Abstract
Active regulation of gene expression, orchestrated by complex interactions of activators and
repressors at promoters, controls the fate of organisms. In contrast, basal expression at
uninduced promoters is considered to be a dynamically inert mode of non-functional “promoter
leakiness”, merely a byproduct of transcriptional regulation. Here, we investigate the basal
expression mode of the mar operon, the main regulator of intrinsic multiple antibiotic
resistance in Escherichia coli, and link its dynamic properties to the non-canonical, yet highly
conserved start codon of marR across Enterobacteriaceae. Real -time single -cell
measurements across tens of generations, reveal that basal expression consists of rare
stochastic gene expression pulses, which maximize variability in wildtype and, surprisingly,
transiently accelerate cellular elongation rates. Competition experiments show that basal
expression confers fitness advantages to wildtype across several transitions bet ween
exponential and stationary growth by shortening lag times. The dynamically rich basal
expression of the mar operon, has likely been evolutionarily maintained for its role in growth
homeostasis of Enterobacteria within the gut environment, thereby allo wing other ancillary
gene regulatory roles to evolve, e.g. control of costly -to-induce multi -drug efflux pumps.
Understanding the complex selection forces governing genetic systems involved in intrinsic
multi-drug resistance is crucial for effective public health measures.
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Basal gene expression , also known as promoter leakiness, is a characteristic of
bacterial promoters that occurs in their OFF state due to the presence of a repressor
or the absence of an activator. Unlike induced or constitutive expression in the ON
state, basal expression is generally not thought of as a functional mode of gene
expression, but rather a s a lack thereof. While selection can tune various aspects of
gene induction, it is unclear how it could act, if at all, on the basal expression mode .
Given that promoter leakiness can be detrimental (1–3), it could be under negative
selection. However, we wondered whether there are any alternative basal expression
modes that could have regulatory functions in their own right and thus be positively
selected for . Recent studies uncovered the existence of a much more dynamic,
pulsatile basal expression mode for several bacterial genes. Such a basal mode can
generate phenotypic diversity in a clonal population and has thus been rationalized as
a possible bet hedging mechanism (4–7). Essential to this explanation are two
premises. The first is “frequency matching”: bet hedging conveys a long -term fitness
benefit when it generates phenotypes in proportion to the frequencies of the
environments for which these phenotypes are advantageous (8). The second is the
existence of a growth rate “cost” for a pulse: some (small) fraction of cells undergoing
a pulse pay this cost upfront, in order to survive, or be more competitive , if a rare
external stress should occur in that moment. While the bet hedging explanation is
attractive, the implied growth rate costs and benefits, as well as fitness effects more
broadly, are rarely measured (4). This motivates a fundamental question: Are the two
premises of bet hedging met or should one seek alternative explanations for the
evolutionary maintenance of a pulsatile basal expression mode?
Here we turn to the marRAB operon, initially discovered as the genetic determinant of
multiple antibiotic resistance, and a paradigmatic example of a highly complex
bacterial regulatory circuit (9, 10). The repressor MarR and the activator MarA form a
negative and a positive autoregulatory loop, respectively, and this unique topology of
two interlocked loops jointly controls the mar function (11, 12). While MarR is a local
regulator of marRAB operon, MarA is a global regulator at the heart of one of the
largest E. coli regulons, encompassing over 30 genes, involved in multi -drug efflux,
pH regulation, outer membrane permeability, biofilm formation, and virulence (13–18).
Modelling and experimental studies suggest that the mar interlocked regulatory loops
could lead to pulsatile basal mode, resulting in phenotypic heterogeneity of expression
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3
that could support bet hedging (11, 19). Nevertheless, the characterization of the basal
expression mode for the mar operon and its functional and fitness implications beyond
bet hedging and antibiotic stress remains unexplored.
Conservation of GTG start codon in marR across Enterobacteriaceae
As MarR controls the repressed state of the mar operon and therefore its basal
expression, the unusual presence of a weak GTG start codon in marR piqued our
interest (20). Non-ATG start codons, i.e. , GTG and TTG, initiate ~8% genes in
Gammaproteobacteria (21), reducing the translation efficiency of these genes so that
significantly lower expression is achieved than if genes used ATG. To determine
whether the GTG start of marR is a historical contingency or the outcome of selection,
we constructed the marR phylogenetic tree and determined GTG prevalence across
Gammaproteobacteria. Among 889 representative genomes , marR homologs were
found in ~300 species , distributed across 20 distinct bacterial families ( Fig. 1A).
Interestingly, we observed that marR belongs to the marRAB operon only in
Enterobacteriaceae. Within all other bacterial families, marR-type transcription factors
form operons with emrAB-type efflux pump genes (Fig. 1A, S1).
