1 Introduction

Chitosan (Ch) is a biopolymer that has recently enjoyed a lot of popularity. This is due to a number of its interesting properties, resulting from its structure. Chemically, it is a polysaccharide composed of two units: 2-acetamido-2-deoxy-β-d-glucopyranose and 2-amino-2-deoxy-β-d-pyranose, containing in the structure amine and hydroxyl moieties. The amine groups make Ch a cationic polyelectrolyte, and along with the hydroxyl groups, involved in the adsorption processes and other interactions. Due to its bioactivity and biodegradability Ch is popular among pharmaceutical, medical and cosmetic concerns. It is used primarily as a support for the supply of drugs and proteins (Moradi et al. 2019), biosensors (Zhang et al. 2018), nanofibers (scaffolds in tissue engineering) (Rijal et al. 2018; Bhowmick et al. 2018). In the area of life science, titanium dioxide (TiO2) is also often found, which is generally associated with its role as natural, physical UV filter or drug filler. It has been proven that chitosan can form stable bonds with TiO2 (Hasmath Farzana and Meenakshi 2014; Raut et al. 2016; Gozdecka and Wiącek 2018) and resulting product shows synergy of their properties. Moreover, some studies confirm that both titanium(IV) oxide and chitosan have antimicrobial (antibacterial, antifungal) properties (Krajewska et al. 2011; Uranga et al. 2019; Desai and Kowshik 2009; Scuderi et al. 2016; Jesline et al. 2015; Verdier et al. 2014; Bonnet et al. 2015) and also show non-toxicity (Khojasteh et al. 2016; Ji et al. 2016; Reis Éde et al. 2016).

The biocompatibility of the Ch/TiO2 system can be increased by the presence of hyaluronic acid (HA)—the dermis component. In an adult human body it is about 15 g and more than half (56%) of the body fluids resources is located in the skin. However, the content of hyaluronic acid in the skin is not constant. Its level increases during inflammatory processes, during rapid proliferation, regeneration and in tissue repair processes (Raszeja-Kotelba et al. 2002; Lemperle et al. 2003; Laurent and Fraser 1992).

HA is a linear polymer composed of disaccharide units consisting of the acids: β-d-glucuronic acid and N-acetyl-β-d-glucosamine (in the ratio 1:1). In human skin, it is a component of the intercellular matrix of the dermis, however, it does not itself create a typical proteoglycan (by the inability to form a covalent bond with proteins). Despite this, in the extracellular space, it interacts non-covalently with many different molecules, constituting an axis for the growth of other glucosaminoglycans (Raszeja-Kotelba et al. 2002). HA chains are not amenable to any modifications (including epimerization), hence in the system (in body fluids), it may differ only in the length of the chain, which determines the size of the molecule. The negatively charged polymer chains have the ability to retain water and associate with the remaining components of the connective tissue. Water is bound in the polysaccharide network, composed of hyaluronic acid and proteoglycans, which results in high tissue resistance to water flow (Laurent and Fraser 1992). Owing to these properties, hyaluronic acid is responsible for the integrity of the intercellular tissue substance, gives it elasticity and flexibility (Kroma et al. 2012). The polysaccharide network of high molecular weight HA also binds low molecular ions, fulfills the function of osmotic buffer and has the ability to spherical exclusion of various molecules depending on their size, which is important in protecting tissues against penetration of bacteria, fungi and viruses (Laurent and Fraser 1992). In addition, it participates in the sequestration of reactive oxygen species, which is why it is included in compounds called scavengers of free radicals and detoxifying compounds (Taylor and Gallo 2006). In dermatology, among others in the treatment of burns and scars, and for replenishing the loss of subcutaneous tissue, HA is used. In addition, it reduces pruritus in the hypertrophic scar, and after removal it prevents its re-emergence.

The use of natural polymers, including chitosan and hyaluronic acid, allows obtaining materials with properties similar to those of the extracellular matrix. The advantage of this type of materials is their additional biocompatibility, lack of toxicity and low propensity to induce allergic reactions and a relatively low price. They often play a very specific role in the process of skin tissue reconstruction, inter alia, being the place of cell adhesion. Among commercially available natural polymers, chitosan is the only polymer exhibiting antimicrobial activity. However, despite the wide spectrum of activity, it does not negatively affect the growth of damaged tissue cells.

