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204
Nano Physical Pharmaceucs of Microsphere Delivery System
RESS:      
is rapidly expanded in the expansion chamber to reduce the solubility rapidly so that the solute can precipitate to form microspheres. This method does not require the use of other solvents, which is conducive to environmental protection. However, CO
2
is relatively weak in polarity and can dissolve fewer
substances, so it is mainly applied to fat-soluble drugs.
GAS: Drugs and polymers are dissolved in an organic solvent,
       
the organic solvent but has poor solubility for the drug and polymer is used to precipitate to obtain microspheres. It is applicable to compounds that are slightly soluble or insoluble in
                   
system, which will ensure a low level of the residual amount of the solvents, as well as a narrow particle size distribution.
PCA: This method is similar to spray drying. The drug-
 
vapor phase to form fog droplets which will then be penetrated
         
dissolving capacity of the solvent, thereby causing the drug and polymer to precipitate to form particles. In this way, relatively monodisperse microspheres with small particle sizes can be prepared [26].

6.3 Mechanism of Microsphere Formation

6.3.1 Stability of Nano-Microspheres and DLVO Theory

Microspheres are thermodynamically unstable systems. There is a tendency for particles to coalesce with each other to reduce their surface energy, that is, microspheres are featured with instability which makes them easy to coagulate. Therefore, a stabilizer is necessary when preparing microspheres. In addition, due to the small particles of microspheres, the Brownian motion (which refers to the never-ending irregular motion of particles suspended in liquid or gas) is violent, so they are not easy to settle in the

Mechanism of Microsphere Formation
205
microspheres must have both stability and dynamic stability that are not prone to coagulation. However, the stability that is not prone to coagulation is more important, because although Brown motion makes the microspheres have dynamic stability, it also promotes the continuous collision among particles. If the particles lose their stability against coagulation, the mutual collision will cause agglomeration, and the result is that the particles are enlarged, with the speed of Brownian motion decreased, and eventually the microspheres will become a dynamically unstable system. The process of particle aggregation from small to large is called aggregation, and the large particles formed by the

of aggregation causes particles to precipitate out of the solution, the aggregation process is called coagulation. In order to accelerate the aggregation, other substances can be added as a coagulant, such as electrolytes [13]. In addition, certain physical factors may also cause the coagulation of microspheres, such as light, electricity, and heat [13, 28].
When discussing the stability problem, we must consider the force between particles (Fig. 6.2), which generally has the
  
gravity; (2) Electrostatic repulsion; (3) Born force or short

Landau, Verwey and Overbeek put forward DLVO theory based on the mutual attraction and mutual repulsion force between
     
the stability of particle multiphase dispersion system. The following mainly discusses the calculation of attraction and repulsion

The DLVO theory provides a method to calculate the repulsive energy and attracting energy among colloidal particles, and based on this, the stability of colloids is quantitatively processed, the relationship between the coagulation value and the electrovalence of counterions can be concluded, and the Schulze–Hardy rule
        
stability and coagulation of colloids from the perspective of the interaction between the repulsive potential energy and the attracting potential energy among colloidal particles. It is believed that there are two interaction forces among charged colloidal
206
Nano Physical Pharmaceucs of Microsphere Delivery System
particles, that is, the electrostatic repulsion when the electrical double layer overlaps, i.e., the long-range Van der Waals attracting force among the particles, and their interaction determines
          
potential energy V
T
D
among particles in the dispersed system is the sum of the repulsive potential energy (electrostatic repulsive potential energy) V
ER
and the attracting potential energy (long-
range Van der Waals potential energy) VWA, namely:
V
T
D
=
VER + V
WA
(6.1)

6.3.2 Factors Affect the Potential Energy

        
particle size and shape of colloids, the distance among particles, Hamaker constant A, the particle surface potential y, and the electrolyte concentration n[31]. For a long time in the past, the classic DLVO theory has been used to explain the cohesion and dispersion behavior between colloidal particles. However,
           
special interaction forces between hydrophilic or hydrophobic particles, which play a decisive role in the stability of the colloidal dispersion system. The classic DLVO theory cannot explain the cohesion and the dispersion of these systems, and an extended DLVO theory is thus proposed as shown in Equation 6.2:
V = VER + VWA + VSR + VHR + VHA + V
MA
(6.2)
Here V
SR
refers to the space-repulsive potential energy, V
HR
refers to the hydration interaction repulsive energy, V
HA
refers to
the hydrophobic interaction attracting energy, and V
MA
refers to the magnetic attraction potential energy. If the distance (H) between the surfaces of two spherical particles with equal volumes is much smaller than the particle radius (r), the mutual gravitational potential energy (Aa) between the two particles can be approximated based on Equation 6.3:
A 
12
Ar
(6.3)
a
H
Mechanism of Microsphere Formation
207
where Aa is the gravitational potential energy, A is the Hamaker constant, r is the particle radius, and H is the surface spacing of spherical micelle particles. The Hamaker constant is related to the properties of particles (such as the number of atoms per unit volume, polarizability and solution pH), and is the characteristic constant of substances, which are approximately




