Method
and the so-called cold ischemia time (in short ‘ischemia time’), which denotes
the time it takes to freeze the tissue for permanent storage after its removal from the
body during surgery.
There is an ongoing debate about the consequences of ischemia on the quality of
biomolecules, especially in the context of characterising the molecular entirety of tissues
or cells (so-called ‘omics’). The corresponding findings vary widely [2, 3, 4] due to
insufficient numbers of samples which leads to an insufficient power to detect the impact
of ischemia time on the molecular composition of the materials. Hence, the impact of
ischemia time on the molecular characteristics of the tissue under investigation remains
unclear. Unlike any previous study, we use adequate sample sizes and statistical methods
to investigate the impact of ischemia time on target discovery.
Here, we focus on the impact of ischemia time on differential expression of mRNAs,
proteins and phosphoproteins using a carefully curated collection of patient-derived fresh-
frozen tissue samples and related multiomic data. This data base contains the breadth
of molecular characteristics of tumour and normal adjacent tissues from multiple can-
cer types. Specimens were analysed at the genomic, transcriptomic (TRX), proteomic
(PTX) and phosphoproteomic (PPX) level with focus on colon cancer (CRC). Analyses
were expanded to hepatocellular carcinoma (HCC) and non-small cell lung epithelial can-
cer (NSCLC), covering lung adenocarcinoma (LUAD) and lung squamous cell carcinoma
(LUSC).
To generate a baseline in our studies we set an initial filter to capture biomolecules
differentially expressed in the group of samples with shortest ischemia time available
(t < 10 min.). We then analyse the changes in expression of these biomolecules over
time with an emphasis on the impact of ischemia time on the target identification process,
rather than trying to model the tissue decay under ischemia.
We found that DNA characteristics are to a large extent unaffected even by the longest
ischemia times of samples collected. In contrast, the relationship of tumour and normal
tissue mRNA, protein and phosphoprotein expression is affected at increasing severity
1h ttps://www.cancer.gov/tcga
2
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(mRNA < p rotein < phosphoproteins). Based on the analyses we propose an ischemia
time cut-off threshold at 12 minutes that enables a sufficient amount of tissues to be
collected while avoiding a dilution of signals for biomolecules of interest.
2 Results
2.1 Cancer samples and differential expression
Data sets and samples used in the analysis are shown in Table 1, tumour stages are
shown in Table 2. Details on the samples can be found in the methods section.
We defined the ischemia time reference group as the group of samples with ischemia
times less than 10 minutes, the shortest time possible for the collection and storage of a
sufficient number of samples. To obtain differential biomolecule expression for mRNAs,
proteins and phoshoproteins for the shortest ischemia time group, we normalised the ex-
pression data and selected the differentially expressed biomolecules using non-parametric
Wilcoxon tests for paired samples to take into account the non-normal distribution of
the data [5] as described in the methods part. We adjusted the resulting P-values for
multiple testing and selected the biomolecule sets for mRNA, protein, and phosphopro-
tein using an αfdr level of 0. 01 and an effect boundary using the 5th and 95th percentiles
of the effect distribution. This yields 1,948 differentially expressed mRNAs, 794 proteins
and 1,846 phosphosites on which we focussed in the CRC cohort. Analogously, we in-
ferred 1,870 differentially expressed mRNAs, 523 proteins and 388 phosphosites in the
HCC cohort. In the LUAD cohort, we inferred 1,951 differentially expressed mRNAs,
805 proteins and 2,217 phosphosites, and in the LUSC cohort, we inferred 1,950 differ-
entially expressed mRNAs, 798 proteins and 1,919 phosphosites on which we focussed
in the subsequent analyses.
2.2 Differential expression over time in CRC
We performed a detailed analysis of differential (tumour versus normal adjacent tissue)
expression over time in CRC, and then applied the most relevant analyses to the other
cancer types listed in Table 1.
To evaluate whether DNA sequences remain unaffected by ischemia times as reported
by others [6], we analysed protein sequences for affecting mutations (PAM), the presence
or absence of gene deletions or amplification as well as gene truncations by comparing
the shortest available ischemia time tissue group with the longer ischemia time groups
for each genomic locus (see Methods). At αfdr = 0.01, only 0.09% of the proteins showed
a signal in the PAM submodality, and no change was found in the other DNA-derived
submodalities. This is likely based on random somatic difference in the genomic sequence
of the patients of the various time groups (see Discussion).
