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It is shown that, in a certain area of parameter values, the trajectories of the model form a family of homoclinics to the origin (so-called elliptic sector).
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Since it is possible that a range of parameter values could provide similar unperturbed state values, another area of future investigation would involve sensitivity analysis of the model.
Interpretation of parameter values.
The range of parameter space covered is displayed as the span of parameter values (Figure S2b).
This phenomenon exists for a broad range of parameter values.
This prevents unnecessarily changes of parameter values.
Mean value columns: Averages and standard deviations of parameter values.
For a wide area of the parameter values, the trajectories lie in a bounded domain, and for this reason, these trajectories demonstrate (quasi chaotic behavior for all reasonable values of the virus birth rate M. In contrast, the logistic model has stable modes.
We found that the linear relationship between CMRO2 and CBF and the highly similar slopes found for active and deactive areas held under a wide range of parameters values adopted for the parameters M, α, and β in the neurovascular model (ranges: α = 0.15 0.45, β = 1.0 1.6, and M = 5.7 25%) (see Supplementary Figure 2 and Table 1).
The equation for incision rate, assumed constant, is solved for valley gradient as a function of contributing area, and parameter values are estimated from or supplied by field data.
These differences arise because priors play a crucial role in determining which areas of parameter space the values of the simulation will be drawn from, independent of the data at hand.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com