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delta t and links
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Arina Danilina committed Dec 5, 2024
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"\n",
"We could use the parameters corresponding to the birth-death process on gene expression space with birth rate $\\beta$ and death rate $\\delta$: during a time interval $\\Delta t$, the probability of a birth is $\\beta \\Delta t$ and the probability of a death is $\\delta \\Delta t$.\n",
"\n",
"The $\\Delta t$ is inferred automatically from `~moscot.problems.time.TemporalProblem.temporal_key` in this case and works with any problem with `temporal_key` present - e.g. `~moscot.problems.time.LineageProblem.temporal_key` and `~moscot.problems.spatiotemporal.SpatioTemporalProblem.temporal_key`.\n",
"\n",
"Then the birth process is\n",
"\n",
"$\\beta_{max}$ - maximum birth rate in optimal conditions, $\\beta_{min}$ - minimum birth rate (e.g. in absence of proliferative signals), $\\beta_{center}$ - peak value of probabilistic birth rate distribution, $\\beta_{width}$ - variability of the birth rate.\n",
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