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TECHNICAL ARTICLE

Did Your RNAi Experiment Work?
Reliably Validating RNA Interference with qRT-PCR
Bill Wang, Song Tian, Qiong Zhou, and Xiao Zeng

SuperArray Bioscience 7320 Executive Way, Suite 101 Frederick, MD 21704 USA
Phone: +1 (301) 682-9200 Fax: +1 (301) 682-7300 Web: www.superarray.com
Email: support@superarray.net

Abstract: RNA interference (RNAi) technology for gene knockdown has become a powerful tool for gene function
studies. As the popularity of RNAi technology grows, so does the frustration it causes for many researchers. How
do you know with certainty if your RNAi experiment is working? Many prefer Western blots measuring the target
protein directly, because its knockdown is the most relevant to the observable phenotype under study. However,
in practice, the antibody to a given target protein may not always be readily available. Besides, the long half-lives
of many proteins may mask the RNAi effect at the protein level, particularly in transient transfections. Therefore, a
direct measurement at the mRNA level is always needed to more directly verify that RNA interference is decreasing
the amount of the transcript. Real-time RT-PCR is the “gold” standard for measuring steady state mRNA levels.
However, when used for RNAi validation, a few important factors need to be considered carefully, especially those
contributing to data variation. This white paper addresses the sources of variation that must be dealt with when
validating RNAi experiments.

Introduction
Although quantitative, real-time PCR (qPCR) is hailed for its broad
detection dynamic range (up to 9-logs), only a very narrow range is
needed for RNAi validation (usually less than one (1)-log for each
target gene). As a matter of fact, the exponential nature of its readout
makes the detection of small changes in mRNA levels technically
challenging. For example, a two-fold change in mRNA level (i.e., a
50% knock-down by RNAi) translates into a ΔΔCt value of only one
(1). Real-time PCR experts often cite that the systematic error of a PCR
instrument could be as high as 0.5 cycles between wells. Therefore,
if extra care is not taken during reaction setup, an observed ΔΔCt
value of one cycle will not truly indicate a knock-down of 50 percent.
The following discussion provides a detailed analysis of all sources
of variance that may lead to the erroneous interpretation of RNAi
validation.
We also provide a real example demonstrating how to keep track of
those variances in order to estimate confidence intervals (C. I.) at the
95% level. Using this theoretical error model and our standardized
experimental protocol, we have tested 329 SureSilencing™ predesigned shRNA Plasmids. Among those 329 designs, 221 (67.2%)
sequences have achieved successful knockdown. This success rate
is twice that reported by The RNAi Consortium, a resource more
commonly used by researchers and other commercial manufacturers
of shRNA alike. Based on this empirically determined success rate,
we will also show how we can guarantee that our SureSilencing
shRNA Plasmid design algorithm delivers at least two successfully
effective sequences per gene.

Sources of Variance in RNAi Validation
1.

Transfection Efficiency: This factor is not directly related
to real-time PCR detection, but we will demonstrate
that without consistently achieving an 80% or higher
transfection efficiency (TE) of the specific cell line under
study, the RNAi effect measured by real-time RT-PCR is not
reliable.

2.

PCR Reproducibility: Most commercial real-time PCR
instruments are stable enough to give reasonable
reproducibility. However, some technical skills are required
to lower the differences between Ct values across technical
real-time PCR replicates. We will recommend that the
standard deviation in threshold cycle determinations (SDPCR
or SD Ct) should be no higher than 0.20.

3.

Biological Sample Consistency: Biological replicates
are absolutely required for the validation process.
Standard error decreases with the number of knockdown
determinations performed. We will illustrate that the
minimum number of required biological replicates (N) is 3.

4.

PCR Amplification Efficiency: Because we use the ΔΔCt
method for relative quantification of mRNAs, 90 % or higher
PCR amplification efficiencies for both the gene of interest
and the housekeeping (or reference) gene amplicons are
required. Although it is beyond the scope of this discussion,
the use in this study of RT² qPCR Primer Assays designed by
SuperArray achieves this goal.
Reliably Validating RNA Interference with qRT-PCR



Discussion of Knockdown Efficiency and the
Theoretical Error Model

Knockdown Efficiency Calculation
and Theoretical Error Model

The first set of equations (presented at right) tells us that in order
to calculate knockdown efficiency (KD), we need to collect all
the Ct values (to use the ΔΔCt method), as well as the transfection
efficiency (TE). Through a series of calculations and estimations of
the standard deviations (SD), the second set of equations leads us
to the standard error (SE) of the mean ΔΔCt value. Using the SE, we
can attach the 95% confidence interval (95% C.I., with z score = 1.96)
to any measured ΔΔCt value. A narrower 95% C.I. indicates a more
reliable data set generated in the validation process. By converting
the extremes to KD values using Equation 1, the 95% C.I. establishes
a range centered on an “observed” or measured KD value, which
we will call the “implicated” KD. Using the relationship between
the observed KD and the implicated KD, we can build a model
and test the contribution that variation makes to the implicated KD
values. As demonstrated in the “thought experiments” of Figure 1
and summarized in Table 1, this theoretical error model allows us to
establish minimal criteria for parameters of the validation process to
assure that the observed KD is distinguishable from the implicated
KD of a less efficient knockdown.

The following two sets of equations were essential in building our
theoretical error model to estimate a 95% confidence interval (C.I.) for
the final knockdown efficiency (KD).

