Introduction

In recent years, stimuli-responsive membranes have received much attention owing to their many potential applications in drug delivery systems, chemical separations, water treatment, chemical sensing, bioreactors, etc. Stimuli-responsive membranes change their physical properties in response to changes in environmental conditions, such as pH, solution ionic strength, temperature, concentration of specific chemical species, electric and magnetic field [13]. Changes in the physical properties of the membrane in response to changed environmental conditions can lead to changes in the mass transfer and interfacial properties of the membrane. Among the stimuli that can be used to control the response of the system, temperature and pH-responsive factors have drawn much attention. In general, responsive membranes are formed from stimuli-sensitive materials (polymers or copolymers) or by modification of existing membranes by various chemical/physical processes to incorporate stimuli-responsive polymers [1, 2]. An example of a pH-sensitive polymer is the natural polymer chitosan.

Chitosan (Ch) is a linear copolymer of β-(1 → 4)-linked 2-acetamido-2-deoxy-β-d-glucopyranose and 2-amino-2-deoxy-β-d-glucopyranose (Fig. 1). It is obtained by deacetylation of chitin, a polymer widely distributed in nature, including exoskeletons of crustaceans, insects and certain fungi [4]. Owing to chitosan’s excellent properties, such as biocompatibility, biodegradability, hydrophilicity, non-toxicity, cationicity, ease of modification, ability to form of gels, films, nanoparticles, microparticles and beads, affinity to metals, protein and dyes, etc., it has found practical applications in medicine and pharmacy, as a food additive, antimicrobial agent, in environmental remediation and in different industrial areas. Moreover, chitosan is a polymeric material with high hydrophilicity, favourable permselectivity of water, excellent chemical-resistant properties [4]. This desirable combination of properties of Ch and its availability makes this polymer an attractive material for preparation of membranes for various uses, namely for pervaporation, separation of gaseous mixtures, separation and recovery of pollutants from wastewater, adsorption/separation of amino acids and proteins and for drug delivery [5].

Fig. 1
figure 1

Schematic representation of chemical structure of non-cross-linked and cross-linked chitosan membranes

The main disadvantage of hydrogels, including chitosan hydrogel membranes, is their poor mechanical properties after swelling. To improve mechanical and chemical resistance of chitosan membranes many studies have focused on the modification of chitosan by different methods, including blending, multilayer casting, addition of inorganic reinforcements and cross-linking [5]. In this work we have used the cross-linking reaction of chitosan with glutaraldehyde (GA) and sulfuric acid (SA) to obtain doubly cross-linked chitosan hydrogel (Ch/GA/SA) membrane having improved mechanical and chemical stability in acidic media and designed for industrial applications.

The purpose of this work was to characterize both the swelling kinetics and the mechanism of water diffusion into non-cross-linked and cross-linked chitosan membranes in buffer solutions of different pH. Swelling characteristics and diffusional behaviour of hydrogels are the key to their usefulness in biomedical, pharmaceutical and industrial applications. For example, knowledge about swelling kinetics is important for designing controlled-released devices for drugs and agriculture pesticides based on swellable polymer matrices and for predicting the release rates of the active ingredients.

Experimental

Materials

Commercially available chitosan from crab shells of medium molecular weight and glutaraldehyde (25 wt% solution in water) of analytical grade were purchased from Sigma-Aldrich (Germany). Acetic acid, sulfuric acid and sodium hydroxide were analytical grade and were purchased from POCh (Poland). Reagents for preparation of buffer solutions of constant ionic strength (hydrochloric acid, acetic acid, sodium acetate, sodium chloride) and Tris buffer of analytical grade were purchased from POCh (Poland) or Sigma-Aldrich (Germany). Potassium bromide for spectroscopy was purchased from Merck (Germany).

Chitosan characterization

The degree of deacetylation (DDA) of chitosan determined by potentiometric titration was 75.72 ± 3.82 %. The viscosity average molecular weight (M v) of chitosan solutions determined by viscosity analysis was 730 ± 16 kDa. The details of DDA and M v determinations are described elsewhere [6].

