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Legends to Movies S1 and S2
Movie S1: Biofilm growth without irradiation.
Typical movie from transmitted light time -lapse microscopy of a non -irradiated PAO1 biofilm
growing in a PDMS-glass channel (1mmx0.25mmmx30mm) supplied with M9CA medium. Focus
is on top surface of the channel using 40x objective (NA 0.6). Acquisition frequency is 6 images
per hour.
Movie S2: same as movie S1 for a different position.
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18
Supplementary Information for
Experimental and theoretical approaches reveal that antimicrobial blue light killing
efficiency decreases with biofilm growth in a Pseudomonas aeruginosa model.
Giacomo Inseroa,
, Nidia Maldonado-Carmonab,c,
, #, Thomas Panierb, Giovanni Romanoa, *, Nelly
Henryb,c, *
a University of Florence, Department of Experimental and Clinical Biomedical Sciences “Mario
Serio”, Florence, Italy, b Sorbonne Université, CNRS, Laboratoire Jean Perrin, LJP, F-75005
Paris, France, cSorbonne Université, CNRS, Inserm, Institut de Biologie Paris-Seine, IBPS,
F75005 Paris, France
these authors contributed equally to the manuscript.
#current affiliation: University of Florence, Department of Experimental an d Clinical Biomedical
Sciences “Mario Serio”, Florence, Italy
*Nelly Henry, Giovanni Romano.
Email:
[email protected],
[email protected]
This PDF file includes:
Supplementary information I to VI
Figures S1 to S6
Tables S1 to S3
Legends for Movies S1 and S2
Supplementary material References
Other supplementary materials for this manuscript include the following: 1
Movies S1 to S2
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19
Supplementary Information I: Single cell absorption coefficient.
Cell absorption coefficient, 𝜇, has been measured by considering transmission microscopy images
(Figure S6). PAO1 cells were deposited on a thin agar layer in between a glass slide and a
coverslip, then imaged in brightfield (63x, Nikon). Images are collected in ten different fields of view
and the intensity per pixel of the small cell patches are analyzed individually (as shown in the yellow
box). The background intensity (I0) is measured on cell-free regions of 10 x 10 pixels, while the light
intensity transmitted through one cell diam eter (I) is considered to be equivalent to what is
transmitted through a cell monolayer. Three spots of 3 to 4 pixels are measured over a single cell
as shown on the right insert. The results are shown in Table S1. The value of 𝜇 is deduced from
these measurements from 𝑙𝑛 𝑙𝑛
%#
% = 𝜇 𝑙 . Using 𝑙 = 1, we obtain 𝜇 = 0.22 ± 0.06 per cell layer.
Figure S1: Cellular absorption coefficient (𝜇). Transmitted light images of exponentially growing PA01 cells
(left). Inset is represented in the right image (see text for details).
Table S1: Microscopy measurement of the absorption coefficient of one cell height.
Field of view I0 (SD)a I (SD) 𝜀9 b
#1 812 (39) 673 (32) 0.18 ±0.02
#2 340 (12) 286 (6) 0.17 ±0.01
#3 113 (4) 86 (6) 0.27±0.1
#4 707 (23) 595 (23) 0.17 ±0.012
#5 676 (33) 535 (39) 0.23 ±0.018
#6 1607 (26) 1279 (59) 0.23±0.062
#7 958 (35) 777 (24) 0.21±0.066
#8 702 (29) 510 (36) 0.32±0.12
#9 566(23) 456 (26) 0.22±0.1
#10 2589(67) 2084(144) 0.22±0.093
µ =0.22±0.06
aThe measurement were performed at different intensities of incident light to rule out possible bias
due to illumination.
bSD on µ is calculated from the sum of the relative SDs on I0 and I.
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20
Supplementary Information II: Conversion of biofilm development time into biofilm
thickness.
In order to compare the experimental data with the model we transposed the time-dependent curve 𝐾! = 𝑓(𝑡)
to a biofilm thickness-dependent curve 𝐾! = 𝑓(𝐻) where 𝐻 is the thickness of the biofilm expressed in number
of cell layers. To build time-thickness correspondence, we rely on the Beer -Lambert law which states that
optical density grows linearly with light path length, or equivalently that µOD proportionally varies with the
number of cell layers (Figure S2).
Figure S2: Conversion features. The Beer-Lambert law can be used to relate the µOD with the number of
layers n as explained in panel (a). Knowing the monolayer stage (n=1) corresponds to the kink of the biofilm
growth curve, we derive the conversion factor that links µOD and 𝐻, resulting to be 0.045±0.005 µOD units
per biofilm layer (average of three biological replicates) and allowing to relate µOD, t and n as marked by the
black arrows (c) Then the correspondence between the KE value at the specific time and the corresponding
cell layer thickness is transitively established as shown in panel c, providing the data to plot 𝐾! = 𝑓(𝐻) curve
(Figure 6e of the main text).
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Supplementary Information III: 𝜒2 test, Numerical procedure.
