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Table 3 Response of cells to small perturbations in parameter values

From: Reaction-Diffusion-Delay Model for EPO/TNF-α Interaction in articular cartilage lesion abatement

Response of cell behavior to small changes in parameter values
Parameter Response to increase in value Response to decrease in value
σ R Lesion expansion is abated sooner Steadily approaches no EPO case
σ M Robust Robust, until a M = 0 when no inflammation occurs
σ F Lesion abatement becomes less efficient Lesion expansion is abated sooner
σ P Lesion expansion is abated sooner Steadily approaches no EPO case
Λ Robust Robust (must have Λ > 0)
λ R Lesion abatement becomes less efficient Lesion expansion is abated sooner
λ M Lesion expansion is abated sooner Steadily approaches unabated lesion expansion
λ F Lesion expansion is abated sooner Lesion abatement becomes less efficient
λ P Robust Robust
α Robust Penumbra becomes more vigorous but smaller in radius
β 1 Lesion abatement becomes less efficient Formation of penumbra steadily decreases
β 2 Robust Robust
γ Robust Penumbra becomes more vigorous but smaller in radius
ν Robust Robust
μ S A Robust Robust
μ D N Robust Robust
  1. This tables summarizes the results of the parameter study described in the main body of the text. When we say "robust" we mean that the qualitative behavior of the simulations in unchanged as the parameter value is varied.