To obtain an overview of the effect of ischemia time on the selected biomolecules, we
initially partitioned the samples into groups of T ′
1 : t < 10, T ′
2 : 10 ≤ t ≤ 14, T ′
3 : 15 ≤ t ≤
19, T ′
4 : 20 ≤ t ≤ 24, T ′
5 : t ≥ 25 minutes of ischemia time duration intervals. We then
used hierarchical clustering to assess the changes in biomolecule expression for the three
3
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Table 1: Number of tumour samples per ischemia time interval (min.) with specific omic data
Cohort
T1 : t 20 Total
TRX PTX PPX TRX PTX PPX TRX PTX PPX TRX PTX PPX TRX PTX PPX TRX PTX PPX TRX PTX PPX
CRC 181 188 188 223 223 217 111 102 101 44 47 47 18 19 19 36 54 54 613 633 626
HCC 48 41 41 35 36 36 11 9 9 15 15 16 6 6 6 32 38 38 147 145 146
LUAD 215 258 255 119 152 153 90 95 94 51 50 48 17 26 26 35 44 44 527 625 620
LUSC 134 157 153 95 103 102 56 58 58 40 37 35 20 23 23 32 37 37 377 415 408
Table 2: Number of tumour samples per cancer stage group with specific omic data
Cohort
I II III IV NA Total
TRX PTX PPX TRX PTX PPX TRX PTX PPX TRX PTX PPX TRX PTX PPX TRX PTX PPX
CRC 65 60 60 229 251 248 195 201 199 121 118 116 3 3 3 613 633 626
HCC 31 33 34 18 22 22 18 17 17 7 7 7 73 66 66 147 145 146
LUAD 232 293 291 129 145 144 133 143 141 24 33 33 9 11 11 527 625 620
LUSC 126 151 147 125 130 130 116 119 116 6 8 8 4 7 7 377 415 408
4
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Table 3: Alterations in phosphosite expression over time across tissue t ypes
A: Long duration ischemia time groups
S
ignificant ( αfdr = 0.05) effect for
Cluster Tissue Time Interaction
1a 147 45 0
2a
169 63 3
3a 177 61 6
4a 369 129 2
5a 317 101 12
6a 188 68 8
7a 54 11 2
8a 52 16 0
9a 97 35 0
10a 242 76 6
Totals 1812 605 39
B: Refined ischemia time groups
S
ignificant ( αfdr = 0.05) effect for
Cluster Tissue Time Interaction
1b 115 16 0
2b
293 51 2
3b 283 35 2
4b 95 11 0
5b 136 25 0
6b 89 10 0
7b 442 80 1
8b 189 21 2
9b 74 15 0
10b 105 20 2
Totals 1821 284 9
omic modalities as described in the methods section. Figure 1 shows the results for the
phosphoprotein modality for k = 10 clusters (the corresponding plots for the other two
expression modalities are shown in Supplementary Figure S1).
The effect magnitude and significance seem to increase for times over 20 minutes. To
confirm this impression, we tested for differences in differential expression over time in
each modality using a 2 × 5 factorial ANOV A-like design with the tissue types (tumour
and normal) as first factor and the time groups T ′
1 . . . T′
5 as second factor using the
non-parametric Scheirer-Ray-Hare test also assessing interaction effects between the two
main effects. Table 3A shows the phosphosites per cluster with significant tissue, time
or interaction effects. The three effects on display are the two main effects of tissue and
time difference and the interaction effect of the two variables.
Table 3 confirms that across all clusters (note that the clusters in both panels do
not contain identical phosphosites since the data vectors per phosphosite differ between
the panels) of the original time groups (panel A), 33% (605/1814) of the phosphosites
display a significant time effect. We therefore repartitioned the available samples into
the shortest ischemia group (samples with ischemia time shorter than 10 minutes), and
into further groups of 3 minute intervals from t ≥ 10 to 20 minutes ( T1 . . . T5) as shown
in Table 1 in order to quantify which ischemia time point to use as cut-off (we call
these refined time groups). With these refined groups (Table 3, panel B) which exclude
longer ischemia times, the time effect halves to 16% (284/1823) of the phosphosites. 2
There are also less interaction effects. The trends for mRNA and protein modalities are
comparable, though less pronounced (see Supplementary Figure S1 and Supplementary
Tables S1 and S2). But even though the effect is least pronounced in mRNA, to perform
valid multiomics analyses, we need an ischemia time limit that is the same for all modal-
2N ote that the differing denominator between the two groupings is due to reassigned samples and a
subsequently altered pattern of missing values.
5
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Figure 1: Differential expression of the selected phosphosites in 5-mi nute intervals (ab-
scissa) grouped into ten clusters (ordinate) in CRC. Colours indicate log 2-fold
mean expression differences (phosphosite-wise standardised) between tumour
and normal tissue. Red: upregulation in tumour, blue: downregulation.