Preparation of chitosan membranes

Non-cross-linked (Ch) and GA-cross-linked chitosan (Ch/GA) membranes were prepared by solution casting and solvent evaporation technique. To obtain non-cross-linked chitosan membranes 1 % (w/v) chitosan solution in 2 % (w/v) acetic acid was prepared. The polymer solution was then filtered, left overnight, degassed, cast as a film on a clean glass plate and evaporated to dryness at room temperature. The resultant membrane was removed from the glass plate, immersed in 2 M sodium hydroxide solution for 5 min to remove the residual acid, thoroughly washed with deionised water and dried at 37 °C. To obtain GA-cross-linked chitosan membrane the 0.25 wt% glutaraldehyde solution was added dropwise over 5 min to chitosan solution under gentle stirring and the mixture was left for about 1 h to prevent any air bubble formation. Then the solution was cast as a film on a clean glass plate and evaporated to dryness at 37 °C. The content of glutaraldehyde in the casting solution was 2.5 wt%. Finally, the prepared membrane was washed repeatedly with doubly distilled water, immersed in 2 M sodium hydroxide solution for 5 min, washed repeatedly with water and dried at 37 °C. Doubly cross-linked chitosan membrane, i.e. chitosan membrane cross-linked with glutaraldehyde and sulfuric acid (Ch/GA/SA), was prepared by immersing pure Ch/GA membrane in 0.5 M sulfuric acid solution for 24 h, washing thoroughly with doubly distilled water and drying. Before spectral and swelling measurements, non-cross-linked and cross-linked membranes were thoroughly dried under vacuum at 60 °C for 24 h.

Chitosan membrane characterization

All membranes were characterized by FTIR spectroscopy, wide-angle X-ray diffraction (WAXD), scanning electron microscopy (SEM), atomic force microscopy (AFM), thermogravimetric analysis (TGA), differential scanning calorimetry (DSC) and elemental analysis.

FTIR spectra of non-cross-linked and cross-linked membranes in KBr disc form were recorded on a Perkin-Elmer 2000 FTIR spectrophotometer from 4000 to 400 cm−1 with a resolution 4 cm−1 and 100 scans. The polymer samples were ground into a fine powder using liquid nitrogen and thoroughly dried under vacuum at 60 °C before milling with anhydrous KBr.

A Philips X-Pert Pro Systems X-ray diffractometer was used to study the solid-state morphology of the non-cross-linked and cross-linked chitosan membranes. X-ray diffraction was performed on powdered samples by exposing them to CuKα radiation and scanning from 2θ = 4° to 40° with a step size of 0.02°.

TGA was carried out using an SDT 2960 Simultaneous TGA-DTA Thermal Analyzer System (TA Instruments, USA). All measurements were performed with polymer samples (about 5 mg) in aluminium pans under a dynamic nitrogen atmosphere, in the temperature range from room temperature to 500 °C, at a scanning rate of 10 °C/min and gas flow of 100 mL/min. For each degradation step the temperature at which the degradation starts, temperature at maximum process rate (T max), temperature at which the degradation is finished and percentage weight loss (wt%) were calculated from DTG curves.

DSC analysis was performed with a differential scanning calorimeter (Polymer Laboratories Ltd., Epsom, UK). Thoroughly dried membrane samples (about 15 mg) were weighed in an aluminium pan designed for volatile samples and sealed. They were heated from room temperature to 400 °C at a heating rate of 10 °C/min under constant purging of nitrogen at 4 mL/min. An empty aluminium cup was used as a reference.

The morphology of each thoroughly dried membrane surface was studied by SEM using a LEO1430 VP scanning electron microscope (Leo Electron Microscopy Ltd., England). Prior to the microscopy studies, the surface was sputter coated with gold.

Surface topography of non-cross-linked and cross-linked chitosan membranes was examined by an AFM MultiMode Scanning Probe Microscope Nanoscope IIIa (Digital Instruments Veeco Metrology Group, Santa Barbara, CA) operating in the tapping mode in air, at room temperature. The roughness parameters, such as the root mean square (R q) and the roughness average (R a), were calculated for a scanned area 5 × 5 μm2 using Nanoscope software.

The elemental content of each membrane was characterized using a CHNS Vario EL Analyzer (Elementar Analysesysteme GmbH, Germany).

Swelling measurements

All membrane specimens were thoroughly dried before swelling. Dynamic swelling experiments were performed by immersing dry hydrogel membrane samples in buffer solutions at 37.0 ± 0.1 °C (in a thermostated bath) and measuring their weight gain as a function of time. At certain intervals the membrane samples were removed, blotted with filter paper to eliminate excess solvent from the surface and weighed. The measurements were continued until a constant weight was reached for each sample.

The swelling ratio (S) at different times was expressed as the grams of solvent sorbed per gram of dry membrane and was calculated using Eq. (1):

$$ S=\frac{M_t-{M}_0}{M_0} $$
(1)

where M 0 is the mass of the dry sample and M t is the mass of the swollen sample at time t. The swelling ratio after the hydrogel membrane had swollen to equilibrium in swelling medium (S eq) was calculated using Eq. (2):

$$ {S}_{eq}=\frac{M_{eq}-{M}_0}{M_0} $$
(2)

where M eq is the mass of the swollen membrane sample at equilibrium.

