Introduction

Molecular imprinting has been widely recognized as a promising technique for constructing synthetic polymers with selective recognition cavities that are complementary in shape, size, and functionality with respect to the template molecules [1]. For the past few decades, the interest and attention shown toward this field have been increasing at an amazing pace. With the merits of mechanical and chemical stability, ease of preparation, wide range of operating conditions, and high specificity, the potential applications of molecularly imprinted polymers (MIPs) cover a wide range of separation, catalysis, analytical chemistry, and biosensing [2, 3]. And MIPs have been successfully applied to the recognition of small molecules [412].

However, relatively little progress has been made in the area of protein imprinting due to the influence of large size, complexity, conformational flexibility, and solubility of proteins [1]. The imprinting of proteins into polysiloxane or polyacrylamide polymers in buffer solutions has suffered from unsatisfactory binding kinetics, low binding capacity, low specificity, and reproducibility. To address these problems, surface imprinting onto supporters [1320] and epitope imprinting with a fragment of the original protein as template [21, 22] have been developed. For epitope imprinting, finding the proper epitope on the target protein surface is time- and cost-consuming; thus only a few work has been presented. Surface imprinting can somewhat overcome the template transfer difficulty to achieve better binding kinetics, thus seems to dominate the protein imprinting [23]. But surface imprinting of protein is still hindered by the low binding capacity and relatively low binding specificity [2426]. Furthermore, in the process of surface imprinting of protein, low concentration monomers are involved to avoid the possible gelation of the dispersion and to get the unagglomerated imprinted particles [24], but the gelation reduction is limited and a large amount of solvent is needed. And for practical usage the separation of nano MIPs is another problem.

Recently, recognition materials combining magnetic nanotechnology with molecular imprinting have been attracting more and more attention. MIPs with magnetic response can be easily separated from complicated samples by the aid of an external magnet without any pretreatment such as centrifugation and filtration. And as magnetic nano cores have small size, large surface-to-volume ratio, and well-defined material shape, surface coating with a thin imprinted polymer shell is expected to improve MIP’s binding kinetics, binding capacity, and binding site accessibility with more complete removal of templates and lower mass transfer resistance [15].

For surface imprinting, Fe\(_{3}\)O\(_{4}\) nanoparticles (NPs) are the commonly employed magnetic core which can be modified by silane [19] or other active groups (such as vinyl [27], carboxyl [26], aldehyde [28], boronic acid [29], Cu\(^{2+}\)-iminodiacetic acid group [30], and functional initiator for controlled/“living” polymerization [17, 31]) through one or more steps. Although through fine synthesis methods the core–shell structure functionalized magnetic nanospheres with a thin coating can get improved binding kinetics and binding capacity, still some tricks are needed to further control successful imprinting shell formation and to improve the binding capacity and specificity for practical usage. And surface imprinting of protein is currently undergoing extensively study.

On the other side, molecular imprinting with bulk polymerization is more straightforward and effective. A few papers had been published about the imprinting of bovine serum albumin (BSA) [32], lysozyme (Lyz) [33, 34], bovine hemoglobin (BHb) [35], and other proteins [3641] that employing bulk polymerization method. Bulk polymerization for protein imprinting was not favorable in the past, for it was considered to be with the drawbacks of low binding kinetics and difficult template removal, and not suitable for chromatography [4244]. But with the merits of higher binding capacity, higher binding specificity, and easier preparation, protein imprinting with bulk polymerization can be a good choice for selective separation or other kind of application than chromatography. And the combination of bulk polymerization of molecular imprinting and magnetic separation would ideally provide a powerful analytical method with remarkable characteristics of selectivity, simplicity, and flexibility.

In this work, carboxyl group functionalized Fe\(_{3}\)O\(_{4}\) NPs were synthesized using a one-pot hydrothermal method, and used as both co-functional monomer and magnetic source to prepare magnetic MIPs for protein separation. The carboxyl group as co-functional monomer was incorporated in the polysiloxane imprinting system to provide more non-covalent binding sites. The non-covalent interaction between target protein and MIPs facilitates template removal and fast binding kinetics. And the preparation process is direct and simple. The binding kinetics, binding capacity, binding selectivity, and binding specificity of the obtained polymers were evaluated. Furthermore, the practicability for biological application was further investigated by specific separation of the template protein from standard binary and ternary protein mixture and real egg white sample. Results demonstrate a good prospect for real application.