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Table 4: Loss L of biomolecules outside the ( Q2.5, Q97.5) interval
Modality Tissue Biomolecule loss [%] vs. T1
T2 T3 T4 T5
mRNA Normal 27 32 39 21
T
umour 23 28 45 27
Protein Normal 24 25 36 56
T
umour 20 23 27 42
Phosphoprotein Normal 49 64 72 94
T
umour 46 60 64 81
ities. Thus, we aim for a limit that is optimal for the most sensitive ty pe of molecule
(phosphate groups), which must be under 20 minutes.
Before investigating differential biomolecule expression, we analysed the distribution
of the underlying expression levels in normal and cancer tissue samples of the groups
T1 . . . T5. We specifically focused on biomolecules with extreme expression values which
could play an important role in cancer. We regarded biomolecules with expression values
outside the (Q 2.5, Q97.5) interval as extremely expressed. We determined the relative
loss of such extreme biomolecules of reference group T1 in other ischemia time groups.
In detail, we counted how many biomolecules with extreme expression values outside
(Q2.5, Q97.5) of T1 were not detected outside the ( Q2.5, Q97.5) intervals of the other groups
T2 . . . T5 any more. For example for T1 and T2, this relative loss is
L = |δ(T1) \ δ(T2)|
|(δ(T1)| ·100,
w
here δ computes the biomolecules outside the interval (Q 2.5, Q97.5) and | · · · |gives the
set size. Table 4 shows the loss rates for tumour and normal tissues for the time group
average. The vanishing biomolecules fall from outside ( Q2.5, Q97.5) into the interval in
the time groups T2 . . . T5.
The loss of biomolecule sets in group T2 is striking for all types of analysed biomolecules,
but especially for phosphosites. Notably, the loss of the most highly expressed mRNAs
is slower than for proteins and even more so than for phosphoproteins, where almost
50% of the most highly expressed sites are lost in a short interval time between 10 and
12 minutes of ischemia. In mRNA, there seems to be a recovery of the initial expression
pattern after the longest ischemia duration, an artefact which may be explained by the
degradation and altered detection of the molecules. This has to be taken into account
when looking at differential biomolecule expression.
2.2.1 Temporal patterns of refined time series
To evaluate the influence of ischemia on differential expression patterns, we next analysed
the shorter interval groups T1 . . . T5 using a Dirichlet process Gaussian process mixture
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Table 5: Pathways with differential protein expression Tk+ 1 − Tk
Number of proteins
Pathways Upregulated Downregulated
Immune response 34 1
M
etabolic processes 7 7
Transport of molecules 5 2
Regulation of cell signalling 8 3
Cell structure and adhesion 6 3
Total 60 16
model (DPGP, details see Material and methods). This non-parameteri c time series
analysis technique jointly models data clusters with a Dirichlet process and temporal
dependencies with a Gaussian process. 3
Figure 2 shows the eleven clusters obtained in CRC for the protein modality, which we
selected out of the three available expression modalities because it allows a deeper bio-
logical interpretation (analogous time series analyses can be generated for each modality
and tumour type).
We expect various patterns of protein expression variance due to ischemia with proteins
losing or gaining expression levels under the effect of the ischemia-induced decay of the
tissue.
Biological cluster interpretation To interpret the biological meaning of the protein
expression patterns, we used a Wilcoxon test to identify proteins with differential ex-
pression from one time group to another ( µT2 − µT1, . . . , µTk+1 − µTk , k = 2 . . . 4) excluding
effects inside the interval (2 − 1/2, 2
1/2).
We then mapped the genes related to these differentially expressed proteins to KEGG 4
and performed a GO enrichment analysis for biological pathways [7]. We could not find
cluster-specific relevant biological patterns, maybe because ischemia regulation cannot
be revealed by DPGP-clustering on our pseudo-time-series (see footnote 5), but we still
found interesting overall patterns. The analysis revealed acute inflammatory response
and metabolism as the most significantly up- and downregulated pathways, respectively.
Table 5 shows the amount of significantly differentially expressed proteins per pathway.
Quite surprisingly, the data show a strong upregulation of immune response related
proteins. Notably, differential expression changes in the proteins involved in immunity
can already be observed after 10 – 12 minutes of ischemia (group T2), which shows that
the alterations occur rapidly once the cells are put under ischemic conditions. These
changes in immune response were mostly (20 of 34 proteins) due to a synchronous up-
regulation of the protein expression in both tumour and normal tissue from one time
3N ote that since it is impossible to obtain patient-wise time series data based on surgical tissue
removal, this is merely a pseudo-time-series.