The phylogenetic tree corroborates an evolutionary scenario in which marRAB operon
evolved only once and was vertically inherited (Fig. 1A). Its formation in the ancestor
of Enterobacteria coincides with a change of the marR start codon from the canonical
ATG to the noncanonical GTG. While the marR-emrAB family has a strong ATG start
codon, marR in marRAB operons uses the weaker GTG variant, with very few
exceptions (Cronobacter, Jejubacter, Pluralibacter, Salmonella, Shimwellia ,
Tenebrionocola), where the putatively even weaker TTG is used . Furthermore, a
switch from GTG to ATG occurred only in one Klebsiella clade. Few Enterobacteria
harbor both, marRAB and marR-emrAB operons, (Cedecea, Kosakonia, Phytobacter,
Raoultella), providing evidence for horizontal gene transfer of marR-emrAB into some
Enterobacteriaceae (Fig. 1A). In addition to the start codon, the ribosome binding site
(RBS) is also a determinant of translational efficiency. With a single exception, the
RBS of marR in marRAB is fully conserved among Enterobacteria (Fig. S2). Taken
together, our phylogenetic analysis strongly suggests that the prevalent utilization of
weak marR start codons across marRAB operons, in conjunction with a particular RBS
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variant, is selectively favored for a yet uncharacterized, but likely general,
physiological role.
Pulsatile basal expression of mar operon
To ask how the conserved GTG start codon affects marRAB function and fitness, we
constructed scarless marR mutants with alternative start codons (ATG and TTG) in
Escherichia coli. In addition, in the ATG* mutant we combined the ATG start codon
with a stronger RBS (Fig. 1B).
To investigate the basal mar expression mode in single cells, we measured the
fluorescence output of a Pmar-venus promoter fusion using time-lapse microscopy in
a microfluidic device (22, 23) . We simultaneously monitored a chromosomal
constitutive PR-mCherry as a control. Average background-corrected Pmar expression
depended significantly on the choice of start codon (Fig. 2A). TTG yielded 3-4 fold
higher Pmar expression than the wildtype (GTG), consistent with the expectation that
TTG leads to weaker repressor translation. In contrast, the strong, canonical ATG start
codon reduced Pmar basal expression below the wildtype (GTG) levels. The ATG*
mutant that combines the canonical ATG start codon with a strong RBS , abolished
most of Pmar expression and accessed a nearly complete OFF promoter state (Fig.
2B).
We next characterized the overall variability of the basal expression mode by
computing the coefficient of variation (CV) of Pmar-venus fluorescence across 10
hours of observation for each of the ~180 independent mother cells per genotype (Fig.
2C). The wildtype (GTG) showed maximum expression variability, followed by TTG
(despite having higher mean expression than that of the wildtype), and then ATG.
These three strains have at least 2-fold higher variability than constitutive controls. For
ATG*, the CV was only slightly elevated relative to the control (Fig. 2C, S3).
The observed high Pmar variability in single cells traces its origin to gene expression
pulses: transient, stochastic, high-amplitude activations of transcription plainly visible
in all strains ( Movies M1-M5). To extract and statistically characterize the se pulses
(Fig. S4), we first decomposed the observed Pmar-venus fluorescence distributions
into a Gaussian mixture . The frequent lower-amplitude component corresponded to
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baseline fluctuating Pmar expression level s, whereas the rarer component
corresponded to sporadic high -amplitude pulse -like excursions (Fig. 2D, S5). This
motivated a 85-percentile threshold (see Methods) for extracting the pulses which
could subsequently be aligned to their respective start times (Fig. 2E, S6) and
quantified.
We report a similar frequency of pulsing in the wildtype (GTG), TTG and ATG strains,
of one pulse per approximately 7 -8 hours. For ATG*, pulses appear to be much less
frequent, but our detection may be biased by their low signal-to-noise ratio (Table 1).
The pulse duration distribution was exponential for the wildtype (GTG), TTG, and ATG
strains for which it could be reliably estimated, with similar average duration of ~33-37
minutes per pulse (Table 1, Fig. 2G, S7). The key difference between the strain s lay
in the overall mar expression that affects the baseline as well as pulse amplitudes
(Table 1, Fig. S8). This expression changed several-fold depending on the MarR start
codon, implying that the MarR translation efficiency can tune Pmar expression by
determining the promoter activity level outside and during the pulse. When expressed
as fold-change increase over their respective baseline Gaussian components – which
we refer to as pulse “signal-to-noise” ratio (SNR) – differences between strains were
smaller but significant: pulse amplitudes ranged from ~1.3 – 1.7, with the maximal
SNR reached in the wildtype (GTG) (Table 1, Fig. S8A). This difference at the level of
pulse characteristics is responsible for the maximal CV in mar expression reported for
the wildtype (GTG). Finally, after z-scoring and accounting for the individual durations
of the pulses , we find that pulses nearly collapse onto a universal shape, indicating
that most of the variability across genotypes is accounted for by the statistics we
extracted (Fig. S8B).
Can pulsing be modeled as a stationary stochastic point process? If that were the
case, pulse numbers should be Poisson-distributed over individual cells of the same
genotype. We report strong and highly significant deviations from this expectation for
the wildtype (GTG), TTG, and ATG strains but not for ATG* and controls (Fig. 2F, S9),
even though inter-pulse intervals are exponentially distributed for all strains (Fig. 2H).