Experiments and methods

Chemicals

Lysozyme (Lyz, pI 11.2, MW 14.4 kDa), bovine serum albumin (BSA, pI 4.9, MW 66.0 kDa), and ovalbumin (OVA, pI 4.7, MW 43.0 kDa) were purchased from Hess Leber Biotechnology Co. Ltd. Beijing. Bovine hemoglobin (BHb, pI 6.9, MW 64.5 kDa) was purchased from Sigma-Aldrich (Beijing, China). Tetraethyl silicate (TEOS) and ethylene glycol (EG) were purchased from Xilong chemistry Co. Ltd. (Shantou, China). 3-aminopropyltriethoxyl silane (APTES) were purchased from Beijing J&K Chemical Technology Co. Ltd. (Beijing, China). Ferric chloride crystal (FeCl\(_{3}\cdot \)6H\(_{2}\)O) was purchased from Tianjin Fuchen Chemical Reagents Works (Tianjin, China). Anhydrous sodium acetate (NaAc) and Trisodium citrate dihydrate (Na\(_{3}\)Cit\(\cdot \)2H\(_{2}\)O) were provided by Beijing Chemicals Ltd. (Beijing, China). The egg white sample was collected from fresh egg from the local market. HPLC grade acetonitrile was obtained from Beijing J&K Chemical Technology Co. Ltd. (Beijing, China). All other reagents used were of AR grade and used as received without further purification. Doubly distilled (D.D.) water was used in this work.

Instruments

The structures and morphologies of the materials were examined using transmission electronic microscopy (TEM, Hitachi H-800, Japan). Fourier transform infrared (FT-IR) spectra (4000–400 cm\(^{-1}\)) in KBr were recorded on a Spectrum BX spectrophotometer (PerkinElmer, USA). Protein adsorption data were recorded on a UV-1800 UV–Vis spectrophotometer (Shimadzu, Japan). Room temperature magnetization isotherms of magnetic nanospheres were obtained using a vibrating sample magnetometer (VSM, Lake Shore 7307, US). PowerPac Basic apparatus (Bio-Rad, Hercules, CA) was used for SDS-PAGE analysis. All chromatographic measurements were performed by Waters ACQUITY UPLC H-Class (USA) and a Tosoh TSKgel C4-300 (150 mm \(\times \) 4.6 mm, 3 μm, 300 Å) column (Japan). In addition, a drying oven on forced convection(Shanghai Keelrein instrument Co. Ltd, China), an incubator shaker THZ-D (Huamei Biochemistry, Jiangsu, China), and a vacuum drying oven DZF-6020 (Shanghai Yiheng Technical Co., LTD, China) were also used in the experiments.

Synthesis of carboxyl-functionalized Fe\(_{3}\)O\(_{4}\) NPs

The carboxyl-modification Fe\(_{3}\)O\(_{4}\) NPs (denoted as Fe\(_{3}\)O\(_{4}\)@COOH) were synthesized according to a previous report [45] with some modifications. Briefly, FeCl\(_{3}\cdot \)6H\(_{2}\)O (0.65 g), NaAc (1.2 g), and Na\(_{3}\)Cit\(\cdot \)2H\(_{2}\)O (0.2 g) were dissolved in EG (20 mL) under persistent stirring until a homogeneous yellow solution was obtained and transferred into the Teflon-lined stainless-steel autoclave. The solution was sealed and heated at 200\(^{\circ }\)C for 10 h. The resultant black products were washed with D.D. water and ethanol to remove the solvent and unreacted reagents, and then dried in vacuum for further use.

Preparation of MIPs incorporated with Fe\(_{3}\)O\(_{4}\) NPs

TEOS activation solution was first prepared. Briefly, TEOS (6.6 mL) was added into the mixture of 0.1 M HCl (1.6 mL), D.D. water (1.2 mL), and ethanol (2 mL), standing still for 24 h at room temperature. Lyz (10 mg) was dissolved in 10 mM PB buffer (pH 7.0, 10 mL) in a beaker, and mixed with Fe\(_{3}\)O\(_{4}\)@COOH NPs (20 mg), then APTES (990 μL) were added and mechanically stirred for 3 h at room temperature. Then TEOS activation solution was added into the above mixture for polymerization. After that, the product was left standing for another 12 h, then put in the drying oven overnight at 40 °C. The obtained products were ground, then rinsed with D.D. water and separated by external magnet for three cycles. Then 10 % (v/v) acetic acid 10 % (w/v) SDS solution as eluent was added to remove the template protein until no Lyz in the supernatant was detected with a UV/Vis spectrophotometer at 280 nm wavelength. The resulting imprinted polymers (denoted as Fe\(_{3}\)O\(_{4}\)–MIPs) were collected by an external magnet and washed with D.D. water, then dried under vacuum. Non-imprinted Fe\(_{3}\)O\(_{4}\)–NIPs were prepared following the same procedure in the absence of the template protein Lyz.

Binding experiments

Binding kinetics

Binding kinetics was tested by changing the adsorption time at regular intervals from 5 to 45 min while adopting the same initial concentration of Lyz at 3.0 mg mL\(^{-1}\).

The adsorption capacity (Q) of the template protein or competitive protein bound to the imprinted polymers is defined as

$$ Q = \frac{(C_{0}-C_{\mathrm{e}})V}{W} $$
(1)

where C\(_{0}\) and C\(_{\mathrm{e}}\) (mg mL\(^{-1}\)) are the initial concentration and the free analytical concentration of the template protein or competitive protein at equilibrium, V (mL) is the volume of the initial solution, and W (g) is the weight of the imprinted polymers. The binding tests were performed thrice in parallel.

Binding isotherms

Binding isotherms were achieved by batch binding tests, experiment was carried out through changing the concentrations of Lyz from 0.05 to 5.0 mg mL\(^{-1}\) while employing the same adsorption time of 30 min. And the binding capacity was calculated as above.

