Practical application and calibration of apparent half-saturation coefficients for aerobic granular sludge modelling: Limitations and value
Journal of Water Process Engineering,
Год журнала:
2025,
Номер
71, С. 107292 - 107292
Опубликована: Фев. 22, 2025
Язык: Английский
Perspectives on the Monod model in biological wastewater treatment
Journal of Chemical Technology & Biotechnology,
Год журнала:
2022,
Номер
98(4), С. 833 - 837
Опубликована: Дек. 9, 2022
Abstract
The
Monod
model
has
been
widely
used
in
activated
sludge
and
biofilm
models
to
mathematically
describe
the
kinetics
of
microbial
growth.
Mathematical
biological
systems
can
be
distinguished
according
their
dimensionality
as
zero‐dimensional
(0D),
one‐dimensional
(1D),
two‐dimensional
(2D)
three‐dimensional
(3D).
is
a
0D
model,
which
does
not
take
cell
(aggregate)
structure
into
account,
yet
different
ways
modelling:
In
modelling,
it
its
original
sense
(i.e.
0D),
whilst
dimensional
intrinsic
thus
1D,
2D
3D.
We
believe
that
latter
correct
use
because
both
consist
similar
aggregates
feature
concentration
gradients.
Diffusional
mass
transfer
limitations
are
manifested
by
values
kinetic
parameters
should
described
explicitly
Fick's
laws
diffusion.
concept
adopted
state‐of‐the‐art
more
recently
models.
Measured
directly
transferred
application
second
law
diffusion
combination
with
reaction–diffusion
equation)
therefore
becomes
irrelevant.
this
manner,
equation
simple,
universal
approach
modelling
contains
variable
parameters.
©
2022
Society
Chemical
Industry
(SCI).
Язык: Английский
A PDE-ODE Coupled Model for Biofilm Growth in Porous Media That Accounts for Longitudinal Diffusion and Its Effect on Substrate Degradation
Mathematical and Computational Applications,
Год журнала:
2024,
Номер
29(6), С. 116 - 116
Опубликована: Дек. 11, 2024
We
derive
a
one-dimensional
macroscopic
model
for
biofilm
formation
in
porous
medium
reactor
to
investigate
the
role
of
longitudinal
diffusion
substrate
and
suspended
bacteria
on
performance.
By
comparing
an
existing
base
model—one
without
diffusion,
which
was
point
departure
our
work,
new
model—we
noticed
significant
changes
system
dynamics.
Our
results
suggest
that
neglecting
it
can
lead
underestimation
quenching
length
accumulation
downstream,
even
advection-dominated
regime.
The
effects
attachment
detachment
degradation
were
also
examined.
In
model,
found
has
stronger
influence
depletion,
becomes
more
pronounced
as
pore
space
increases.
Язык: Английский