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bioRxiv · 10.1101/2025.10.25.684540

A quantitative framework for interpreting rate and capacity effects in oral regenerative scaffolds

Colangelo, M. T.·Guizzardi, S.·Galli, C.
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Abstract

Successful oral and periodontal regeneration requires scaffolds that do more than host cells--they must regulate both the tempo and the extent of growth within healing tissues. While proliferation data are routinely quantified, comparisons across materials remain fragmented. We introduce the scaffold-augmented logistic (SAL) framework, a minimal quantitative formalism that organizes scaffold performance within a two-parameter space defined by the effective growth rate (reff) and the effective carrying capacity (Keff). Each scaffold can thus be positioned on an R/K design map, where R = reff/r0 reflects relative kinetic enhancement and K* = Keff/K0 expresses sustainable population capacity with respect to a 2D reference. Applied to in vitro and ex vivo data from oral and periodontal systems, the SAL framework distinguishes R-type (rate-dominated), K-type (capacity-dominated), and hybrid R + K scaffolds. By expressing complex biological outcomes through interpretable parameters, SAL provides a shared quantitative language for scaffold classification and design. It enables model-based reinterpretation of existing data and prediction of design sensitivities, offering a compact quantitative grammar for regenerative scaffold development in oral tissue engineering.

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Colangelo, M. T., Guizzardi, S., Galli, C.. 2025-10-26. A quantitative framework for interpreting rate and capacity effects in oral regenerative scaffolds. https://doi.org/10.1101/2025.10.25.684540

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