Binding selectivity

The binding selectivity of the Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs was studied using OVA, BSA, and BHb as comparative proteins with concentrations of 1.0 mg mL\(^{-1}\). The concentration of comparative proteins was measured by UV/Vis spectrometry at the wavelength of 280 nm for BSA and OVA, and wavelength of 406 nm for BHb.

The imprinting factor (IF) and selectivity coefficient (SC) are used to evaluate the selectivity properties of Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs toward the template protein and competitive protein. The IF and SC are calculated from the following equations:

$$ {\mathrm{IF}} = \frac{Q_{\mathrm{MIP}}}{Q_{\mathrm{NIP}}} $$
(2)
$${\text{SC}} = \frac{\text{IF}_{\text{TEM}}}{\text{IF}_{\text{COM}}}$$
(3)

where \(Q_{\mathrm{MIP}}\) and \(Q_{\mathrm{MIP}}\) (mg g\(^{-1}\)) represent the adsorption capacity of proteins for Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs, IF\(_{\mathrm{TEM}}\) and IF\(_{\mathrm{COM}}\) are the IFs for template protein and competitive protein.

Competitive binding test

Competitive binding tests were verified by using the mixed solution. The separation of binary and ternary protein mixture were carried out. 10 mg Fe\(_{3}\)O\(_{4}\)–MIPs or Fe\(_{3}\)O\(_{4}\)–NIPs were subjected to the binary protein mixture solution of BSA (1.0 mg mL\(^{-1}\)) and Lyz (1.0 mg mL\(^{-1}\)), and ternary protein solution of BSA (1.2 mg mL\(^{-1}\)), OVA (1.2 mg mL\(^{-1}\)) and Lyz (1.2 mg mL\(^{-1}\)), respectively. The adsorption experiments were carried out in a same manner as mentioned above. The concentration of each protein in the mixture solutions was determined using HPLC method.

Real sample separation

15 mg of Fe\(_{3}\)O\(_{4}\)–MIPs was merged with 4 mL of diluted egg white (chicken egg white sample diluted 40-fold with PB buffer solution, pH 7.0, 10 mM). After incubation for 30 min under gentle shaking, the Fe\(_{3}\)O\(_{4}\)–MIPs were separated by an external magnet and eluted with 10 % (v/v) acetic acid 10 % (w/v) SDS solution for 30 min to remove the absorbed protein. The diluted, absorbed, and eluted samples were analyzed with SDS-PAGE. To further quantitatively confirm the separation result, HPLC analysis was employed for diluted and absorbed sample.

Characterization

The morphology and structure of Fe\(_{3}\)O\(_{4}\) NPs and Fe\(_{3}\)O\(_{4}\)–MIPs were examined by a Hitachi transmission electron microscope (TEM, Hitachi H-800, Japan). FT-IR analysis was recorded using the Spectrum BX spectrophotometer (PerkinElmer, USA). The magnetic properties were analyzed with VSM (VSM, Lake Shore 7307, US). The concentration of single protein solution was obtained by using a UV-1800 spectrophotometer (Shimadzu, Japan). Electrophoretic analysis of protein samples was performed using PowerPac Basic (Bio-Rad, Hercules, CA) with 15 % running and 5 % stacking gels. Proteins were stained with Coomasie Brilliant Blue R-250. HPLC analysis of protein samples was performed on Waters ACQUITY UPLC H-Class system (USA) with a Tosoh TSKgel C4-300 (150 mm × 4.6 mm, 3 μm, 300 Å) column (Japan). Gradient elution program was as follows: solution A: 10 vol% acetonitrile and 90 vol% D.I. water with 0.05 vol% trifluoroacetic acid (TFA), solution B: 80 vol% acetonitrile and 20 vol% D.I. water with 0.05 vol% TFA. Linear gradient for competitive binding tests is from 65 to 10 % A in 10 min, and for real chicken white sample is from 100 to 0 % A in 35 min, with UV detection wavelength at 280 nm, flow rate 0.8 mL min−1 and injection volume 10 μL.

Results and discussion

Preparation of magnetic imprinted polymers

The scheme for the synthesis of Fe\(_{3}\)O\(_{4}\)–MIPs is illustrated in Fig. 1. First, functionalized Fe\(_{3}\)O\(_{4}\)@COOH NPs were prepared with a modified one step solvothermal method, and whose surface were coated with carboxyl groups. Next, template protein Lyz was immobilized on the surface of Fe\(_{3}\)O\(_{4}\)@COOH NPs to form template-Fe\(_{3}\)O\(_{4}\) complex through hydrogen bond and electrostatic interaction between the carboxyl groups on the exterior of Fe\(_{3}\)O\(_{4}\)@COOH NPs and amino or carboxyl groups of the proteins. Then, APTES-TEOS siloxane co-polymerization with the Lyz–Fe\(_{3}\)O\(_{4}\) complex resulted in a polymeric network that molded around template-Fe\(_{3}\)O\(_{4}\) complex. And numerous non-covalent interaction could be formed between Lyz–Fe\(_{3}\)O\(_{4}\) complex and the silanol groups of the polysiloxane, the amino groups of APTES and the alkyl chains of TEOS. The Fe\(_{3}\)O\(_{4}\) NPs were incorporated into this imprinted polymer network, providing multiple functions with binding site for target protein recognition and magnetic response property. And MIPs particles can be easily got by further grinding. Finally, after the removal of the template proteins with 10 % (v/v) acetic acid 10 % (w/v) SDS solution, MIPs with imprinted cavities complementary to Lyz in shape, size, and functional group orientation was obtained.