To obtain a mean value of S at any time t and a mean value of S eq all experiments were performed at least three times for each membrane. Standard deviations were less than 5 %.

In swelling experiments different buffered solutions of constant ionic strength were used. These were as follows: hydrochloric acid solutions (pH 1.2, 1.7, 2.2), 10 mM acetic acid/sodium acetate solutions (pH 3.6, 4.4 and 5.6) and 10 mM Tris buffered solutions (pH 6.5, 7.4, 8.5 and 9.5). The ionic strength of these buffer solutions was carefully adjusted to 0.145 M by adding appropriate amounts of sodium chloride.

Results and discussion

Structural characterization of hydrogel membranes by FTIR spectroscopy, X-ray spectroscopy and elemental analysis

FTIR spectra of non-cross-linked and cross-linked chitosan membranes are presented in Fig. 2. Both singly and doubly cross-linked chitosan membranes show spectra that are different from those of non-cross-linked chitosan membrane. The observed changes refer first of all to the 3500–3150 and 1800–1550 cm−1 regions. After adding cross-linking agents (GA or GA and SA) there are changes in the intensity and width of the band at about 3430 cm−1 (O–H and N–H stretching vibrations of functional groups engaged in hydrogen bonds [7]), which seems to indicate that some hydrogen bonds in the chitosan structure are destroyed and new hydrogen bonds between Ch and GA or Ch and SA are formed. Moreover, after the addition of GA, absorption bands of chitosan at 1656 cm−1 (C=O stretching in amide group, amide I vibration), 1598 cm−1 (–NH2 bending in non-acetylated 2-aminoglucose primary amine) and 1560 cm−1 (N–H bending in amide group, amide II vibration [8]) change their positions. The peak at 1656 cm−1 shifts to 1648 cm−1 and in the region of about 1600–1560 cm−1 a broad band with submaxima at about 1595 and 1566 cm−1 is observed. As we have discussed earlier [6], the band at 1648 cm−1 is most probably composed of the amide I band of chitosan and the C=N stretching band of a Schiff base. Schiff bases, depending on the compound, absorb in the range 1620–1660 cm−1 [9]. The lack of a band at ca. 1715 cm−1, related to the free aldehyde group [7], indicates that under the experimental conditions GA completely reacted with chitosan and imines (Schiff bases) were formed. The change of the chitosan membrane colour from transparent to yellow also confirms the formation of cross-links between Ch and GA. Two main bands that can be seen in the FTIR spectrum of Ch/GA/SA (Fig. 2) in the frequency range of 1650–1500 cm−1 (i.e. at 1641 and 1538 cm−1) derive mainly from the asymmetric and symmetric N–H deformation vibrations in protonated amines, but the initial amide I, amide II and imine bands are possibly overlapped by these vibrations [7]. The new band observed at 617 cm−1 in the FTIR spectrum of Ch/GA/SA can be attributed to the S–O bending vibration in SO4 2− ions [7]. The FTIR analysis of Ch/GA and Ch/GA/SA specimens confirms that cross-linking takes place by the reaction of amine groups of chitosan with aldehyde groups of glutaraldehyde and/or amine groups of chitosan and sulfate groups of sulfuric acid, as presented in Fig. 1.

Fig. 2
figure 2

FTIR spectra of Ch, Ch/GA and Ch/GA/SA membranes

We have drawn conclusions on the degree of ionic cross-linking and the content of ionisable groups in Ch/GA/SA membranes from elemental analysis. The results of elemental analysis of Ch, Ch/GA and Ch/GA/SA membranes are listed in Table 1. The table presents data for Ch/GA membrane (of average thickness 50 ± 3 μm) immersed in sulfuric acid solution for different times. It can be observed that both the sulfur content (and thus sulfate group content), as well as the molar ratio of sulfur to nitrogen, increased very quickly during the first 10 min of acid treatment. For longer periods of time these values increased with time very slowly. The molar ratio of sulfur to nitrogen in Ch/GA/SA (60 min), Ch/GA/SA (120 min) and Ch/GA/SA (24 h) was practically the same. Thus, the degree of ionic cross-linking of those membranes was also very similar. In further experiments only the Ch/GA/SA (24 h) membrane was used.

