…
Wright, E., Miller, J.J, Csorda, M.. Gosselin, A.R., Carter, J.A., McGrath, J.L., Latulippe, D.R., Roussie, J.A. (2020) Development of Isoporous Microslit Silicon Nitride Membranes for Sterile Filtration Applications Biotechnology & Bioengineering https://doi.org/10.1002/bit.27240 DesOrmeaux, J. P., Winans, J. D., Wayson, S. E., Gaborski, T. R. , Khire, T. S., Striemer, C. C., and McGrath, J. L….
One of the more useful formulas for our materials is Equation 1 in Chung et al., 2014 Lab on a Chip 14:2456-68 Assuming uniformly distributed pores in a planar (i.e. ultrathin) membrane, the relationship between pore radius r, porosity p, and the average spacing between pores, Lp-p is: Where the porosity is a number between…
Because of the non-linear dependence of volumetric flow rate on pore size … where t is the membrane thickness and r is the pore radius, large pores contribute disproportionately to the total flow through a membrane than small pores. The magnitude of this phenomenon can be appreciated by using the Dagan equation to calculate the…
Darcy’s Law relates the volumetric flow rate Q through a porous media in response to a pressure gradient . … Where is the intrinsic permeability of the media, is the fluid viscosity, L is the length of the media that fluid must travel through to exit, and A is the cross section normal to the…
Instantaneous Clearance: Kd CBi, and CBo are the concentration of solute in the blood at the input and output of the dialyser. CDi and CDo are the concentration of solute in the dialysate at the input and output. QBi, QBo, QDi, and QDo are the flow rates at the inputs and outputs. The volume of…