4https://www.genome.jp/kegg/mapper/search.html
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Figure 2: Differential expression of the selected proteins in refined time groups ( T1 . . . T5
as 3-minute intervals on the abscissa) grouped into 11 clusters. The ordinates of
each cluster show the normalised differential expression. The blue line shows
the cluster mean expression. The red lines indicate the individual protein
expression levels. The shaded blue area indicates the cluster mean ± 2 ·σ.
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point group to the next. There is almost no differential expression effe ct in this group
based on a tissue effect. These pathways reveal a coping mechanism involving decrease in
expression of proteins that are either not survival-critical under metabolic stress induced
by ischemia (such as proteins involved in drug metabolism like UGT2B17 or UGT1A8)
or those that are energy intensive for the cell (ribosome biogenesis). Ischemia very inter-
estingly appears to slowly breach through this coping mechanism by causing a decrease
in tumour survival-critical proteins such as NUDT1, ELOVL, HPGDS or DZIP3 [8, 9,
10, 11].
2.2.2 Confounder analysis
We next analysed the influence of ischemia time on differential biomolecule expression
compared to other independent variables of known clinical importance by performing
a classical confounder analysis using multiple linear regression. We computed a multi-
variate linear model with a Gaussian error distribution at the biomolecule level for each
omic type and each of the differentially expressed biomolecule sets obtained from the
initial selection step described in section 2.1.
The variation of the fold-change between tumour and normal tissue expression was
modelled as dependent variable to be explainable by the independent variables (details
see section 4). This analysis is only a rough approximation because at the biomolecule
level both statistical assumptions for Gaussian linear models of normal error distribution
and linear variable relations are not fully met as revealed by statistical testing (not
shown). Nevertheless, the analysis revealed informative trends when we determined the
distributions of variable effect estimates for biomolecules with any statistically significant
(p < 0.01) variable. The corresponding plots of regression coefficient estimate means,
split by positive and negative effects, for the CRC cohort are shown in Figure 3. Note
that variables which did not have any significant effect on any biomolecule are not shown
in the confounder plots (details see section 4).
The figure shows that for CRC, disregarding the ischemia time variable effects (for
which T1 is the reference variable), the tumour grade and stage as well as the alcohol
consumption status of the patients relative to their respective references are the strongest
predictors of differential biomolecule expression as expected [12, 13]. High grade has
not only high coefficient estimates, but also the highest number of biomolecules with
significant effects in each modality (491, 79, and 72, for mRNA, protein and phosphosite,
resp.).
What about the effect of ischemia time? With the exception of protein expression,
the ischemia group T2 shows the lowest T1-relative impact on the outcome compared to
the other time groups, but overall, the influence of ischemia on differential biomolecule
expression increases with longer ischemia times. If the ischemia time exceeds 12 minutes,
the average coefficient estimate of this variable is at least as strong as the stage-IV
estimates, and above 15 minutes it is much higher (also higher than grade). The number
of biomolecules with significant T5 estimates also surpasses the number of biomolecules
with significant stage-IV estimates, but does not exceed the number of biomolecules
significantly affected by grade - which demonstrates the high relevance of this variable
10
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(a) Coefficient estimates (mean ± s td. dev.) of important predictors in
the linear model for the differentially expressed genes in CRC.
Figure 3: Regression coefficient estimate means and standard deviations of important
predictors (linear model T-statistic with p < 0.01) for the differentially ex-
pressed biomolecules of the three omic modalities in CRC. Numbers related to
each variable denote the number of biomolecules with any significant positive
(red) or negative (blue) effect. For categorical variables, the reference variables
of the linear model are indicated in section 4. For example, T1 is the reference
group for the other ischemia times. (a) Transcriptome, (b) Proteome, (c)
Phosphoproteome.
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(b) Coefficient estimates (mean ± s td. dev.) of important predictors in
the linear model for the differentially expressed proteins in CRC.
(c) Coefficient estimates (mean ± s td. dev.) of important predictors in
the linear model for the differentially expressed phosphosites in CRC.
Figure 3: Regression coefficient estimate means and standard deviations (cont.).
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to explain the difference between tumour and normal tissue.
T
he ischemia effects gain importance from transcriptome to proteome and are strongest
in phosphoproteome. But in all modalities, the magnitude of the ischemia time estimates
wipes out the impact of grade and stage, which are clinically the most important pre-
dictors of cancer survival. Though this analysis is only indicative due the lack of full
modelling adequacy, it provides important insights into the influence of ischemia time
on biomolecule expression.