Table 1 Results of elemental analysis of Ch, Ch/GA and Ch/GA/SA membranes

X-ray spectra of non-cross-linked and cross-linked membranes (Fig. 3) indicate that the crystallinity of the chitosan decreased after its cross-linking with glutaraldehyde or glutaraldehyde and sulfuric acid, but cross-linked membranes retained their semicrystalline morphology. The X-ray pattern of Ch shows three major crystalline peaks: the two weaker peaks at 2θ ≈ 10° and 2θ ≈ 15° and the strongest one at 2θ ≈ 20°, characteristic for the crystalline forms I, II and anhydrous form [10]. In the case of cross-linked membranes these crystalline peaks, mainly the peak at 2θ ≈ 20°, became wider and weaker.

Fig. 3
figure 3

Wide-angle X-ray diffraction spectra of Ch, Ch/GA and Ch/GA/SA membranes

Surface morphology of hydrogel membranes

SEM images of Ch, Ch/GA and Ch/GA/SA membranes showed that their surface morphology before and after cross-linking was similar (Fig. 4a). The polymer top layer had a smooth, homogeneous and flat surface without any visible pores. Thus, all studied membranes can be characterized as dense ones.

Fig. 4
figure 4

SEM (a) and AFM (b) images of Ch, Ch/GA and Ch/GA/SA membranes

Three-dimensional AFM images of non-cross-linked and cross-linked chitosan membranes taken in a scan area of 5 × 5 μm2, are shown in Fig. 4b. The results relating to the roughness analysis are also presented. Non-cross-linked chitosan membrane has an R q value of 2.08 ± 0.63 nm and R a value of 1.65 ± 0.61 nm, indicating roughness at the nanometer scale. The cross-linked chitosan membranes presented higher roughness values as compared to non-cross-linked ones.

Thermal properties of hydrogel membranes

Figure 5a shows DTG curves for non-cross-linked and cross-linked chitosan membranes. The non-cross-linked chitosan and GA-cross-linked chitosan membranes show a two-stage decomposition process, but the doubly cross-linked chitosan membrane shows a three-stage thermal degradation. Similar results were obtained earlier for chitosan and cross-linked chitosan [1113]. For all polymer membranes the first stage starts at about 50 °C and continues up to 180 °C and is accompanied by a weight loss ranging from 1 to 4 %. This stage can be assigned to the evaporation of the residual, physically adsorbed water present in the polymer samples, which could not be removed completely by drying [11, 12], The content of this water is a function of the morphology, crystallinity and hydrophilicity of the polymers.

Fig. 5
figure 5

DTG (a) and DSC (b) curves for Ch, Ch/GA and Ch/GA/SA membranes

The second and third stages of polymer degradation correspond to the thermal decomposition of chitosan or singly and doubly cross-linked chitosan, vaporization and elimination of volatile products. For pure chitosan the second stage starts at 240 °C, reaches a maximum at 301 °C and ends at 400 °C. In this decomposition stage the weight loss of chitosan reaches 49 %. The predominant stage of thermal degradation of Ch/GA membrane appears at 197–400 °C range (with T max = 279 °C), during which 43 % weight loss is observed. The thermal degradation process of Ch/GA/SA membrane seems to be more complex. In the DTG curve in the temperature range 180–400 °C, two peaks (with T max = 206  and 263 °C) are observed, which can be related to the second and third stage of thermal degradation, respectively. In the range of 180–238 °C the mass loss of chitosan reaches 24 %, whereas in the range of 238–400 °C a 28 % drop of membrane mass is observed. Three thermal decomposition steps were observed earlier by Osifo and Masala for chitosan membranes modified by cross-linking with sulfuric acid [13].

Thermal degradation of chitosan is a complex reaction. Different decomposition products were observed by TGA coupled with FTIR spectroscopy, mass spectrometry and chromatography [12, 14]. According to literature data pyrolysis of chitosan starts by a random splitting of the glycosidic bonds, followed by a further decomposition to acetic, butyric and lower fatty acids [11, 12]. It can be supposed that in the observed steps of thermal degradation of cross-linked membranes there are liberated molecular degradation products both of chitosan and cross-linking agents.

DTG results show that the cross-linked samples start to decompose at lower temperature. Similar results were reported earlier by Neto et al. [11] and Yang and Su [15] for chitosan cross-linked by GA and by Mukoma et al. [16] for chitosan cross-linked by sulfuric acid. Considering the temperature at which thermal degradation starts as a criterion of the thermal stability of the membrane, the thermal stability decreases according to the order Ch > Ch/GA > Ch/GA/SA. According to Trimukhe and Varma [17] both chemical modification and metal complexation lead to a decrease of thermal stability of chitosan.

