|
C
|
concentration of polymer in the solution |
|
Cn
|
Flory’s characteristic ratio |
|
E
|
Horseradish Peroxidase (HRP) |
|
g
|
network correction factor |
|
G
|
relaxation modulus (Pa) |
|
G′ |
storage modulus (Pa) |
|
Ge
|
equilibrium shear modulus treated by rubberlike elasticity theory (Pa) |
|
Gx,m,a,c
|
largest polymer chain with x monomeric units, m residual phenol groups, a activated phenol groups and c crosslinks |
|
k
|
Boltzmann’s constant (J/K) |
|
kj
|
kinetic rate constant of “j” reaction |
|
kj,MC
|
stochastic kinetic rate constant of “j” reaction |
|
Mc
|
number average molecular weight between two crosslinks |
|
Mi
|
molecular weight of the “ith” polymer chain |
|
Mn,sol
|
number average molecular weight in the solution (g/mol) |
|
Mw
|
weight average molecular weight in the system (g/mol) |
|
MWm
|
molecular weight of a repeating structural unit |
|
Mw,sol
|
weight average molecular weight in the solution (g/mol) |
|
NA
|
Avogadro’s Number |
| NCLD |
number chain length distribution |
|
NE
|
the number of enzyme species E |
|
NH2O2
|
total number of hydrogen peroxide species |
|
NR
|
total number of polymer chains |
|
Np
|
number of primary molecules before crosslinking |
|
NRE
|
total number of reactions |
|
rand1 |
randomly generated number uniformly distributed in the range of [0, 1] |
|
rand2 |
randomly generated number uniformly distributed in the range of [0, 1] |
|
|
mean square end-to-end distance of a strand |
|
|
mean square end-to-end distance of a non-constrained strand |
|
Pi
|
probability of reaction “i” |
|
R
|
the universal gas constant (J∙mol−1K−1) |
|
Rj
|
the rate of the “j” chemical reaction |
|
T
|
absolute temperature (K) |
|
u2,r
|
polymer volume fraction at the relaxed state |
|
u2,s
|
polymer volume fraction at the equilibrium swollen state |
|
V
|
volume of the mixture |
|
V
1
|
molar volume of the solvent |
|
wg
|
gel mass fraction |
|
xi
|
degree of polymerization of the “ith” polymer chain |
|
Xc
|
total number of possible combinations of reactive species in a reaction |
| Greek Symbols |
| Δt
|
the time step between two reactions |
|
ν
|
number of network chains or segments per unit volume (m−3) |
|
vc
|
the number of moles of crosslinks per unit volume (mol∙m−3) |
| ve
|
number effective network chains or segments per unit volume (m−3) |
|
vo
|
number of crosslinks per unit volume (m−3) |
|
λ
|
backbone bond factor |
|
ξ
|
mesh size of the network |
|
ρ
|
polymer density (kg∙m−3) |
|
χ
1
|
Flory interaction parameter of the polymer-solvent |