Specifically, the observed pulse count distributions are under-dispersed compared to
Poisson, suggesting a more regular pulsing , possibly due to finite pulse duration or
pulse-pulse correlations. Despite these quantitative deviations, individual pulses could
be interpreted in the bet-hedging framework as stochastic switches into an alternative
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(high marA) phenotype once every ~14 – 16 generations and lasting for about one
generation.
We next assessed the cost of mar basal mode expression. TTG cells had a
significantly lower long-term elongation rates than wildtype (GTG) cells, whereas the
elongation rates of ATG and ATG* were marginally higher than for the wildtype (GTG)
(Fig. 3A). This corresponds to the ordering of mean mar expression levels across
strains (Fig. 2B) and is consistent with the expectation that higher overall mar activity
is costly. A detailed analysis, however, revealed a surprising finding. We compared
the single-cell long-term elongation rates to the instantaneous elongation rates during
different phases of the pulse. We expected the elongation rates to slow down around
a pulse and subsequently return to the long -term average. In contrast, for all strains
but ATG* we observed significantly increased elongation rates in the time window 0-
20 minutes after we identify the pulse start (Fig. 3B, C). The growth advantage could
be caused by differences in pulse amplitudes, where different sets of mar regulon
targets are engaged by different levels of MarA. This selective targeting is plausible,
since genes in the mar regulon are known to respond continuously and with different
sensitivities to MarA levels (24). Taken together, larger baseline mar expression has
a cost, while a rare transient pulse confers a n advantage. Therefore, selection may
have to navigate this tradeoff in an environment-dependent way.
To verify that low and transient (as opposed to high and persistent) mar expression
during the pulse is necessary for an elongation rate advantage, we exposed ~110 cells
per strain in our microfluidic device to 2mM salicylate to induce Pmar expression (Fig.
3E). Induction caused a prolonged increase in marRAB expression, with the largest ,
~6-7 fold induction in the wildtype (GTG) and ATG, followed by TTG (4 -5 fold) and
ATG* (~3 fold) (Fig. 3F). In terms of absolute expression , these levels were
substantially (2x to 4x, depending on the strain) above the pulse amplitudes in the
basal mode (Table 1). Induction brought about a concomitant ~10% decrease in the
elongation rate in all strains (Fig. 3D), consistent with previous reports and our
expectation that prolonged and strong marRAB expression is detrimental likely
because it engages additional, more costly-to-express mar regulon targets (24).
The induction experiment revealed another significant difference between the wildtype
(GTG) strain and the strain with the canonical start codon (ATG), which emerged when
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we analyzed the inflection times of individual cell induction curves (Fig. 3G). The
wildtype (GTG), which exhibits maximal expression variability in the basal mode,
surprisingly had the least variable induction curves and thus the most synchronized
response to induction. In comparison, the mutants show a two-fold reduction in
synchronicity. Overall this suggests that the unique interlocked regulatory circuit with
short-lived MarA results in pr ecise induction to sudden stress (25), indicating that
response speed and synchrony may be at a premium for the enterobacterial ecological
niche. The observed difference between the wildtype (GTG) and the canonical start
codon ( ATG) strain motivated us to focus next on the fitness effects of mar in
environments where mar expression mode transitions and timing could be relevant.
Fitness advantage for the wildtype basal expression mode across growth cycles
The surprising observation that basal mode pulse brings about a transient elongation
rate advantage suggests a role of mar expression in physiology and growth
homeostasis, which is in line with the subtle influence of mar in the transition from
exponential to stationary phase and back (26, 27). We therefore decided to conduct
pairwise competition experiments to assess the performance of our strains across the
entire growth cycle. We competed the wildtype (GTG) vs ATG or vs ATG* strains, and
vs GTG itself (as a control), across four serial growth cycles over four days (together
> 40 generations) in LB media without any external inducers . The key question was
how ATG and ATG*, the two strains with more efficient MarR repressor translation and
thus lower baseline mar expression, compare against the wildtype (GTG) when the
cells are forced to undergo repetitive transitions between exponential, stationary, and
lag phases.
Starting from a 1:1 ratio, we saw the wildtype (GTG) increase to a ratio of 2:1 over the
course of 53 generations in competition with the ATG strain; the same 2:1 ratio was
reached in 35 generations in competition with ATG*. The effective selection
coefficients were -0.013 and -0.020 per generation for ATG and ATG* , respectively,
relative to wildtype (GTG) (Fig. 4A and S10). The fitness advantage of the wildtype
(GTG) in the absence of external inducers implies a functional role of the conserved
weaker GTG start codon for cell physiology during serial growth cycles, likely via its
effects on the pulsatile basal mode of mar expression. To understand how the wildtype
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(GTG), which is at a disadvantage during exponential growth, outcompeted the two
mutant strains, we measured how quickly various strains recovered from the lag phase
and transitioned to exponential growth. We report a delay of around 8-12 minutes for
ATG and ATG* mutants vs the wildtype (GTG) in LB medium that matched conditions
used in the competition experiment . The delay further increased by up to 25 -50
minutes for nutrient poor M9 media (Fig. 4B).