As a next step, we analysed the data to identify an ideal ischemia time cut-off.
2.3 Ischemia time cut-off
To find an ischemia time cut-off that optimises the trade-off of collecting the maxi-
mum amounts of samples while not impeding the identification of differentially expressed
biomolecules, we investigated how many biomolecules which are differentially expressed
in the short ischemia time group ( < 10 min.) get lost with rising ischemia time. Figure
4 shows the relative biomolecule loss in proportion to ischemia time in the CRC cohort.
As described in the methods section, we computed the number of differentially ex-
pressed biomolecules exclusive to the shortest ischemia time group as compared to the
other groups for the three omic modalities, and observed overall a stronger biomolecule
loss in groups of longer ischemia durations. For mRNA, the loss at 20 minutes is 22%,
but is much stronger pronounced at protein (53%) and phosphoprotein (86%) level in
the CRC cohort.
2.4 Results for other cancer types
We next compared the most important results from the CRC analysis to the effects of
ischemia time on differential biomolecule expression in HCC, LUAD, and LUSC tumour
versus matching normal tissue. Because of small group sizes ( T3 and T5) in HCC (see
Table 1), we adjusted the time groups we used for the other cancer types in order to
enable a reasonable statistical pseudo-time series analysis. Table 6 shows the adapted
classification scheme which was applied in the HCC cohort; note that due to the different
assignment to the groups, there is no group T5. Figure 5 shows the confounder analysis
for HCC.
Interestingly, unlike in CRC, the ischemia estimates do not surpass those of the impor-
tant clinical predictors in any modality in general, though more biomolecules tend to be
significantly affected by ischemia time than by stage or grade. As in CRC, the effects are
more pronounced for protein and phosphoprotein modalities than for the transcriptome.
In the biomolecule loss analysis for HCC (Supplementary Figure S4), the T4 group does
not show a stronger loss of deregulated proteins or phosphoproteins compared to the
previous time group T3. This could be explainable by the smaller group sizes of HCC
samples. Nevertheless, there is an analogous trend of losing deregulated biomolecules
from T1 to T3 in a monotone manner.
The confounder analysis in LUAD (Supplementary Figure S2) shows a pattern similar
to CRC. Over time, the ischemia effect gains the same importance as the effect of the
13
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(a) Percentage of differentially expressed genes exclusively de-
t
ected in T1 in CRC.
Figure 4: Relative biomolecule loss in proportion to ischemia times in CRC. Dot plots
showing the percentage of differentially expressed biomolecules exclusively de-
tected in the shortest ischemia time group T1 (details see section 4) for each
modality. The ordinate indicates the time group compared to T1, ordered
from shortest to longest time interval, the abscissa indicates the percent of
biomolecule loss.
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(b) Percentage of differentially expressed proteins exclusively
d
etected in T1 in CRC.
(c) Percentage of differentially expressed phosphosites exclu-
s
ively detected in T1 in CRC.
Figure 4: Relative loss of differentially expressed biomolecules in proportion to ischemia
times in CRC. (cont.). 15
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Table 6: Number of tumour samples per adapted ischemia time interval (mi n.) with
specific omic data for HCC
TRX PTX PPX
T1 : t 30
15
16 16
Total
147
145 146
worst stage (mRNA) or surpasses it (protein and phophoprotein). The biomolec ule loss
in LUAD is comparable to CRC as well (see Supplementary Figure S5).
The confounder analysis in LUSC (Supplementary Figure S3) also shows the ischemia
effect gaining importance over the clinical predictors with longer time, but in the protein
and phosphoprotein modalities, there is an interesting exception, the stage IV variable.
Late stage of LUSC alters differential biomolecule expression in these modalities much
more than any other predictor. This is not visible in the other cancer types, though tu-
mour grade is a very strong predictor in HCC for differential phosphosite expression. The
biomolecule loss in LUSC is comparable to CRC and LUAD as well (see Supplementary
Figure S6).
3 Discussion
There is an ongoing debate about the influence of ischemia time on data from various
high-dimensional molecular characterisation modalities (‘omics’) used in the analysis of
cancer tissues. This discussion is important because these data are the foundation of the
identification of indicators of disease outcomes (prognosis) and novel cancer treatment
targets leading to potential therapeutics.