J [32].
The magnitude of the repulsion potential energy (V) between particles with the same charge depends on the number of particle charges and the distance between each other. If the surface
               
potential energy between parallel plates is:
1
1
V Kc
2
exp Kc
2
r 1
2
(6.4)
Here c is the electrolyte concentration, K1 and K2   values under certain conditions, and V decreases exponentially with the increase of electrolyte concentration c, therefore, the
     
of microspheres. For two spherical particles with a distance of H, assuming that the surface potential is low, the repulsive potential energy can be approximately expressed as:
Vr  K ej

2
exp (kH)

Here K is a constant, e is the dielectric constant of the medium, jis the electric potential of the colloidal particle surface, K is the reciprocal of the ion atmosphere radius in the Debye-Hickel equation, His the minimum distance between the surfaces of the two spheres, and r is the particle radius. It can be seen from the equation that the repulsive potential energy increases with the increase of the surface potential jand the particle radius r, and decreases exponentially with the increase of the distance among particles.
The total potential energy among particles should be the sum of the attracting potential energy and the repulsive potential
208
Nano Physical Pharmaceucs of Microsphere Delivery System
energy, that is, V = Va+ Vr, and the value change is roughly. In the potential energy curve, the height of the potential barrier is a sign of the stability of microspheres. When the height is zero, microspheres will become unstable. Find the point where the potential barrier is reduced to zero due to the addition of electrolyte, namely:
dV
, V 
(6.6)
dH
The concentration c of electrolyte added at this time is the coagulation concentration when V 

expression of the DLVO theory with water as the medium is obtained:
4
r
cK
26

AZ

6.3.3 Factors Affect the Stability of Microspheres

6.3.3.1 Properties of polymers
Aggregation or association is a process in which primary particles
         
under the action of force. The study of particle aggregation in polymer solutions and dispersions has attracted extensive attention of scientists. The aggregation of polymer chains can form a variety of structures such as spheres, core–shell, columns and vesicles with uniform density. Because the aggregation of polymer chains has many important applications in industry, such as the stability of lotion particles, the preparation of dyes and pigments in the printing industry, etc. The aggregation of a polymer single chain is more complex [33]. Wu et al. studied the thin layer phase separation behavior on the surface of a homopolymer
         
from the time scale of permanent interpenetration of two adjacent aggregates, aggregation does not play a leading role [34]. Our group’s research shows that the expressions of tC and tE are as follows:
l
Mechanism of Microsphere Formation
209
role (
C E
       
shown in Fig. 6.2.

v
t
E
t
C
2
3 32 p/
N
af
D
2
l

D

1
where
l

velocity,

monomer,
is
〈
D〉

N is
the
 

range
of interaction; v


 
the
degree

of polymeri
〈
a

When
particles on adjacent the requir
time collide cannot
with each
be bonded in the collision properties studies have


 
aggregation group
of
shown
–6

of
on »the
surface
t
t
collide with each other, the polymer chains
microspheres
ed
for this tprocess
other
will entangle
is C. If t
is
t
t
« E , the
C
E
together. They are like two
process,
long
in the
polymer
which is determined
high
molecular
that
even
if the polymer
collapsed

 
is very
of such
slow.
polymer
chains
state, the
particles
is
the


the length
zation,
with
. The
time
two
[34].
concentration
f

If there
average 1 thermal

D
of P a
and
each
other,
when
particles
colliding
elastic
by the
P
particles
“glas
viscoelastic
Our
previous

is
no a hydrophilic
to
play
stabilizing
unit
is
the
and
s balls”
is very
as
 
viscoelastic particles.
210
Nano Physical Pharmaceucs of Microsphere Delivery System
6.3.3.2 Surface charge of microspheres
Based on the type of surfactants, monomers or initiators used, the surface of microspheres is positively or negatively charged. The greater the surface charge, the greater the repulsive force among microspheres, and the more stable the microspheres in an aqueous solution. Therefore, the electric potential is one of the important indicators to characterize the stability of the microsphere dispersion (see Fig. 6.3).
Figure 6.3 The micro-electronic properes and force among charged parcles in soluon.
      