This article has been devoted to the determination of the influence of individual components as well as the created multiple system on a model biological membrane, formed by phospholipid DPPC using the Langmuir monolayer technique.

DPPC is the main component of many lung surfactants. It consists of two palmitic acids attached to the main group of phosphatidylcholine. It is a zwitterionic because of the presence of negative charge on the phosphate group and the positive charge on the quaternary ammonium group (Jurak and Wiącek 2017). Its structure allows forming monomolecular layers at the liquid–gas interface in the Langmuir trough which mimic membranes in living organisms. It seemed interesting to study how individual components of subphases influence on the model DPPC membrane behavior, thus the interactions in physiologically active systems. It was found that composition of the subphase affects the DPPC monolayer properties. As a consequence of mutual interactions there occur changes in mean molecular area, packing and ordering, and pressure of phase transition. However, these do not interfere with the structure at a pressure corresponding to that of biological membrane (35 mN/m), leaving it homogenous, compact and sufficiently rigid. This work is part of the research to characterize the combination of titanium dioxide with chitosan and hyaluronic acid. It has been recently published (Hasmath Farzana and Meenakshi 2014; Raut et al. 2016; Gozdecka and Wiącek 2018) that these substances have a stable/durable combination, and the synergy of certain properties has been confirmed.

2 Experimental

2.1 Materials

Titanium dioxideTiO2 P-25 Evonik (early Degussa), fine-grained, purified by procedure described in the next section (see Sample preparation), chitosan—(Acrōs Organics, ACRS34905) molecular weight 100,000–300,000 (applied without purification), acetic acid—Avantor Performance Materials, with a purity of 99.9% (as the solvent for chitosan and the environment for other systems) and hyaluronic acid—a commercial 1% solution stored at 5 °C, was used to prepare the subphase for DPPC—1,2-dipalmitoyl-sn-glycero-3-phosphocholine, Sigma, with a purity > 99% (stored at − 20 °C) dissolved in chloroform—Avantor Performance Materials, with a purity of 98.5%.

2.2 Methods: compression isotherms

The surface pressure–molecular area (π–A) isotherms were registered for monolayers obtained in a computer-controlled KSV standard-trough (KSV Instruments Ltd., Finland). The apparatus consists of trough, two movable barriers and a Wilhelmy plate—serving as a pressure sensor. The whole system is placed on an anti-vibration table. The temperature during the tests was 20 ± 1 °C, maintained by a thermostated circulating water system.

After precise cleaning and preparing the test trough was filled with subphase. Next chloroform solution of DPPC was applied dropwise on it. Following evaporation of the solvent (typically about 10 min), the compression of the phospholipid monolayer began. Compression occurred through the movement of barriers towards the center of the trough at a constant, pre-set speed of 10 mm/min.

2.3 Sample preparation

2.3.1 Purification of TiO2

Commercial TiO2 was subjected to further purification according to the procedure described by Preočanin and Kallay (2006). The suspension of TiO2 in water was sonificated for 30 min and the pH was adjusted by the addition of NaOH solution (0.1 M) to obtain neutral pH close to the isoelectric point. The purified powder of TiO2 was dried at 100 °C. After that, it was ground using a mortar and was stored in a desiccator. More details are presented in our previous papers (Wiącek et al. 2014, 2018; Gozdecka and Wiącek 2017, 2018).

2.3.2 Subphase preparation

Eight different subphases for the DPPC monolayer were prepared:

  • acetic acid (AA) 0.1%—AA,

  • chitosan (Ch) (0.1 mg/mL) in acetic acid (0.1%)—AA/Ch,

  • hyaluronic acid (HA) in acetic acid (0.1%) (v/v 0.5 mL/L)—AA/HA,

  • chitosan (0.1 mg/mL) in acetic acid (0.1%) with the addition of hyaluronic acid (v/v 0.5 mL/L)—AA/Ch/HA,

  • titanium dioxide (TiO2) in acetic acid (0.1%) 1.2 mg/mL—AA/TiO2,

  • titanium dioxide (1.2 mg/mL) with chitosan (0.1 mg/mL) in acetic acid (0.1%)—AA/Ch/TiO2,

  • titanium dioxide in acetic acid (1.2 mg/mL) with the addition of hyaluronic acid (v/v 0.5 mL/L)—AA/TiO2/HA,

  • titanium dioxide (1.2 mg/mL) with chitosan (0.1 mg/mL) in acetic acid (0.1%) with the addition of hyaluronic acid (v/v 0.5 mL/L)—AA/Ch/TiO2/HA.

