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J.-F. Cornet et al.
where the term on the right-hand side represents the decrease in phycocyanin
concentration, which only occurs when concentrations of nitrates or sulfates are
low.
The mean mass volumetric rate for proteins only decreases during sulfate
deprivation, so that
I CN
Cs
CPKs 1
(109)
(rpr)=Zer(Rx) KN+CNKs+CsKp+Cv
(Ks+Cs
where ( is a proportionality coefficient with respect to the mean linear volumetric rate (Rx) and is an adjustable parameter.
The mean mass volumetric rate for uptake of substrates is obtained from the
mass conversion yields. For nitrates, sulfates and phosphates respectively, we
have
(rN) = -- YN/X(rx)
(110)
(rs) = -- Ys/x (rx)
(111)
(re) = - Yv/x (rx)
(112)
Under nitrate and sulfate deprivation, the continued increase in total biomass concentration results from the accumulation of intracellular glycogen.
However, if cells do not divide, growth stops when cells reach a maximum size.
This is described by the term Cec/(Kpc + Cec). The mean mass volumetric rate
of total biomass synthesis is then
C N
C S
Cp
(rXT) = (Rx) KN + CN Ks + Cs Kp + Cp
Cpc / KN
Ks
+ Kpc + Cpc \KN-T CN + Ks ~ Cs)l
(113)
This model for growth of S. platensis under light, nitrogen, sulfur or phosphate limitation uses only seven parameters - g~, Kj, KN, Ks, Up, Kpc and
( - which remain to be identified. It is emphasized that light absorption and
scattering parameters Ea and Es were experimentally measured separately.
This model for growth of S. platensis has been integrated for batch cultures
performed in rectangular photoreactors illuminated on one side and compared
with the experimental results obtained on ten different experiments for the
general mass balance equation (from Eq. 2):
dCi
= (ri)
(114)
dt
The five biological parameters of the model for mineral limitations,
KN, Ks, Kv, Kec and ~ were obtained by minimizing a quadratic criterion using
a Gauss-Newton algorithm. Biomass, nitrate, sulfate, phosphate, proteins,
phycocyanins and chlorophyll a concentrations have been taken into account.
J.-F. Cornet et al.
where the term on the right-hand side represents the decrease in phycocyanin
concentration, which only occurs when concentrations of nitrates or sulfates are
low.
The mean mass volumetric rate for proteins only decreases during sulfate
deprivation, so that
I CN
Cs
CPKs 1
(109)
(rpr)=Zer(Rx) KN+CNKs+CsKp+Cv
(Ks+Cs
where ( is a proportionality coefficient with respect to the mean linear volumetric rate (Rx) and is an adjustable parameter.
The mean mass volumetric rate for uptake of substrates is obtained from the
mass conversion yields. For nitrates, sulfates and phosphates respectively, we
have
(rN) = -- YN/X(rx)
(110)
(rs) = -- Ys/x (rx)
(111)
(re) = - Yv/x (rx)
(112)
Under nitrate and sulfate deprivation, the continued increase in total biomass concentration results from the accumulation of intracellular glycogen.
However, if cells do not divide, growth stops when cells reach a maximum size.
This is described by the term Cec/(Kpc + Cec). The mean mass volumetric rate
of total biomass synthesis is then
C N
C S
Cp
(rXT) = (Rx) KN + CN Ks + Cs Kp + Cp
Cpc / KN
Ks
+ Kpc + Cpc \KN-T CN + Ks ~ Cs)l
(113)
This model for growth of S. platensis under light, nitrogen, sulfur or phosphate limitation uses only seven parameters - g~, Kj, KN, Ks, Up, Kpc and
( - which remain to be identified. It is emphasized that light absorption and
scattering parameters Ea and Es were experimentally measured separately.
This model for growth of S. platensis has been integrated for batch cultures
performed in rectangular photoreactors illuminated on one side and compared
with the experimental results obtained on ten different experiments for the
general mass balance equation (from Eq. 2):
dCi
= (ri)
(114)
dt
The five biological parameters of the model for mineral limitations,
KN, Ks, Kv, Kec and ~ were obtained by minimizing a quadratic criterion using
a Gauss-Newton algorithm. Biomass, nitrate, sulfate, phosphate, proteins,
phycocyanins and chlorophyll a concentrations have been taken into account.