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Collagen Synthesis and Cross-linking

The primary structural component of the healed wound. Synthesis involves Type III collagen initially, transitioning to Type I. Cross-linking stabilizes the matrix, governed by enzymatic reactions.
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The statement of the theorem

Let CIIIC_{III} and CIC_{I} be the concentrations of Type III and Type I collagen, respectively. The synthesis rate is modeled as a transition from Type III to Type I, followed by cross-linking (XL\text{XL}). \nd[CIII]dt=ksynth,III[Fibroblast]−ktrans[CIII]+kdeg,III[CIII]\frac{d[C_{III}]}{dt} = k_{synth, III} [\text{Fibroblast}] - k_{trans} [C_{III}] + k_{deg, III} [C_{III}]\nd[CI]dt=ktrans[CIII]−kdeg,I[CI]+kXL[CI]2[Lysyl Oxidase]\frac{d[C_{I}]}{dt} = k_{trans} [C_{III}] - k_{deg, I} [C_{I}] + k_{XL} [C_{I}]^2 [\text{Lysyl Oxidase}]\nwhere kXLk_{XL} is the cross-linking rate, which is dependent on the concentration of enzymatic cross-linkers.
Source: Wikipedia