In summary, these results suggest that the wildtype (GTG) strain compensates for its
slower exponential growth rate by shortening its lag time. It is instructive to consider a
simple back -of-the-envelope calculation using realistic estimates from Fig. 3. If the
long-term exponential growth rate of the wildtype (GTG) is 5% slower than that of the
ATG mutant but it emerges from lag phase with a 24 min advantage , then the ATG
strain would require 8 hours of uninterrupted growth to compensate for its delay and
reach the same population size as the quicker-to-emerge but slower-to-grow wildtype
strain. While Enterobacteria growth cycles are certainly more complex in the wild than
in our lab setup, this simple estimate shows that the strategy of shortening the lag time
could be competitive in practice.
Discussion
The process of turning genes ON and OFF is fundamental to life , and regulatory
networks that control it have been the object of intense study in developmental,
evolutionary, molecular, and systems biology. Nevertheless, the question of whether
the properties of the basal expression in the OFF state of promoters can be selected
for was rarely, if at all, considered. We showed that the mar operon basal expression
mode is highly dynamic, consisting of pulsatile gene expression at the single cell level,
and we measured the fitness consequences of such dynamics. To this end, we used
synonymous codon mutations for the start codon of marR, which we uncovered to be
evolutionarily conserved and tightly coupled to the interlocked regulatory architecture
of the marRAB operon.
We find that the weaker, non-canonical, GTG start codon act s as a regulatory knob
ensuring the presence of sporadic transcription pulses that are much less pronounced
or absent if marR and marA are translated with similar speed, as is the case in the
various start codon mutants we measured. The GTG start codon endows the wildtype
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basal expression mode with several unique characteristics : highest expression
variability due to highest “signal -to-noise” ratio of individual pulses, transient growth
advantage during a pulse, and synchronized expression during transition to the
induced state. Altogether, these quantitative expression characteristics lead to a
robust fitness advantage for the wildtype that becomes apparent in environments in
which cellular physiology switch es between exponential , lag phase, and stationary
growth. More broadly, this points to the involvement of marRAB operon in general
growth homeostasis.
While the marRAB operon can be induced by various metabolic intermediates, no
main physiological inducers have been characterized so far (28). However, the
presence of nearly identical mar systems across most Enterobacteria and the
remarkable conservation of the non-canonical GTG start codon of marR suggest that
the cellular processes controlled by the mar operon confer adaptations that are most
likely linked to Enterobacteriaceae physiology and their ecological niche (29).
Essential to this ecological niche is that bacteria spend a significant fraction of their
existence inside the guts of various animals. The quasi regular intervals of feeding that
are characteristic of the gut environment point towards a selective pressure for
optimizing cycles of lag, exponential , and stationary phases. Our results support the
idea that the mar pulsatile basal expression mode could be an essential building block
of this physiological adaptation to the intestinal lifestyle, allowing the basal expression
mode to be evolutionarily maintained.
A supporting observation for this hypothesis is the quantitative match between the
multiple timescales related to the mar operon in Escherichia coli : the typical time
between two mar pulses, the timescale at which the shorter lag of wildtype would
balance out its slower growth compared to marR start codon mutants, and the daily
feeding cycles, which are all on the order of ~10 hours. In the bet hedging framework,
this could represent a quantitative case of frequency matching: yet instead of thinking
of very rare stresses (such as antibiotic exposure) , the system has evolved to match
the frequency of environmental transitions typical for the ecological niche of
Enterobacteriaceae. Constant selective pressure to maintain the mar basal expression
mode for such physiological raison d’etre would enable the same system to be co -
opted for other hypothesized functions in its induced mode : to generate diversity
necessary for bet -hedging against much rarer stresses, or to induce costly stress -
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resistance genes when needed , and thus allow MarA to b ecome a global
transcriptional regulator. In addition to cyclic nutrient availability, t he gut ecology is
also characterized by host defense mechanisms and antimicrobials secreted by other
microbiota. Thus, co-opting regulation of physiological adaptation to cyclic nutrient
availability and antibiotic resistance mechanisms would be consistent with the global
regulatory role of mar (30).
The naming of the mar operon – an acronym for multiple antibiotic resistance coined
over 40 years ago by George and Levy (9, 31) – was based on the conferred broad
antibiotic resistance phenotype in the induced state (32). By now, it is clear that the
mar operon has not evolved “for” antibiotic resistance, which is at best an ancillary
function – albeit one of fundamental importance for public health . To control it and
counteract the loo ming multi-drug resistance epidemic , our work demonstrates the
acute need to understand the role of marRAB operon in bacterial physiology and
growth homeostasis, in line with Seoane & Levy who argued early on for an alternative
role of mar as a conveyor of ‘multiple adaptational response’ (10).