For the preparation of stock acetic acid solution (which was the environment and the solvent for the other systems), water purified by the Milli-Q Plus 185 system from Millipore (USA) (conductivity 18.2 MΩ cm) was used. The remaining samples were made by measuring/releasing and combining the appropriate amounts of components.

2.3.3 DPPC solution

A DPPC phospholipid at a concentration of 1 mg/ml was used to prepare the model biological membrane. The solution was prepared directly before the measurements, and was stored at − 20 °C, no longer than 2 days. As the solvent for the DPPC, chloroform with purity ≥ 98.5% from Avantor Performance Materials was used.

2.4 Characterization of TiO2–P25 particles, Ch and Ch/TiO2 composite

Characterization of TiO2 particles, Ch and Ch/TiO2 composite was made on the basis of particle diameter studies—by dynamic light scattering, the presence of atoms and moieties, FTIR-ATR and XPS methods, which have already been described in our previous papers (Wiącek et al. 2014; Gozdecka and Wiącek 2017, 2018). It is suggested that the chitosan adsorbs onto the oxide particles, thereby significantly increasing their stability, by increasing the repulsive forces between them, consequently leading to the formation of the composite.

3 Results

3.1 Surface pressure–area (π–A) isotherms

As a result of the compression of the phospholipid monolayer formed, isotherms of surface pressure as a function of the area per molecule in monolayer are obtained, in brief as π–A isotherms. Surface pressure defined as the difference between water surface tension and surface tension in the presence of monolayer was measured by the Wilhelmy method. Compression isotherms are characterized by particular regions that depict the state of the DPPC monolayer: gas (G), decompressed liquid (LE), LE–LC phase transition, and condensed LC.

The physical state of the monolayer, which changes during compression, is influenced by the interactions between the molecules in the surface layer, whose force and range change due to approaching the molecules to each other. Particular orientation and packing of molecules on the subphase surface correspond to the specific states. The highly decompressed monolayers formed after application of the solution are in the gaseous state. As the molecules approaching each other in the monolayer the interactions between them are getting stronger, causing an increase in surface pressure, suggesting the transition from the gas phase (G) to the decompressed liquid (LE). Further compression leads to a phase transition from decompressed liquid state (LE) to condensed liquid (LC). This transition is manifested on isotherms usually as a region with a constant pressure (plateau), and is called as the first order phase transition (πpt) (Jurak and Chibowski 2010; Jurak et al. 2016; Jurak and Miñones 2016). Moreover, based on the compression isotherms (π–A), the following parameters were determined: lift off area (Ao), limit area (Alim), compression modulus (Cs−1). Parameter A0 defines the value of the area at which the transition from the gas phase to the expanded liquid occurs, that is, when the isotherm begins to rise. On the other hand, limit area is a parameter that determines the area per molecule in a closely packed monolayer. It is determined by extrapolation of the linear part of the isotherm to zero value of surface pressure.

A useful parameter for full monolayers characterization is their compressibility, or its inverse, that is, the compression modulus, which assumes that the higher values the more condensed monolayer is. Compression modulus was calculated using numerical data of π–A isotherms, according to the following formula (Davies and Rideal 1963):

$$C_{s}^{{ - 1}}= - A{\left( {\frac{{d\pi }}{{dA}}} \right)_{n,~T}}$$
(1)

where: A—area per molecule, π—surface pressure, n—number of moles, T—temperature.

Very expanded monolayers are characterized by low Cs−1 values (12.5–50 mN/m). However, during compression process the molecules in the monolayer are approaching and the interactions between them are getting stronger. For the liquid-condensed monolayers the Cs−1 values are within 100–250 mN/m.

The LE–LC phase transition pressure seen as plateau in the course of the isotherm (Fig. 1) was precisely read from the graph of the dependency of the compression modulus as a function of the surface pressure (Fig. 2). The Fig. 2 shows a clear phase transition of the decompressed liquid–condensed liquid (LE–LC), which appears as a minimum in the course of the function, dividing the graph into two maxima that correspond to the expanded liquid (LE) and the condensed liquid (LC), respectively.

