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ARTICLE IN PRESS
0043-1354/$ - se
doi:10.1016/j.w
�Correspond16-273-9550.
E-mail addr1Present add
Grande do Sul,
Water Research 38 (2004) 4117–4124
www.elsevier.com/locate/watres
Influence of the agitation rate on the treatment of partiallysoluble wastewater in anaerobic sequencing batch
biofilm reactor
Samantha Cristina Pinhoa,1, Suzana Maria Ratuszneib, Jose AlbertoDomingues Rodriguesb, Eugenio Forestia, Marcelo Zaiata,�
aDepartamento de Hidraulica e Saneamento, Escola de Engenharia de Sao Carlos (EESC), Universidade de Sao Paulo (USP),
Av. Trabalhador Sao-Carlense 400, CEP 13566-590, Sao Carlos, Sao Paulo, BrazilbDepartamento de Engenharia Quımica e de Alimentos, Escola de Engenharia Maua, Instituto Maua de Tecnologia (IMT),
Prac-a Maua 1, Sao Caetano do Sul, Sao Paulo, Brazil
Received 26 March 2004; received in revised form 13 August 2004; accepted 18 August 2004
Abstract
This work reports on the influence of the agitation rate on the organic matter degradation in an anaerobic sequencing
batch reactor, containing biomass immobilized on 3 cm cubic polyurethane matrices, stirred mechanically and fed with
partially soluble soymilk substrate with mean chemical oxygen demand (COD) of 974770mg l�1. Hydrodynamic
studies informed on the homogenization time under agitagion rates from 500 to 1100 rpm provided by three propeller
impellers. It occurred very quickly compared to the total cycle time. The results showed that agitation provided good
mixing and improved the overall organic matter consumption rates. A modified first-order kinetic model represented
adequately the data in the entire range of agitation rate. The apparent first-order kinetic constant for suspended COD
rose approximately 360% when the agitation rate was changed from 500 to 900 rpm, whereas the apparent first-order
kinetic constant for soluble COD did not vary significantly.
r 2004 Elsevier Ltd. All rights reserved.
Keywords: Anaerobic process; Anaerobic sequencing batch reactor (ASBR); Anaerobic sequencing batch biofilm reactor (ASBBR);
Mechanical agitation; Partially soluble wastewater; Particulate organic matter
1. Introduction
Anaerobic sequencing batch reactors have been
extensively studied for presenting several operational
e front matter r 2004 Elsevier Ltd. All rights reserve
atres.2004.08.015
ing author. Tel.: +55-16-273-9546; fax: +55-
ess: [email protected] (M. Zaiat).
ress: UERGS—Universidade Estadual do Rio
Unidade Caxias do Sul, Av. Julio de Castilhos
advantages when compared to other anaerobic reactors
such as good biomass retention, efficient operational
control and no need of biomass separator. These
reactors are especially useful in studies for elucidating
several fundamental aspects of anaerobic degradation
due to the feasibility of their instrumentation that
provide efficient process control. In this sense, many
configurations have been tested and the parameters that
significantly affect the performance of these reactors
have been evaluated such as the food/microorganism
ratio (Dague et al., 1992; Reyes III and Dague, 1995),
d.
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ARTICLE IN PRESS
Nomenclature
BA bicarbonate alkalinity (mg CaCO3 l�1)
COD chemical oxygen demand (mg l�1)
CODF filtered chemical oxygen demand (mg l�1)
CODSS suspended chemical oxygen demand
(mg l�1)
CODT total chemical oxygen demand (mg l�1)
k0 and k00 adjustment parameters in the modified
hyperbolic function (rpm�1)
k1app apparent first-order kinetic constant (h�1)
k1Fapp apparent first-order kinetic constant for
filtered COD (h�1)
k1SSapp apparent first-order kinetic constant for
suspended COD (h�1)
k1Tapp apparent first-order kinetic constant for
total COD (h�1)
N agitation rate (rpm)
pH0 initial pH (hydrodynamic study)
pHf final pH (hydrodynamic study)
RSoF initial filtered reaction rate (mg
COD l�1 h�1)
RSoSS initial suspended reaction rate (mg
COD l�1 h�1)
RSoT initial total reaction rate (mg COD l�1 h�1)
SoF initial filtered substrate concentration (mg
COD l�1)
SoSS initial suspended substrate concentration
(mg COD l�1)
SoT initial total substrate concentration (mg
COD l�1)
SR residual substrate concentration (mg l�1)
SRFmax maximum residual filtered substrate concen-
tration (mg l�1)
SRTmax maximum residual total substrate concen-
tration (mg l�1)
t0 delay hydrodynamic time (s)
TVA total volatile acids concentration (mg l�1)
t first-order constant (hydrodynamic study)
(s)
S.C. Pinho et al. / Water Research 38 (2004) 4117–41244118
the reactor’s geometry (Sung and Dague, 1995), the feed
strategy (Droste and Masse, 1995), the agitation or
mixing conditions, and the biomass immobilization (in
granules or biofilms) (Rodrigues et al., 2003; Ratusznei
et al., 2000,2001; Camargo et al., 2002).
