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# In situ mechanical reinforcement of polymer hydrogels via metal-coordinated crosslink mineralization

## Abstract

Biological organic-inorganic materials remain a popular source of inspiration for bioinspired materials design and engineering. Inspired by the self-assembling metal-reinforced mussel holdfast threads, we tested if metal-coordinate polymer networks can be utilized as simple composite scaffolds for direct in situ crosslink mineralization. Starting with aqueous solutions of polymers end-functionalized with metal-coordinating ligands of catechol or histidine, here we show that inter-molecular metal-ion coordination complexes can serve as mineral nucleation sites, whereby significant mechanical reinforcement is achieved upon nanoscale particle growth directly at the metal-coordinate network crosslink sites.

## Introduction

From abalone shells to tendons, nature displays a wide array of organic–inorganic composites with a broad spectrum of mechanical properties spanning from hard and fracture resistant to soft and tough1. This remarkable variety is in large part thanks to the evolution of cell-orchestrated material assembly processes, in which cascades of catalytic proteins and ion transport mechanisms coordinate the templated mineralization of macromolecular scaffolds2,3,4,5. In the absence of successful mimicry of such active cellular material assembly, various biomacromolecular hydrogel networks have been employed in attempts to gain some control over material mineralization processes, and different biomolecular functionalities have been utilized to bind metal ions, upon which metal oxide minerals can nucleate and grow6,7,8,9. In an attempt to gain deeper insights on the coupling between early stage mineral growth dynamics and polymer network mechanics, we sought to nucleate metal oxide particle growth directly at chain-end inter-molecular crosslinking sites in a model hydrogel scaffold. To assemble such a system, we took inspiration from the incorporation of Fe-catechol coordinate crosslinks in mussel holdfast threads, a material design principle, which have been widely utilized in the integration of tunable stimuli-responsive motifs in advanced hydrogel engineering10,11,12. Since catechol ligands have also been shown to bind strongly to iron oxide nanoparticle surfaces13,14,15,16,17,18, we hypothesized that a catechol-polymer network could be utilized as a simple mineralization scaffold, wherein in situ iron oxide mineral nucleation is targeted directly to the network crosslink sites by strong coordination bonding, thereby avoiding the compromise in network elasticity normally observed upon particle incorporation15,19,20,21,22. While the Fe-catechol system serves as an ideal platform to test our proof of concept of metal-coordinate crosslink mineralization15,23,24,25, we further examined if this approach could be extended to different metal-ligand coordination systems using histidine-modified polymers, which bind ions and minerals of nickel or copper.

Here, we introduce our findings supporting that metal-ion coordination complexes can indeed serve as direct mineral nucleation sites, whereby significant mechanical reinforcement is achieved upon nanoscale particle growth directly at the metal-coordinate network crosslink sites.

## Results

### In situ metal-coordinate crosslink mineralization approach

As a scaffold for the in situ mineralization of iron oxide nanoparticles, we employed a hydrogel composed of catechol-functionalized 4-arm polyethylene glycol (4cPEG) polymers crosslinked by permanent catechol-catechol covalent bonds and transient Fe3+-catechol metal-coordinate complexes (labeled in Fig. 1a as Mineral-Free). This initial Mineral-Free polymer hydrogel scaffold was established according to a mussel-inspired gel assembly method11, which introduces both covalent and coordination network crosslinks by mixing 4cPEG and Fe3+ at a 1:1 molar ratio of metal-ion to catechol ligand, followed by raising the pH to 12 with OH. To subsequently initiate in situ mineralization of Fe3O4 within this polymer scaffold (labeled as In Situ in Fig. 1b), we added just enough Fe2+ to the gel to hypothetically form a single formula unit of Fe3O4 at each possible tris-catechol-coordination crosslink site (please see “Methods” section for details). To test if this targeted crosslink mineralization results in enhanced network reinforcement as predicted, we prepared two control polymer networks; in Ex Situ networks (Fig. 1c) we initiated nucleation and growth of Fe3O4 particles outside of the metal-coordinate polymer network before mixing with the 4cPEG polymer. In Ligand-Free samples, while following the same sample protocol as In Situ gels, we used a polymer with no metal-coordinating ligand, whereby any crosslink mineralization should be lost (labeled as Ligand-Free in Fig. 1d).