In Figure 1, Panel A starts with an experiment having the following
“measured” variables:
1. Transfection Efficiency (TE) = 80%
2. Standard Deviation of PCR Ct Values (SDPCR) = 0.2
3. Number of Biological Replicates (N) = 3
Using our two sets of equations, we can assign a range (95% C.I.) as the
implicated KD for any given observed KD. For example, the observed
70% KD in Panel A has a 95% chance of representing a 50% to 84%
implicated KD value. Under these conditions, we can confidently
claim that a given shRNA with a 70% observed KD is statistically
different from one with a 24% observed KD, because their implicated
KD ranges are not likely to overlap (p  0.05, student t-test). We can
then determine how changes to all three of our “measured” variables
(TE, SDPCR and N) affect the implicated KD of an observed KD. As
shown in Panel B, if the TE is reduced to 60%, the confidence of our
70% observed KD drops tremendously. The implicated KD range of
an observed 70% KD has expanded to between 44% and 96%. The
validity of this 70% observed KD is now much in doubt, because it
can barely distinguish itself from a shRNA with a 1% observed KD.
Similarly, if we were less certain about PCR consistency (by setting
SDPCR = 0.3 in Panel C), or we were to reduce the biological replicates
(by setting N = 1 in Panel D), the observed 70% KD would become

First Set of Equations
DDCt
KD= 1-2
TE
DDCt = DCtT - DCtNC
DCtT = GOI CtT - HKG CtT
DCtNC = GOI CtNC - HKG CtNC
KD, Knockdown Efficiency
TE, Transfection Efficiency
DCtT, the difference in Ct values between the gene of interest
(GOI Ct) and the housekeeping (or reference) gene (HKG Ct) in the Target
(T) gene shRNA transfection
DCtNC, the difference in Ct values between the gene of interest (GOI Ct)
and the housekeeping (or reference) gene (HKG Ct) in the Negative
Control (NC) shRNA transfection

Second Set of Equations
SDPCR = GOI SDPCR = HKG SDPCR
SD DCt = √(GOI SDPCR)2 + (HKG SDPCR)2 = √2 x (SDPCR)2 = √2 x SDPCR
SD DCt BIO = 1.1 x SDPCR

√

Mean SD DCt = (SD DCt BIO)2 +

(SD DCt)2
N

SD DDCt = √2 x (Mean SD DCt)2 = √2 x Mean SD DCt
SE =

SD DDCt
√N

C.I. = Mean DDCt ± (z x SE)
SDPCR, Standard Deviation (SD) in Ct values
(Indicates technical PCR replicate consistency.)
We assume that the SD in the gene of interest Ct values (GOI
SDPCR) is equal to that of the housekeeping (or reference) gene
Ct values (HKG SDPCR).
SD DCt, SD in DCt values between technical PCR replicates
SD DCtBIO, SD in DCt values between biological replicates
We assume that SD DCtBIO is slightly greater than the SD among
technical PCR replicates (SDPCR).
SD DDCt , SD in DDCt values (composite indicator of all variances in the
experiment)
N, Number of biological replicates in the experiment
SE, Standard Error in DDCt
C.I., Confidence Interval for DDCt; z, z score

Tel 888-503-3187 (USA)

301-682-9200

Fax 888-465-9859 (USA)

301-682-7300
A

Implicated Knockdown

SuperArray Bioscience



TE = 80 %, SDPCR = 0.2, N = 3

Implicated Knockdown
Implicated Knockdown
Implicated Knockdown

N

Implicated KD

Maximum Distinguishable
Implicated KD

0.20

3

70 (50, 84)

24 (-12, 50)

60 %

0.20

3

70 (36, 95)

1 (-56, 44)

80 %

0.3

3

70 (38, 90)

1 (-71, 46)

80 %

0.20

1

70 (32, 92)

1 (-85, 52)

TE = 60 %, SDPCR = 0.2, N = 3

The Total Variance in RNAi Validation,
a Real RNAi Case Study
The following real case study demonstrates how the error model
can be applied by validating a STAT3 RNAi design from one of
SuperArray’s pre-designed SureSilencing™ shRNA Plasmids.

TE = 80%, SDPCR = 0.3, N = 3

Observed Knockdown

D

SDPCR

80 %

Observed Knockdown

C

The implicated KD for a 70 % observed KD obtained under different theoretical experimental conditions
was calculated using the error model described in the text. The “Maximum Distinguishable Implicated
KD” refers to highest observed KD with an implicated KD that can be distinguished from the “implicated
KD” of an observed 70 % KD with a high degree of confidence (95 % interval).

TE

Observed Knockdown

B

Table 1: RNAi Knockdown Measurements are Sensitive to Variance in
Several Parameters

TE = 80 %, SDPCR = 0.2, N = 1

Observed Knockdown
Figure 1: Low Transfection Efficiencies, High qPCR Variability, and Too
Few Biological Replicates Significantly Weaken the Reliability of the
Knockdown Measurement.

Materials and Methods
Cell Culture and shRNA Delivery: 293H cells (Invitrogen) were cultured
in D-MEM supplemented with 10% FBS and 1X non-essential amino
acids (Invitrogen) for no more than 15 passages. Genome-wide, genespecific shRNA targeting sequences were designed using a proprietary
algorithm and cloned into the pGeneClip™ hMGFP vector (Promega)
to generate SureSilencing™ shRNA plasmids. Transfection grade
SureSilencing™ plasmid (0.8 mg) mixed with Lipofectamine 2000
reagent (Invitrogen, 3 mL) was delivered to 80,000 cells in a 24-well
plate format. Culture media were changed 24 hours after transfection.
Transfection efficiency was estimated by following the expression of
GFP using fluorescence microscopy. After 48 hours, total RNA was
extracted using the ArrayGrade™ Total RNA Isolation Kit with
gDNA cleanup by TURBO DNase™ (Ambion).
Real-Time RT-PCR: cDNA was synthesized from total RNA using the
ReactionReady™ First Strand cDNA Synthesis Kit. Real-time PCR
was performed using RT2 SYBR Green qPCR Master Mixes on the
Bio-Rad iCycler real-time PCR system or the Stratagene Mx3000 realtime PCR system. b-Actin was chosen as the housekeeping gene for
normalization. Threshold cycle values (Ct) were collected and used
for “DDCt” analysis. Gene knockdown efficiency was calculated in the
multi-step process described in the text.