A typical operational cycle of an anaerobic sequen-
cing batch reactor comprises of four steps: feed,
reaction, settling, and liquid withdrawal. It was pre-
viously verified that agitation occurring during the
reaction step improves the mass transfer fluxes, thus
improving the overall substrate consumption rate
(Ratusznei et al., 2001). Based on the concept that the
homogenization by mixing is a crucial feature affecting
most bioprocesses, some authors emphasize that the
overall performance of a bioreactor is determined by the
interaction of physical (fluid hydrodynamics, for in-
stance) and biological-dependent parameters (growth
factors and nutrient demand) (Nienow, 1998).
The immobilization of anaerobic biomass on inert
supports represents an important contribution to the
improvement of anaerobic sequencing batch reactor
(ASBR) performance, since it eliminates the settling step
and reduces the total cycle time (Zaiat et al., 2001).
Some authors tested this form of immobilization and
have obtained good results for organic matter degrada-
tion (Hirl and Irvine, 1997; Ratusznei et al., 2000, 2001;
Camargo et al., 2002; Cubas et al., 2004).
Some studies have demonstrated that organic sus-
pended solids can represent the major fraction (up to
85%) of the total chemical oxygen demand (COD) in
domestic sewage (Zeeman et al., 1997), as well as in
many other types of wastewaters, such as those from
agro industrial activities. In such cases, hydrolysis,
which is an essential step in the overall anaerobic
organic matter conversion, is the limiting and proble-
matic step (Eastman and Ferguson, 1981; Hobson,
1987). Therefore, if dissolution of particulate material
could be accelaerated, the overall performance of the
anaerobic process in terms of time and efficiency would
be, probably, expressively improved. In fact, ASBR
containing flocculent or granular biomass has already
been employed to treat wastewaters with a high
percentage of organic suspended solids, namely swine
manure (Dague et al., 1992; Droste and Masse, 1995;
Masse et al., 1997), leachate (Hollopeter and Dague,
1994; Timur and Ozturk, 1999), dairy wastewater
(Dugba and Zhang, 1999) and slaughterhouse waste-
water (Masse and Masse, 2001).
The configuration of anaerobic batch reactor contain-
ing immobilized biomass on polyurethane foam pro-
vided with mechanical stirring has been shown to be
very suitable for the treatment of low-strength
wastewater with low suspended solids concentration
(Ratusznei et al., 2000, 2001, 2003; Cubas et al.,
2004). However, this reactor may also constitute an
alternative for the treatment of partially soluble waste-
waters, because efficient mechanical stirring would
improve the particle suspension and accelerate
the solubilization of suspended organic matter (Pinho
et al., 2004). This acceleration would occur due to the
following factors: (1) it also helps the shearing of larger
particles into smaller ones; (2) stirring improves the
solids–microbial contact, and even the contact between
the solids and the extra-cellular enzymes; (3) it may help
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ARTICLE IN PRESSS.C. Pinho et al. / Water Research 38 (2004) 4117–4124 4119
remove soluble concentration gradients around hydro-
lyzing solids.