We used small amplitude oscillatory shear (SAOS) rheology to measure the storage moduli (G′) and loss moduli (G″) of the Mineral-Free and mineralized networks. As demonstrated in past work, SAOS is a useful tool to study both in situ mineralization in hydrogels26 and the mechanical differences between 4cPEG gels crosslinked via Fe3+ ions or Fe3O4 nanoparticles15. As shown in Fig. 1e–f, we observed at least a threefold increase in plateau modulus (Gp) of the In Situ mineralized gels compared to all other networks (see Supplementary Fig. 1 for multiple datasets). To test if mineralization directly targeted at the metal-coordinate crosslink sites results in enhanced mechanical coupling of Fe3O4 particles within the polymer network, we can compare our data with predictions from the Guth-Gold equation for non-interacting fillers in rubbers27 and gels28. With the assumption of complete mineralization of all reactants, and thereby a maximum mineral volume fraction (Φmineral) of 0.074 vol%, Guth-Gold estimation predicts that the increase in stiffness (as captured by the plateau modulus-Gp) of the Mineral-Free gel network expected upon incorporating such small amount of non-interacting particles is only around 10 Pa (Supplementary Fig. 2). Instead, the stiffness increase observed upon the in situ gel mineralization is over three orders of magnitude higher (around 30,000 Pa), which supports that the minerals formed are strongly interacting with the network, in agreement with metal-coordinate crosslink mineralization. In contrast, with uncontrolled mineral nucleation and growth initially outside the metal-coordinating network, Ex Situ gels displayed comparatively poor mechanical properties, likely due to limited network incorporation of the pre-formed large and heterogeneous particles visibly precipitating in the sample as shown in Fig. 1c. Note that the Ex Situ gel is formed by mixing a solution of pre-formed mineral precipitates (as in Mineral-Only, further characterized in Supplementary Fig. 3) with the polymer solution to induce gelation. Finally, within solutions of polymers without a metal-coordinating ligand on the backbone (Ligand-Free), as shown in Fig. 1d we observed even more pronounced precipitation compared to Ex Situ, in addition to no gel assembly upon mineralization. These observations combined support a direct role of metal-coordination in controlling crosslink mineralization as well as negligible contributions from mineral-polymer interactions outside the network crosslink sites to both network formation and elasticity.

To further explore the role of metal-coordination in targeted crosslink mineralization, we obtained Raman spectra of the In Situ, Ex Situ, and Mineral-Free networks, shown in Fig. 1g alongside reference spectra of pure 4cPEG (Polymer-Only) and polymer-free iron oxide minerals (Mineral-Only). The resonance peaks observed between ~530 to ~650 cm−1 in the In Situ, Ex Situ, and Mineral-Free gels confirm the presence of Fe-catechol coordinate interactions. Specifically, the three distinct peaks at 531, 593, and 643 cm−1 observed in the spectrum of the Mineral-Free gel have been previously assigned to the coordination bonding interactions between Fe3+ and the oxygens of the catechol ligand in a high pH environment10. The peak broadening observed in the In Situ gel spectrum is reminiscent of previous results from composite Fe3O4 nanoparticle coordinate crosslinked 4cPEG gels reported by Li et al.15. These observations support the hypothesis that in situ gel mineralization can indeed be targeted at the gel network crosslinking sites through a transformation of initial Fe3+-catechol coordinate complexes into catechol-bound Fe3O4 mineral particle crosslink structures. In addition, the spectrum from the Mineral-Only sample displays a peak centered around 680 cm−1 corresponding to Fe3O4 (magnetite) minerals24,25, a peak which also appears in the spectrum of In Situ samples alongside a smaller peak around 730 cm−1 indicative of Fe2O3 (maghemite)24. We note, however, that a mixture of iron oxide phases is likely to result from our mineralization process and continued oxidation in air. Together these findings support not only the existence of iron oxide mineral particles in the In Situ network, but more importantly a direct interaction between catechol and mineral particles in the network crosslinks. In contrast, the Raman spectrum of the Ex Situ gel suggests that the dominant polymer-metal interaction within these networks remains Fe3+-ion-catechol coordination with little to no mineral surface coordinate interactions, in support of poor integration of pre-formed minerals within these gels.