Materials and methods
Computational Genomics
Genomes of Gammaproteobacteria were downloaded from RefSeq database (33)
using the PanACoTA pipeline (34), module ‘download’ with filters: genome collections
= ‘Reference’ or ‘Representative’; assembly level = ‘complete genomes’ or
‘chromosome’ or ‘scaffold’. Then we used the PanACoTA module ‘annotate’ to predict
and functionally annotate CDS in the genomes.
marR genes were found using HMM for OG #1S2AX comprising E.coli marR (UniProt
entry ID:P27245), from eggNOG5 database with e-value threshold 10-35 (35, 36). We
additionally used HMMs for OG #1S26B and OG #1RPCJ which contain slyA (UniProt
entry ID:P0A8W2) and mprA (UniProt entry ID:P0ACR9), correspondingly to include
into the analysis more members of marR family in order to better resolve the gene tree
(Fig. S1).
To find ribosomal binding sites (RBSs) and correct putative errors in gene start
prediction, marR upstream regions of 100 bp length were extracted and aligned taking
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into account the known RBS of marR in E. coli (20). Four downstream genes were
used for the annotation of the marR genomic context.
The alignments of protein sequences and gene upstreams was made using Muscle v.
3.8.31 (37). The gene trees were constructed using IQtree v.1.6.12 with 1000
bootstrap runs (38). Visualization and annotation of the trees was done using Itol
server (39). The logo of PmarRAB upstream was created usin g WebLogo 3 web -
based application (40).
Strains and Media
All experiments were performed using the derivate of Escherichia coli K-12 MG1655
strain, with incubations at 37°C and aeration.
Lysogeny Broth (LB) media was used in all experiments except when noted. For
plates, 1.5% agar was added to LB. For microfluidics experiment, 0.01% Tween 20
was used to prevent attachment of bacterial cells to the PDMS device. Media and
antibiotics were from Sigma, Sylgard for making PDMS was from Dow Chemicals. List
of strains and primers used in this study are listed in (Table ST1, ST2).
Strain Construction
The DIRex method was used to generate scar -free point mutations for changing the
start codon and R BS for marR (41). Briefly, the method uses a single λ Red
recombineering step (pSIM5-Tet temperature sensitive) and a semi -stable AcatsacA
intermediate. The desired changes were introduced through custom-made oligos with
a homology to the target region. The AcatsacA cassette codes for three genes which
help in selection and counter selection steps a) cat leading to chloramphenicol
resistance (use 12.5 mg/L chloramphenicol to select for AcatsacA formation), b)
amilCP, present as dual inverted copies, causing AcatsacA+ colonies to be of blue
color helping in selection, and c) sacB, sucrose sensitivity gene (use 5% s ucrose to
select for self-excision), helps in counter selection generating scar-free mutants.
We use a constitutive chromosomal PR-mCherry reporter as control (22). Pmar-venus
reporter is on a low copy plasmid (23).
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Microfluidics Set Up and Imaging
We used the same microfluidic chip as previously used in our lab (22). The length of
the growth channel is 24µm and the width of these growth channels ranged from
1.2µm to 1.4µm and the height is approximately 1.1µm. To make mother machine
devices from Epoxy replica, we used PDMS in a ratio of 10:1 (Sylgard and curing
agent) and mixed and degassed in Thinky Machine (THINKY ARE-250) for 2 minutes
each. Further degassing was done after pouring on the epoxy replica using a
desiccator. Curing of PDMS was do ne overnight in an incubator at 80°C. Next, the
PDMS device was peeled out carefully from the epoxy replica and holes were punched
using an electro polished 18ga needle. The device was cleaned with scotch tape and
the cover slip (24mm x 50mm, thickness 0.1 7mm+/-0.005) was cleaned with
isopropanol. Device was then bonded using plasma bonding technique (Harrick PDC-
002 plasma cleaner, medium power for 1 min, for both PDMS and cover slip) followed
by gently placing on the cover slip. After bonding, it was kept on a hot plate (~80°C)
for one hour.
Before starting the experiment, the device was wetted with 0.01% Tween 20 for a
couple of minutes followed by blowing out. This step also ensures that the bonding is
leak-proof. Next, a pellet from exponential grown cells (overnight culture of the desired
genotype in LB plus Tween 0.01% is grown and sub -cultured 1:1000 and grown for
around four hours and centrifuged at 4000 Xg for three minutes) were loaded using a
pipette. After confirming the loading of cells by checking under the scope, media flow
was connected with polyethylene tubing (BTPE -50Instech). Image acquisition settings
were kept identical throughout all experiments (Exposure time for mCherry: 200ms
and venus: 300ms) with an image interval of 90 secs. Imag es were acquired with an
Olympus IX83 inverted fluorescence microscope, a 100X NA 1.45 objective, with a
custom made autofocus, and a Hamamatsu Orca Flash4.0v2 camera (42).
Image Analysis
Pre Segmentation:
Images of the channel areas within the microfluidic chip were cropped and background
and shading corrected (42).
