ArticleBiophysical journal2002
Reaction diffusion model of the enzymatic erosion of insoluble fibrillar matrices.
Article in Biophysical journal, 2002. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- Development of Biomimetic Gelatin-Hydroxyapatite Composites Containing Doxycycline with Osteogenic Potential.ACS applied bio materials · 2025Article
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- Modeling collagen fibril degradation as a function of matrix microarchitecture.bioRxiv : the preprint server for biology · 2024Article
- Monitoring the Degradation of Collagen Hydrogels by CollagenaseGels (Basel, Switzerland) · 2020Article
- Micromechanical Modeling Study of Mechanical Inhibition of Enzymatic Degradation of Collagen Tissues.Biophysical journal · 2015Article
- Micropatterned sensing hydrogels integrated with reconfigurable microfluidics for detecting protease release from cells.Analytical chemistry · 2013Article
- Highly sensitive single-fibril erosion assay demonstrates mechanochemical switch in native collagen fibrils.Biomechanics and modeling in mechanobiology · 2013Article
- Conformational dynamics accompanying the proteolytic degradation of trimeric collagen I by collagenases.Journal of the American Chemical Society · 2012Article
- Molecular mechanism of force induced stabilization of collagen against enzymatic breakdown.Biomaterials · 2012Article
- In vivo and in vitro tracking of erosion in biodegradable materials using non-invasive fluorescence imaging.Nature materials · 2011Article
- Molecular mechanochemistry: low force switch slows enzymatic cleavage of human type I collagen monomer.Journal of the American Chemical Society · 2011Article
- Article
- Mechanical strain enhances survivability of collagen micronetworks in the presence of collagenase: implications for load-bearing matrix growth and stability.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2009Article
- Human neutrophil elastase responsive delivery from poly(ethylene glycol) hydrogels.Biomacromolecules · 2009Article
- Diffusion-limited binding explains binary dose response for local arterial and tumour drug delivery.Cell proliferation · 2009Article
- Deformation-dependent enzyme mechanokinetic cleavage of type I collagen.Journal of biomechanical engineering · 2009Article
- A theoretical framework for beta-glucan degradation during barley malting.Theory in biosciences = Theorie in den Biowissenschaften · 2009Article
- The hydration dynamics of polyelectrolyte gels with applications to cell motility and drug delivery.European biophysics journal : EBJ · 2004Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Predicting the time course of in vivo biodegradation is a key issue in the design of an increasing number of biomedical applications such as sutures, tissue analogs and drug-delivery devices. The design of such biodegradable devices is hampered by the absence of quantitative models for the enzymatic erosion of solid protein matrices. In this work, we derive and simulate a reaction diffusion model for the enzymatic erosion of fibrillar gels that successfully reproduces the main qualitative features of this process. A key aspect of the proposed model is the incorporation of steric hindrance into the standard Michaelis-Menten scheme for enzyme kinetics. In the limit of instantaneous diffusion, the model equations are analogous to the standard equations for enzymatic degradation in solution. Invoking this analogy, the total quasi-steady-state approximation is used to derive approximate analytical solutions that are valid for a wide range of in vitro conditions. Using these analytical approximations, an experimental-theoretical method is derived to unambiguously estimate all the kinetic model parameters. Moreover, the analytical approximations correctly describe the characteristic hyperbolic dependence of the erosion rate on enzyme concentration and the zero-order erosion of thin fibers. For definiteness, the analysis of published experimental results of enzymatic degradation of fibrillar collagen is demonstrated, and the role of diffusion in these experiments is elucidated.
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