The variance in RNAi knockdown measurements are estimated based on Equations 1 and 2. The
middle diagonal lines represent “observed” knockdown (KD) values. The lower and upper outer
diagonal lines represent the lower and upper limits of the 95% C.I. for the observed KD defining the
“implicated” KD. The error bars and dotted lines denote how two KD measurements can be seen as
different with reasonable and statistically significant confidence (p  0.05). TE, transfection efficiency;
SDPCR, standard deviation of Ct values from technical PCR replicates; N, number of RNAi transfection
biological replicates.

Based on this analysis (summarized in Table 1), we conclude that
the confidence in determining shRNA knockdown efficiency is
very sensitive to three key sources of variances: 1) the transfection
efficiency (TE) of the cell line of interest, 2) the PCR consistency
(SDPCR), and 3) the number of biological replicates (N).

Email support@superarray.net

Web www.superarray.com
Reliably Validating RNA Interference with qRT-PCR



The Total Variance in RNAi Validation,
Case Study Results

Table 4: Mean ΔCt Calculations
shRNA for STAT3

Table 2 lists all of the collected Ct values. In this experiment, STAT3
is the target gene of interest (GOI), while β-actin (ACTB) is the
housekeeping gene (HKG). Biological triplicate (N = 3, in the rows
labeled 1, 2 and 3) test (T) RNA samples were collected, each from an
independent transfection of cells with the STAT3 shRNA. Biological
triplicate negative control (NC) RNA samples were also collected from
independent transfections of cells with a shRNA having a random
sequence and no homology to the mammalian transcriptome. For each
of the six biological samples, three RT-PCR analyses were performed
for both STAT3 and ACTB side-by-side (technical replicates, in the
columns labeled 1, 2, and 3) for a total of 36 reactions and Ct values
(3 biological replicates x 3 technical replicates x 2 genes x 2 shRNA
= 36). The resulting Ct values are recorded in the appropriate cells
of the table according to transfected shRNA, gene tested, biological
replicate, and technical replicate.
Table 2: Raw Data for STAT3 Knockdown
shRNA for STAT3

Negative Control shRNA

ACTB

STAT3

N

CtT1

CtT2

CtT3

N

CtT1

CtT2

CtT3

1
2
3
1
2
3

27.00
27.00
26.70
17.80
17.90
17.90

26.70
27.00
26.70
17.80
18.20
18.00

27.20
27.00
26.90
17.90
17.70
17.60

1
2
3
1
2
3

24.40
24.30
25.10
17.90
17.60
18.10

24.60
24.30
25.20
18.20
18.10
18.10

24.70
24.30
25.30
18.10
17.80
18.20

Negative Control shRNA

Mean
DCtT

SD
DCtBIOT

Mean SD
DCtT

Mean
DCtNC

SD
DCtBIONC

Mean SD
DCtNC

9.04

0.10

0.18

6.68

0.34

0.36

Finally, using the data in Table 4, we calculate the Mean ΔΔCt, the
difference in the test and control samples’ Mean ΔCt values. The
final composite SD ΔΔCt is used to define the Standard Error (SE)
and the 95% Confidence Interval (95% C.I., z = 1.96) for the ΔΔCt
value (Table 5). Because we determined the transfection efficiency
(TE) to be 90%, we calculate our observed knockdown efficiency
(KD) to be 89.5%. By converting the extreme ΔΔCt 95% C.I. values
into KD and normalizing for the TE in the same way, we observe the
95% Confidence Interval for the KD value to be between 81.7% and
95.7%, defining the implicated KD for this shRNA design. Therefore,
this real life example successfully and reliably identifies the tested
STAT3 shRNA as a design that has a 95% chance of knocking down
this gene’s expression by at least 81.7% and as much as 95.7%. This
demonstration also illustrates more directly how the validation of
any shRNA (or siRNA or RNAi) sequence can be performed with
confidence using real-time RT-PCR.
Table 5: ΔΔCt and KD Calculations
Mean DDCt

SD DDCt

SE

DDCt 95% CI

2.36

0.39

0.23

(1.92, 2.80)

TE

KD

KD 95% CI

90 %

Table 3: ΔCt Calculations

89.5 %

(81.7 %, 95.7 %)

shRNA for STAT3

ACTB

Mean
GOI CtT

GOI SDPCRT

Mean DCtT

SD DCtT

1
2
3

26.97
27.00
26.77

0.25
0.00
0.12

9.13
9.07
8.93

0.26
0.25
0.24

N

STAT3

N

Mean
HKG CtT

HKG
SDPCRT

1
2
3

17.83
17.93
17.83

0.06
0.25
0.21
Negative Control shRNA

ACTB

Mean
GOI CtNC

1
2
3

24.57
24.30
25.2

0.15
0.00
0.10

N

STAT3

N

Mean
HKG CtNC

HKG
SDPCRNC

1
2
3

18.07
17.83
18.13

0.15
0.25
0.06

GOI SDPCRNC Mean DCtNC

Tel 888-503-3187 (USA)

SD DCtNC

6.50
6.47
7.07

301-682-9200

0.22
0.25
0.12

Fax 888-465-9859 (USA)

301-682-7300
SuperArray Bioscience



Batch Validation of SuperArray’s SureSilencing™
Pre-Designed shRNA Plasmids

120

Using the protocol and calculations demonstrated above for STAT3
shRNA, we have tested a total of 329 shRNA designs targeting
86 different genes (an average of roughly four designs per gene)
generated by the algorithm1 used for SuperArray’s SureSilencing™
shRNA Plasmids. To help interpret the knockdown and confidence
interval results, we adopted the following empirical standards to
categorize those 329 shRNA designs.

80

Observed KD

100

Table 6: SuperArray’s shRNA Design Algorithm Relative Sequence and Gene
Success Rates
Designs
Tested

Successful
Designs

Success
Rate

SuperArray
Training Set

329

221

67.2

The RNAi
Consortium

2562, 543

(calculated from
reported numbers)

382, 313

Genes
Tested

Successful
Genes

Success
Rate

86

74

N/A

N/A

89.3

Genome-Wide
Prediction

20

Failed shRNA Designs

0

-60

Rank Order

Figure 2: Validation of Pre-Designed SureSilencing™ shRNA Plasmids.