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Segmentation
Bacteria segmentation was carried out using Cellpose (43). A custom model was
trained on a dataset of over 2000 hand-labeled cells selected from a diverse range of
expression levels and morphologies.
Tracking
A customized Matlab script was employed for tracking, generating lineage trees, and
conducting further analyses. In the initial stage, the microfluidic channels were
automatically detec ted, and cells located outside the channels were eliminated. A
heuristic method was applied to address missing cell detection and correct under -
segmentation errors. Subsequently, each channel underwent individual tracking: The
link cost function that establishes connections between cell detections at consecutive
time points to form tracks, took into account the specific characteristics of the mother
machine. This was achieved by assigning a higher link cost to reverse movement,
instances where cells swapped positions within the channel, and a reduced overlap in
cell segmentation compared to the segmentation at the previous time point. Cell
divisions were identified when two cells overlapped with the same segmentation from
the preceding frame. Empty channels were omitted for clarity.
Growth rate
We defined and quantified the growth rate and the promoter activity as done by Kim
et al. (6, 44). The growth rate 𝑔 is calculated as the logarithm of the ratio of the area
of the cell immediately prior the cell division 𝐴𝑑 and the area at the initial time point
following the last cell division 𝐴0 : 𝑔 = log (
𝐴𝑑
𝐴0
) /∆𝑡.
As we did not observe any long term change in the average cell size, and we set
(
𝐴𝑑
𝐴0
) = 2.
According to this definition, it can be inferred that the growth rate remains constant
between individual cell divisions.
Instantaneous elongation rate and cell division events
The instantaneous elongation rate 𝑅 is calculated as 𝑅 =
𝑑𝐿
𝑑𝑡. We derived the length 𝐿
from a linear fit of the cell segmentation area, rather than an ellipse fit to the segmented
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cell, as this method was more robust against segmentation errors. To smooth out the
growth rate, we applied a running average over a 15 -minute window. Cell division
events were identified by employing criteria that recognize when the segmented area
of a cell approximately halves during division. Cell division events were excluded from
the growth rate analysis.
Pulse detection and Analysis
The distribution of combined raw fluorescence intensities is accurately modeled as a
sum of two distinct Gaussian distributions. This modeling provides a natural cutoff
value, effectively differentiating baseline expression fluctuations from stochastic pulse-
like expressions. Using this cutoff value, we perform a z -transform on each cell's raw
fluorescence intensities, utilizing the mean and standard deviation of the baseline
expression. Pulses are identified by applying a threshold to the z-score (Fig. S4). This
Method
is employed for both fluorescence derived from the Pmar-venus promoter
fusion and the chromosomal constitutive PR-mCherry expression. Additionally, we
conducted a stochastic simulation replicating the characteristics of the constitutive
expression. Analysis of the pulse length histogram in all three cases supports a cutoff
for determining the duration of genuine gene express ion pulses: Pulses shorter than
15 minutes are deemed random baseline fluctuations, whereas longer pulses,
indicative of actual gene expression, are compiled for further examination. A linear
regression on the inverse slope of the histogram of true pulses provides an average
pulse length comparable to the directly calculated mean pulse duration. We also fitted
Poisson distributions to the number of pulses per cell.
For visualization, pulses are aligned temporally, setting the start time of each pulse to
t=0 and sorting them by duration. This approach allows for the calculation of the
average intensity over time from Pmar-venus by normalizing each pulse's intensity to
its peak value. However, the transient pulse intensity is affected by two factors: the
transient nature of each pulse and the distribution of pulse duration. To isolate the
impact of varying pulse duration, we normalize the duration of each pulse to one.
Consequently, the ensemble average of all duration -normalized pulses reveals the
stereotypical shape of a pulse.
Inflection point
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In order to quantify the synchronicity of induction, the inflection point of the
fluorescence 𝐼 was determined by finding the peak of
𝑑𝐼̅
𝑑𝑡 with 𝐼̅ being the ten min
moving average of 𝐼. The induction magnitude 𝑀, (= fold change of 𝐼) is given by the
ratio of the average 𝐼 at a fixed time interval before and after the inflection point:
𝑀 = 𝐼(𝑡 + ∆)̅̅̅̅̅̅̅̅̅̅̅ 𝐼(𝑡 − ∆)̅̅̅̅̅̅̅̅̅̅̅⁄ .
Statistical tests
We performed rank-sum tests for pairwise comparison of wildtype (GTG) with mutants
for Pmar-venus and PR-mCherry expression. For elongation rate during pulse and
elongation rate upon induction, we performed t-tests.