DSC thermograms of Ch, Ch/GA and Ch/GA/SA membranes are shown in Fig. 5b. The major thermal processes occurred between 50 and 350 °C. The broad endothermic peak between 50 and 200 °C can be attributed to the evaporation of water bonded to the chitosan chains and functional groups of cross-linking agents by different kinds of physical bonds (hydrogen bonds, electrostatic interactions) [18, 19]. Chitosan membrane underwent exothermic decomposition at higher temperatures. The exothermic peak appeared at 301, 218 and 201 °C for Ch, Ch/GA and Ch/GA/SA membrane, respectively. This peak corresponds to degradation of chitosan [18, 19]. In the case of cross-linked membranes DSC thermograms are more complex, because additional exothermic and endothermic peaks are observed at temperatures above 200 °C. A similar phenomenon was observed earlier by others [14, 19, 20].

DSC results indicate that the thermal stability of cross-linked membranes is lower than that of non-cross-linked ones and thus confirm the TGA results presented above. Our DSC results correspond with literature data for chitosan cross-linked by glutaraldehyde or chitosan cross-linked by sulfuric acid [15, 20]. For cross-linked membranes DSC thermograms are more complex. Additional exotherms appeared at higher temperatures.

Swelling kinetics of hydrogel membranes

Chitosan membrane swells when it is brought into contact with a buffered aqueous solution. Swelling of the polymer membrane continues until the forces due to swelling of the polymer balance the osmotic pressure, driving the solvent into the swollen polymer. The swelling process of hydrogels is a complicated phenomenon and involves three successive steps: (i) the diffusion of water molecules into the polymer network, (ii) the relaxation of hydrated polymer chains and (iii) the expansion of the polymer network into the surrounding aqueous solution [21]. Figures 6 and 7 present the dynamic swelling data for non-cross-linked chitosan membrane and cross-linked chitosan membranes in buffered aqueous solutions of constant ionic strength (0.145 M at 37 °C). Because the non-cross-linked chitosan membrane swelled and disintegrated quickly in acidic solutions, it was not possible to study the kinetics of water uptake and the mechanism of water transport into this membrane at pH < 6.5. Each point in Figs. 6 and 7 is an average of three separate experiments.

Fig. 6
figure 6

Swelling curves of Ch, Ch/GA and Ch/GA/SA membranes in selected buffer solutions (T = 37 °C, I = 0.145 M)

Fig. 7
figure 7

Swelling curves of Ch/GA/SA membrane in all studied buffer solutions (T = 37 °C, I = 0.145 M)

The swelling isotherms for Ch (in neutral and basic media), Ch/GA and Ch/GA/SA membranes are similar. For each buffer solution the swelling ratio increases with time until a certain point, when it becomes constant, i.e. the equilibrium state is reached. At the beginning the swelling is very fast. Figure 8 shows the equilibrium swelling ratio S eq as a function of pH for Ch, Ch/GA and Ch/GA/SA. All chitosan membranes exhibite a pH-responsive swelling. Values of S eq decrease with increasing pH. Moreover, the results clearly reveal that all membranes undergo drastic mass and/or volume change in the definite pH range.

Fig. 8
figure 8

Equilibrium swelling ratio of Ch, Ch/GA and Ch/GA/SA membranes in buffer solutions of various pH

Non-cross-linked and cross-linked chitosan membranes belong to the class of ionic hydrogel membranes. As discussed earlier by Peppas et al. [22, 23], Berger et al. [24] and Baipai and Singh [25], the equilibrium swelling of ionic hydrogels depends on the network structure, degree of cross-linking, hydrophilicity and ionisation of the functional groups. The swelling behaviour of cross-linked hydrogels also depends on the degree of cross-linking and nature of the cross-linking agent [23, 26]. Swelling of the environmental-sensitive hydrogels can be affected by specific stimuli. Ionic strength and pH affect the swelling of ionic strength- and pH-sensitive hydrogels, respectively [22]. Ch, Ch/GA and Ch/GA/SA hydrogel membranes differ both in their molecular structure (hydrophilic/hydrophobic properties), degree of cross-linking and content of ionisable groups, as well as in supermolecular structure (degree of crystallinity). All membranes were semicrystalline polymers (Fig. 3), but crystallinity of the Ch membrane decreased after cross-linking with glutaraldehyde and sulfuric acid. The lower crystallinity enhances the water molecules’ accessibility. Bearing in mind some differences in molecular and supermolecular structure of non-cross-linked and cross-linked chitosan membranes and all factors affecting the swelling of ionic hydrogels, we could look for some differences in Ch, Ch/GA, Ch/GA/SA swelling behaviour. Degree of ionisation of chitosan strongly depends on the pH of the swelling solutions [4] and the observed drastic mass/volume changes in the definite pH range result from the protonation or deprotonation of amine groups of chitosan units within the definite pH range.