### Additional mineralization and gel solidification

Next, we examined the effect of additional mineralization on the properties of the In Situ hydrogel to test if repeated mineralization cycles would further grow Fe3O4 particles at coordinate crosslink sites (Fig. 2a). To synthesize this series of gel samples with increasing levels of mineralization, we added equivalent stoichiometric amounts of Fe3+, Fe2+, and OH ions to an In Situ gel for a total of four additional mineralization cycles, thereby generating a series of samples labeled In Situ ×1–×5 (please see the “Methods” for details on sample preparation). As evidenced by transmission electron microscopy (TEM) images of thin sections of In Situ ×1 and ×5 gel samples shown in Fig. 2b, c, the in situ grown mineral particles are well-dispersed in the metal-coordinate gel networks. While spherical particles of only a few nanometers in diameter dominate the In Situ ×1 gels, larger particles up to tens of nanometers in diameter (indicated with arrows in Fig. 2c) are additionally observed in the In Situ ×5 gels, alongside thin, rod-like particles present in both samples (see Table 1 in “Methods” section, Supplementary Figs. 4 and 5 for particle size distributions in In Situ ×1 and ×5, respectively). The larger particles in the In Situ ×5 gels appear to be composed of aggregates of smaller particles, and high-resolution TEM clearly displays consistent lattice fringes, suggesting that the individual particles in the aggregate are a single crystal29,30,31,32. The lattice fringes shown in the inset (Fig. 2c) correspond to (220) planes of magnetite (Supplementary Fig. 6). Based on TEM area fractions, we estimate a total mineral content of Φmicroscopy 0.29 vol% in the hydrated In Situ ×5 gel, which is in good agreement with the predicted maximum when assuming complete mineralization of Φmaximum 0.37 vol%, especially taking into account the small, but unavoidable volume change of the gel during TEM specimen preparation (please see “Methods” for details). All of the mineralized gels show superparamagnetic behavior typical of Fe3O4 nanoparticles33,34, and as the volume fraction of mineral increases with mineralization, the magnetic properties of the gels are enhanced, as shown in Fig. 2d. This behavior offers a magnetization-based estimate of the mineral volume fraction in each hydrogel. Specifically, by comparing the maximum magnetization of each sample with the saturation magnetization for pure bulk Fe3O4 of 86 emu/g35, we estimate a mineral volume fraction of Φmagnetic 0.28 vol% for the In Situ ×5 hydrogel, which closely corresponds to the Φmicroscopy 0.29 vol% estimated from the above TEM image analysis (Supplementary Figs. 7 and 8). Furthermore, Φmagnetic increases linearly across all five reaction cycles indicating well-controlled in situ gel mineralization. USAXS analyses of the In Situ ×5 gels (Fig. 2e) provide complementary evidence for size and spatial distribution of the mineral content in the In Situ gels as observed in TEM (Supplementary Figs. 9 and 10, and Supplementary Table 1 for model parameters and additional details on the analysis). Importantly, the scattering data is well-captured by a model that combines scattering contributions from particle size and distribution parameters identified from TEM (Supplementary Fig. 9). A monotonic scattering at low q is also observed (Fig. 2e black dashed line), indicating spatial features with a scale that clearly exceeds the 1 µm length-scale limit of USAXS; such large features are absent in TEM images, and thus we attribute this to the macrostructure of the gel as commonly observed in other studies36,37. In contrast to the In Situ gel, the Mineral-Free gel exhibits substantially weaker scattering in the higher q regime and no discernable scattering below q = 0.1 Å as expected (Supplementary Fig. 10). Overall, the absence of structure factor correlations at high q and larger scattering objects at low q in the USAXS data support the notion of small well-dispersed minerals in our In Situ gels.

Figure 2f displays representative SAOS frequency sweeps of the series of In Situ ×1 to ×5 gels, demonstrating a progressive transformation into gels with increasingly rubbery solid-like behavior with further mineralization as evidenced by the increasing storage modulus (G′) at low frequencies (long timescales) and overall decreasing loss modulus (G″). This mechanical evidence of network solidification through crosslink mineralization is more clearly shown in Fig. 2g, which illustrates the consistent stepwise decrease in tan δ (tan δ = G″/G′), and therefore total network dissipation, with each cycle of mineralization. Similarly, the characteristic time scale required for the bulk hydrogel networks to relax stress following a step-strain test also increases with each mineralization cycle in accordance with more solid-like behavior (Supplementary Fig. 11). To examine how increasing mineralization changes gel properties during deformation to failure, we used large amplitude oscillatory shear (LAOS) rheology (Fig. 2h, Supplementary Fig. 12), as well as tensile tests (please see Supplementary Figs. 13 and 14 for details). We show the evolution of Gγ (i.e., the elastic component of the total sample stress) as a function of strain amplitude γ in Fig. 2h, which represents a rheological analog of a tensile stress–strain plot38. The figure reveals a significant increase in the ultimate shear strength (i.e., the maximum in Gγ) upon mineralization. This mineral-induced increase in ultimate strength is also observed in tensile tests (Supplementary Figs. 13 and 14). Furthermore, the mineralized gels exhibit increased energy dissipation during failure (demonstrated by a maximum in G″ in LAOS tests, Supplementary Fig. 12)—a feature absent in the Mineral-Free systems—which suggests that mineralization introduces a discrete energy dissipation mode in the gel plausibly via mineral-catechol interfacial bond-breakage analogous to the filler-induced Payne effect.

