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# Infectiousness over time | ||
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## Overview | ||
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We provide a way for reading in a user-specified infectiousness over time distribution (generation interval) | ||
and appropriately scheduling infection attempts based on the distribution. The user provides an input file | ||
that contains samples from the cumulative distribution function (CDF) of the generation interval (GI) over | ||
time at a specified $\Delta t$, describing the fraction of an individual's infectiousness that has passed | ||
by a given time. The input data are assumed to have a format where the columns represent the times since | ||
the infection attempt (so starting at $t = 0$) and the entries in each row describe the value of the GI | ||
CDF. Each row represents a potential trajectory of the GI CDF. | ||
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People are assigned a trajectory number (row number) when they are infected. This allows for each person | ||
to have a different GI CDF if each of the trajectories are different. However, that trajectory number will | ||
be used for also drawing the person's other natural history characteristics, such as their symptom onset | ||
and improvement times or viral load trajectory. This allows easily encoding correlation between natural | ||
history parameters (the user provides input CSVs where the first row in each CSV is from a joint sample | ||
of GI, symptom onset, symptom improvement, etc.) or allowing each of the parameters to be independent. | ||
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## Assumptions | ||
1. There are no requirements on the number of trajectories fed to the model. Trajectory numbers are assigned | ||
to people uniformly and randomly. However, this means that an individual who is reinfected could have the exact | ||
same infectiousness trajectory as their last infection. | ||
2. There must be the same number of parameter sets for each parameter provided as an input CSV. For now, we are focusing | ||
only on GI, but we will soon expand our work to also include symptom onset and symptom improvement times. | ||
3. We have not yet crossed the barrier of how to separately treat individuals who are asymptomatic only. Are their | ||
GIs drawn from a separate CSV? Should their $R_i$ just be multiplied by a scalar? Part of the reason we are deferring | ||
this decision is because our previous isolation guidance work focused only on symptomatic individuals. |
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