The high degree of swelling in acidic solutions observed for all studied hydrogel membranes (Figs. 6 and 7) can be attributed to the high degree of protonation of amine groups of Ch. Chitosan is a weak polybase with an intrinsic pK a of about 6.5 [27]. Thus, in buffer solution of low pH the most functional amine groups of chitosan are protonated. The electrostatic repulsion between charged chitosan chains leads to expansion of the polymer network, diffusion of buffer inside the gel and swelling. When pH of the solution increases then the degree of ionisation of chitosan decreases and a gel with a more compact structure and low S eq is formed. Thus, the mechanism of pH-sensitive swelling of non-cross-linked and cross-linked chitosan membranes is determined mainly by ionic interactions (electrostatic repulsion) between ionised chitosan chains.

The inflection point of the S-shaped curves of equilibrium water uptake against pH, presented in Fig. 8, can be used to estimate an approximate pK a of the gel. This point lies between pH 5 and 6 for Ch/GA membrane and between pH 6 and 7 for Ch/GA/SA. Values of pK a reported for chitosan range between 6.1 and 7, depending on their degree of deacetylation and molecular weight [28 and literature cited therein], but very often an intrinsic dissociation constant given by Domard and equal to 6.5 is cited [27]. It can be concluded that the incorporation of GA and SA and the formation of a network structure contribute to the observed pK a of the gels. Some differences between pK a of the cross-linked and non-cross-linked anionic gels were observed earlier by Khare and Peppas [29] and Bajpai and Singh [25] and were attributed to the cross-linked structure of the gels.

To characterize the effect of the pH of swelling medium on the kinetics of water uptake of Ch, Ch/GA and Ch/GA/SA membranes, kinetic modelling was conducted on the basis of the Fickian diffusion law and Schott’s second-order kinetic equation.

To determine the type of diffusion of water into the hydrogels (water transport mechanism) we applied the simple and commonly used method, based on the power-law expression [Eq. (3)] given by Peppas et al. [30, 31]:

$$ \frac{M_t}{M_{eq}}=k{t}^n $$
(3)

where M t is the amount of water absorbed at time t, M eq is the amount of water absorbed at equilibrium, k is a characteristic constant dependent on the structure of the polymer network, and n is the exponent that describes the type of diffusion (mode of transport) of the penetrant into the hydrogel. This expression describing both Fickian and non-Fickian transport behaviour of penetrant into polymer can be applied only to the initial stages of swelling, i.e. up to a 60 % increase in the mass of hydrogel (M t /M eq ≤ 0.6) [31].

The phenomenon of water sorption by hydrogels depends on the diffusion of water molecules into the gel matrix and subsequent relaxation of macromolecular chains of the hydrogel [30, 31]. The mechanism of water transport in a swelling hydrogel is greatly affected by many factors, such as equilibrium water content, chemical composition of the hydrogel, swelling rate, etc. [30, 32]. In general, three models are used to describe transport phenomena into polymer networks [3337]. These models, proposed by Alfrey et al. [38], are based on relative rates of penetrant diffusion and polymer chain relaxation:

  1. 1.

    Case I (or Fickian diffusion) in which solvent diffusion rate R diff is slower than the polymer relaxation rate R relax (R diff ≪ R relax).

  2. 2.

    Case II diffusion (or non-Fickian diffusion) in which the solvent diffusion rate is faster than the polymer relaxation rate (R diff ≫ R relax).

  3. 3.

    Case III (or anomalous diffusion, non-Fickian diffusion) which occurs when the solvent diffusion and the polymer relaxation rate are about the same order of magnitude (R diff ≈ R relax).

Fickian diffusion is often observed in polymer networks when the temperature is much above the glass transition temperature of the polymer, T g. When the polymer is in a rubbery state, the polymer chains have a higher mobility that allows easier penetration of the solvent. Therefore, Fickian diffusion is characterized by R diff being much lower than R relax. Non-Fickian diffusion processes are mainly observed in polymer networks when the temperature is below the glass transition temperature of the polymer. At T < T g polymer chains are not sufficiently mobile to permit immediate penetration of the solvent into the polymer core. As presented above, the main difference between cases II and III concerns the solvent diffusion rate.

Equation (3) describes both Fickian and non-Fickian transport behaviour in thin polymer slabs or discs. Parameter n depends on the geometrical shape of the hydrogel matrix: for a planar geometry, the value of n = 0.5 indicates a Fickian diffusion mechanism (case I); n = 1.0, case II transport; and 0.5 < n < 1.0, case III (anomalous or non-Fickian) diffusion mechanism, where both diffusion and polymer relaxation control the overall rate of water uptake [22, 3337]. Occasionally, values of n > 1 and n < 0.5 have been observed, which are regarded as super case II diffusion [22, 3537] and pseudo-Fickian (or less-Fickian) diffusion [35, 36].