Fig. 1
figure 1

Surface pressure–area (π–A) isotherms of the DPPC monolayers registered on the different subphases at 20 °C, with the A0 parameter, where A0—lift off area

Fig. 2
figure 2

Dependence of the compression modulus as a function of the surface pressure for the DPPC monolayer on all types of subphases

During further compression an increase in surface pressure and the modulus was observed in the order of 100–250 mN/m, characteristic for the monolayer in the state of the condensed liquid (Guzmán et al. 2017; Krajewska et al. 2011; Pavinatto et al. 2007, 2010; Cámara et al. 2016). Within this phase there are already strong intermolecular interactions, and that is why in monolayer there are areas with significant ordering and packing of molecules.

3.2 DPPC monolayer on water and AA

With regard to the DPPC isotherm obtained on the water, the presence of AA in the subphase caused a slight shift (by about 1.2 mN/m) of the initial part of isotherm towards the lower area per molecule values (see parameter A0—Table 1). By that act it adopted a lower value of the LE–LC phase transition pressure in the range of 100–60 Å2. However, in the range of 55–40 Å2, it assumes higher area values for appropriate pressures compared to the isotherm obtained for water, while maintaining a proportional slope of the curve. Therefore, for the AA system a higher value of Alim—53.9 Å2 (for H2O—52.8 Å2) was obtained, as well as lower values of the compression modulus at high pressures. This suggests strengthening of the interactions in monolayer at low surface pressures and increasing flexibility at high π values, which may indicate a strong interactions between DPPC and acetic acid molecules.

Table 1 Parameter: A0 (lift off area), Alim (limit area) and πpf (LE–LC phase transition) values for the DPPC monolayer on the different subphases

3.3 DPPC monolayer on AA/Ch and AA/HA

The addition of Ch into the system resulted in shifting the initial stage of the isotherm (by about 1.2 mN/m) towards higher area per molecule values, as well as higher pressures, in relation to the isotherm recorded on the water subphase. As compared to AA, acceleration of the transition of DPPC from the gas to the liquid-expanded state (A0—99.1 Å2), simultaneously delayed the LE–LC transition, which required a slightly higher pressure (πpt = 4.5 mN/m). The addition of Ch caused a stronger shift of the linear part of the isotherm into the right-hand side of the graph, which confirms the statement of Cámara et al. (2016) about the existence of strong electrostatic interactions between the polymer and the phospholipid.

While, in the case of the system with hyaluronic acid system (AA/HA), the greatest changes were observed in the initial stage of the isotherm, where the gas–expanded liquid phase transition delayed (A0—93.5 Å2), resulting in almost the largest isotherm displacement, relative to an isotherm registered for water subphase. Also the LE–LC transition required other conditions, i.e. higher pressure πpf equals 5.0 mN/m. This means that HA hinders verticalization of the DPPC molecules.

Ultimately however, the isotherm showed the smallest shift at a pressure in the range of 10–30 mN/m (in comparison with the AA/Ch and AA systems). Above the pressure of 30 mN/m there are slight fluctuations in the course of the isotherm, consequently higher levels of the compressibility modulus, and above π = 40 mN/m—lower levels CS−1 (Fig. 2), are registered.

The combination of Ch with HA in the subphase caused changes in the course of the isotherm to move towards larger molecular areas. However, at the pressure above the first order phase transition (πpt = 5.5 mN/m), isotherm took the intermediate π and A values situated between the AA/Ch and AA/HA isotherms. Finally however, above value π = 45 mN/m, it approached to the first one isotherm. This can suggest that mainly Ch molecules interact with the monolayer (and stay in it) at higher pressure values.

3.4 DPPC monolayer on the subphases with TiO2

In the case of earlier depicted systems, the changes were small, but drastic changes were observed for the TiO2 containing systems. The presence of oxide accelerated the G–LE phase transition, occurred as far back at A0 = 101.3 Å2, also significantly delayed the transition of LE–LC, required the highest pressure πpt = 5.8 mN/m (Table 1) in comparison with all other subphases. In reference to the isotherm registered for water, the full isotherm obtained on the AA/TiO2 subphase was located in the area of higher surface pressures. Simultaneously the highest packing revealing in the high values of the compression modulus can suggest the penetration of TiO2 particles between DPPC molecules.