Fig. 1
figure 1

Schematic illustration of Fe\(_{3}\)O\(_{4}\)–MIPs preparation

Compared with those previous reported surface imprinting methods for protein recognition using Fe\(_{3}\)O\(_{4}\) NPs as supporters, the process of this preparation method was more straightforward, time-saving, and cost-effective. First, the synthesis of carboxyl group functionalized Fe\(_{3}\)O\(_{4}\) NPs only took one step in this paper, which avoid the relatively complicated multi-step modifications of Fe\(_{3}\)O\(_{4}\) NPs as evidenced in articles [1, 16, 24, 27, 28, 31, 4649]. Second, after immobilization of protein, APTES-TEOS monomer imprinting system with sol–gel process for bulk polymerization is economic and effective. Often solvent is heavily employed for surface imprinting with highly diluted monomer concentration [24, 25], but agglomeration still existed [46]. For bulk polymerization large amount of solvent is spared. Later experimental results showed that this method could get better imprinting effect. And compared with MIPs prepared by conventional bulk polymerization, Fe\(_{3}\)O\(_{4}\)–MIPs prepared in this paper demonstrated an improved binding kinetics with high binding specificity and easy usage. This work displayed some advantages in the aspect of preparation technology.

The carboxyl-functionalized Fe\(_{3}\)O\(_{4}\) NPs incorporated in the polysiloxane play an important role for protein recognition, as carboxyl functional group in the imprinted polymer network can provide more kinds of binding interactions for protein imprinting, thus improve the binding capacity and binding specificity. It was evidenced that methacrylic acid (MAA) as functional co-monomer can provide electrostatic interaction with protein, thus improving the imprinting effect in the acrylamide (AAm) - N,\(N^\prime \)-methylenebisacrylamide (MBA) imprinting combination [25, 33]. Some work about protein imprinting also adopted MAA or other carboxyl-monomer as functional co-monomer [27, 46, 48]. APTES-TEOS (or octyltrimethoxysilane, OTMS) bifunctional monomers combination for sol–gel process imprinting are commonly employed, with longer hydrophobic alkyl chain for limited improvement of protein imprinting [15, 28, 49]. But to the best of our knowledge, there is no report about carboxyl group functional monomer incorporated into this imprinting combination. In this work, Fe\(_{3}\)O\(_{4}\)@COOH NPs was incorporated into the imprinted polymer network, which act with two effect: one as magnetic response material, the other as functional co-monomer to provide carboxyl group for protein binding. And an improved imprinting effect for protein recognition is expected.

Also the kind of eluent was also investigated in this study. 0.5 M NaCl and SDS-acetic acid (10 % w/v:10 % v/v) were used in the process of elution. The results indicated that SDS-acetic acid (10 % w/v:10 % v/v) has a better elution effect, and with only five elution cycles, template removal was achieved. So we choose it as the eluent in following experiments.

Characterization of magnetic imprinted polymers

The FT-IR spectra of synthesized Fe\(_{3}\)O\(_{4}\) NPs and Fe\(_{3}\)O\(_{4}\)–MIPs are illustrated in Fig. 2, which provided direct evidences for the synthetic process of Fe\(_{3}\)O\(_{4}\)–MIPs.

Fig. 2
figure 2

FT-IR spectra of Fe\(_{3}\)O\(_{4}\)@COOH (A) and Fe\(_{3}\)O\(_{4}\)–MIPs (B)

The peak at 580 cm\(^{-1}\) was attributed to the stretch of Fe-O vibration. the two peaks located at 1560 and 1405 cm\(^{-1}\) corresponded to the COO\(^{-}\) anti-symmetrical vibration and COO\(^{-}\) symmetric vibration (Fig. 2A, B), indicating that large amounts of carboxylate groups cover the surface of the Fe\(_{3}\)O\(_{4}\) through solvothermal polymerization. When compared with Fe\(_{3}\)O\(_{4}\)@COOH, the specific features of Fe\(_{3}\)O\(_{4}\)–MIPs were C–H bond at 2851 and 2922 cm\(^{-1}\) (Fig. 2A). These results suggested that APTES and TEOS have been successfully polymerized to form the particles.