To characterize the water transport mechanism the swelling curves were fitted to the following equation:

$$ \log \frac{M_t}{M_{eq}}= \log k+n \log t $$
(4)

Figure 9 shows the typical plots of log(M t /M eq) versus log t for Ch/GA/SA hydrogels in three different buffer solutions. The obtained results exhibit good linear correlations. As presented in Table 2, determination coefficients R 2 are greater than 0.99. Values of the exponent n, which were calculated from the slope of the plots of log(M t /M eq) versus log t, range between 0.81 and 0.99 for Ch membrane, between 0.33 and 0.55 for Ch/GA membrane and between 0.57 and 0.75 for Ch/GA/SA. For all membranes, coefficient n depends on the pH of the buffer solution. The dependence of n on pH is shown in Fig. 10.

Fig. 9
figure 9

Plots of log(M t /M eq) versus log(t) for Ch/GA/SA membrane in buffer solutions of pH 1.2, 7.4 and 8.5

Table 2 Swelling kinetic parameters for Ch, Ch/GA and Ch/GA/SA membranes in buffer solutions of various pH (T = 37 °C, I = 0.145 M)
Fig. 10
figure 10

Effect of pH on the diffusion exponent n for Ch, Ch/GA and Ch/GA/SA membranes

The obtained results indicate that Ch membrane shows a non-Fickian swelling behaviour in all buffer solutions. Thus, both diffusion and polymer relaxation control the overall rate of water uptake. For Ch/GA membrane, parameter n is less than 0.5 in acidic solutions and is close to 0.5 for pH ≥ 6.5, so the diffusion can be considered as less-Fickian or Fickian, respectively. In the case of Ch/GA/SA membrane, values of n are higher than 0.5 in buffer solutions of pH < 6.5, but they are close to 0.5 in solutions of pH ≥ 6.5. This indicates a shift of the water transport mechanism from anomalous to Fickian type, i.e. from relaxation-controlled to diffusion-controlled. The effect of pH on the mechanism of water transport into ionic hydrogels was studied earlier by several researchers [32, 3941]. It was found that the solvent transport mechanism became non-Fickian (more relaxation-controlled) as gel ionisation became prominent. As discussed earlier by Peppas et al. [29, 31, 32], the dynamic swelling behaviour of hydrogels is dependent on the relative contribution of penetrant diffusion and polymer relaxation. In the ionic hydrogels the ionisation of functional groups may control the water diffusion process, thus affecting the relative magnitude of diffusion and relaxation times [29, 42]. An increase in the degree of ionisation results in the electrostatic repulsion between ionised functional groups, leading to chain expansion, which in turn affects macromolecular chain relaxation. Thus, the swelling mechanism becomes non-Fickian (more relaxation-controlled) when the ionisation of hydrogel increases. For anionic hydrogels non-Fickian (anomalous) transport was observed as the pH of the surrounding fluid increased above the pK a [32, 3941].

In the case of chitosan membranes, with decreasing pH of buffer solution the protonation of functional amine groups increases. An increase in the degree of ionisation contributes to the electrostatic repulsion between adjacent NH3 + groups, leading to chain expansion, which in turn affects macromolecular chain relaxation. Therefore the mechanism of swelling of water into cationic hydrogel (chitosan membrane) becomes more relaxation-controlled as pH decreases and/or degree of ionisation increases.

For Ch/GA membrane values of n are less than 0.5 in acidic solutions (pH ≤ 6.5) and are close to 0.5 at pH > 6.5 (Fig. 10). Hence, the overall process can be regarded as less-Fickian or Fickian, respectively. A value of n = 0.5 is characteristic for a perfectly Fickian process where the rate of solvent penetration is the slowest and, hence, is the rate-limiting step. However, when the water penetration rate is much lower then the polymer relaxation rate, the values of n may be lower than 0.5 [36]. In most published reports on the hydrogel swelling, values of n close to 0.5 or over 0.5 are presented. Only a few papers report values of n < 0.5 [25, 4347].

The swelling rates of the Ch, Ch/GA and Ch/GA/SA hydrogel membranes were described with Schott,s second-order swelling kinetics [48]:

$$ \frac{dS}{dt}={k}_S{\left({S}_{eq}-S\right)}^2 $$
(5)

where S eq is the equilibrium water swelling ratio, S is the water swelling ratio at time t, k S is the swelling rate constant, respectively. After definite integration between the limits S = 0 at t = 0 and S = S at t = t and rearrangement, Eq. (5) can be rewritten as follows:

$$ \frac{t}{S}=A\kern0.5em +\kern0.5em Bt $$
(6)

where B = 1/S eq is the reciprocal of the equilibrium swelling ratio and A = 1/k S S 2eq is the reciprocal of the initial swelling rate of the hydrogel.