The figure depicts the results from testing, using the protocol described in the text, a subset of
174 shRNA designs targeting 47 different genes from the complete training set used in this study.
The observed knockdown rates (KD) for Successful (top trace) and Failed (bottom trace) shRNA
designs were calculated and plotted by rank in ascending order. The Y-axis error bar demarcates
the upper and lower extremes of the defined by 95% C.I. for each KD. The darker lines indicate
the KD cutoff for our standards of successful (70.0%) or failed (33.3 %) designs. The dashed line
indicates the minimum for the lower 95% C.I. extreme cutoff and the maximum for the higher
95% C.I. extreme cutoff for our standards of a Successful or Failed design, respectively (55.5%).

Summary
We have examined all major contributing factors essential to
RNAi validation using real-time RT-PCR. We have concluded that
transfection efficiency (TE), technical consistency (SDPCR) and the
number of biological replicated (N) are the three major key indicators
to monitor in order to establish a reliable RNAi validation protocol.
Transfection efficiencies should be consistently 80 percent or greater.
The standard deviation in the technical replicate raw Ct values from
the real-time PCR analyses should no greater than 0.2. In order to
achieve the required biological consistency, no fewer than three
biological replicates of the target gene-specific and the negative
control shRNA transfections are required. We have also used this
error model to assess our own SureSilencing™ shRNA design
algorithm and proved that it out-performs the version used for the
current TRC collections and other commercial shRNA plasmids.

References
1.

2.

3.

Email support@superarray.net

40

-40

86.0

SuperArray
Training Set

982,173

60

-20

• Successful Design: KD ≥ 70.0 %, and lower 95 % C.I. extreme ≥ 55.5%
• Failed Design: KD  33.3 %, higher 95 % C.I. extreme  55.5%
Our results, summarized in Table 6 and Figure 2, indicate that 221
designs belong to the Successful Group, yielding a 67.2% success
rate. In comparison, we notice that the shRNA library in The
RNAi Consortium (TRC) collection, used by other commercial
manufacturers of plasmid-based shRNA, has only a 31 ~ 38% success
rate reported using a similar definition for a “successful” design2,3.
Two out of four of our designs were Successful for 74 of the 86 genes
tested, yielding an 86.0 percent success rate on a per gene basis. A
binomial distribution method estimates that the algorithm should
yield an 89.3 percent per gene success rate when applied to the
design of shRNA sequences for every gene annotated by the NCBI
in the human, mouse, and rat genome. Therefore, the delivery of two
successful SureSilencing™ shRNA Plasmids for any human, mouse,
or rat gene is an enforceable guarantee.

Successful shRNA Designs

Zhou H, Zeng X, Wang Y and Seyfarth BR. A Three-Phase
Algorithm for Computer Aided siRNA Design. Informatica.
2006 30:357-364.
Root DE, Hacohen N, Hahn WC, Lander ES, Sabatini DM.
“Genome-scale loss-of-function screening with a lentiviral RNAi
library.” Nat Methods. 2006 Sep;3(9):715-9.
Moffat J, Grueneberg DA, Yang X, et. al. “A lentiviral RNAi
library for human and mouse genes applied to an arrayed viral
high-content screen. Cell. 2006 Mar 24;124(6):1283-98.

Web www.superarray.com
SureSilencing shRNA Plasmids
™

Guaranteed Knock Down for Every Human, Mouse, and Rat Gene
SureSilencing™ shRNA Plasmids specifically knock down
the expression of every human, mouse, or rat gene by RNA
interference. For each gene, we provide four separate short hairpin
RNA (shRNA) designs packaged in a plasmid backbone. Our
experimentally verified shRNA design algorithm ensures the
maximum gene-specificity and RNAi efficacy. We guarantee that
you will see 70% or greater knock down for your targeted gene
with at least two of the four shRNA plasmids.* The availability of
two effective sequences allows you to properly control for nonspecific and off-target effects.
Unlike chemically synthesized siRNA, plasmid-based shRNA
provides a renewable source of RNA interference. You can amplify
enough plasmid to complete any number of projects in your lab.
Purchase of SureSilencing™ shRNA plasmids includes complete
shRNA sequence information.

Enrich or Select:
Use Neomycin or Puromycin Resistance for stable
selection and study the long term effects of gene
suppression.
Use GFP Marker for FACS enrichment and the study of short
term effects of gene suppression.
Guaranteed!*:
Knock down expression of the target gene by at least 70
percent. Control for non-specific and off target effects.
Convenient and Cost-Effective:
Use standard plasmid-based and lipid-mediated transfection
methods. Plasmids provide a renewable source of RNA
Interference.
* The SureSilencing™ shRNA Guarantee: At least two of the provided predesigned SureSilencing™ shRNA Plasmids are guaranteed to knock down
expression of the targeted gene at the RNA level by at least 70 percent
as measured by real-time qRT-PCR in transfected cells upon FACS-based
enrichment for GFP expression or selection for neomycin or puromycin
resistance as described in the User Manual.

shRNA Feature Summary
Tested

Experimentally verified design algorithm ensures efficacy.

Specificity

Minimizes off-target effect with the Smith-Waterman specificity search.