Competition Experiment
We used two different marker methods: fluorophores (mCherry and Venus) (Fig. 4A)
and resistance (chloramphenicol) (Fig. S10). Each genotype was grown overnight in
four replicates for each marker separately. Competitions were set up as head-to-head
competitions of two genotypes, with dye-swap controls, where each marker was used
for half of the replicates. The optical density (OD) was measured and pairwise cultures
(wildtype (GTG): wildtype (GTG), wildtype (GTG):ATG, wildtype (GTG):ATG*) were
mixed in a 1:1 ratio, diluted 1000x as to permit for ten generations of growth and
incubated at 37°C for 24 hou rs. The 1000x -fold dilution was repeated for three
consecutive days so that the genotypes were in direct competition for a total of 40
generations. In parallel, the cultures were plated on LB agar for CFU quantification of
the genotypes. Plates were imaged using a custom -build fluorescence macroscope
and fluorescent colonies were counted using ImageJ (42). When using the resistance
markers, cells were plated on both LB agar and LB agar with chloramphenicol.
Selection coefficients were calculated as the slope of the linear model fit to the log
ratio of genotypes (using natural log) over generat ions of competitive growth. We
corrected for fitness costs of the markers by subtracting the baseline selection
coefficients of control competitions where the same genetic background was
competed against itself with different markers. We then used a gener alized linear
model with genotype as fixed factor and experiment as random factor and a post-hoc
test with user -defined contrasts to statistically test for significant selection between
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genotype pairs and estimate the selection coefficient. These analyses were done
using the statistical software R and the packages multcomp and nlme.
Population measurements of growth rate and lag phase
Growth rate and growth lag were measured by strongly diluting overnight cultures into
0.3 mL of fresh media in Honeycomb pl ates and measuring OD during exponential
regrowth at 37°C with vigorous shaking every 4 min using the Bioscreen C plate reader
(OY Growth Curves, Helsinki, Finland; Ref. FP -1100-C) system for at least 6 hours.
Exponential growth rates were estimated as doublings per hour using the slope of the
linear model fit to the plot of log -transformed OD over time in hours during the
exponential growth phase. Accuracy of exponential growth was assess using R 2
values of the fit, which was >0.94 for all growth curves (average 0.98). Lag phase was
estimated as the time to restart exponential growth of OD, for which we used the time
at which OD reached above the detection threshold of OD = 0.004. Time delay of
mutant strains over the wild type strain was calculated by subtracting the average lag
time of the wild type from the lag times of the mutants. To allow for estimation of lag
phase growth curves were started with equal ODs. ODs of overnight cultures were
normalized using OD immediately before inoculation into prepared Honeycomb plates.
Without this correction, start growth time is dependent on starting cell density (45). We
used ANOVA to test for significant differences in growth parameters between strains
and three different growth condi tions, where “LB, fresh” refers to regrowth in LB
following dilution of a 16h overnight culture in LB, “LB aged” refers to regrowth in LB
following dilution of a 48h culture in LB and “M9 glycerol aged” refers to regrowth in
M9 minimal medium with 0.2% glycerol as the sole carbon source following dilution of
a 48h culture in that medium.
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Author contributions:
Conceptualization: KJ and CCG
Methodology: KJ (microfluidics, image analysis, competition and regrowth experiments), RH
(analysis script), OOB (computational genomics), RR (competition and regrowth
experiments)
Investigation: KJ (microfluidics, image analysis, competition and regrowth experiments),
OOB (computational genomics), RR (competition and regrowth experiments)
Visualization: KJ, RH, OOB, RR, GT, CCG
Funding acquisition: CCG
Project administration: KJ and CCG
Supervision: GT and CCG
Writing – original draft: KJ
Writing – review & editing: KJ, GT, CCG, RR, OOB, RH
Competing interests: Authors declare they have no competing interest.
Classification: Major - Biological Sciences and Minor - Systems Biology, Microbiology
Keywords
Gene regulation, basal expression, mar operon
This pdf file contains:
Main Text
Figures 1 to 4
Table 1
Acknowledgements
KJ thanks B. Wu, I. Tomanek, K. Tomasek for detailed discussions on
the manuscript, all other members from the Guet laboratory for helpful feedback, and R. Chait,
& IOF IST Austria for helping with the microscope.
Funding: KJ acknowledges IST fellowship IC1006FELL02, RH was supported in part by CZI
grant DAF2020-225401 (10.37921/120055ratwvi) from the Chan Zuckerberg Initiative DAF,
OOB acknowledges FWF Grant ESP253-B, RR acknowledges FWF Grant 10.55776/ESP219,
CCG acknowledges FWF I5127-B.
Data availability: All data to understand and assess the conclusions of this research are
available in the main text and supplementary file. Raw data is at the IST repository.
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Fig. 1. Distribution of marR start codons across Enterobacteriaceae. (A)
Maximum likelihood phylogenetic tree of marR in Gammaproteobacteria. The tree was
constructed using other members of marR family (full tree in Fig. S1). The marRAB
operon is only present in Enterobacteriaceae, while in other bacterial families, a marR-
type transcription factor was found in conjunction with the genes forming an emrAB-
type efflux pump. (B) Schematic representation of marRAB operon (top), strains
constructed (middle), and reporter plasmid (bottom).