The hydrodynamic patterns in this reactor are
certainly quite complex, due to the presence of the
polyurethane foam matrices. However, these fluxes that
must be pushed into the foam probably improves the
contact between the biomass and the substrate. In
addition, to promote an efficient mass transfer between
phases, the solids have to be maintained in suspension
and the main parameter associates to the mixing
degree in agitated liquid–solids systems is the agitation
rate (Upadhyay et al., 1994). The main aim of this
work is to evaluate the influence of the agitation rate on
the performance of an anaerobic sequencing batch
biofilm reactor (ASBBR) in removing filtered and
suspended COD from a soymilk-based substrate con-
taining relatively high concentration of suspended
organic matter.
2. Material and methods
The bench-scale ASBBR consisted of an 8 l-cylindrical
flask with useful volume of 6.5 l when the foam was in
place. The biomass was immobilized on 3 cm cubic
polyurethane foam particles (porosity of 95%) disposed
in a perforated basket of 22 cm diameter and 18 cm
height inside the cylindrical flask (bed porosity of 40%).
Three 6 cm diameter propeller impellers provided the
mechanical mixing, displaced 4 cm above the bottom.
33 cm
SludgeDischarge
Effluent
GasVent
Detail1: Basket ContainingImmobilized Biomass
6 cm
Detail 2: PropellerImpeller
18 cm
7 cm
22 cm
Fig. 1. Experimental apparatus: ASBBR with imm
The reactor had its external surface involved by a heat
exchanger (streamer), permitting the process to occur at
a desired controlled temperature (3071 1C). Fig. 1
presents the diagram of the bench-scale reactor.
The sludge inoculum was obtained from a full-scale up-
flow anaerobic sludge blanket (UASB) reactor treating
slaughterhouse wastewater. The immobilization procedure
consisted of the granules maceration before being well
mixed on the polyurethane foam particles. Afterwards, the
sludge was left in contact with the foam particles for 24h
before being placed in the perforated basket.
The substrate was soymilk (NAN, Nestle, Germany)
with a total COD (CODT, mg l�1) of approximately
1000mg l�1, about 45% of which was suspended COD
(CODSS, mg l�1). The reactor was operated in a batch
mode with sequential cycles of 8 h (3 cycles per day),
with feeding and discharge steps lasting for 15 and
5min, respectively. Considering this time of cycle the
organic loading rate (OLR) was calculated as approxi-
mately 2.4 kg CODm�3 day�1. The substrate was kept
at approximately 4 1C to maintain its characteristics and
heated to 30 1C in a heat exchanger (streamer) before
entering the reactor.
COD (mg l�1), total volatile acids concentration
(TVA, mgHAc l�1), bicarbonate alkalinity (BA,
mgCaCO3 l�1), pH and solids analyses were performed
based on the standard methods for the examination of
water and wastewater (APHA/AWWA/WEF, 1998).
Suspended, dissolved and colloidal COD data were
assessed using 1.2 and 0.45mm membranes.
26 cm
Thermometer
HeatExchanger
2 cm
24 cm
Influent
Streamer
obilized biomass and mechanical agitation.
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ARTICLE IN PRESSS.C. Pinho et al. / Water Research 38 (2004) 4117–41244120
Initially, the experiments were carried out to deter-
mine the time for complete mixing at different agitation
rates, using water (6.5 l) and inert support without
biomass. After a pulse input of a H2SO4 solution (3M,
1ml), the pH inside the reactor was monitored along
time. The mixing time, i.e., the time required to
homogenize the liquid medium, was determined by
considering the curve obtained from the pulse distur-
bance as a first-order response:
lnpHf � pH
pHf � pH0
� �¼ �
1
tðt � t0Þ: (1)
In expression (1), pH is the pH at a time t; pH0 is the
initial pH; pHf is the final pH; t represents the first-orderconstant and t0 is the delay hydrodynamic time (s).
Assuming that the total mixing time (tmix, in seconds) is
the time required to attain 0.01% of (pHf–pH0), tmixcould be estimated by
tmix ¼ t0 þ 6:91t: (2)
The influence of the agitation rate on the performance
of the reactor was assessed by means of COD temporal
profiles in batch cycles, using agitation rates ranging
from 500 to 1100 rpm. Before the temporal profiles were
obtained, the reactor was subjected to the gradual
increase of the agitation rate (from 0 to 100 rpm) during
20 days to acclimatize the biomass. In this initial phase,
the agitation rate was varied after the observation that
the reactor performance remained stable during 10 to 12
subsequent cycles (8 h each). Afterwards, the reactor
remained, in average, 1 week in each operational
condition (500, 700, 900 and 1100 rpm) before the
temporal profiles were obtained.