### In situ mineralization of other metal-ligand systems

Finally, to demonstrate the generality of our in situ mineralization approach, we synthesized gels with different metal-ligand coordination complex crosslinks (Fig. 4 and Supplementary Figs. 1922). We used the same 4-arm PEG polymer backbone but functionalized with histidine ligands (4hPEG) instead of catechol, and first prepared Mineral-Free gels with metal-coordinate crosslinks with either Ni2+ or Cu2+ ions42. Importantly, unlike the oxidation-prone catechol-based gel networks above, these histidine-metal-coordinate networks do not contain covalent crosslinks, hence they behave close to purely transient viscoelastic fluids before any network mineralization, as has been reported in previous work42,43,44. We next introduced additional Ni2+ and Cu2+ ions into these fluid networks to induce in situ mineralization of Ni(OH)2 and Cu(OH)2, respectively (more information on mineral morphologies and compositions available in Supplementary Figs. 2022). Both Ni- (Fig. 4a, b) and Cu-histidine networks (Fig. 4c, d) underwent drastic changes in mechanical properties with mineralization, both becoming solids compared to their Mineral-Free counterparts, as evidenced by the changes in the storage (G′) and loss modulus (G″) such that G′ > G″ at all measured frequencies and slower stress-relaxation (Supplementary Fig. 19). The dramatic switch to overall solid-like rheological behavior, slow-down of the stress-relaxation and increase in Gp upon mineralization of purely transient viscoelastic fluids to our knowledge have not been demonstrated before. As observed in the Fe-catechol system, analogous Ex Situ gels showed a loss in stiffness plausibly due to inefficient crosslinking from mixing in pre-existing minerals, while no gelation occurred without metal-coordinating ligands on the polymer backbone (Ligand-Free). We also note the possible inclusion of impurities other than metal hydroxides, however, regardless of the mineral identity, our results demonstrate the generality of the in situ mineralization-induced reinforcement of metal-coordinate polymer networks.

## Discussion

Mineralization in macromolecular hydrogel networks is a broad field of study, which have focused on various important topics such as mineral morphogenesis control45,46,47,48,49, mineral incorporation of macromolecules41,50,51, as well as the influence of mineralization on mechanical properties, for example of solid nacre-like nanocomposites52,53. Here, we have shown that metal-coordinate crosslinked macromolecular hydrogel networks appear to offer new opportunities to direct the growth of nanoparticles through in situ gel mineralization. By nucleating minerals directly at the coordinate complex crosslinking sites, we were able to better control mineralization spatially, while mechanically reinforcing the hydrogel network using only a small amount of minerals and minimizing network defect formation typically associated with a more conventional incorporation of particles such as mixing. This approach was shown to be generally applicable to different types of metal-coordinate crosslinking systems. Furthermore, through repeated mineralization cycles, we demonstrated the ability to increase mineral content and hydrogel magnetization without sacrificing gel stiffness and strength. We thereby achieved a significant increase in stiffness using only a small amount of minerals compared with conventional nanoparticle composite gels. We note that the scope of this paper was not to mimic hard-condensed biological composite materials such as nacre52,53 or chiton teeth3,54. Rather we focused on a fundamental exploration of a new bioinspired approach to reinforcement of organic–inorganic soft-condensed matter that could prove advantageous and efficient compared to conventional routes. Nonetheless, our work suggests that we can simultaneously reinforce and functionalize hydrogels with magnetic properties for potential use in soft actuation, drug delivery, and tissue engineering applications6,7,8,9,55,56. More broadly, the bioinspired approach to material solidification through targeted crosslink mineralization of aqueous metal-coordinate polymer networks presented here, could offer both resource- and cost-efficient processing pathways required to meet the future demands of sustainable manufacturing of organic–inorganic composite materials.