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Fig. 2. Characterization of Pmar-venus basal expression dynamics. (A)
Kymographs of wildtype (GTG) and mutants (TTG, ATG, and ATG*) showing Pmar-
venus expression for a representative mother cell imaged in a microfluidic channel
over 10 hours. (B) Mean Pmar-venus expression in wildtype and mutants (Mean and
SD over cells, p<10-4, rank-sum test). (C) Coefficient of variation (CV) of Pmar-venus
expression in wildtype and mutants compared against CV of control (constitutive
reporter PR-mCherry expression). Pmar-venus expression CV in wildtype is
significantly different from mutants (mean and SD over cells, p<10 -4, rank-sum test).
(Pmar-venus expression CV is also significantly different from the corresponding PR-
mCherry control for each strain, p<10-4, rank-sum test). (D) Distribution of Pmar-venus
expression is modeled as a sum of two Gaussian distributions, i.e., baseline and pulse
component, for wildtype. Magenta circles represent the amplitudes of individual
extracted pulses and magenta circle with an error bar is the mean amplitude + SD over
individual pulses. (E) Pulses for wildtype sorted by duration and pulse start is aligned
to 0 min on the x -axis. (F) Distribution of the number of pulses per cell in wildtype in
Dataset 1 (181 cells, 600 mins) and Dataset 2 (131 cells, 2120 mins) showing
significant deviation from Poisson. Error bars represent √(Count). (G) Log histogram
of pulse durations. Mean pulse duration (in caption) was derived from the inverse of
the slope of the linear fit. (H) Log histogram of time intervals between two consecutive
pulses. Inset shows the corresponding PDF.
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Fig. 3. Elongation rates and Pmar-venus expression quantification in baseline
(A to C) and induced state (D -G). (A) Single-cell elongation rates in the baseline
state (individual cell data (circles) with mean (square) and SD). Wildtype elongation
rate is significantly different from TTG & ATG (p<10 -4, rank -sum test) and ATG*
(p<0.05, rank -sum test). (B) Raw data showin g instantaneous elongation rate
normalized to the long-term individual cell average and aligned to pulse start (vertical
magenta line). Pulse duration is denoted in magenta as well. (C) Mean and SE of
elongation rates (normalized to the long-term average elongation rate of the respective
cell) in 20 min windows (80 mins before and after the pulse start) for wildtype and
mutants. The shaded regions illustrate the start of the pulse and the mean pulse
duration in each strain. Stars indicate significant deviat ion from the long -term
elongation rate (t -test). (D) Mean and SE of elongation rate change upon induction
with 2mM salicylate relative to their respective baselines shows similarly-sized fold
change relative to pre-induction baseline and statistically significant reduction across
strains (p<10-4, t-test). (E) Representative raw data (Pmar-venus expression) showing
the transition from baseline to 2mM salicylate -induced state. (F) Individual cell data
(circles), mean (square), and SD of fold change of Pmar-venus expression upon
induction with 2mM salicylate, horizontal line shows a comparison with pulse mean
SNR in the baseline state. Wildtype expression fold change upon induction is
significantly different from TTG & ATG* (p<10-4, rank-sum test) and ATG (<0.05, rank-
sum test). (G) Individual cell data (circles), mean (square), and SD of variability in
induction time quantified by the time taken by expression to reach the inflection point
for each cell. Wildtype is significantly different from all three mutants (p<10-4, rank-
sum test).
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Fig. 4. Competition and regrowth dynamics of wildtype (GTG) over ATG and
ATG* mutants. (A) Selection coefficient (square) was quantified from the slope of the
log ratios of competitor over wildtype strain per generation (circle represents mean
and error bar represents SE over squares). ATG and ATG* lost the competition against
the wildtype as d etermined by negative selection coefficients that were significantly
different from the wildtype-wildtype control competition (s = -0.01, p<10-2 for ATG; s =
-0.02, p<10-4 for ATG*, post hoc test and GLM) but not significantly different from each
other (s = 0.007, post hoc test and GLM). mCherry (empty squares) and Venus
fluorophores (filled squares) were used as markers to select for the respective strain
background, and seven biological replicates across two independent experiments,
including fluorophores swaps, were performed for each combination. (B) Time to
regrow from stationary phase. Data points (square), mean (circle), and SE of lag time
to initiate exponential growth when revived from 16 hours overnight LB (fresh rich
media) culture, 48 hours LB cu lture (aged rich media), and 48 hours old M9 glycerol
culture (aged poor media). Analysis of variance of lag time delays for the three
experimental regrowth conditions showed a significant effect of strain (F = 9.4, p<10-
4, ANOVA) and a significant effect of regrowth condition (F = 7.8, p<10-2, ANOVA).
Sample size was three to five biological replicates per condition.
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30
Table 1. Characterization of pulse expression, amplitude, duration, and
frequency in wildtype (GTG), TTG, ATG, and ATG* strains.
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(which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is
The copyright holder for this preprintthis version posted October 1, 2024. ; https://doi.org/10.1101/2024.09.30.615870doi: bioRxiv preprint
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