3. Results and discussion
3.1. Hydrodynamic assays
The values of pH and the mixing times profiles
obtained in the hydrodynamic experiments, with agita-
tion rates ranging from 200 to 1000 rpm, are shown in
0 10 20 30 40 50 60 70 80 90 100
3.03.54.04.55.05.56.06.57.07.5
pH
time (s)(a)
Fig. 2. (a) Response-curves obtained in hydrodynamic assays with di
(&) 800 rpm and (K) 1000 rpm. (b) Mixing time as a function of the
Fig. 2. As expected, the mixing time decreased as the
agitation rate increased from 200 to 900 rpm. However,
the mixing time estimated at 1000 rpm was longer than
that obtained at 600 and 800 rpm, possibly indicating
that the hydrodynamic behavior under such a very high
agitation rate differs from those previously assayed. In
fact, it was already observed that the performance of the
same type of reactor at 1100 rpm was atypical compared
to the data obtained at lower agitation rates (Cubas et
al., 2004). As a general rule, the data obtained from
experiments with 1100 rpm showed no correlation to the
other operating conditions.
Nonetheless, the mixing times estimated for all the
experimental conditions were extremely low (lower than
90 s) as compared with the cycle time (8 h). Therefore,
the liquid medium can be considered homogeneous for
all the agitation rates tested.
These values of mixing time are useful to be compared
with the apparent kinetic coefficients (k1app), and must be
negligible compared to 1/k1app, as this quantity represents
the time taken by a degradation step.
3.2. Performance experiments
The average values of total, filtered and suspended
affluent COD were 974770, 530772 and
444731mg l�1, respectively. The reactor start-up was
very fast during the acclimatization phase, achieving
75% of total COD removal efficiency in 20 days. The
pH ranged from 7.0 to 8.0 for the influent and 6.5–7.5
for the effluent. The affluent TVA concentration was
2873mg l�1 and the effluent concentrations were rarely
higher than 80mg HAc l�1. The process stability was
confirmed by the effluent BA values (528755mg
CaCO3 l�1), which were similar to the influent ones
(522784mg CaCO3 l�1). After the start-up period, the
effluent COD remained practically constant at 240725,
130715, 110720mg l�1 for total, filtered and sus-
pended COD, respectively.
Fig. 3 shows the temporal profiles of substrate
concentration, expressed as total, suspended and filtered
COD. The colloidal fraction of COD was insignificant in
200 400 600 800 1000
20
30
40
50
60
70
80
90
agitation rate (rpm)(b)
fferent agitation rates: (’) 200 rpm, (J) 400 rpm, (m) 600 rpm,
agitation rate.
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ARTICLE IN PRESSS.C. Pinho et al. / Water Research 38 (2004) 4117–4124 4121
this synthetic wastewater, presenting values lower than
60mg l�1 for the total influent COD of 974mg l�1 and
did not exceed 50mg l�1 along the temporal profile.
Therefore, this COD fraction was not considered
important in the analysis of the system, and the filtered
COD fraction was taken as representing the concentra-
tion of the soluble organic matter concentration.
The effect of the agitation rate was evaluated by
adjusting the modified first-order kinetic expression as
presented previously (Cubas et al., 2004):
S ¼ SR þ ðSo � SRÞe�k
app1
t: (3)
In expression (3), t is the time (min); S and So are,
respectively, the substrate concentration (as COD) at t
and t0 (initial time, assumed as zero); SR is the residual
0 1 4 6 7 80
200
400
600
800
1000
1200
tota
l CO
D(m
g.l-1
)
time (h)(a) (
0 1 2 4 6 7 8
0
100
200
300
400
500
susp
ende
d C
OD
(m
g.l-1
)
time (h)(c) (
2 3 5
3 5
Fig. 3. (a–c) Temporal profiles of total, suspended and filtered COD:
Efficiency of CODSS removal along the batch cycle.
