A Generalized Adder mechanism for Cell Size Homeostasis: Implications for Stochastic Dynamics of Clonal Proliferation
bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2024,
Volume and Issue:
unknown
Published: Sept. 19, 2024
Abstract
Measurements
of
cell
size
dynamics
have
revealed
phenomeno-logical
principles
by
which
individual
cells
control
their
across
diverse
organisms.
One
the
emerging
paradigms
homeostasis
is
adder
,
where
cycle
duration
established
such
that
increase
from
birth
to
division
independent
newborn
size.
We
provide
a
mechanistic
formulation
considering
follows
any
arbitrary
non-exponential
growth
law
.
Our
results
show
main
requirement
obtain
an
regardless
(the
time
derivative
size)
regulators
are
produced
at
rate
proportional
and
triggered
when
these
molecules
reach
prescribed
threshold
level.
Among
implications
this
generalized
adder,
we
investigate
fluctuations
in
proliferation
single-cell
derived
colonies.
Considering
exponential
growth,
random
clonal
transient
then
eventually
decay
zero
over
(i.e.,
populations
become
asymptotically
more
similar).
In
contrast,
several
forms
(with
adder-based
control)
yield
qualitatively
different
results:
monotonically
reaching
non-zero
value.
These
characterize
interplay
between
level
population
level,
explaining
broad
sizes
seen
barcoded
human
lines.
Language: Английский
Bacterial cell size modulation along the growth curve across nutrient conditions
bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2024,
Volume and Issue:
unknown
Published: Sept. 25, 2024
Under
stable
growth
conditions,
bacteria
maintain
cell
size
homeostasis
through
coordinated
elongation
and
division.
However,
fluctuations
in
nutrient
availability
result
dynamic
regulation
of
the
target
size.
Using
microscopy
imaging
mathematical
modelling,
we
examine
how
bacterial
volume
changes
over
curve
response
to
conditions.
We
find
that
two
rod-shaped
bacteria,
Language: Английский