To test the kinetics model described above, t/S vs. t graphs were plotted for analysed hydrogel membranes and representative graphs are presented in Figs. 11 and 12. Values of swelling rate constant and equilibrium swelling ratio, which were calculated from the slope and the intersection of the lines, respectively, are presented in Table 2. In this table the experimental values of S expeq are listed for comparison. All determination coefficients R 2 are greater than 0.998, indicating a small standard error and high precise linear regression equation. Values of the calculated equilibrium degree of swelling S calceq are in good agreement with the experimental data. These results suggest that Schott,s second-order kinetic equation is adequate to describe the whole swelling process of chitosan hydrogel membranes in buffer solutions. Our results are consistent with the statements of others that the swelling kinetics behaviour of ionic hydrogels (anionic and cationic hydrogels) is in good accordance with Schott,s second-order diffusion kinetics [4955].

Fig. 11
figure 11

Plots of t/S versus t for Ch, Ch/GA and Ch/GA/SA membranes in selected buffer solutions

Fig. 12
figure 12

Plots of t/S versus t for Ch/GA/SA membrane in all studied buffer solutions

Table 2 shows that values of apparent swelling rate constant for Ch/GA and Ch/GA/SA membranes are of the same order of magnitude for acidic and neutral swelling media but they increase for alkaline solutions. Thus, the swelling process of the cross-linked hydrogel membranes becomes somewhat faster at pH greater than 7. The appreciable change of the swelling rate constant at certain pH was observed earlier by Guilherme et al. [41] for polymer networks structured on vinyl-functionalized pectin (hydrogels with carboxylic acid groups). These researchers reported an appreciable decrease of k S for pH greater than 6. Thus, both for chitosan hydrogel membranes (cationic hydrogels) and hydrogels based on vinyl-functionalized pectin (anionic hydrogels), the appreciable changes of k S at certain pH could be associated with changes in degree of ionisation of the functional groups.

Conclusions

In this study chitosan was cross-linked with glutaraldehyde or with glutaraldehyde and sulfuric acid to obtain pH-responsive membranes with improved stability in acidic media. The FTIR spectroscopy data confirmed the formation of covalent and ionic cross-links between chitosan and cross-linking agents. The WAXD studies indicated the effect of cross-linking on the chitosan membrane crystallinity. Chemical modification (cross-linking by GA or by GA and SA) led to a decrease of thermal stability of the chitosan membrane. No characteristic changes in morphology of the chitosan membrane were observed after its cross-linking. SEM images indicated that both non-cross-linked and cross-linked membranes exhibited dense structure without any pores. The cross-linking process caused a small increase of the surface roughness of the chitosan membrane.

The swelling behaviour of Ch, Ch/GA and Ch/GA/SA hydrogel membranes was studied in buffer solutions of different pH. All the membranes exhibited a pH-responsive swelling. S eq for cross-linked membranes in the acidic solutions was high and changed little with the pH of the buffer solution, but a sharp change of that value was observed in the pH range of 5–6 for Ch/GA and in the pH range of 6–7 for Ch/GA/SA membranes.

The mechanism of water transport through the hydrogel membranes was dependent both on the membrane type and the pH of the swelling medium. For all membranes, coefficient n was dependent on the pH of the swelling medium. For non-cross-linked chitosan membrane, values of n decreased with pH increase and ranged between 0.99 (for pH 7.4) and 0.85 (for pH 9.5). Thus, Ch membrane showed a non-Fickian swelling behaviour in the studied buffer solutions. In the case of Ch/GA/SA membrane, values of n are higher than 0.5 in buffer solutions of pH < 6.5, but they are close to 0.5 in solutions of pH ≥ 6.5. This indicates a shift of water transport mechanism from anomalous to Fickian type, i.e. from relaxation-controlled to diffusion-controlled. It can be supposed that the observed shift of water transport mechanism resulted from deprotonation of amine functional groups.

The experimental data indicated that the swelling process followed second-order kinetics for all the studied systems. The obtained values of apparent swelling rate constant for Ch/GA and Ch/GA/SA membranes were of the same order of magnitude for acidic and neutral swelling media but they increased for alkaline solutions. Thus, the swelling process of the cross-linked hydrogel membranes became accelerated in alkaline media.