According to some authors, ischemia times of 30 to 60 minutes can be tolerated still
yielding acceptable gene expression data [2] ( n = 6 samples). Others reported that most
phosphoproteins are stable over time [3] ( n = 3 samples) or that RNA does not degrade
for two hours at room temperature [4] ( n = 18 samples). All of these studies have an
extremely limited number of samples in common which, given the high dimensionality
of molecular characteristics, leads to a very low statistical power to detect ischemia
time effects. On the other hand, several studies have shown that longer ischemia times
reduce the quality of the measured molecular characteristics such as mRNA, protein
and phosphoprotein significantly [14, 15, 16, 17, 18, 19]. However none of these studies
16
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(a) Coefficient estimates (mean ± s td. dev.) of important predictors in
the linear model for the differentially expressed genes in HCC.
(b) Coefficient estimates (mean ± s td. dev.) of important predictors in
the linear model for the differentially expressed proteins in HCC.
Figure 5: Mean coefficient estimates and standard deviation of important predictors
(linear model T-statistic with p < 0.01) for the differentially expressed
biomolecules in HCC. Numbers related to each variable denote the number
of biomolecules with any significant positive (red) or negative (blue) effect.
For categorical variables, the reference variables of the linear model are indi-
cated in section 4. (a) Transcriptome, (b) Proteome, (c) Phosphoproteome.
17
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(c) Coefficient estimates (mean ± s td. dev.) of important predictors in
the linear model for the differentially expressed phosphosites in HCC.
Figure 5: Mean coefficient estimates and standard deviation of important predictors
(linear model T-statistic with p < 0.01) for the differentially expressed
biomolecules of the three omic modalities in HCC. Numbers related to each
variable denote the number of biomolecules with any significant positive (red)
or negative (blue) effect. For categorical variables, the reference variables of
the linear model are indicated in section 4. (a) Transcriptome, (b) Proteome,
(c) Phosphoproteome (cont.).
18
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have been able to use sufficient numbers of samples and therefore have an insufficient
power to define a cut-off value for detecting the impact of ischemia time on the molecular
composition of the materials, in particular for multi-omics data-driven target discovery.
Therefore, so far, the published results on ischemia time have not been conclusive.
Our research demonstrates the impact of ischemia time on the relative and absolute
quantities and properties of DNA, mRNA, protein and phosphoprotein molecules using
a large tissue sample collection between 145 (HCC) and 633 cases (CRC) of four different
cancer types in total including matching adjacent normal tissue. Because our aim is to
understand the impact of ischemia time on differential biomolecule expression, we first
established a set of differentially expressed biomolecules at the shortest ischemia time
group T1, which most closely mimics the in vivo status. We used this baseline to map
changes in these biomolecules over time.
We first consider the underlying changes of the absolute biomolecule expression in
normal and tumour tissue under ischemic conditions. Table 4 shows the drastic loss
in expression levels of biomolecules which are among the 5% least or most strongly
expressed ones in mRNA, protein and phosphoprotein omic modalities separately for
tumour and normal tissue. We must imagine this decomposition of molecules in the
dying cells as highly chaotic non-ergodic complex process, during which an animate
system is transformed to inanimate, decaying biomolecule matter. Fundamentally, the
decay process is comparable in both tumour and normal tissues as is also evidenced by the
low proportion of interaction effects (Table 3B). Therefore, the differential biomolecule
expression, which compares tumour and normal tissue expression, is less affected by
ischemia than the individual expression levels per tissue type.
From Figure 4 it is clear that the effect of losing differential mRNA expression over
time is weaker than for proteins and phosphoproteins, though at the separate tissue
levels, mRNA and protein decay in a similar manner. This could be caused by a higher
regularity of the mRNA decomposition between the tissue types.
Our main findings on the influence of ischemia time on differential biomolecule ex-
pression in the CRC cohort differ between the specific omic modalities. First of all, we
do not see any effect on genomic DNA, as is expected from the biochemical properties
of this molecule type which can even be recovered from paleontological fossils to obtain
genetic sequences.
For the other modalities, as we see for phosphoprotein (Figure 1, Table 3), but also for
mRNA (Supplementary Table S1) and protein (Supplementary Table S2), ischemia times
over 25 minutes make analyses of rapidly decaying molecules scientifically unattractive.
Regarding the impact of the tissue type on biomolecule expression, i.e. tumour vs.
normal tissue, and the ischemia time group or the combination of both variables (inter-
action effect), the tissue main effect dominates the results since the biomolecules were
selected based on group T1. Together with group T2 (10 ≤ t ≤ 12), which overall has
an expression pattern very similar to T1 at least for mRNA and proteins, these time
groups cover roughly 2/3 of the samples (cf. Table 1), hence dominating the main effect
on biomolecule expression. The time and interaction effects in both panels of Table
3 reflect the influence of ischemia time on differential biomolecule expression. In our
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tissue collection, only 1/3 of the samples have longer ischemia times and their impact
on expression observed at the shorter times is limited. Thus we do not see too many
biomolecules with time effects due to the high quality of our tissue collection.
