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Tröndle Kevin, et al.
           membrane lysis occurs, which leads to the release   Ψ  as output.  The hyperparameters of the training
           of LDH. Since the lysis of the cell membrane is     pipeline were tuned via Bayesian Optimization [20] ,
           considered the final step of cell death, this assumption   as implemented by (Bayesian Optimization with
           is plausible. A cisplatin serial dilution was prepared in   Hyperband [BOHB] [20] ).  The hyperparameter search
           REGM, and the treatment was conducted according     space and the optimum configuration found by BOHB
           to the process and timeline described in  Figure  1C.   are shown in the  Table S2.  The following results
           Three  replicates  of  each  treatment  condition  were   originate from this configuration. The dataset was split
           used  for  microscopic  observations.  For  the  KIM-1   for training and testing in the proportions of 80 – 20%,
           nephrotoxicity marker expression assessment, samples   respectively. The images were cropped to 450 × 450 px
           were fixed (PFA 4%, 1 h) before immunolabeling was   with the spheroid positioned at the center of the image.
           performed. Representative false-color images of the   Online data augmentation was used. At each epoch, the
           observed spheroid morphologies for different treatment   images were randomly transformed within the ranges
           concentrations are shown in Figure 3. The observations   as shown in the Table S3. Training was conducted for
           showed a disintegration of the spheroids at treatment   90 epochs, which resulted in a test mean squared error
           concentrations c Cisplatin  ≥ 32 µM. The outer boundary of   of 7.67×10 . Figure 4B shows the predictions made by
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           the spheroids was found to be disrupted in the bright   the network on the test dataset. It is possible to see that
           field  and  GFP  channel,  and  no  intact  cell  layer  was   it performs well to differentiate spheroids with Ψ < 30%
           outlining the spheroids. The KIM-1 signal was detected   from  those  above  80%.  Nevertheless,  it  fails  to  tell
           throughout the entire spheroid structures. For lower   apart rates above 50%. Visual inspection of the dataset
           treatment concentrations (c Cisplatin   ≤  16  µM), a distinct    demonstrated  that  this  was  indeed  a  difficult  task,  as
           signal distribution was detected.  The KIM-1 positive   shown in Figure 4C. The accuracy of this network can
           signal was exclusively located at the central lumen of the   be appreciated by framing the regression problem as
           spheroids. Furthermore, we observed an intact cell layer
           surrounding the lumen without positive KIM-1 signal.   a  classification  by  binning  the  regressor  outputs  into
           This indicated that the KIM-1 proteins were transported   discrete intervals.
           out  of  the  cells  and  accumulated  in  the  lumen  of  the   We  report  the  results  of  2  classification
           spheroids. This accumulation was later found to undergo   formulations: first, a 3-class problem, where classes are
           a decline with decreasing treatment concentrations. The   divided based on death rate, that is, < 33.3%, between
           untreated control showed very low levels of KIM-1   33.3%  and  66.6%,  and  more  than  66.6%;  second,  a
           positive signals. The KIM-1 unlabeled samples showed   binary classification to distinguish 2 classes, either below
           no detectable KIM-1 signals, confirming the specificity   or above  the  IC . The  results are  shown as confusion
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           of  the immunolabeling  process.  This observation was   matrices in  Figure  4D  and  E.  The 3-class problem
           in good accordance with physiological observations in   achieved a balanced accuracy (mean per-class accuracy)
           patients, where an increase in KIM-1 signal at the apical   of 78.7%. As expected, the main issue was to correctly
           side of the renal tubules was detected as a consequence of   differentiate spheroids with intermediary death rates from
           kidney injury. This, in turn, led to an increase of KIM-1   those with high death rates. On the other hand, the binary
           concentrations in the urine, indicating an active transport   classification  achieves  a  balanced  accuracy  of  98.2%,
           and release of KIM-1 into the nephron lumen [19] . Thus,   which confirms that the network can differentiate extreme
           the accumulation of KIM-1 molecules found here hints   values of death rate. These results are encouraging for
           at a basic physiological transport mechanism within the   a  proof-of-concept  study,  but  in  the  short  term,  small
           developed spheroid models.                          improvements should be attempted to further increase the
                                                               network’s accuracy. The first step is to collect a dataset
           3.5. Deep learning                                  with good quality bright-field images. These images may
           Finally,  we  investigated  the  feasibility  of  automatic   contain vital information to improve the performance on
           determination of  Ψ of single spheroids from their   the medium to high death rate range, where our network
           morphological appearance in microscope images.      performed  the  worst. Second, the dataset  should cover
           A schematic process diagram is shown in Figure 4A.   the intermediate  death rate values better.  The dataset
           For this purpose, we developed a deep learning system   used in this study has a uniform distribution of cisplatin
           based on CNN trained via supervised learning. We used   concentrations (in the log scale), but due to the sigmoidal
           fluorescence images from the GFP channel. The images   profile  of  the  dose-response  curve,  this  distribution
           were labeled with their Ψ values, as estimated by the dose-  translates  to  a  sparse  sampling  of  intermediate  values
           response curves (Figure 2). The network was trained   of death  rate.  The  current  lack  of training  data  for
           as a regressor that takes an image of a single spheroid   intermediate death rates is very likely to be reducing the
           as input and a scalar corresponding to its estimated   performance of the deep learning network.

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