The design of proper nanocarriers for drug delivery purposes is a major area of research in nanomedicine. The most common carriers for drug delivery include polymeric ones where drugs are loaded onto biodegradable, non-toxic polymer-based supports. Our work consisted of loading streptokinase as an important and efficient fibrinolytic agent onto chitosan, a non-toxic, biodegradable and economically ideal polymer through electrostatic interactions. ANNs were then used to optimize our previously proposed nano-system containing streptokinase (
13). ANNs are based on a working brain with interconnection and arrangement of neurons in different layers to create networks, where learning results in network function (
22). Compared with classic modeling techniques such as response surface methodology (RSM), ANNs have shown promising in terms of their estimation and prediction capabilities (
23,
24). Additionally, ANNs have been proved to be able in dealing with nonlinear relations which are commonly observed in nano-based products, where statistical approaches normally fail to work, a second reason for using ANNs in this study (
18).
The results showed a coefficient of determination (R
2) of 0.85 for unseen data which represents a desirable predictive ANNs model. This model was then used to study the influence of the three different input variables on the streptokinase loading efficiency. To understand the effects of different factors on the output in an ANNs model, use of sensitivity analysis is the first choice someone can make. In this study, to investigate the relationships between inputs and output we used response surfaces, as detailed previously (
21,
25). To summarize the method, this strategy examines the influence of two variables on the output through 3D graphs (
i.e. response surfaces) generated by the software while the other variable(s) is fixed at low, medium and high values.
To do so, we first examined the influence of chitosan concentration and pH on the level of streptokinase loading while the enzyme concentration is fixed at low, mid-range and high values. The results are shown in
Figure 1. As can be seen, when chitosan concentration is medium or high (
i.e. >~0.4 mg/mL), by increasing the chitosan concentration, a peak in loading efficiency is observed which represent optimum value of pH (~ 5.1). Stirring oppositely charged polyelectrolytes in a solution causes their self-assembly due to the creation of strong but reversible electrostatic interactions. Many factors have been reported to affect the formation and stability of the polyelectrolyte complexes. Some examples include charge density and distribution on the polyelectrolytes, concentration and mixing ratio of the polymers, mixing order, molecular weight of the agents as well as the temperature and pH of the interaction environment (-). It is believed that cationic and anionic interaction sites are the main cause of streptokinase loading onto the chitosan. Therefore, at pH values between the isoelectric pH values of chitosan (
i.e. ~6.0) and streptokinase (
i.e. 4.7), the amino groups of chitosan are protonated and interact favorably with negatively charged carboxyl groups of streptokinase (
2,
14,
29). Accordingly, at an optimum pH value (
i.e. ~ 5.1, in this work), the most efficient interactions may be observed. Similarly, Alsarra
et al. showed that when using electrostatic interactions between chitosan and TPP solution, pH and the ionic nature are of great importance in determining the loading efficiency. They also indicated that an optimum pH value is required to maximize the loading efficiency because of a proper ratio of the cationic and anionic interaction sites (
14).
3D Plots of loading efficiency predicted by the ANNs model fixed at low, medium and high concentrations of the enzyme
When chitosan concentration is low, the relation between pH value and loading efficiency follows a different pattern. Details show that herein, increase in pH would result in an increase in the loading efficiency. Apparently, the effect of streptokinase concentration on the loading efficiency masks the effect of pH, thus, variation in value of pH will not markedly affect the loading efficiency when the chitosan concentration is low (<~0.3 mg/mL). The reason for this finding (i.e. direct relation between pH value and loading efficiency) is complicated and not precisely clear. However, it may be explained as follows.
In the present work, as previously stated, since the preparation of nanoparticles was based on electrostatic interactions without any linker molecule, Polymer/enzyme charge ratio would be an important factor in the formation of nanoparticles. Streptokinase has a negative net charge when the solution pH is greater than 4.7. The protonated amino groups on the chitosan interact electrostatically with the negatively charged groups on the streptokinase. It is reasonable to assume that the alteration of ionizable state of the streptokinase promotes its interaction with amino groups of chitosan and leads to the high loading efficiency when pH value goes up while chitosan concentration is fixed at a low value. For instance Gan and Wang (
7) used prepared BSA-loaded chitosan-TPP nanoparticles. They found that increase in mass ratio of chitosan to polyanion (TPP) leads to decrease in protein loading efficiency. This supports the idea that a smaller chitosan to TPP mass ratio is ideally appropriate to the protein loading during the formation of nanoparticles. One probable explanation is that a rise in the enzyme concentration will result in an intensified total negative charge carried by the long streptokinase molecules which consequently promotes electrostatic interactions between amino groups of chitosan and negatively charged streptokinase. Undoubtedly, further investigations are required for more in-depth clarifications about the underlying mechanism(s) and the conformational state of the chitosan/protein molecules present in the nanoparticles.
On the other hand, from the details, the increase in the chitosan level, in general, has a reverse and profound effect on the loading efficiency. As a matter of fact, the raise in environment viscosity with more chitosan level could be a main reason to the reduction of entrapment. This trend has already been reported (
4,
30). It is also clear that the effect of chitosan concentration is pH dependent: while at low pH values, this effect is not considerable, when moving towards higher pH values, a substantial influence may be observed on the loading efficiency.
Figure 2 shows the effect of chitosan and enzyme concentration when the pH is fixed at low, medium and high values. It is obvious that in general, the decrease in the chitosan concentration leads to a considerable increase in the loading efficiency. As previously stated, the decrease in the concentration of the polymer in solution is major contributor to the decrease in solution viscosity. Less viscous chitosan solution results in more polymer chain mobility and less entanglement (
20) which probably causes more efficient interactions between oppositely charged molecules. Additionally, from the
Figure 2, the enzyme concentration does not appear to impose important influences on the loading efficiency.
. 3D Plots of loading efficiency predicted by the ANNs model fixed at low, medium and high values of the buffer pH.
The graphs in
Figure 3 show the influence of enzyme concentration and pH effect on loading efficiency when chitosan concentration was fixed at low, medium and high concentrations. The results confirm the above findings:
The increase in chitosan concentration in general results in decrease in loading efficiency.
in respect to loading efficiency, there is an optimum pH (~ 5.1) when chitosan concentration is high or medium (i.e. > ~0.4 mg/mL)
The increase in pH results in increase in loading efficiency when chitosan concentration is low.
The change in enzyme concentration does not make considerable variations in the loading efficiency.
3D Plots of loading efficiency predicted by the ANNs model fixed at low, medium and high levels of the buffer pH.