Table 1
Parameters from the adjustment of the first-order expression for diffe
Agitation rate (rpm) k1app (h�1)
Total Suspended F
(k1Tapp) (k1SS
app) (
500 0.9770.08 0.8370.16 1
700 1.4070.06 1.5470.09 1
900 2.3470.14 3.8270.19 1
1100 1.2170.02 1.6570.13 0
Average influent total, filtered and suspended COD: 974770, 53077
COD (mg l�1) and k1app is the apparent first-order kinetic
constant. Table 1 presents SR and k1app for each
operating condition estimated by a non-linear regression
analysis (Levenberg–Marquardt—Microcal Origin
6.1s). This regression was carried out using one
temporal profile for each experimental condition.
The value of k1Fapp (apparent first-order kinetic
constant for filtered COD) did not vary significantly
(1.2270.09 h�1), whereas k1SSapp (apparent first-order
kinetic constant for suspended COD) increased about
360% when the agitation rate was changed from 500 to
900 rpm, thus making k1Tapp (apparent first-order kinetic
constant for total COD) to rise as well.
The value of k1Fapp is directly related to the liquid-phase
mass transfer coefficient, improved by the minimization
0 1 2 4 6 7 8
0
100
200
300
400
500
600
filte
red
CO
D (
mg.
l-1)
time (h)b)
0 2 3 4 5 6 8
0
10
20
30
40
50
60
70
80
90
100
rem
oval
effi
cien
cy (
%)
time (h)d)
3 5
1 7
(’) 500 rpm, (J) 700 rpm, (m) 900 rpm and (X) 1100 rpm. (d)
rent agitation rates
SR (mg COD l�1)
iltered Total Suspended Filtered
k1Fapp) SRT SRSS SRF
.1370.13 200718 77722 123713
.3070.08 18578 6674 11877
.2270.12 15978 3673 11078
.8670.05 9573 3576 4977
2 and 444731mg l�1, respectively.
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ARTICLE IN PRESSS.C. Pinho et al. / Water Research 38 (2004) 4117–41244122
of the stagnant liquid layer surrounding the bioparticle,
while k1SSapp is related to the hydrolysis step of the overall
conversion rate, which is dependent on the particle size
of the suspended organic matter. It is also important to
point out k1Fapp is, in fact, the result of the difference
between the solubilization of the suspended COD and
the effective consumption of the filtered organic matter.
Hence, it can be supposed that, although the effective
liquid-phase mass transfer flux (represented by k1Fapp) was
not increased, the increase of the agitation rate
improved the solubilization of the organic suspended
solids (represented by k1SSapp), thereby improving the
overall conversion rate and decreasing the batch cycle
time needed to obtain a required efficiency. This
statement is clearly illustrated in Fig. 3(d).
The k1app values estimated for the agitation rate of
1100 rpm did not follow the same trend observed for
lower agitation rate values. This behavior may be
ascribed to the different hydrodynamic pattern observed
previously at the agitation rate of 1000 rpm.
As seen in Fig. 4, the total residual substrate
concentration (SRT) decreased continuously from 200
to 95mg l�1 as the agitation rate was increased. Such an
effluent quality improvement can be credited mainly to
the decrease of the residual concentration of particulate
organic matter from 77 to 36mg l�1 for agitation rates
between 500 and 900 rpm, since the soluble residual
substrate concentration (SRF) remained practically
constant (11777mg l�1) in this range of agitation rate.
So, as discussed previously for k1app, the agitation rate
affected mainly the solubilization of particulate organic
material. However, for agitation rate of 1100 rpm, the
total residual substrate concentration decreased as a
result of the decrease of the soluble residual substrate
concentration.
The influence of particulate dissolution rates and
liquid-phase mass transfer on the cycle time can also be
500 600 700 800 900 1000 1100
40
60
80
100
120
140
160
180
200
SR
(mg.
l-1)
N (rpm)
Fig. 4. Residual substrate concentration (SR) as a function of
the agitation rate (N): (’) total, (m) suspended and (J) filtered
COD.
confirmed by evaluating the reaction rate profile along
the batch cycle. The degradation rate of organic matter
(RS) can be estimated as a function of time from the
mass balance in the batch reactor, as
RS ¼ �dðS � SRÞ
dt: (4)
Fig. 5 shows the reaction rates as a function of time,
based on the first-order kinetic model (Eq. (3)) and the
estimated parameters (Table 1). Higher reaction rates
were found at higher agitation rates, except for
1100 rpm, due to the peculiar hydrodynamic behavior
occurred at that agitation rate. Under this condition, the
liquid streams inside the reactor may have changed,
affecting the overall hydrodynamic pattern or even
causing superficial aeration of the reactor, thus interfer-
ing in the overall degradation rates.