Plasmid Backbone

U1 promoter transcribes moderate shRNA amount: minimal off-target effect  toxicity
Bacterial origin of replication and ampicillin-resistance marker: amplify unlimited supply
Mammalian Expression Markers:
Neomycin or Puromycin Resistance: select stably transfected cells, study long term effects
GFP Marker: enrich or track transiently transfected cells, study short term effects

shRNA Plasmid Ordering Guide
Find the shRNA for your genes at:

www.superarray.com/RNAisearch.php

Each SureSilencing™ shRNA Plasmid Set comes with four shRNA designs targeting your gene of interest along with a negative control
Cat. No. 	
KX#####N	
KX#####P	
KX#####G	
	

Description	
SureSilencing™ shRNA Plasmid Set with Neomycin Resistance	
SureSilencing™ shRNA Plasmid Set with Puromycin Resistance	
SureSilencing™ shRNA Plasmid Set with GFP Marker	

X = H for Human, M for Mouse, or R for Rat

Price
$ 799
$ 799
$ 799

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Sh rn awhitepaper

  • 1. TECHNICAL ARTICLE Did Your RNAi Experiment Work? Reliably Validating RNA Interference with qRT-PCR Bill Wang, Song Tian, Qiong Zhou, and Xiao Zeng SuperArray Bioscience 7320 Executive Way, Suite 101 Frederick, MD 21704 USA Phone: +1 (301) 682-9200 Fax: +1 (301) 682-7300 Web: www.superarray.com Email: support@superarray.net Abstract: RNA interference (RNAi) technology for gene knockdown has become a powerful tool for gene function studies. As the popularity of RNAi technology grows, so does the frustration it causes for many researchers. How do you know with certainty if your RNAi experiment is working? Many prefer Western blots measuring the target protein directly, because its knockdown is the most relevant to the observable phenotype under study. However, in practice, the antibody to a given target protein may not always be readily available. Besides, the long half-lives of many proteins may mask the RNAi effect at the protein level, particularly in transient transfections. Therefore, a direct measurement at the mRNA level is always needed to more directly verify that RNA interference is decreasing the amount of the transcript. Real-time RT-PCR is the “gold” standard for measuring steady state mRNA levels. However, when used for RNAi validation, a few important factors need to be considered carefully, especially those contributing to data variation. This white paper addresses the sources of variation that must be dealt with when validating RNAi experiments. Introduction Although quantitative, real-time PCR (qPCR) is hailed for its broad detection dynamic range (up to 9-logs), only a very narrow range is needed for RNAi validation (usually less than one (1)-log for each target gene). As a matter of fact, the exponential nature of its readout makes the detection of small changes in mRNA levels technically challenging. For example, a two-fold change in mRNA level (i.e., a 50% knock-down by RNAi) translates into a ΔΔCt value of only one (1). Real-time PCR experts often cite that the systematic error of a PCR instrument could be as high as 0.5 cycles between wells. Therefore, if extra care is not taken during reaction setup, an observed ΔΔCt value of one cycle will not truly indicate a knock-down of 50 percent. The following discussion provides a detailed analysis of all sources of variance that may lead to the erroneous interpretation of RNAi validation. We also provide a real example demonstrating how to keep track of those variances in order to estimate confidence intervals (C. I.) at the 95% level. Using this theoretical error model and our standardized experimental protocol, we have tested 329 SureSilencing™ predesigned shRNA Plasmids. Among those 329 designs, 221 (67.2%) sequences have achieved successful knockdown. This success rate is twice that reported by The RNAi Consortium, a resource more commonly used by researchers and other commercial manufacturers of shRNA alike. Based on this empirically determined success rate, we will also show how we can guarantee that our SureSilencing shRNA Plasmid design algorithm delivers at least two successfully effective sequences per gene. Sources of Variance in RNAi Validation 1. Transfection Efficiency: This factor is not directly related to real-time PCR detection, but we will demonstrate that without consistently achieving an 80% or higher transfection efficiency (TE) of the specific cell line under study, the RNAi effect measured by real-time RT-PCR is not reliable. 2. PCR Reproducibility: Most commercial real-time PCR instruments are stable enough to give reasonable reproducibility. However, some technical skills are required to lower the differences between Ct values across technical real-time PCR replicates. We will recommend that the standard deviation in threshold cycle determinations (SDPCR or SD Ct) should be no higher than 0.20. 3. Biological Sample Consistency: Biological replicates are absolutely required for the validation process. Standard error decreases with the number of knockdown determinations performed. We will illustrate that the minimum number of required biological replicates (N) is 3. 4. PCR Amplification Efficiency: Because we use the ΔΔCt method for relative quantification of mRNAs, 90 % or higher PCR amplification efficiencies for both the gene of interest and the housekeeping (or reference) gene amplicons are required. Although it is beyond the scope of this discussion, the use in this study of RT² qPCR Primer Assays designed by SuperArray achieves this goal.