The morphological structure and size of Fe\(_{3}\)O\(_{4}\)@COOH and Fe\(_{3}\)O\(_{4}\)–MIPs were characterized by TEM. As can be seen from Fig. 3, the obtained Fe\(_{3}\)O\(_{4}\) @COOH NPs possessed a spherical structure with a diameter of about 200 nm. And it was found that the as-prepared Fe\(_{3}\)O\(_{4}\)–MIPs with irregular shape contained two or more Fe\(_{3}\)O\(_{4}\)@COOH NPs after imprinting polymerization (Fig. 4), which provide direct proof of successful preparation of Fe\(_{3}\)O\(_{4}\)@COOH NPs embedded MIPs.

Fig. 3
figure 3

Transmission electron image of Fe\(_{3}\)O\(_{4}\)@COOH

Fig. 4
figure 4

Transmission electron image of Fe\(_{3}\)O\(_{4}\)–MIPs

The magnetic properties of the as-prepared Fe\(_{3}\)O\(_{4}\)@COOH NPs and the Fe\(_{3}\)O\(_{4}\)–MIPs were studied by using a VSM at room temperature. Figure 5 illustrates M–H loop of Fe\(_{3}\)O\(_{4}\)@COOH NPs and Fe\(_{3}\)O\(_{4}\)–MIPs. The MH loops show that as-prepared magnetic particles have a fairly strong magnetization and the saturation magnetization values are about 65.70 emu g\(^{-1}\) for Fe\(_{3}\)O\(_{4}\)@COOH, which implies a strong magnetic response of the magnetic NPs. The magnetic NPs also show a fast response to the applied magnetic field. After dispersing the Fe\(_{3}\)O\(_{4}\)@COOH NPs in water by shaking, vortexing, or sonication, they can be easily attracted within dozens of seconds by placing a small magnet on the side of the vessel. This suggests that the Fe\(_{3}\)O\(_{4}\)@COOH NPs possess excellent magnetic response and redispersibility, which is very useful for their application. The saturation magnetization values for Fe\(_{3}\)O\(_{4}\)–MIPs was 10.80  emu g\(^{-1}\), lower than Fe\(_{3}\)O\(_{4}\)@COOH. The decrease in magnetic saturation of Fe\(_{3}\)O\(_{4}\)–MIPs may be attributed to the coated imprinting shells on the surface of the magnetic NPs. Notably, from the hysteresis loops it can be seen that there was no remanence and coercivity, which demonstrates that both were superparamagnetic and enable them to be used for separation and enrichment of template proteins.

Fig. 5
figure 5

VSM of Fe\(_{3}\)O\(_{4}\)@COOH (A) and Fe\(_{3}\)O\(_{4}\)–MIPs (B)

Binding properties of magnetic imprinted polymers

Binding kinetics

The binding kinetics of Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs were studied (Fig. 6), to reveal the relationship of the binding capacity of MIPs (NIPs) and the adsorption equilibrium time.

Fig. 6
figure 6

Binding kinetics of Fe\(_{3}\)O\(_{4}\)–MIPs (A) and Fe\(_{3}\)O\(_{4}\)–NIPs (B)

It is clearly shown in Fig. 6 that the binding capacity of MIPs (NIPs) increases at the first 20 min and then an adsorption equilibrium is achieved after 30 min. At the beginning of binding kinetics, a large amount of empty recognition cavities are available in the Fe\(_{3}\)O\(_{4}\)–MIPs, which enable target protein easily to be adsorbed with less resistance. With the growth of time, more and more imprinted cavities were occupied, space steric hindrance became bigger, and the target protein diffused into the empty imprinted cavities became slow. Finally the imprinted cavities were fully occupied, and the adsorption reached equilibrium. Compared with some of previous imprinting work for Lyz binding [26, 28, 31, 46, 47], the adsorption equilibrium time of Fe\(_{3}\)O\(_{4}\)–MIPs for Lyz in this work was short, indicating that good mass transport is got and drawbacks of traditional bulk polymerization is compromised.

Fe\(_{3}\)O\(_{4}\)–NIPs reached a adsorption equilibrium at an very quick speed—just 10 min. But the adsorption capacity is much smaller than that of Fe\(_{3}\)O\(_{4}\)–MIPs. The adsorption amount of Fe\(_{3}\)O\(_{4}\)–MIPs is 8.86 times more than that of Fe\(_{3}\)O\(_{4}\)–NIPs, with the IF for binding Lyz to be 8.86, which is remarkably increased in comparison with previously reported [25] (IF 1.55) and [26] (IF 3.67), and also better than recently reported [47] (IF 7.6) and [46] (IF 8.4).

To further analyze the adsorption kinetics, the pseudo-first-order and second-order kinetic model were applied to fit the kinetic data [50].

The pseudo-first-order kinetic model can be expressed as follows:

$$ {\mathrm{ln}}(Q_{\rm e} -Q_{t}) = {\mathrm{ln}}(Q_{\rm e}) -k_{1}t $$
(4)

The pseudo-second-order kinetic model can be expressed as follows:

$$ \frac{t}{Q_{t}} = \frac{1}{k_{2}Q_{\rm e}^{2}} + \frac{t}{Q_{\rm e}} = \frac{1}{v_{0}} + \frac{t}{Q_{\rm e}} $$
(5)

where \(Q_{\rm e}\) and \(Q_{t}\) (mg g−1) are the adsorption capacity and the adsorption amount at the equilibrium and the time t (min), respectively. \(Q_{\rm e}\)(cal) values calculated from the intercept of plot ln\((Q_{\rm e} - Q_{t}\)) versus t, and the slope of \(t/Q_{t}\) versus t are defined as theoretical \(Q_{\rm e}\)(cal) value of pseudo-first-order and pseudo-second-order model, respectively.

