Abstract

Highly ordered superstructures composed of inorganic nanoparticles appear in natural and synthetic systems, however the mechanisms of non‐equilibrium self‐organization that may be involved are still poorly understood. Herein, we performed a kinetic investigation of the precipitation of calcium phosphate using a process widely found in microorganisms: the hydrolysis of urea by enzyme urease. With high initial ratio of calcium ion to phosphate, periodic precipitation was obtained accompanied by pH oscillations in a well‐stirred, closed reactor. We propose that an internal pH‐regulated change in the concentration of phosphate ion is the driving force for periodicity. A simple model involving the biocatalytic reaction network coupled with burst nucleation of nanoparticles above a critical supersaturation reproduced key features of the experiments. These findings may provide insight to the self‐organization of nanoparticles in biomineralization and improve design strategies of biomaterials for medical applications.

Highlights

  • Self-organization refers to the structures found in chemical and biological systems arising from internal feedback mechanisms far from equilibrium.[1]

  • Turbidity measurements revealed an increase in the amount of calcium phosphate formed with higher initial concentrations of calcium ion (Figure S1)

  • The bands obtained in the Raman spectrum of the particles are associated with vibrational modes of PO43À; the broad peak at 952 cmÀ1 (Figure S3) is indicative of amorphous calcium phosphate (ACP) or poorly crystalline hydroxyapatite (Ca10(PO4)6(OH)2, HAP).[16]

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Summary

Introduction

Self-organization refers to the structures found in chemical and biological systems arising from internal feedback mechanisms far from equilibrium.[1]. If the enzyme rate (turnover number) was increased in simulations, or the precipitation rate (KJ) decreased, S rose above Scrit1 and continuous production of calcium phosphate was observed.

Results
Conclusion
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