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In such cases, the bias introduced by these methods becomes even larger and more significant. For a given number of ED wells used to titrate the sample and fixed minimum and maximum dilutions ED detection range , we showed that having smaller changes between dilutions should be favoured over more replicates at each dilution.

For example, using 11 dilutions, with a 4-fold dilution factor between dilutions and 8 replicate wells per dilution uses up 88 wells, leaving 8 wells of a well plate for controls.

Failing to identify a change as statistically significant as part of a study is far more costly than using more wells for each sample to increase measurement accuracy, and thus the statistical power of the study. When the plaque and ED assays are performed as identically as possible cell type, incubation time, etc. The work herein focused on the virus sample infectivity estimated from an unmodified ED assay. In principle, further improvements in accuracy could be achieved through the use of machine-automated scoring of infected wells using fluorescence intensity or colorimetry.

Plate readers can be quite expensive, as are the consumable compounds they require, such as fluorescent antibodies, or antibodies loaded with compounds that can precipitate in the presence of another colorimeter. In contrast, staining with crystal violet, trypan blue, etc. Since the aim of the ED assay is merely to establish whether or not infection occurred, the scoring of a well as having been infected or not, even when done visually, is likely less ambiguous.

Beyond the work presented herein, the development of midSIN will continue online as we implement new features and inputs for integration with various colorimetric and fluorescence instruments.

We hope to see them adopted widely. Consider a virus sample of volume V sample which contains an unknown concentration of infectious virions, C inf , which we aim to determine. It is a series of Bernoulli trials where. The probability of success, p , is related to the concentration of infectious virus in the sample, C inf , as where C inf is the quantity we aim to estimate. Unlike the ball analogy where it is easy to count how many green balls k were drawn, after having drawn n virion-size volumes from the sample into our inoculum, we cannot count how many infectious virions were drawn into the inoculum.

However, if this inoculum is deposited onto a susceptible cell culture, we can observe whether or not infection occurs, and this would indicate that the inoculum contained at least one or more infectious virions. Note that, as explained in the Introduction , even a productively infectious virion, i. As such, from hereon, C inf is used to designate the concentration of specific infections in the sample, which is smaller or equal to the concentration of infectious virions, i.

The ED assay is based on serial dilutions of the sample, with each dilution separated by a fixed dilution factor. If the serial dilution begins with a dilution of , then the following dilution will be.

In Eq 1 , the dilution under consideration, , will affect n , the number of virion-sized volumes drawn from the sample and deposited into the wells of the i th dilution, such that now. When conducting an ED assay, each dilution in the assay contains a number of independent infection wells replicates , all inoculated with the same dilution,. This is analogous again to drawing balls out of a bag, but this time there are n i draws replicate wells , and the probability of success i.

The probability that k i out of the n i wells become infected at dilution , is described by the Binomial distribution where n i is the number of replicate wells at each dilution, but could be less if any well at dilution are spoiled or contaminated.

However, our interest is not in determining k 1 given q noinf , but rather in determining q noinf given that we observed k 1 infected wells out of n 1 wells in the first column. As mentioned above, in the well ED assay, each dilution contains a number of independent infection wells replicates inoculated with the same sample concentration. This process is then repeated over a series of dilutions, each separated from the previous by a fixed dilution factor.

Having observed the fraction of wells infected at the first dilution considered, , we have updated our posterior belief about q noinf. We will now use this updated belief as our new prior as we observe our second dilution , such that where we introduce and as short-hands for convenience. From this, it is easy to extrapolate the posterior distribution after having observed all J dilutions of the ED assay, namely 4 where 5.

Note that this expression is largely equivalent to that obtained by Mistry et al. In Eq 4 , we obtained a posterior for q noinf. Our objective, however, is to estimate the posterior distribution for C inf , the specific infection concentration in our sample, rather than q noinf.

We note that in Eq 4 is a probability density function in , rather than in q noinf. As we explain below, these limits are not important; only the fact that they are convincingly physically bounded both from above and below, i.

We see here that the range chosen for the uniform prior in C inf is not important because it only contributes a constant to our proportionality Eq 6.

Fig 8 illustrates the two distinct priors assumed to arrive at Eqs 7 and 8 and their impact on the posterior for the example ED experiment described in Fig 1. Fig 8A illustrates the consequence of choosing a prior uniform in C inf , i. This is because a uniform prior in C inf corresponds to a belief that one is as likely to measure a set of virus concentrations in the range [0.

It is computed following 11 where x is the log 10 of the dilution such that is the dilution. It corresponds to the continuous equivalent of this quantity which is discrete in the ED assay, namely which is the i th dilution of the sample. For example, if the dilution of the least diluted column is 0.