\(k_{1}\) (min\(^{-1}\)) and \(k_{2}\) (mg g\(^{-1}\) min\(^{-1}\)) are pseudo-first-order and pseudo-second-order rate constants of adsorption, respectively. And \(v_{0}\) (mg g\(^{-1}\) min\(^{-1}\)) represents the initial adsorption rate for pseudo-second-order kinetic model.

Pseudo-first-order model is rendered the rate of occupation of the adsorption sites to be proportional to the number of unoccupied sites; pseudo-second-order kinetic model is assumed the chemical reaction mechanisms, and that the adsorption rate is controlled by chemical adsorption through sharing or exchange of electrons between the adsorbrate and adsorbent [50]. Parameters of two kinetic models are given in Table 1. The best-fit model was selected based on both squared linear regression correlation coefficient (r) and the theoretical \(Q_{\rm e}\)(cal) value. For the adsorption of Lyz onto Fe\(_{3}\)O\(_{4}\)–MIPs, the pseudo-second-order rate equation agreed well with the data with \(r = 0.99\). And the theoretical \(Q_{\rm e}\)(cal) value were closer to the experimental \(Q_{\rm e}\)(exp). Thus, the adsorption process was a chemical-process. As indicated in Table 1, Lyz adsorption onto Fe\(_{3}\)O\(_{4}\)–NIPs belonged to the pseudo-first-order kinetic model.

As shown in Table 1, the MIPs adsorption data were well fitted by the pseudo-second-order kinetic model, indicating that the rate-limiting step was controlled by chemical adsorption and the adsorption capacity was proportional to the number of active binding sites in MIPs. The NIPs adsorption data were were fitted well by the pseudo-first-order kinetic model.

Binding isotherms

An adsorption isotherm is a measure of the relationship between the equilibrium concentrations of bound and free template over a certain concentration range and is readily generated from equilibrium batch rebinding studies. The binding isotherms of protein Lyz to Fe\(_{3}\)O\(_{4}\)–MIPs and control Fe\(_{3}\)O\(_{4}\)–NIPs NPs were determined at different initial concentrations and the results are shown in Fig. 7.

Fig. 7
figure 7

Binding isotherm of Fe\(_{3}\)O\(_{4}\)–MIPs (A) and Fe\(_{3}\)O\(_{4}\)–NIPs (B)

It can be seen that the amounts of protein adsorbed onto the imprinted or non-imprinted polymers increased when the concentration of the protein solutions increased. The amount of protein Lyz bound to the Fe\(_{3}\)O\(_{4}\)–MIPs was increased quickly along with the increase of initial protein concentration. And the amount of Lyz bound to Fe\(_{3}\)O\(_{4}\)–MIPs was dramatically higher than that of Fe\(_{3}\)O\(_{4}\)–NIPs at the same initial concentration. The results suggested that the recognition cavities in Fe\(_{3}\)O\(_{4}\)–MIPs had better chemical and steric matching with the template protein. On the contrary, Fe\(_{3}\)O\(_{4}\)–NIPs had no specific binding cavities; thus, the non-specific adsorption was dominant and a lower binding affinity is presented. Therefore, the introduction of Fe\(_{3}\)O\(_{4}\)@COOH for Fe\(_{3}\)O\(_{4}\)–MIPs were expected not only to improve the binding capacity, but also to provide excellent accessibility to target molecules.

Binding properties can be calculated from the binding isotherm by fitting the adsorption isotherm to specific binding models [51]. Langmuir and Freundlich isotherm models are widely used to describe experimental data of binding istherms, which can be respectively expressed as follows:

$$ \frac{C_{\rm e}}{Q} = \frac{1}{Q_{\mathrm{max}}K_{L}} + \frac{C_{\rm e}}{Q_{\mathrm{max}}} $$
(6)
$$ log\ Q = m\ {\mathrm{log}}\ C_{\rm e} + {\mathrm{log}}\ K_{F} $$
(7)

where Q (mg g\(^{-1}\)) is the amount of Lyz bound to Fe\(_{3}\)O\(_{4}\)–MIPs at equilibrium, \(Q_{\rm max}\) (mg g\(^{-1}\)) is the apparent maximum adsorption capacity, \(C_{\rm e}\) (mg mL\(^{-1}\)) is the free analytical concentration at equilibrium, \(K_{L}\) (mL mg\(^{-1}\)) is the Langmuir constant related to the affinity of binding sites, \(K_{F}\) (mg g\(^{-1}\)) and m are the Freundlich constants which represent the adsorption capacity and heterogeneity of the system. The value of \(K_{L}\), Q\(_{\rm max}\) and m, \(K_{F}\) can be calculated from the slope and intercept of the linear plot in \(C_{\rm e}/Q\) versus \(C_{\rm e}\) and log \(\ Q\) versus log \(\ C_{\rm e}\), respectively.