## Methods

### Materials

Ten kilodaltons 4-arm-PEG-NHS (4aPEG-NHS) and 10 kDa 4-arm-PEG-NH2 (4aPEG-NH2) were purchased from JenKem Technology USA, Inc. Inorganic salts including iron(III) chloride hexahydrate (FeCl3 ∙ 6H2O), iron(II) chloride tetrahydrate (FeCl2 ∙ 4H2O), nickel(II) chloride hexahydrate (NiCl2 ∙ 6H2O), copper(II) chloride hexahydrate (CuCl2 ∙ 6H2O), calcium chloride (CaCl2), and sodium hydroxide (NaOH) were purchased from Sigma-Aldrich unless indicated otherwise. All other organic ingredients were purchased from Sigma-Aldrich.

### Synthesis of 4cPEG

4-arm-PEG-catechols (4cPEG) was synthesized following a previously reported process44 with some modifications: dopamine hydrochloride (dopa-HCl) (1.5× molar relative to –NHS) was mixed with 4aPEG-NHS and dissolved in the 10 mL of anhydrous N,N-dimethylformamide (DMF) in the round-bottom flask. The reaction was initiated by adding triethylamine (TEA) (2.5× molar equivalent relative to –NHS) to substitute –NHS to –catechols in the flask protected with N2 gas. The reaction was proceeded for 12 h with magnetic stirring in the flask in the 55 °C silicone oil bath to produce 4cPEG. Then, the flask was cooled down to room temperature. Then, organic phase with the product was separated from the aqueous phase with the salts via adding 20 mL of chloroform and 20 mL of water. Subsequently, the organic phase was extracted through separatory funnel. The remnant water from the organic solution was removed by adding the Na2SO4 to aggregate with water and precipitate. Then the organic solvent was vaporized using a rotary evaporator. The product was further purified via precipitating in diethylether, followed by re-dissolving in 5 mL of dichloromethane (DCM), then re-precipitating in diethylether. After repeating the above purification steps 3+ times, the precipitate was dried via vacuum, then freeze-dried to obtain the final product (4cPEG).

### Synthesis of 4hPEG

4-arm-PEG-histidine (4hPEG) was synthesized following the previously reported method42. In brief, 5.0 g of 4aPEG-NH2 (10 kDa), 1.49 g of Boc-His(Trt)-OH and 1.33 g of BOP reagent were mixed in the 15 mL of dichloromethane (DCM) in the Schlenk flask protected with N2 gas. 1.07 mL of N,N-diisopropylethylamine (DIPEA) was then added to initiate the reaction and proceeded for 2 h. The product was precipitated in diethylether, followed by purification through dissolving and precipitating in methanol under –20 °C, 3+ times, then re-precipitated in diethylether. The product was dried under vacuum, then went through the deprotection reaction for 2 h in the cleavage solution comprising 95 mL trifluoroacetic acid (TFA), 2.5 mL of triisopropylsilane and 2.5 mL of water. The solvent was then vaporized via rotary evaporation and the product was purified again through precipitating in diethylether and methanol 3+ times as described before. The final product (4hPEG) was obtained by freeze-drying as described above for 4cPEG.

### Formation of Fe-4cPEG hydrogels

For hydrogels without mineralization, an [Fe3+]:[catechol] ratio of 3:3 (“3:3” gels) and 1:3 (“1:3” gels) were used by mixing an appropriate volume of 0.2 M FeCl3 ∙ 6H2O (aq) with a 200 mg/mL 4cPEG solution (12.5 μL), then raising pH up to ~12 via mixing 4 M NaOH (aq) to produce 20 μL hydrogels of 125 mg/mL polymer concentration. The final concentrations of Fe3+ were 50 mM for the 3:3 gels and 16.67 mM for the 1:3 gels. The final concentrations of NaOH were 180 mM for the 3:3 gels and 100 mM for the 1:3 gels. Unless specified otherwise, the 3:3 gels are the reference sample without mineralization, which is labeled as “Mineral-Free” or “In Situ × 0” gels according to context.