Whereas, the mixture of Ch with TiO2 showed how remarkable can be the effect of Ch on physico-chemical properties of this composite, because the isotherm took on almost the same shape as that obtained for the alone biopolymer (AA/Ch). The difference in the course of the isotherm was visible only at low pressure values. The isotherm began to rise at the surface value of the intermediate between AA/Ch systems (A0 = 99.1 Å2) and AA/TiO2 (A0 = 101.3 Å2), namely—100.4 Å2. This can suggest that the long Ch molecules surround the TiO2 particles, hindering the inorganic substance from contacting the monolayer, thereby causing smaller changes throughout the isotherm course. This statement is also confirmed by slightly smaller compression modulus values, but more similar to those obtained for AA/Ch subphase, than for the lower modulus values by about 100 mN/m in the case of the AA/TiO2 system (see Table 2).

Table 2 Compression modulus for the decompressed liquid (LE) and the condensed liquid (LC) states and additionally at 30 and 35 mN/m pressures

For the AA/HA/TiO2 subphase the isotherm begins to rise, at the intermediate value for those obtained for AA/HA (A0 = 93.5 Å2) and AA/TiO2 (A0 = 101.3 Å2) respectively, specifically 97.9 Å2. And this course also maintains throughout the duration of compression process. Only in the area of 80–65 Å2, i.e. this is in the range of the first order phase transition, it approached to the isotherm registered for the monolayer on the subphase AA/HA. For the example of this connection, it is perfectly seen how one component can reduce the effect of the other, because intermediate values for all the investigated parameters were obtained between those for pure components. This may suggest the occurrence of component competition in the interactions with DPPC molecules.

Analyzing the isotherm for the most complex system containing all of the listed components, it can be seen that the presence of TiO2 had the greatest effect on the isotherm course at low surface pressures, transferring the initial part of the isotherm to higher molecular areas (A0 = 102.8 Å2). The addition of HA had an effect on increasing the pressure value for LE–LC transition; whereas Ch effect was dominated in monolayers at high surface pressure values, which may indicate its penetration and staying in it, even when monolayer is closely packed—causing its elasticity to increase.

Summary, as can be seen in Fig. 1 and Table 1, the A0 values increase with the addition of further components to the subphase, which indicates that the Ch and TiO2 get between the DPPC molecules weakening the attraction forces between the phospholipid molecules. Only the use of AA and AA with the addition of HA has the opposite effect, that is, it enhances the attraction forces between the DPPC molecules probably as an effect of the high viscosity changes. The biggest shift occurred in the case of the AA/HA/TiO2/Ch system (difference 4.9 mN/m, in relation to water), while the smallest changes took place in the presence of the AA/HA/TiO2 system (difference 0.1 mN/m).

As can be seen in Table 1—limit area per molecule in monolayer grows with increasing amounts of components in the subphase (except AA/HA), suggesting that even at high compression, subphase components noticeably affect the monolayer organization (structure).

In the Table 2 and Fig. 2 we have distinguished two pressures of 30 and 35 mN/m because these values correspond to the pressure of the biological membranes. In this range of pressures the DPPC monolayer formed a compact homogeneous structure, which was sufficiently rigid. The higher value of the compression modulus proves greater condensation of the monolayer.

4 Discussion

In order to determine the interactions between chitosan, titanium dioxide, hyaluronic acid and biomembranes, those of individual components with the DPPC phospholipid in the Langmuir monolayers as model membranes were investigated. Possible interactions were evaluated by monitoring the differences in the shape of the compression isotherms measured in the absence and presence of aforementioned substances in the subphase.

The individual components of the subphase did not disturb a course of the π–A isotherms, to a greater extent. At low surface pressures (i.e., at large areas per molecule) the elasticity of the DPPC monolayer is greater in the presence of Ch, TiO2, or HA. However, all isotherms retain the flatness typical for the first order LE–LC transition. The isotherms at this pressure show no significant reduction in elasticity. This is indicated by the value of the phase transition pressure, which proves that the composition of the subphase does not result in the disappearance of the LE–LC phase transition—characteristic for DPPC phospholipid, only affects the change in pressure value at which it occurs.

