胶乳微球的方程式

K. Settling velocity (in the centrifuge) L. Settling time
% CV =
SD d
x 100
M.
Surface
saturation
(protein)
where:
% CV =
% coefficient of variation (size distribution of
BEADS
A B O V E T H E R E S T™
ent of variation (size)
area (surfaCcoencthearngtesdensity)
H. # Charge groups / microsphere
I. Settling velocity (speBc.ify m%eCdoiuemff)icient of Variation (Size Distribution of the Microsphere J. Settling velocity (in water)Population)
III. Sample Values
the microsph源自文库re population) SD = standard deviation (µm)* (Note: Standard deviation is
IV. References
not provided for all products.) d = mean diameter (µm)*
room temperature
M. Surface Saturation (Protein)
6
S=
•C
ρS d
where: S = amount of representative protein required to achieve
surface saturation (mg protein/g microspheres) ρS = density of solid sphere (g/cm3)* d = mean diameter (µm)*
I. Introduction II. Equations
A. Solids Content B. % Coefficient of Variation (Size Distribution of Microsphere Population) C. # Microspheres/Gram D. # Microspheres/mL E. Surface Area/Gram F. Surface Area/mL G. Parking Area (Surface Charge Density) H. # Charge Groups/Microsphere I. Settling Velocity (Specify Medium) J. Settling Velocity (In Water) K. Settling Velocity (In the Centrifuge) L. Settling Time M. Surface Saturation (Protein) III. Sample Values IV. References
room temperature under the influence of normal
gravitational force (1G) Vch5% = hindered settling velocity in the centrifuge (cm/sec) for a 5% w/w suspension of microspheres settling in water at
C = capacity of microsphere surface for a given protein (mg protein/m2 of sphere surface)
I. Settling Velocity (Specify Medium)
1
10-6
v = 18 d2 (ρS - ρ0) h G
D. # Microspheres/mL*
N=
6 x 1010 • S • ρL
π • ρS • d3
where: N =
S =
ρL = ρL = ρS = d =
# microspheres/mL for suspensions in water* weight % solids (for 10% solids suspension, S=10)* density of microsphere suspension (g/mL)* 100 • ρS / [S (1-ρS) + (100 • ρS)] density of solid sphere (g/cm3)* mean diameter (µm)*
H. # Charge Groups / Microsphere
CM =
π • d2 • 108 P
where:
CM = d=
P=
# charge groups / microsphere mean diameter (µm)* parking area (Å2)*
where: t = settling time (sec)
TechNote 206
Equations
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Notes: a. C ~ 3 mg/m2 for BSA [MW 65kD], C ~ 2.5 mg/m2 for bovine IgG [MW 150kd].1 b. See Tech Note 204, Adsorption to Microspheres, and TechNote 205, Covalent Coupling, for more detailed information.
C. # Microspheres/Gram*
6 x 1012 N=
π • ρS • d3
where: N =
ρS = d =
# microspheres/gram for dry powders* density of solid sphere (g/cm3)* mean diameter (µm)*
Bangs Laboratories, Inc. TechNote 206
Rev. #005, Active: 19/March/2013
<< COPY >>
Page 1 of 2
TECH NOTE 206
G. Parking Area (Surface Charge Density)*
1 P=
J. Settling Velocity (In Water)
Vm = 5.448 x 10-5 • (ρS - 1) • d2
where: Vm =
ρS = d =
maximum settling velocity (cm/sec) for a single microsphere settling in water at room temperature under the influence of normal gravitational force (1G) density of solid sphere (g/cm3)* mean diameter (µm)*
II. Equations
A. Solids Content*
m • 100
S=
OR m =
VS
S•V S 100
where: S = weight % solids*
V = volume of suspension (mL)* S
m = mass of microspheres (g)*
1.004 • DC • ρS • d
where: P = parking area (Å2/charge group)* DC = surface charge density or titration value (meq/g)* (provided in µeq/g on COA) ρS = density of solid sphere (g/cm3)* d = mean diameter (µm)*
I. Introduction
Values obtained through use of the following equations should be considered estimates, as the equations are based upon a number of theoretical assumptions. Values that are determined empirically or through use of analytical techniques are expected to differ to an extent. Some values (designated with an *) are provided on the Certificates of Analysis and order paperwork that accompanies microsphere shipments.
where: v =
d =
ρS = ρ0 =
h=
G =
settling velocity (cm / sec) mean diameter (µm)* density of solid sphere (g/cm3)* medium density (g/cm3)* medium viscosity (poise = g/cm • sec) gravity (980 cm/sec2)
Notes: a. b.
Surface titer / parking area are not provided for all products. For a detailed description of parking area, see “The Particle Doctor®” section of our March 2001 issue of Painless Particles®, which may be downloaded from our website, www.bangslabs.com.
h = distance from the top of the liquid to the bottom layer of
settled solids (cm) Vh5% = true settling velocity or hindered velocity (cm/sec) for a 5% w/w suspension of microspheres settling in water at
F. Surface Area / mL*
A = 6 x 1010 • S • ρL ρS • d
where: A =
S =
ρL = ρL = ρS = d =
surface area / mL for suspensions in water (µm2/g)* weight % solids (for 10% solids solution, S=10)* density of microsphere suspension (g/mL)* 100 • ρS / [S (1-ρS) + (100 • ρS)] density of solid sphere (g/cm3)* mean diameter (µm)*
(e.g., S = 10 for 5mL suspension, 0.5g microspheres)
E. Surface Area / Gram*
6 x 1012 AG =
ρS • d
where: AG = surface area/gram for dry powders (µm2/g)* ρS = density of solid sphere (g/cm3)* d = mean diameter (µm)*