  • 2. Reliably Validating RNA Interference with qRT-PCR Discussion of Knockdown Efficiency and the Theoretical Error Model Knockdown Efficiency Calculation and Theoretical Error Model The first set of equations (presented at right) tells us that in order to calculate knockdown efficiency (KD), we need to collect all the Ct values (to use the ΔΔCt method), as well as the transfection efficiency (TE). Through a series of calculations and estimations of the standard deviations (SD), the second set of equations leads us to the standard error (SE) of the mean ΔΔCt value. Using the SE, we can attach the 95% confidence interval (95% C.I., with z score = 1.96) to any measured ΔΔCt value. A narrower 95% C.I. indicates a more reliable data set generated in the validation process. By converting the extremes to KD values using Equation 1, the 95% C.I. establishes a range centered on an “observed” or measured KD value, which we will call the “implicated” KD. Using the relationship between the observed KD and the implicated KD, we can build a model and test the contribution that variation makes to the implicated KD values. As demonstrated in the “thought experiments” of Figure 1 and summarized in Table 1, this theoretical error model allows us to establish minimal criteria for parameters of the validation process to assure that the observed KD is distinguishable from the implicated KD of a less efficient knockdown. The following two sets of equations were essential in building our theoretical error model to estimate a 95% confidence interval (C.I.) for the final knockdown efficiency (KD). In Figure 1, Panel A starts with an experiment having the following “measured” variables: 1. Transfection Efficiency (TE) = 80% 2. Standard Deviation of PCR Ct Values (SDPCR) = 0.2 3. Number of Biological Replicates (N) = 3 Using our two sets of equations, we can assign a range (95% C.I.) as the implicated KD for any given observed KD. For example, the observed 70% KD in Panel A has a 95% chance of representing a 50% to 84% implicated KD value. Under these conditions, we can confidently claim that a given shRNA with a 70% observed KD is statistically different from one with a 24% observed KD, because their implicated KD ranges are not likely to overlap (p 0.05, student t-test). We can then determine how changes to all three of our “measured” variables (TE, SDPCR and N) affect the implicated KD of an observed KD. As shown in Panel B, if the TE is reduced to 60%, the confidence of our 70% observed KD drops tremendously. The implicated KD range of an observed 70% KD has expanded to between 44% and 96%. The validity of this 70% observed KD is now much in doubt, because it can barely distinguish itself from a shRNA with a 1% observed KD. Similarly, if we were less certain about PCR consistency (by setting SDPCR = 0.3 in Panel C), or we were to reduce the biological replicates (by setting N = 1 in Panel D), the observed 70% KD would become First Set of Equations DDCt KD= 1-2 TE DDCt = DCtT - DCtNC DCtT = GOI CtT - HKG CtT DCtNC = GOI CtNC - HKG CtNC KD, Knockdown Efficiency TE, Transfection Efficiency DCtT, the difference in Ct values between the gene of interest (GOI Ct) and the housekeeping (or reference) gene (HKG Ct) in the Target (T) gene shRNA transfection DCtNC, the difference in Ct values between the gene of interest (GOI Ct) and the housekeeping (or reference) gene (HKG Ct) in the Negative Control (NC) shRNA transfection Second Set of Equations SDPCR = GOI SDPCR = HKG SDPCR SD DCt = √(GOI SDPCR)2 + (HKG SDPCR)2 = √2 x (SDPCR)2 = √2 x SDPCR SD DCt BIO = 1.1 x SDPCR √ Mean SD DCt = (SD DCt BIO)2 + (SD DCt)2 N SD DDCt = √2 x (Mean SD DCt)2 = √2 x Mean SD DCt SE = SD DDCt √N C.I. = Mean DDCt ± (z x SE) SDPCR, Standard Deviation (SD) in Ct values (Indicates technical PCR replicate consistency.) We assume that the SD in the gene of interest Ct values (GOI SDPCR) is equal to that of the housekeeping (or reference) gene Ct values (HKG SDPCR). SD DCt, SD in DCt values between technical PCR replicates SD DCtBIO, SD in DCt values between biological replicates We assume that SD DCtBIO is slightly greater than the SD among technical PCR replicates (SDPCR). SD DDCt , SD in DDCt values (composite indicator of all variances in the experiment) N, Number of biological replicates in the experiment SE, Standard Error in DDCt C.I., Confidence Interval for DDCt; z, z score Tel 888-503-3187 (USA) 301-682-9200 Fax 888-465-9859 (USA) 301-682-7300
  • 3. A Implicated Knockdown SuperArray Bioscience TE = 80 %, SDPCR = 0.2, N = 3 Implicated Knockdown Implicated Knockdown Implicated Knockdown N Implicated KD Maximum Distinguishable Implicated KD 0.20 3 70 (50, 84) 24 (-12, 50) 60 % 0.20 3 70 (36, 95) 1 (-56, 44) 80 % 0.3 3 70 (38, 90) 1 (-71, 46) 80 % 0.20 1 70 (32, 92) 1 (-85, 52) TE = 60 %, SDPCR = 0.2, N = 3 The Total Variance in RNAi Validation, a Real RNAi Case Study The following real case study demonstrates how the error model can be applied by validating a STAT3 RNAi design from one of SuperArray’s pre-designed SureSilencing™ shRNA Plasmids. TE = 80%, SDPCR = 0.3, N = 3 Observed Knockdown D SDPCR 80 % Observed Knockdown C The implicated KD for a 70 % observed KD obtained under different theoretical experimental conditions was calculated using the error model described in the text. The “Maximum Distinguishable Implicated KD” refers to highest observed KD with an implicated KD that can be distinguished from the “implicated KD” of an observed 70 % KD with a high degree of confidence (95 % interval). TE Observed Knockdown B Table 1: RNAi Knockdown Measurements are Sensitive to Variance in Several Parameters TE = 80 %, SDPCR = 0.2, N = 1 Observed Knockdown Figure 1: Low Transfection Efficiencies, High qPCR Variability, and Too Few Biological Replicates Significantly Weaken the Reliability of the Knockdown Measurement. Materials and Methods Cell Culture and shRNA Delivery: 293H cells (Invitrogen) were cultured in D-MEM supplemented with 10% FBS and 1X non-essential amino acids (Invitrogen) for no more than 15 passages. Genome-wide, genespecific shRNA targeting sequences were designed using a proprietary algorithm and cloned into the pGeneClip™ hMGFP vector (Promega) to generate SureSilencing™ shRNA plasmids. Transfection grade SureSilencing™ plasmid (0.8 mg) mixed with Lipofectamine 2000 reagent (Invitrogen, 3 mL) was delivered to 80,000 cells in a 24-well plate format. Culture media were changed 24 hours after transfection. Transfection efficiency was estimated by following the expression of GFP using fluorescence microscopy. After 48 hours, total RNA