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

Biology Direct

Table 3 Response of cells to small perturbations in parameter values

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

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.

ISSN: 1745-6150