Considering the addition of TiO2 to individual systems, it can be seen that in each case it causes the shift of the π–A isotherms to the region of larger area per molecule values. This suggests a very strong effect of this component on the properties of particular substances in subphases. Such behaviour was also confirmed by other authors (Guzmán et al. 2017). This is the result of penetration of TiO2 particles into a single layer of DPPC molecules and consequently a change in monolayer morphology. Considering the charge present on the surface: positive for TiO2 and negative charge of the phosphate group in the amphoteric, hydrophilic “head” of the phospholipid, it was concluded that the incorporation of TiO2 into the monolayer is mediated by electrostatic interactions. However, Guzmán et al. (2017) did not notice any clear relationships between the scale of the isotherm shift and the concentration of nanoparticles in the subphase, while concluding that the nanoparticles are strongly embedded in a single layer, due to the presence of other interactions, e.g. hydrogen bonds. The existence of strong interactions between subphase components and the phospholipid film is evidenced by higher values of compression modulus suggesting that monolayers create a packed and stiffer structure. Systems containing TiO2 show high CS−1 values; only after mixing combination with Ch—lower, which is probably the result of the composite formation, where the biopolymer forms a coating on the oxide particles.

Chitosan alone (AA/Ch system) causes the curves shift to the right on the graph compared to the H2O, AA subphase respectively, which means that monolayers have been extended and that the Ch addition to the subphase exerts a membrane interference effect. The similar observations were noted by Krajewska et al. (2011) and Pavinatto et al. (2007). In addition, Ch enhances this shift in other tested mixtures (except for the AA/TiO2/Ch system, where a smaller shift was recorded than for the AA/TiO2 system but larger than for the AA/Ch). The low values of compression modules at high surface pressure values may suggest that chitosan interacts with DPPC via weak electrostatic interactions. However, the fact that the AA/Ch and AA/Ch/TiO2 systems showed similar parameters proves the existence of additional relationships. The research carried out by Pavinatto et al. (2010) and Cámara et al. (2016) allowed to conclude that the effect of chitosan strongly depends either on its functional uncharged groups and/or on its specific conformation in the solution, which probably also occurs in our case.

The addition of HA only in the systems in which Ch was present caused the shift of the π–A isotherms towards larger molecular areas. In other cases (alone and in the presence of TiO2) it causes the opposite effect—it transfers the curves to the region of smaller area values. Analyzing the magnitude of changes the presence of HA and comparing the structure—similar to Ch molecules, we can conclude that the amide groups can be of great importance in the interactions with the phospholipid molecules. Ch causes opposite changes in the course of isotherms, as compared to those induced by HA, with much bigger number of amide groups. Degree of deacetylation (parameter determining the number of glucosamine groups relative to all glucosamine and N-acetylglucosamine groups present in the polymer structure) of Ch used in our studies was about 82%. Thus, both ammonium and hydroxyl groups can participate in interactions with the polar heads of DPPC molecules by electrostatic forces and/or hydrogen bonding. HA possesses proton-donor and proton-acceptor groups which can take part in the acid–base interactions with DPPC but the electrostatic interactions are hardly possible.

The transfer of curves to the higher area values suggests that the individual components of the subphase get into the phospholipid layer (this is also confirmed by the increased values of Alim) weakening the attraction forces between the phospholipid molecules. Growth of limit area parameter indicates, that even for high compression values, subphase components affect the monolayer structure. The higher Alim means that the more space in the entire monolayer falls on the one DPPC molecule, so that it is less packed and compact. This makes it difficult to take a vertical position by the DPPC molecules to form the condensed domains during the LE–LC phase transition, and finally a homogeneous film, that is reflected in the increased values of the LE–LC phase transition pressure values (πft).

5 Conclusions

The presence of Ch, TiO2 and HA in the subphase noticeably influences on the DPPC membrane structure. This is evidenced in the modification of the packing degree defined by the values of the compressibility modulus and average area per molecule in the monolayer. It was obtained that the greatest changes of these parameters occur in the presence of TiO2 particles in the subphase. On the other hand at the pressure of 30 and 35 mN/m which correspond to that of the biological membranes, a AA/HA/TiO2/Ch system has a very similar parameters compared to model DPPC isotherm. The obtained results suggested that even at high compression, subphase components affect the monolayer organization (structure), increasing or reducing its flexibility. We hope that our studies can help in the scaling-up of HA/TiO2/Ch systems applications of increased biocompatibility.