was extracted using the ArrayGrade™ Total RNA Isolation Kit with gDNA cleanup by TURBO DNase™ (Ambion). Real-Time RT-PCR: cDNA was synthesized from total RNA using the ReactionReady™ First Strand cDNA Synthesis Kit. Real-time PCR was performed using RT2 SYBR Green qPCR Master Mixes on the Bio-Rad iCycler real-time PCR system or the Stratagene Mx3000 realtime PCR system. b-Actin was chosen as the housekeeping gene for normalization. Threshold cycle values (Ct) were collected and used for “DDCt” analysis. Gene knockdown efficiency was calculated in the multi-step process described in the text. The variance in RNAi knockdown measurements are estimated based on Equations 1 and 2. The middle diagonal lines represent “observed” knockdown (KD) values. The lower and upper outer diagonal lines represent the lower and upper limits of the 95% C.I. for the observed KD defining the “implicated” KD. The error bars and dotted lines denote how two KD measurements can be seen as different with reasonable and statistically significant confidence (p 0.05). TE, transfection efficiency; SDPCR, standard deviation of Ct values from technical PCR replicates; N, number of RNAi transfection biological replicates. Based on this analysis (summarized in Table 1), we conclude that the confidence in determining shRNA knockdown efficiency is very sensitive to three key sources of variances: 1) the transfection efficiency (TE) of the cell line of interest, 2) the PCR consistency (SDPCR), and 3) the number of biological replicates (N). Email support@superarray.net Web www.superarray.com
  • 4. Reliably Validating RNA Interference with qRT-PCR The Total Variance in RNAi Validation, Case Study Results Table 4: Mean ΔCt Calculations shRNA for STAT3 Table 2 lists all of the collected Ct values. In this experiment, STAT3 is the target gene of interest (GOI), while β-actin (ACTB) is the housekeeping gene (HKG). Biological triplicate (N = 3, in the rows labeled 1, 2 and 3) test (T) RNA samples were collected, each from an independent transfection of cells with the STAT3 shRNA. Biological triplicate negative control (NC) RNA samples were also collected from independent transfections of cells with a shRNA having a random sequence and no homology to the mammalian transcriptome. For each of the six biological samples, three RT-PCR analyses were performed for both STAT3 and ACTB side-by-side (technical replicates, in the columns labeled 1, 2, and 3) for a total of 36 reactions and Ct values (3 biological replicates x 3 technical replicates x 2 genes x 2 shRNA = 36). The resulting Ct values are recorded in the appropriate cells of the table according to transfected shRNA, gene tested, biological replicate, and technical replicate. Table 2: Raw Data for STAT3 Knockdown shRNA for STAT3 Negative Control shRNA ACTB STAT3 N CtT1 CtT2 CtT3 N CtT1 CtT2 CtT3 1 2 3 1 2 3 27.00 27.00 26.70 17.80 17.90 17.90 26.70 27.00 26.70 17.80 18.20 18.00 27.20 27.00 26.90 17.90 17.70 17.60 1 2 3 1 2 3 24.40 24.30 25.10 17.90 17.60 18.10 24.60 24.30 25.20 18.20 18.10 18.10 24.70 24.30 25.30 18.10 17.80 18.20 Negative Control shRNA Mean DCtT SD DCtBIOT Mean SD DCtT Mean DCtNC SD DCtBIONC Mean SD DCtNC 9.04 0.10 0.18 6.68 0.34 0.36 Finally, using the data in Table 4, we calculate the Mean ΔΔCt, the difference in the test and control samples’ Mean ΔCt values. The final composite SD ΔΔCt is used to define the Standard Error (SE) and the 95% Confidence Interval (95% C.I., z = 1.96) for the ΔΔCt value (Table 5). Because we determined the transfection efficiency (TE) to be 90%, we calculate our observed knockdown efficiency (KD) to be 89.5%. By converting the extreme ΔΔCt 95% C.I. values into KD and normalizing for the TE in the same way, we observe the 95% Confidence Interval for the KD value to be between 81.7% and 95.7%, defining the implicated KD for this shRNA design. Therefore, this real life example successfully and reliably identifies the tested STAT3 shRNA as a design that has a 95% chance of knocking down this gene’s expression by at least 81.7% and as much as 95.7%. This demonstration also illustrates more directly how the validation of any shRNA (or siRNA or RNAi) sequence can be performed with confidence using real-time RT-PCR. Table 5: ΔΔCt and KD Calculations Mean DDCt SD DDCt SE DDCt 95% CI 2.36 0.39 0.23 (1.92, 2.80) TE KD KD 95% CI 90 % Table 3: ΔCt Calculations 89.5 % (81.7 %, 95.7 %) shRNA for STAT3 ACTB Mean GOI CtT GOI SDPCRT Mean DCtT SD DCtT 1 2 3 26.97 27.00 26.77 0.25 0.00 0.12 9.13 9.07 8.93 0.26 0.25 0.24 N STAT3 N Mean HKG CtT HKG SDPCRT 1 2 3 17.83 17.93 17.83 0.06 0.25 0.21 Negative Control shRNA ACTB Mean GOI CtNC 1 2 3 24.57 24.30 25.2 0.15 0.00 0.10 N STAT3 N Mean HKG CtNC HKG SDPCRNC 1 2 3 18.07 17.83 18.13 0.15 0.25 0.06 GOI SDPCRNC Mean DCtNC Tel 888-503-3187 (USA) SD DCtNC 6.50 6.47 7.07 301-682-9200 0.22 0.25 0.12 Fax 888-465-9859 (USA) 301-682-7300
  • 5. SuperArray Bioscience Batch Validation of SuperArray’s SureSilencing™ Pre-Designed shRNA Plasmids 120 Using the protocol and calculations demonstrated above for STAT3 shRNA, we have tested a total of 329 shRNA designs targeting 86 different genes (an average of roughly four designs per gene) generated by the algorithm1 used for SuperArray’s SureSilencing™ shRNA Plasmids. To help interpret the knockdown and confidence interval results, we adopted the following empirical standards to categorize those 329 shRNA designs. 