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Update docs/src/inverse_problems/structural_identifiability.md
Co-authored-by: Sam Isaacson <[email protected]>
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docs/src/inverse_problems/structural_identifiability.md

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@@ -37,7 +37,7 @@ goodwind_oscillator = @reaction_network begin
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end
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assess_identifiability(goodwind_oscillator; measured_quantities=[:M], loglevel=Logging.Error)
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```
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From the output, we find that `E(t)`, `pₑ`, and `pₚ` (the trajectory of $E$, and the production rates of $E$ and $P$, respectively) are non-identifiable. Next, `dₑ` and `dₚ` (the degradation rates of $E$ and $P$, respectively) are locally identifiable. Finally, `P(t)`, `M(t)`, `pₘ`, and `dₘ` (the trajectories of `P` and `M`, and the production and degradation rate of `M`, respectively) are all globally identifiable. We note that we also imported the Logging.jl package, and provided the `loglevel=Logging.Error` input argument. StructuralIdentifiability functions generally provide a large number of output messages. Hence, we will use this argument (which requires the Logging package) throughout this tutorial to decrease the amount of printed text.
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From the output, in the associated reaction rate equation ODE model we find that `E(t)`, `pₑ`, and `pₚ` (the trajectory of $E$, and the production rates of $E$ and $P$, respectively) are non-identifiable. Next, `dₑ` and `dₚ` (the degradation rates of $E$ and $P$, respectively) are locally identifiable. Finally, `P(t)`, `M(t)`, `pₘ`, and `dₘ` (the trajectories of `P` and `M`, and the production and degradation rate of `M`, respectively) are all globally identifiable. We note that we also imported the Logging.jl package, and provided the `loglevel=Logging.Error` input argument. StructuralIdentifiability functions generally provide a large number of output messages. Hence, we will use this argument (which requires the Logging package) throughout this tutorial to decrease the amount of printed text.
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Next, we also assess identifiability in the case where we can measure all three species concentrations:
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```example si1

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