Our enquiry concerning shorter ischemia times shows that the interpretation of time
series patterns of differential expression is challenging. The most clear pattern we ob-
serve across the time series clusters relates to immune-response proteins and metabolic
function bearing proteins.
To reveal independent variables which could dominate differential expression in ad-
dition to ischemia time, we performed a systematic confounder analysis. As Figure 3
shows, increasing ischemia times even surpass the effect estimators of alcohol consump-
tion, grade, and cancer stage in the CRC cohort, which are known to strongly affect
biomolecule expression in cancer tissue [12, 13]. However, the number of biomolecules
for which the grade-covariable is significanctly correlated to differential expression is not
surpassed by the ischemia effect. While this can be related to the composition of our co-
hort (with relatively few samples with longer ischemia times, see above), the confounder
analysis highlights the biological importance of grade, a predictor that is debated and
sometimes underestimated in clinical practice [20].
The results obtained in the other two epithelium-descendend cancer types we anal-
ysed (LUAD and LUSC) are very similar to CRC. The number of biomolecules whose
differential expression is significantly correlated to grade is also high in these cancer
types.
Interestingly, in HCC, a parenchymatous cancer type, the influence of ischemia time on
the differential expression outcome is weaker than in the adeno-carcinomata. However,
as shown in the loss analysis (see Figure S4), there is a considerable loss of differentially
expressed biomolecules in hepatic tissue was well. Taken together our findings confirm
that HCC and liver normal tissue are more stable against ischemia than epithelial tissues
and the cancers derived from them, so that even under longer ischemia time, there is
somewhat less loss of information.
In summary, our experiments show that ischemia times below 12 minutes are rec-
ommended to obtain optimal differential biomolecule expression data. If samples with
longer times are still to be included for specific reasons, they should be limited to a small
proportion of the collection in order to obtain data of relevant scientific value.
4 Material and methods
4.1 Tissue sources and preparation
Indivumed GmbH has a tissue collection of fresh frozen tumour samples with matching
normal tissues. These samples were frozen after different ischemia times after removal
from the situs of surgery.
Tissue samples were collected by Indivumed’s clinical partners using a standardized,
IRB approved protocol, focusing on minimal ischemia time. They were processed and
pathologically assessed as previously described [21]. Nucleic acid extraction, library
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preparation and NGS were performed as previously described [21]. Protein extraction
and MS analysis were performed as previously described [22, 23].
The data for CRC with matching colon mucosa from the same patient include 613
TRX (mRNA), 633 PTX (protein) and 626 PPX (phosphoprotein) data sets, for HCC
with matching normal liver tissues 147 mRNA, 145 protein and 146 phosphoprotein data
sets, and for LUAD 527 mRNA, 625 protein and 620 phosphoprotein data sets and for
LUSC 377 mRNA, 415 protein and 408 phosphoprotein data sets with matching normal
lung epithelium analyses.
Tumour stages, which are relevant for the confounder analysis we performed (see Fig.
3 and corresp. text), match the expected distribution for colon cancer surgery specimens
(10% stage I, 33% II, 33% III and 20% IV). The proportions in HCC are roughly 4 : 2.5
: 2.5 : 1 for stages I to IV, and the proportions for LUAD are similar. For LUSC, they
are roughly 3 : 3 : 3 : 1, inbetween CRC and HCC proportions.
4.2 Data processing and analysis
4.2.1 Processing and normalisation
For DNA sequences obtained from whole genome sequencing, we analysed protein amino-
acid sequence affecting somatic mutations (PAM, counts per locus), copy number vari-
ations (binomial distribution per genomic locus for amplification or deletion, in two
matrices resp.), and the presence of truncations (binomial data). A Kruskal-Wallis test
was used to identify genes with a significant mutation load on the PAM count data,
Fisher’s exact test was used for this purpose on the binomial data. For each genomic
locus, the resulting P-Value for each ischemia time interval was compared to the data
of the shortest time interval. For mRNA sequencing data, we adjusted batch effects of
sequencing providers using ComBat-seq [24]. The normalised counts were then trans-
formed to standard TPM values (transcripts per million) accounting for the length of
the transcripts as described in [25]. Protein MS/MS signals were transformed to counts
using DIA-NN [26], phosphoprotein MS/MS using Spectronaut 13 (Biognosys). For both
modalities, a median normalisation was performed per analysis run to scale the intensity
values and make the runs comparable [27].