Langmuir isotherm model is basically used for monolayer adsorption onto a surface with a homogeneous system, while Freundlich isotherm model is suitable for multilayer adsorption of heterogeneous system and not restricted to the formation of the monolayer. The results are given in Table 1.

Table 1 Equations and parameters of binding kinetics and isotherms of Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs

By comparison of r in Table 1, the isotherm models for Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs were better fitted with Langmuir and Freundlich isotherm, respectively. The maximum amount of adsorption (95.3271 mg g−1) obtained from experimental results is also close to the apparent maximum adsorption capacity (99.4091 mg g−1) calculated by Langmuir isotherm model. m value for Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs both were not high. This could be because the as-prepared Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs particles are of irregular form.

The saturation binding data were further processed with the Scatchard equation to estimate the binding properties of the Fe\(_{3}\)O\(_{4}\)–MIPs. The scatchard equation used for this purpose is as follows:

$$ \frac{Q_{\rm e}}{C_{\rm e}} = \frac{(Q_{\mathrm{max}}-Q_{\rm e})}{K_{d}} $$
(8)

where \(Q_{\rm e}\) is the amount of Lyz bound to Fe\(_{3}\)O\(_{4}\)–MIPs at equilibrium, \(Q_{\mathrm{max}}\) is the apparent maximum adsorption capacity, \(C_{\rm e}\) is the free analytical concentration at equilibrium and \(K_{d}\) is the dissociation constant. The values of \(K_{d}\) and \(Q_{\mathrm{max}}\) could be calculated from the slope and intercept of the linear plot of \(Q_{\rm e}/C_{\rm e}\) versus \(Q_{\rm e}\). Scatchard analysis for Fe\(_{3}\)O\(_{4}\)–MIPs was performed and the Scatchard plots were found to be consisted of two distinct linear sections with different slopes (Fig. 8).

Fig. 8
figure 8

Scatchard plot of Fe\(_{3}\)O\(_{4}\)–MIPs

This observation indicated that two kinds of binding sites were populated on the imprinted particles. The linear regression equations for the linear regions were \(Q_{\rm e}/C_{\rm e} = 185.7633 - 2.0141 Q_{\rm e}\) (r = 0.94) and \(Q_{\rm e}/C_{\rm e} = 54.80531 - 0.37699 Q_{\rm e}\) (r = 0.99). From the slope and the intercept of the straight line obtained, the values of \(K_{d}\) and \(Q_{\rm max}\) were 2.014123 mg L\(^{-1}\), 92.23035 mg g\(^{-1}\) and 0.3769887 mg L\(^{-1}\), 145.3765 mg g\(^{-1}\), respectively.

With some comparable parameters from literature, further comparisons were made as shown in Table 2, which displays some advantages in aspects of imprinting effects and the presented method in this paper shows an encouraging result.

Table 2 Comparison of protein imprinting with different preparation methods

Binding selectivity

In order to verify that the Fe\(_{3}\)O\(_{4}\)–MIPs are selective to Lyz (M\(_{W}\) 14.4 kDa, pI 11.2), BSA (M\(_{W}\) 68 kDa, pI 4.7), BHb (M\(_{W}\) 64.5 kDa, pI 7.1) and OVA (M\(_{W}\) 45 kDa, pI 4.6) were selected as the comparative substrates. These proteins have different molecular mass and isoelectric points (pI). The experimental results are shown in Fig. 9 and Table 3, which clearly show that the amount of Lyz adsorbed onto the imprinted Fe\(_{3}\)O\(_{4}\)–MIPs was more than those of the other proteins and 8.86 times more than that of Lyz adsorbed onto the blank Fe\(_{3}\)O\(_{4}\)–NIPs.

Fig. 9
figure 9

Binding selectivity of Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs

Table 3 Binding capacity, imprinting factors, and selectivity coefficients of Lyz, BSA, OVA, and BHb for Fe\(_{3}\)O\(_{4}\)–MIPs and Fe\(_{3}\)O\(_{4}\)–NIPs

The high adsorption ability of the Fe\(_{3}\)O\(_{4}\)–MIPs for the template protein Lyz shows that the differences in the binding amounts stem mainly from specific binding sites on the imprinted cavities. The specific binding involves two roles, including multiple weak interactions provided by the amino (APTES), alkyl (TEOS), and carboxyl (Fe\(_{3}\)O\(_{4}\)@COOH) group and the synergistic effects of shape complementarity. Fe\(_{3}\)O\(_{4}\)–MIPs have not only stronger binding for template proteins but also steric effects hindering comparative proteins from being adsorbed. In the case of BSA and OVA, they are negatively charged at pH 7.0, and both the molecular volumes were larger than that of Lyz, so they had less chance to entirely slip into the imprinting cavities created by Lyz and to interact with the functional groups. As for the BHb, it can be adsorbed onto the surface of Fe\(_{3}\)O\(_{4}\)–MIPs due to their relatively neutral charge at pH 7.0, but imprinted sites on the Fe\(_{3}\)O\(_{4}\)–MIPs are not beneficial for adsorption. The results demonstrated that Fe\(_{3}\)O\(_{4}\)–MIPs have specific recognition sites which are capable of selectively binding Lyz.