The initial particulate substrate degradation rates
(RSoSS) increased as agitation rate increased (Table 2),
except for 1100 rpm, which confirms its atypical
behavior. As observed previously, this indicates that
the solubilization of particulate organic matter was the
main factor responsible for the enhancement of the
overall reaction rate (RSoT) with the increase of the
agitation rate. On the contrary, the soluble substrate
consumption rate (RSoF) remained practically constant
and no tendency could be observed. The initial
particulate substrate consumption rate (RSoSS) was
lower than the soluble substrate consumption rate
(RSoF) only for the agitation rate of 500 rpm (RSoF/
RSoSS=1.5), whereas RSoSS reached higher values for
agitation rates of 700 and 900 rpm (RSoF/RSoSS=0.92
and 0.33, respectively). Even for the condition of
1100 rpm, the particulate substrate degradation rate
was higher than that observed for soluble substrate
(RSoF/RSoSS=0.63).
4. Conclusions
The results obtained in this study indicate that the
agitation rate plays an important role in the solubiliza-
tion of suspended organic material. The acceleration of
suspended COD degradation with the increase of
agitation rate was probably due to the higher velocity
of shear of larger particles and major contact between
the particulate organic matter and the extra-cellular
enzymes. These statements can be supported by the data
of SRSS, that decreased from 500 to 1100 rpm, and the
stable values of SRF in the same range of agitation rate.
This conclusion is particularly important in the treat-
ment of partially soluble wastewaters. The following
specific conclusions could be drawn:
�
The mixing times were very low compared to the cycle
time, indicating that the system can be considered
Page 7
ARTICLE IN PRESS
0 2 4 6 8
0
250
500
750
1000
1250
1500
17502000
RS
T (
mg
CO
D.l-1
.h-1
)
time (h)(a)
0
100
200
300
400
500
600
RS
F(m
g C
OD
.l-1.h
-1)
time (h)(b)
0
0
200
400
600
800
1000
1200
1400
1600R
SS (
mg
CO
D.l-1
.h-1
)
time (h)(c)
1 3 5 7 0 1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8
Fig. 5. Organic matter degradation profiles (a) total, (b) filtered and (c) suspended COD; (’) 500 rpm, (J) 700 rpm, (m) 900 rpm and
(X) 1100 rpm.
Table 2
Initial rates of organic matter degradation
Agitation rate
(rpm)
RSo (mg COD l�1 h�1)a
Total (RSoT) Suspended
(RSoSS)
Filtered
(RSoF)
500 751 305 460
700 1104 582 536
900 1907 1558 512
1100 1063 675 426
aThese values of initial velocities were calculated using the
average influent values of COD, i.e., SoT=974, SoF=530 and
SoSS=444mg COD l�1.
S.C. Pinho et al. / Water Research 38 (2004) 4117–4124 4123
well mixed at agitation rates ranging from 500 to
1100 rpm. However, the experiments revealed that the
hydrodynamic behavior under 1100 rpm was atypical
in comparison to the other conditions. This unusual
hydrodynamic pattern influenced the reactor’s per-
formance, probably caused by changes in liquid
streams or even by causing the aeration of the liquid.
�
In sequencing batch reactors agitation is important
not only for providing good mixing or improve
liquid-phase mass transfer, but also for improving the
solubilization of particulate organic material with
positive benefits to the organic mater consumption
rates. Furthermore, the residual substrate concentra-
tion decreased with the increase of the agitation rate,
affecting positively the final quality of the treated
wastewater.
�
The overall anaerobic conversion rate increased with
the increase of the agitation rate from 500 to 900 rpm
due to the increase of the particulate organic matter
conversion rate, while the soluble organic matter
conversion rate remained practically constant.
Acknowledgments
This work was funded by FAPESP—Fundac- ao de
Amparo a Pesquisa do Estado de Sao Paulo, Brazil. The
authors acknowledge the grants received from FAPESP
and CNPq—Conselho Nacional de Desenvolvimento
Cientıfico e Tecnologico, Brazil.
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