called the Van der Waals force (or London dispersion force). The sum of the potential energy of these two interactions is negatively correlated to the center-to-center distance. For the highly charged microspheres suspended in a solution containing
                 
the potential is still controversial. Generally speaking, the potential energy must be added with the third term: the stronger long r.
2 kr kh
()
Ur
()Ze e
2
e

e1kr
h
Here h is the center-to-center distance of the two charged microspheres, Z is the number of charges of each charged microspheres, r is the radius of the charged microspheres, and e is

NPP of Microspheres

211
the dielectric constant of the dispersive medium. The magnitude
        
increase of the stray electrolyte concentration, which is due to the

6.4 NPP of Microspheres

6.4.1 Physicochemical Properties of Microspheres

6.4.1.1 Parcle size and apparent structure of microspheres
The shape, size and pore structure of microsphere particles depend on a lot of experimental variables, such as temperature, stirring speed, pH, stirring type, porogen, polymer and their concentration. Therefore, it is very challenging to synthesize porous particles with predetermined porosity.
     
conditions. In the copolymer system of GMA and DVB or EGDA (Route 1), polymers with a higher content of GMA and PGMA are separated from polydimethylsiloxane during the polymerization process. The polydimethylsiloxane migrates inward, and monomers and polymers migrate to the interfaces of the dispersed phase
         
capsule structure will be formed. Due to the relatively low thermal gravity, micelles that migrate to the interface will deform, making the surface of microspheres smooth. In the cross-linking system St (Route 2), the phase separation occurs later, and monomers
   
micelles is larger and have a higher thermal weight. The “eggshell” can be supported by micelles, and the surface of microspheres has a spherical convex structure. In the P (GMA-St­EGDA) system (Route 3), the phase separation occurs earlier due to the poor compatibility of monomers and porogen. At the same time, monomers show poor swelling capacity towards micelles, so micelles prepared in this way are smaller. However, the T
g
is relatively moderate, which can not only form a support frame, but also cause shrinkage and wrinkle deformation of the “eggshell” [38].
212
Nano Physical Pharmaceucs of Microsphere Delivery System
The volume shrinkage of the “eggshell” shows the shape of wrinkles, which should be directly related to two factors. On the one hand, the micelle skeleton formed by phase separation acts as a support, which determines the basic roughness. The results show that the surface of P(St-EGDA) and P(St-DVB) microspheres are spherical protrusions, and the compatibility between St and dimethylsiloxane is better than that between
           
The performance of microspheres can be further improved
          
mixed particles can be changed within a controllable range to adjust their optical, electrical, thermal, mechanical, electro-optical,
       
facilitates the adjustment of the interaction between microspheres, and stabilizes the dispersion of these balls in a given medium. In addition, in the subsequent steps, solvent extraction, high­temperature calcination and other ways can also be used to remove the inner core, thereby generating a hollow sphere of the coating material. In many cases, these hollow spheres may show
                
have an advantage over solid spheres because hollow spheres have a lower density. Hollow spheres have nothing inside, which also makes them particularly useful in other niche applications. For example, it can be used as a container to carry various
     
6.4.1.2 Factors affecting the particle size of microspheres
Drug concentration. There are two ways to add drugs into microspheres: one is to add drugs into microspheres during the formation of microspheres. The other is to prepare blank
          
into the microspheres. With the increase of drug concentration and drug loading of microspheres, the particle size will continue to increase.
NPP of Microspheres
213
Effect of additives. By reducing the interfacial tension between the dispersed phase and the dispersion medium, the surfactant can vary the size of the emulsion drop in the preparation
                           
microspheres.
Preparation method. The size of the microspheres depends greatly on the preparation method, and the diameters of the
      
not necessarily the same. The same preparation method adopts
       
Mixing speed and emulsification time. Generally, the faster the stirring speed is, the smaller the particle size is. The ultrasonic treatment is smaller than the stirring method. The longer the
        
and the more uniform the particle size distribution is. In addition,
          
time of irradiation, curing time and temperature, cross-linking agent, amount and type of catalyst.
6.4.2 Drug Loading and Encapsulation Efficiency of
Microspheres
The determination of drug content generally adopts the solvent extraction method, in which the structure of microspheres is broken to release drugs. The principle of solvent selection: maximize the dissolution of drugs and minimize that of carrier materials; ensure that solvents will not interfere with the determination. Generally, an ultraviolet spectrophotometer or high-performance liquid phase is used to detect the drug concentration [13, 41].
a
Loadingefficiency 
L

(6.11)
()
L
t
where Lt is the total weight of the drug-loading microspheres, and
La is the actual measured content of the drug in the drug-loading
microspheres.