Competitive binding test

The binding specificity of Fe\(_{3}\)O\(_{4}\)–MIPs was further evaluated by separating Lyz from standard protein mixtures.

First, binary protein mixture solution with Lyz and BSA were employed for competitive binding (Fig. 10). As seen in Fig. 10, most of BSA remained in the solution but about 40 % of the Lyz were separated after adsorption by the Fe\(_{3}\)O\(_{4}\)–MIPs, while the remaining amount of Lyz and BSA in the protein solution after adsorption by the Fe\(_{3}\)O\(_{4}\)–NIPs was close. It is to say that imprinted cavities are formed successfully and can selectively separate Lyz from a binary mixture of proteins.

Fig. 10
figure 10

Competitive binding of Lyz and BSA with Fe\(_{3}\)O\(_{4}\)–MIPs Fe\(_{3}\)O\(_{4}\)–NIPs

Second, ternary protein mixture solution was used for competitive binding test, with Lyz as target protein, BSA and OVA, two types of protein with different molecular weights, as the competitors(Fig. 11). It is seen in Fig. 11 that after Fe\(_{3}\)O\(_{4}\)–MIPs adsorption, more Lyz was separated from the protein solution, BSA was well kept in the protein solution, and OVA was relatively absorbed, while Fe\(_{3}\)O\(_{4}\)–NIPs absorbed those three proteins with low amounts. The adsorption capacities for the two competing proteins were lower as compared to Lyz mainly due to the steric hindrance. This is a proof of the successful formation of imprinted cavities and the importance of shape memory effect on Fe\(_{3}\)O\(_{4}\)–MIPs. By contrast, the three proteins in mixture solution were slightly adsorbed by Fe\(_{3}\)O\(_{4}\)–NIPs and there was not obvious discrimination among those proteins. Fe\(_{3}\)O\(_{4}\)–NIPs did not have high and selective adsorption ability for three proteins. It was obvious that the Fe\(_{3}\)O\(_{4}\)–MIPs recognized the template Lyz preferentially from a ternary mixture of proteins, which further demonstrated the binding specification.

Fig. 11
figure 11

Competitive binding of Lyz, BSA and OVA with Fe\(_{3}\)O\(_{4}\)–MIPs Fe\(_{3}\)O\(_{4}\)–NIPs

This result shows that Fe\(_{3}\)O\(_{4}\)–MIPs may be applicable to selectively separate Lyz from a mixture of proteins.

Real sample analysis

To further demonstrate the applicability and separation effectiveness of Fe\(_{3}\)O\(_{4}\)–MIPs in real sample, chicken egg white, in which the concentration of Lyz is about 3.5 % from all proteins was used as a Lyz source [31]. Egg white sample was separated from chicken egg and diluted 20-fold with 1/15 M PB buffer and centrifuged with 10,000 rpm for 20 min. Then Fe\(_{3}\)O\(_{4}\)–MIPs was added into the egg white sample to absorb target protein and later quantification followed.

SDS-PAGE analysis was first employed for real sample test (Fig. 12). It is seen from Fig. 12 that, as compared with original diluted chicken egg white sample (Lane 1), the Lyz was almost completely removed from the chicken egg white sample after absorption by Fe\(_{3}\)O\(_{4}\)–MIPs while the change in other proteins was insignificant (Lane 2). The elution of Lyz also proved the successfully separation (Lane 3).

Fig. 12
figure 12

SDS-PAGE analysis of Lyz adsorption with Fe\(_{3}\)O\(_{4}\)–MIPs

Next, HPLC was employed for further quantification. The chromatograms of a 20-fold diluted egg white and are shown in Fig. 13. When Lyz in 20-fold diluted egg white was separated by Fe\(_{3}\)O\(_{4}\)@Lyz–MIP using an external magnetic field, the chromatogram of supernatant showed that it (Lyz peak) disappeared, which showed a very good selectivity for target Lyz by Fe\(_{3}\)O\(_{4}\)–MIPs.

Fig. 13
figure 13

HPLC analysis of Lyz adsorption with Fe\(_{3}\)O\(_{4}\)–MIPs

As revealed in the real sample competition experiments, the Fe\(_{3}\)O\(_{4}\)–MIPs validated high selectivity toward the template protein, which suggested its potential in practical applications.

Conclusions

Using carboxyl-modified magnetic Fe\(_{3}\)O\(_{4}\)@COOH nano-particles (NPs) as co-functional monomer and magnetic response source, bulk MIPs were prepared with a sol–gel process for the recognition and enrichment of protein. The as-prepared Fe\(_{3}\)O\(_{4}\)–MIPs showed fast kinetics, high capacity, and favorable selectivity. Successful application in the selective separation of Lyz from standard protein mixture and real egg white sample suggested that the Fe\(_{3}\)O\(_{4}\)–MIPs could be an alternative solution for selectively capturing a protein in a complex matrix.