### Formation of Fe-mineral-4cPEG hydrogels

The Fe-mineral-4cPEG hydrogels (20 μL) were formed following two different methods: (1) minerals were grown within the hydrogel network in situ (labeled as “In Situ”) and (2) minerals were grown separate first, then mixed with polymer for gel formation (labeled as “Ex Situ”) reminiscent of the formation process of conventional Fe3O4-nanoparticle gels15. The In Situ gels were formed via first following the same steps for forming the Mineral-Free (3:3) gel (18.33 μL) described above, then carefully mixing 0.2 M FeCl2 ∙ 4H2O (1.67 μL) to trigger in situ mineralization in the hydrogel (20 μL). The mineralization reaction inside the hydrogel is designed to achieve stoichiometric ratios of [Fe2+]:[Fe3+]:[catechol] of 1:3:3 to match with the Fe3O4 mineralization reaction:

$${\mathrm{Fe}}^{2 + } + 2{\mathrm{Fe}}^{3 + } + 8{\mathrm{OH}}^ - \to {\mathrm{Fe}}_3{\mathrm{O}}_4 + 4{\mathrm{H}}_2{\mathrm{O}}$$

whereby the added 1× stoichiometric amount of Fe2+ is expected to react with the 2× stoichiometric amount of Fe3+ to form a 1× stoichiometric amount of Fe3O457,58, while the leftover 1× stoichiometric amount of Fe3+ can participate in tris-catechol-Fe3+ coordination complexation, which dominates at pH ~12. Note that the sample was left for 5 min to equilibrate before rheological measurement. Thus, this basic protocol should hypothetically produce one Fe3O4 per metal-coordinate crosslinking site naively assuming 100% yield. In contrast, the Ex Situ gels were formed by separately mixing the same exact composition of inorganic ingredients (FeCl3 ∙ 6H2O, FeCl2 ∙ 4H2O, NaOH) as the In Situ gels to induce mineralization, thus forming a dispersion with precipitates first (Mineral-Only), before mixing with 4cPEG (200 mg/mL) to form the hydrogel. In both gels, the final concentrations of Fe3+, Fe2+, and NaOH were 50 mM, 16.67 mM, and 190 mM, respectively. For additional comparison, the 1:3 gels were also subjected to the mineralization protocol described above, yet in this case the [Fe2+]:[Fe3+]:[catechol] ratio was adjusted to 0.5:1:3 with the final concentration of [Fe2+] in the hydrogel equal to 8.33 mM. Here, the naive assumption is made that all added Fe2+ will react with only Fe3+ ions already participating in tris-catechol coordination complexation. The In Situ gels exposed to additional cycles of mineralization (labeled as “In Situ × n”, n: 2, 3, 4, 5) were formed by first producing an In Situ gel as above (labeled as “In Situ × 1” in such context), dehydrating this gel for 24 h (25 °C, 16 % R.H.), removing excess ions by carefully rinsing and dabbing followed by another 24 h of dehydration, and then following the same sequence of adding components at identical concentrations as when producing the In Situ × 1 gel (i.e., adding polymer-free water, FeCl3 (aq), NaOH (aq), then FeCl2 (aq)), overall thereby recovering the original volume (20 μL) of the hydrogel. Thus-formed gels are labeled as “In Situ × 2” as they went through the mineralization process twice. In this manner, the In Situ × n gels were produced by repeating this same mineralization cycle up to five times.

### Formation of Ni- or Cu-4hPEG hydrogels

Ni- or Cu-4hPEG hydrogels (20 μL) were formed via adding the 0.2 M NiCl2 ∙ 6H2O or CuCl2 ∙ 6H2O to the 200 mg/mL 4cPEG aqueous solution (12.5 μL) followed by pH jump by NaOH. The hydrogel was formed in the [Ni2+ or Cu2+]:[histidine] ratio of 1:2, then the pH was controlled to ~12 via adding NaOH to form bis-metal-histidine coordinate gels. The final polymer concentration in hydrogels was 125 mg/mL. The final concentration of Ni2+ or Cu2+ was 25 mM and that of NaOH was 125 mM.

### Formation of Ni- or Cu-mineral-4hPEG hydrogels

The Ni- or Cu-mineral-4hPEG hydrogels (20 μL) were formed via first following the regular Ni- or Cu-4hPEG hydrogels (17.5 μL) processing as described above, then adding 0.2 M aqueous solution of the equal amount of Ni or Cu ions (2.5 μL, instead of the pure water in the mineral-free histidine gel) right after the pH jump to induce the following reaction while keeping the pH level for maintaining metal-histidine coordination:

$${\mathrm{Ni}}^{2 + } + 2\,{\mathrm{OH}}^ - \to {\mathrm{Ni}}\left( {{\mathrm{OH}}} \right)_2$$
$${\mathrm{Cu}}^{2 + } + 2\,{\mathrm{OH}}^ - \to {\mathrm{Cu}}\left( {{\mathrm{OH}}} \right)_2$$

Thus, the final concentration of Ni2+ or Cu2+ in the hydrogel was 50 mM and that of NaOH was 125 mM.