This preprocessing and normalisation results for each cancer type (CRC, HCC, and
NSCLC) in three matrices, i.e. one matrix per omic data type (mRNA, protein and
phosphoprotein), with biomolecules (genes, proteins, phosphosites) in rows and samples
in columns. When needed, the expression values of the paired samples were aggregated to
log2-fold changes (tumour versus normal tissue), yielding matrices with half the number
of columns.
4.2.2 Statistical analysis
Differential biomolecule expression was calculated for the short ischemia time group T1
using the two-sided Wilcoxon test for paired samples. P-values were adjusted for multiple
testing via the method of Benjamini and Hochberg [28] which was the default correction
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Method
if not reported otherwise. The effect was computed as the mean di fference of
the log 2 transformed expression values between tumour and normal tissue.
To assess differences in differential expression between tissue types (tumour versus
normal) across ischemia time-groups, we used the non-parametric Scheirer–Ray–Hare
test for 2-factorial designs with the normalised expression values as outcome.
To perform hierarchical clustering on the differentially expressed biomolecules in the
short ischemia time group T1, for each modality the matrix of mean log 2-fold changes
(tumour versus normal tissue) was row-wise normalised (mean-centered and scaled by
dividing by standard deviation). We then applied hierarchical clustering with complete
linkage (using the Euclidean distance metric d(xi, yi) = ∥yi − xi∥2 =
√∑P
j=
1(yij − xij)2,
with xi and yi two matrix rows and j = 1 . . . P the matrix columns) to the matrix rows
and displayed the results as heatmaps with dendrograms. The number of clusters was
determined by visual inspection. The clusters were used to refine the time groups and
limit them to 20 min.; they are merely illustrative and irrelevant for the further analyses.
For the clustering of these deregulated biomolecules in the refined ischemia time groups ,
we used a Dirichlet process (DP) Gaussian process (GP) mixture model [29]. This non-
parameteric time series analysis technique jointly models data clusters with a Dirichlet
process and temporal dependencies with Gaussian processes. 5 The DPGP software 6
was parameterised with concentration parameter α = 0.1, the number of empty clusters
in each iteartion m = 12, and the shape and scale parameters of the inverse gamma
distribution set to αIG = 4 and βIG = 2, respectively.
The confounder analysis was performed by computing biomolecule-wise linear mod-
els with Gaussian error distribution for each modality using the differential biomolecule
expression as response variable and age, gender, alcohol consumption and red meat con-
sumption anamnesis, histological grade, tumour stage and the refined ischemia time
groups as independent predictor variables. The values of the resulting effects as average
changes in the log odds of the response variable associated with a one unit increase in each
predictor variable were visualised, also including standard deviation, for the biomolecules
with at least one significant predictor variable (t-statistic derived p < 0.01). Apart from
the numeric continuous variable age, all other predictor variables were categorical ones
with the following factor levels:
gender : female (reference), male,
alcohol consumption : inactive (reference), active,
meat consumption (days per week): low (0-3 days, reference), high (4-7 days),
histological grade:low (G1-G2, reference), high (G3-G4),
tumour stage : I (reference), II, III, IV,
5N ote that since it is impossible to obtain patient-wise time series data based on surgical tissue
removal, this is merely a pseudo-time-series.
6https://github.com/PrincetonUniversity/DP GP cluster
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r efined ischemia time : T1 (reference), T2, T3, T4, T5.
The optimal ischemia time cut-off was inferred within a set-difference analysis for
the refined time groups. This set-difference analysis was based on the results of the
differential expression analysis. In detail, we identified the significantly differentially
expressed biomolecules per time group Ti, i = 1 . . . 5 ( αfdr = 0.01). We then determined
the set differences T1 \ Ti of deregulated biomolecules in the shortest ischemia time group
and the other groups. The percentage of the number of biomolecules in the set differences
in relation to the number of differentially expressed biomolecules in the shortest ischemia
time group was visualised in dot plots.
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Ethics declarations
C
ompeting interests
This study was performed under the control of Indivumed; SvH, NR, NG, JL and HJ
are employees of Indivumed. The authors declare no other competing financial interests.
GM is a member of the editorial board of Cell Death Disease.
Ethics statement
The study was approved by the local Ethics Committees, and the patients signed the
appropriate informed consent.
Author contributions
JL and SvH performed the mathematical analyses and wrote the paper. NR, A W and
JLM performed the biological interpretation. Sample and clinical data collection as well
as related preparation was conducted by NG, XM, TY, YT, GM and HJ.
24
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