Each experiment was performed on a separate day Fig 3. MDCKs were seeded in six-well plates 5. Each six-well plate contained fold serial dilutions plated in singlet as well as a negative control and five 6-well plates were carried out per experiment. Plaques were visualized by staining cells with 0. For each experiment, 4 replicate wells, at each of 7 different dilutions separated by a fold dilution, were infected, and the dilution series was performed 5 times.

Supernatants from each of the MDCK-containing wells were transferred to a matching well in a well U-bottom plate in the same configuration, and mixed with chicken red blood cells 30 min, room temperature. This enabled us to score each of the original MDCK-containing wells as either positive or negative for infection, based on whether their supernatant caused hemagglutination.

The mean and standard deviation of the resulting log 10 ratio were computed and are reported in Fig 3C and 3D. Author summary The infectivity of a virus sample is measured by the infections it causes. Introduction The progression of a virus infection in vivo or in vitro , or the effectiveness of therapeutic interventions in reducing viral loads, are monitored over time through sample collections to measure changes increases or decreases in virus concentrations.

The work herein proposes to: Encourage the use of the ED assay e. The word specific highlights the fact that the infectivity of a sample is specific to the particulars of the experimental conditions temperature, medium, cell type, incubation time, etc. Download: PPT. Fig 1. Fig 2. Quantification of RSV sampled from in vitro infections. Fig 3. Fig 4. Fig 5. Fig 6. Comparing known input to estimated output concentrations.

Colorimetric or fluorometric readouts are also possible, which can increase assay sensitivity. This calculation can generally be done by a variety of mathematical approaches, e.

Depending on the virus, the type of cells and the readout parameter indicating an infection, a variety of other virus titration assays are possible. For viruses that lyse the infected cell, for example, a plaque forming assay is commonly employed for quantification. The virus sample is added in a suitable dilution to a monolayer-forming cell culture and incubated over several days. Areas with infected cells will be visible as holes or plaques either by the microscopy, or by colorimetric or fluorometric staining.

Coriolis offers following services regarding virus quantification up to biosafety level S Hauptnavigation Analytical services Formulation development About us. If one million virions are added to one million cells, the MOI is one.

If ten million virions are added, the MOI is ten. Add , virions, and the MOI is 0. The concept is straightforward. But here is the tricky part. If you infect cells at a MOI of one, does that mean that each cell in the cutlure receives one virion? Here is another way to look at this problem: imagine a room containing buckets.

If you threw tennis balls into that room — all at the same time — would each bucket get one ball? Most likely not. How many tennis balls end up in each bucket, or the number of virions that each cell receives at different MOI, is described by the Poisson distribution :. In this equation, P k is the fraction of cells infected by k virus particles, and m is the MOI.

Here are some examples of how these equations can be used. If we have a million cells in a culture dish and infect them at a MOI of 10, how many cells receive 0, 1, and more than one virion? The fraction of uninfected cells — those which receive 0 particles — is. In a culture of one million cells this is 45 uninfected cells. In a culture of one million cells, , cells receive more than one particle. Using the same formulas, we can determine the fraction of cells receiving 0, 1, and more than one virus particle if we infect one million cells at a MOI of An assumption inherent in these calculations is that all cells in a culture are identical in their ability to be infected.

In a clonal cell culture such as HeLa cells the deviations in size and surface properties are small enough to be negligible. However, in a multicellular animal there are substantial differences in cell types that affect susceptibility to infection. Under these conditions, it is experimentally difficult to determine how many virions infect different cells. High MOI is used when the experiment requires that every cell in the culture is infected. By contrast, low MOI is used when multiple cycles of infection are required.

However, it is not possible to calculate the MOI unless the virus titer can be determined — for example by plaque assay or any other method of quantifying infectivity. Damn, my first comment has vanished.

Anyway… Good post! The above is great for when talking about phage, for example, when the ratio approaches 1. Not sure how to say it better — enough to initiate an infection. So why does polio require virions to make an infectious dose?

Let me know why you think the distribution is incorrect. Alex is right! I copied it incorrectly from my textbook. Thanks to you and Alex for pointing this out. On the contrary the physical particle counts is an absolute value.

I agree Dorian that at least for in vitro assays, MOI and infectivity measures not just viable viruses but also specific cell conditions required for the infectious process to proceed.

Imagine that a weak interaction between the viral particle viable, full, complete genome with a membrane protein prevents the access of a virus to the functional receptor. A situation that it is likely to vary with every cell type.



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