### Rheological measurements

The rheological measurements were performed using an Anton Paar MCR 302 rheometer (Anton Paar). A hydrogel specimen (20 μL) was placed under the 10 mm-diameter parallel plate geometry (PP10). The measurement was conducted at 25 °C with a solvent trap for retarding evaporation during the process. Oscillatory frequency sweeps were performed at constant 1% strain and angular frequency (ω) ranging from 100 to 0.1 rad/s to record the storage (G′) and loss (G″) moduli values, and corresponding phase angle (tan δ = G″/G′). Stress-relaxation tests were performed under 10% step strain (γ0), and the shear stress (σ) and relaxation modulus (G(t) = σ(t)/γ0) were recorded over 1000 s. The relaxation modulus-G(t) was normalized by Gi (the modulus at time 0.1 s when the strain was stabilized at the set value). Strain-sweep tests were performed under oscillating strain amplitudes ranging from 0.001 to 10 (i.e., 0.001 ≤ γ0 ≤ 10) at a constant frequency of ω = 10 rad/s. No visual rupture or edge fracture of the specimen was observed after the measurement.

### Tensile test

The tensile experiments were performed using a CellScale UStretch mechanical tester with a 0.5 N load-cell (CellScale Biomaterials Testing). Gel specimens (60–80 μL) were prepared in dog-bone shaped molds (gauge length 4.0 mm, width 1.9 mm and depth 1.4 mm) at 50% of the overall concentration of the hydrogels described for rheological measurements for reliable controllability in practical sample preparation. Each end of the specimen was bonded to two acrylic sheets by Scotch Superglue (3M), then the acrylic sheets were loaded on the grips to prevent any damage to the hydrogel by the direct contact with the grip. All experiments are performed at a displacement speed of 0.83 mm/s (i.e., a strain rate at $$\overline \varepsilon$$ = 0.208 s−1 for the 4.0 mm measured length of gel specimens). The tensile stress (σ) and strain (ε) were calculated from the actual sample dimensions measured before each run.

### Raman spectroscopy and microscopy

Raman spectroscopic analysis was performed using an HR800 Raman Spectrometer—LabRAM Raman confocal microscope (HORIBA Jobin Yvon) with 785 nm near-IR laser excitation. The dry specimen (dehydrated for 48 h at 20 °C, 16% R.H.) was loaded on a glass substrate, then placed on a Märzhäuser stage (Märzhäuser Wetzlar) positioned under the 10× microscope lens. The laser power was 30 mW, the grating was 600 g/mm and the filter was adjusted to 10%. The integration time was 2 s with an accumulation of five times. Raman spectra and microscopic images were obtained using LabSpec 6 (Horiba Scientific) software.

### Transmission electron microscopy (TEM)

To prepare samples for TEM, hydrated gels (20 μL) were placed into 100% ethanol overnight and then infused with EMBED-812, first with a 50/50 ethanol/EMBED-812 mixture overnight and then with 100% EMBED-812 overnight. The EMBED-812 was then polymerized. We note that while some sample volume change caused by the solvent exchange process is expected, the sample was always kept in a swollen state with respective solvents and any observed volume change was not significant. Sections were cut on a Leica EM UC7 ultramicrotome with a Diatome diamond knife at a thickness setting of 50 nm. The sections were examined using an FEI Tecnai spirit at 80 kV and photographed with an AMT CCD camera. The images were used for particle size and volume fraction analyses. A JEOL JEM-2010 high-resolution TEM operating at 200 kV was used to take higher magnification images of the iron oxide particles. The large spherical particles showed clear lattice fringes, indicating single-crystal structure.

### TEM image analysis

To obtain the average sizes, size distributions, and volume fractions of grown iron oxide particles, we processed the low-magnification TEM images using ImageJ software. To process the images for particle counting, we used the image contrast to separate the particles from the background using the “RenyiEntropy” auto threshold method. We then cleaned up the image and counted and sized the particles. We observed and classified three different types of particles: “Small” sphere, “Large” spheres, and “Rods”. We used different constraints to count each type of particle, shown in the Table 1 below. We also analyzed larger “Aggregates” found in some images (23.4 ± 12 nm). Owing to the small number of Aggregates, the analysis was done manually.