80 Observed KD 100 Table 6: SuperArray’s shRNA Design Algorithm Relative Sequence and Gene Success Rates Designs Tested Successful Designs Success Rate SuperArray Training Set 329 221 67.2 The RNAi Consortium 2562, 543 (calculated from reported numbers) 382, 313 Genes Tested Successful Genes Success Rate 86 74 N/A N/A 89.3 Genome-Wide Prediction 20 Failed shRNA Designs 0 -60 Rank Order Figure 2: Validation of Pre-Designed SureSilencing™ shRNA Plasmids. The figure depicts the results from testing, using the protocol described in the text, a subset of 174 shRNA designs targeting 47 different genes from the complete training set used in this study. The observed knockdown rates (KD) for Successful (top trace) and Failed (bottom trace) shRNA designs were calculated and plotted by rank in ascending order. The Y-axis error bar demarcates the upper and lower extremes of the defined by 95% C.I. for each KD. The darker lines indicate the KD cutoff for our standards of successful (70.0%) or failed (33.3 %) designs. The dashed line indicates the minimum for the lower 95% C.I. extreme cutoff and the maximum for the higher 95% C.I. extreme cutoff for our standards of a Successful or Failed design, respectively (55.5%). Summary We have examined all major contributing factors essential to RNAi validation using real-time RT-PCR. We have concluded that transfection efficiency (TE), technical consistency (SDPCR) and the number of biological replicated (N) are the three major key indicators to monitor in order to establish a reliable RNAi validation protocol. Transfection efficiencies should be consistently 80 percent or greater. The standard deviation in the technical replicate raw Ct values from the real-time PCR analyses should no greater than 0.2. In order to achieve the required biological consistency, no fewer than three biological replicates of the target gene-specific and the negative control shRNA transfections are required. We have also used this error model to assess our own SureSilencing™ shRNA design algorithm and proved that it out-performs the version used for the current TRC collections and other commercial shRNA plasmids. References 1. 2. 3. Email support@superarray.net 40 -40 86.0 SuperArray Training Set 982,173 60 -20 • Successful Design: KD ≥ 70.0 %, and lower 95 % C.I. extreme ≥ 55.5% • Failed Design: KD 33.3 %, higher 95 % C.I. extreme 55.5% Our results, summarized in Table 6 and Figure 2, indicate that 221 designs belong to the Successful Group, yielding a 67.2% success rate. In comparison, we notice that the shRNA library in The RNAi Consortium (TRC) collection, used by other commercial manufacturers of plasmid-based shRNA, has only a 31 ~ 38% success rate reported using a similar definition for a “successful” design2,3. Two out of four of our designs were Successful for 74 of the 86 genes tested, yielding an 86.0 percent success rate on a per gene basis. A binomial distribution method estimates that the algorithm should yield an 89.3 percent per gene success rate when applied to the design of shRNA sequences for every gene annotated by the NCBI in the human, mouse, and rat genome. Therefore, the delivery of two successful SureSilencing™ shRNA Plasmids for any human, mouse, or rat gene is an enforceable guarantee. Successful shRNA Designs Zhou H, Zeng X, Wang Y and Seyfarth BR. A Three-Phase Algorithm for Computer Aided siRNA Design. Informatica. 2006 30:357-364. Root DE, Hacohen N, Hahn WC, Lander ES, Sabatini DM. “Genome-scale loss-of-function screening with a lentiviral RNAi library.” Nat Methods. 2006 Sep;3(9):715-9. Moffat J, Grueneberg DA, Yang X, et. al. “A lentiviral RNAi library for human and mouse genes applied to an arrayed viral high-content screen. Cell. 2006 Mar 24;124(6):1283-98. Web www.superarray.com
  • 6. SureSilencing shRNA Plasmids ™ Guaranteed Knock Down for Every Human, Mouse, and Rat Gene SureSilencing™ shRNA Plasmids specifically knock down the expression of every human, mouse, or rat gene by RNA interference. For each gene, we provide four separate short hairpin RNA (shRNA) designs packaged in a plasmid backbone. Our experimentally verified shRNA design algorithm ensures the maximum gene-specificity and RNAi efficacy. We guarantee that you will see 70% or greater knock down for your targeted gene with at least two of the four shRNA plasmids.* The availability of two effective sequences allows you to properly control for nonspecific and off-target effects. Unlike chemically synthesized siRNA, plasmid-based shRNA provides a renewable source of RNA interference. You can amplify enough plasmid to complete any number of projects in your lab. Purchase of SureSilencing™ shRNA plasmids includes complete shRNA sequence information. Enrich or Select: Use Neomycin or Puromycin Resistance for stable selection and study the long term effects of gene suppression. Use GFP Marker for FACS enrichment and the study of short term effects of gene suppression. Guaranteed!*: Knock down expression of the target gene by at least 70 percent. Control for non-specific and off target effects. Convenient and Cost-Effective: Use standard plasmid-based and lipid-mediated transfection methods. Plasmids provide a renewable source of RNA Interference. * The SureSilencing™ shRNA Guarantee: At least two of the provided predesigned SureSilencing™ shRNA Plasmids are guaranteed to knock down expression of the targeted gene at the RNA level by at least 70 percent as measured by real-time qRT-PCR in transfected cells upon FACS-based enrichment for GFP expression or selection for neomycin or puromycin resistance as described in the User Manual. shRNA Feature Summary Tested Experimentally verified design algorithm ensures efficacy. Specificity Minimizes off-target effect with the Smith-Waterman specificity search. Plasmid Backbone U1 promoter transcribes moderate shRNA amount: minimal off-target effect toxicity Bacterial origin of replication and ampicillin-resistance marker: amplify unlimited supply Mammalian Expression Markers: Neomycin or Puromycin Resistance: select stably transfected cells, study long term effects GFP Marker: enrich or track transiently transfected cells, study short term effects shRNA Plasmid Ordering Guide Find the shRNA for your genes at: www.superarray.com/RNAisearch.php Each SureSilencing™ shRNA Plasmid Set comes with four shRNA designs targeting your gene of interest along with a negative control Cat. No. KX#####N KX#####P KX#####G Description SureSilencing™ shRNA Plasmid Set with Neomycin Resistance SureSilencing™ shRNA Plasmid Set with Puromycin Resistance SureSilencing™ shRNA Plasmid Set with GFP Marker X = H for Human, M for Mouse, or R for Rat Price $ 799 $ 799 $ 799