The experimental data report the killing efficiency 𝐾5 : , with associated absolute error 𝛥𝐾5:, relative
to a set of 𝑁 different 𝐻: values. For each of these 𝐻: values, the theoretical killing efficiency
𝐾5
-;8<(𝐻:)was also calculated using the following formula:
𝐾5
-;8<(𝐻:, 𝑛, 𝜇, 𝑘= ) =
3
7(
∫ B1 − 𝑒*+"∙4#∙8$%'
C
67(
/ 𝑑𝑧
at a specific light dose, with the other parameters assuming values from any of the possible
combinations obtained by varying the parameters within the following ranges:
𝑛 : varying between 1 and 12 (in steps of 1)
𝜇 : varying between 0.1 and 1.0 (in steps of 0.1)
𝑘= ∶ varying between 0.002 and 0.030 (in steps of 0.002 up to 0.012 and then in steps of 0.005
starting from 0.015)
The Chi-squared (𝜒>) value was obtained by the following formula:
𝜒>( 𝑛, 𝜇, 𝑘=) = ∑ (@)
*+,-(7(,6,0,+" )*@)( ) .
B@)(
.
C
:D3
for each combination of the 𝑛, 𝜇, 𝑘= parameters.
A typical result of this calculation is shown in Figure S8, showing the 𝜒>( 𝑛, 𝜇, 𝑘=) values obtained
for a light dose of 2007 J/cm2 and for 𝑛 = 1 and 𝑛 = 10.
Figure S3: 𝜒&( 𝑛, 𝜇, 𝑘') results for a light dose of 2007 J/cm², shown for 𝑛 = 1 (a) and 𝑛 = 10 (b).
The other parameters vary according to the axes in the figure. The black star indicates the
parameter set corresponding to the minimum Chi-squared value. The white crosses represent
the parameter values used to evaluate the Chi-Squared.
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Supplementary Information IV: Irradiance determination.
The mean irradiance and dose values corresponding to 405 nm irradiation were estimated by the
following methodology. A fluorescent plastic slide (Chroma, ref. 92001) with a uniform fluorophore
density was imaged by a 40x, NA = 0.6 objective (Nikon) with ORCA -Fusion BT Digital CMOS
camera (Hamamatsu), taking care to avoid image saturation and photobleaching of the fluorophore.
The corresponding image was calibrated to obtain the µm/pixel ratio value by imaging a stage
micrometer in the same conditions. The numerical matrix corresponding to the spot image (370 x
370 µm, 2072 x 2072 pixels, 16 -bit gray levels) was analyzed by the Origin® software and fitted
with the following function:
𝑧(𝑥, 𝑦) = 𝑧/ + 𝐴 𝑒𝑥𝑝 𝑒𝑥𝑝 ( −
() *) #).
>E. −
(F*F#).
>E. )
obtained by adding a constant background z_0 to a bi-dimensional Gaussian function with
amplitude A, centroid coordinate (x0, y0) and standard deviation w. Following this, we derive the
background- free and normalized function (over the whole x-y plane):
𝑓(𝑥, 𝑦) =
3
>GE. 𝑒𝑥𝑝 𝑒𝑥𝑝 ( −
() *) #).
>E. −
(F*F#).
>E. )
To properly quantify the amount of power received by the area imaged in the experiments (region
B, area S(B) = 215 µm x 165 µm, Figure S4), we calculate the integral of f(x,y) over the imaged
area. Knowing that the illumination spot is centered with respect to the imaged region B (meaning
x0 = 0 and y0 = 0), we evaluate the following integral over B:
𝐼 = ∬H
𝑓(𝑥, 𝑦, 𝑥/ = 0, 𝑦/ = 0) 𝑑𝑥 𝑑𝑦 = 0.425
This means that the biofilm imaged region receives 42.5% of the whole spot power P. This last was
measured by a power meter at the exit of the microscope objective (40x) and corresponds to 15
mW. The mean dose was then calculated by D = 0.425 x P x tirr / S(B), being tirr the irradiation time
and S(B) the imaged region area. For tirr =111 s we obtain D = 2007 J/cm2.
Figure S4. Fluorescent image corresponding to 405 nm excitation (A, 370 µm x 370 µm); the dotted line
rectangle indicates the biofilm imaged region (B, 215 µm x 165 µm).
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23
Supplementary Information V: Image Analysis.
Transmitted light and fluorescence movies provide optical signals as a function of time. In order to
move from these raw data to biofilm parameters, we developed an image treatment and analysis
procedure enabling to convert the micro -optical density and fluorescence intensities in cell
numbers. From previous work (1, 2), we already know that the micro -optical density (µOD) is
proportional to the number of cells building the biofilm up to a value of 0.7 after which saturation
occurs. Similarly, GFP fluorescence intensity— when gfp gene is under the control of a constitutive
promoter as it is the case here — also reports the number of cells at the lowest cell densities at
which the consumption of oxygen is not too high. In the linear regime, GFP and µOD signals are
colinear.
GFP images analysis for µOD calibration.
To calibrate the GFP signals in terms of µOD, we first analyze the low density GFP images as
follows:
(i) We first determine 𝐹IJ$ = 𝐼IJ$ − 𝑏K, where 𝐼IJ$ is the mean fluorescence intensity per pixel of a
raw image and 𝑏K the fluorescence background which is the mean intensity per pixel in regions
without cells.
(ii) Then we determine the number of cells, 𝑁, contributing to 𝐹IJ$ using the following M atlab®
counting algorithm that binarizes the image taking into account the inhomogeneity of the