The lattice fringes (d-spacing) of “Aggregates” particles were also measured to characterize crystal identity using ImageJ from the high-magnification TEM images.

### Small-angle scattering (SAXS)

Data were collected using Ultra-Small-Angle and Small-Angle X-ray Scattering (USAXS/SAXS) instrument at 9-ID beamline at the Advanced Photon Source (APS). Instrument design and details are described elsewhere59. Hydrated samples (20 μL) were mounted in cells with sample thickness of 1 mm and with 3M Scotch tape on either side. X-ray energy was 21 keV (wavelength = 0.5905 Å), beam size was 0.6 mm × 0.6 mm for USAXS and 0.1 mm × 0.6 mm for SAXS. Data collection was 90 s for USAXS and 15 s for SAXS. Data were subtracted from a blank cell with scotch tapes, reduced, and then merged together using software (Indra, Nika, and Irena) provided by the beamline59,60,61. Slit smearing inherent to the USAXS instrument was removed using de-smearing routines in Irena to generate pinhole equivalent data for analysis. Scattering models as described in the text were fitted using Irena package61 (Supplementary Information for details).

### Magnetization analysis

Magnetization measurements were carried out using a Magnetic Property Measurement Systems 3 (MPMS3) Superconducting Quantum Interference Device (SQUID) Vibrating-Sample Magnetometer (VSM) (Quantum Design). The dry sample (dehydrated in the same condition used for preparing Raman specimen) was mounted in the clear polypropylene straw sample holder. After loading the sample into the apparatus, the magnetization (M) loop measurement was proceeded using the DC scanning mode from an applied magnetic field (H) ranging from −70,000 to 70,000 Oe at 300 K.

### Scanning electron microscopy (SEM)

The grown minerals or freeze-dried gels were characterized using a Zeiss Merlin High-resolution SEM at 1−3 kV accelerating voltage and 100–300 pA beam current, using depth of field or high-resolution (HE-SE2) mode, to determine their size and morphology.

### Energy dispersive spectroscopy (EDS)

The elemental analysis on the specimen was performed using the EDS accessory equipped on the aforementioned Zeiss Merlin High-resolution SEM. The measurement was proceeded using Analytic column mode, 5 kV accelerating voltage and 200 pA beam current. The input count per second was ~2000 cps. The minerals or polymer matrix were examined using point analysis.

### X-ray diffraction analysis (XRD)

The XRD analysis on gel specimen was performed using Bruker D8 General Area Detector Diffraction System (GADDS) Multipurpose Diffractometer. The dehydrated gel (as used in Raman spectroscopy) was placed on Eulerian ¼ cradle and the diffraction data were collected over a 2θ range 15° to 55° using Cu Kα radiation at 40 kV, 40 mA.

## Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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## Acknowledgements

S.K. acknowledges the financial support from the 12th Samsung Scholarship Program. J.S., G.H.M., and N.H.-A. acknowledge funding from the U.S. Army Research Office through the Institute for Soldier Nanotechnologies at MIT, under Contract Number W911NF-13-D-0001. TEM work was conducted utilizing the W.M. Keck Foundation Biological Imaging Facility at the Whitehead Institute with the aid of Nicki Watson. This research used resources of the Advanced Photon Source, a U.S. Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory under Contract No. DE-AC02-06CH11357. This work was supported in part by the MRSEC Program of the National Science Foundation under Award DMR-1419807. See USAXS web site for more details: https://usaxs.xray.aps.anl.gov/, contact: usaxs@aps.anl.gov

## Author information

Authors

### Contributions

S.K., A.U.R., and N.H.-A. conceived and planned the project. S.K. and A.U.R. coordinated to conduct the experiments and analyze data. S.K. designed the experiments and produced the figures. A.U.R. performed HRTEM image analysis. J.S. and J.I. performed USAXS characterization and analysis. S.K., A.U.R., J.S., and N.H.-A. prepared the manuscript. G.H.M. provided discussion. All authors discussed the results and commented on the manuscript.

### Corresponding author

Correspondence to Niels Holten-Andersen.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Peer review information Nature Communications thanks Rosa Espinosa-Marzal and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

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Kim, S., Regitsky, A.U., Song, J. et al. In situ mechanical reinforcement of polymer hydrogels via metal-coordinated crosslink mineralization. Nat Commun 12, 667 (2021). https://doi.org/10.1038/s41467-021-20953-7

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