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44
The Fundamentals and Powerful Tool for Nano Physical Pharmaceutics
1.4.3.3 Characterization of self-assembly of polymer
aggregates in solutions
Figure 1.13 describes the self-assembly process during which the polymers aggregate from small particles into large particles with the increase in temperature, and the number of chains in the
    
be used to indicate the in-suit inter-particles/chains aggregations process or self-assembly process in solutions [63].
Figure 1.13 Polymer self-assembly with temperature increasing. Reproduced
with permission from [63].
1.4.3.4 Characterization of the morphology of nanoparticles
in physiological media
Figure 1.14 shows the change in particle size and morphology of nanoparticles characterized by light scattering in our previous work. With the increase of the surface chain density, the stability of particles increases, forming a single particle, which cannot be adsorbed by serum proteins. The well-separated peaks of BSA and delivery systems indicate the stability of the drug delivery in serum solution with high concentration. This is a useful evaluation method for evaluating the in vivo serum stability of nanoformulations.
The Powerful Tool for Study of Nano Physical Pharmaceutics
45
Figure 1.14 Characterizaon of the morphology of nanoparcles in
physiological media by light scaering. Reproduced with permission from [64].
1.4.3.5 Well-defined nanogel in-suit preparation by radical
co-polymerization and indicated by LLS
Figure 1.15 shows the nanogel with core–shell structure, narrow
       
by light scattering in our group. The core and shell of nanogel in the TEM image is quantitatively analyzed by red circle (core) and blue circle (shell) with marked radius R, R
core
, R
shell
, the density of
core and shell (r
core
, r
shell
) on left panel. Then in the SLLS testing,

line as introducing the microstructural parameters into the function of p(q), which indicates that the experimental data is well observed with the theoretic curve. On the other hand, the
R
core
and R
shell
can be designed by tuning the feeding ratio of PEI
and PNIPAM monomers (A = W
PEI/WNIPAM
) by Equation 1.80 in
46
The Fundamentals and Powerful Tool for Nano Physical Pharmaceutics
the reaction [65]. Thus, according to Equation 1.80, the core–shell structure can be easily tailored in the experiment.
R
g
(Ax
2
−+
(
1 Ax
5
.
3
)
+1
)
=
05
(1.80)
R
h
51( + A)(
1 − x
2
)
Figure 1.15 Nanogel with core–shell structure tailoring by LLS in our group.
Figure 1.16 Correlaons between the NPP and the in vitro/vivo performance.
Where: fZ: Surface potenal; r
surface chain
: Surface chain density; r
charge
: Surface charge density; A2: Second virial eciency; CMC: Crical micellizaon concentraon; D: Diameter; EPR: Enhanced permeability and retenon; HLB: Hydrophilic lipophilic balance; N
agg
: Aggregaon number; N
Chain
: Chain number
in parcle; t
1/2
: Half me of circulaon; T: Temperature; V
core
: Core volume.
References
47
1.4.3.6 NPP of dierent delivery systems obtained by SLLS
      
delivery systems and the in vitro/vivo performance, which was conducted and summarized by our group. These key parameters, which are the basis of NPP discussed in this book, are discussed in detail in the following chapters.
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Chapter 2
Nano Physical Pharmaceutics of Micelle-Based Systems
Yening Xia, Ruochen Huang, Fei Duan, and Wei Li
Department of Nanomedicine, Naval Medical University Shanghai 200433, China
liwei_dds@163.com

2.1 Classification of Micelle

Micelle refers to the ordered aggregate obtained by self-assembly when the concentration of surfactant in the solution exceeds critical micelle concentration (CMC). The compounds that form micelles are generally amphiphilic molecules, which contain both hydrophilic and hydrophobic chemical structures [1–2]. A single surfactant molecule is surrounded by water molecules after being dissolved in water. The hydrophilic group in the molecule is attracted by water and the hydrophobic group is repelled by water, so it is
          
hydrophobic group to the air. When the concentration of the surfactant increases to the point where the surface of the solution reaches saturation and cannot continue to be adsorbed, it transfers to the inside of the solution. After reaching a certain concentration, the hydrophobic groups in the molecule attract each other and
Nano Physical Pharmaceucs
Edited by Wei Li Copyright © 2025 Jenny Stanford Publishing Pte. Ltd.
ISBN 978-981-4968-52-2 (Hardcover), 978-1-003-51393-3 (eBook)
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52
Nano Physical Pharmaceutics of Micelle-Based Systems
associate into groups, while the hydrophilic groups extend into the water and combine with the water molecules to form aggregates with hydrophobic kernel and hydrophilic shell, namely micelles. Micelles and monomers in the solution are in kinetic equilibrium, constantly breaking and recombining. A micelle is generally formed by dozens or hundreds (50~200) of surfactant molecules. The number of surfactant molecules in micelles is called the aggregation number (m), and the aggregation number is multiplied by the relative molecular mass of the surfactant to obtain the micelle amount, that is, the relative micelle mass [1, 3].
   
surfactants according to the dissociation properties of their polar groups. Table 2.1 lists the chemical structures of several common surfactant hydrophilic groups [4]. The ionic surfactants usually contain functional groups, such as thiol, ester, sulfate, sulfonate, phosphate and amide. In non-ionic surfactants, the hydrophilic group does not dissociate in aqueous solution, and these are commonly polyethylene glycol (PEG, (–CH2CH2O–)n)-based structures. Micelles

Table 2.1 Chemical structures of common surfactant hydrophilic groups [4]
Name Type of Surfactant Structure
Carboxylate Anionic
R—(COO
–
)nM
n+
Sulfonate Anionic R—SO
3
–
M
+
Thiocarboxylate Anionic -O3S—RCOO—M
2+
Ammonium salt Cationic
 Cationic
Phosphate Cationic
R
R N R
R
R S
R
2
R
P R
R
R
1
X
2
3
R
X
1
1
X
2
3
Classification of Micelle
53
Table 2.1 (Continued)
Name
Pyridine
Type of Surfactant
Cationic
Structure
Polyoxyethylene fatty alcohol ether
Polyoxyethylene ester
Polyoxyethylene alkyl thioether
Triglycine
Non-ionic
Non-ionic
Non-ionic
Amphoteric
R-(OCH
2CH2)n
-OH
R-COO-(CH
2CH2)n
-OH
R-COO-(CH
2CH2O)n
-OH

2.1.1 Ionic Surfactant Micelle

The hydrophobic portions of surfactants attract each other and associate with each other to form the inner core, while the hydrophilic groups are arranged on the surface of the core, and
    
discovered that micelles were spherical when the concentration of surfactant was slightly greater than CMC without the presence
         
that micelles are spherical and the degree of association remains unchanged when the concentration is greater than CMC within a certain range. The shape also may vary from spherical depending upon the chain length and the area occupied per polar group on the surface. Debye et al. found that micelles are rod-shaped in concentrated solution, which has higher thermodynamic stability. When the concentration increases further, micelles aggregate as bundles or superimpose as layers [6].

2.1.2 Non-Ionic Surfactant Micelle

        
For example, the micelle is reticulated when the degree of
R N X
CH2COOH
N
R
CH
CH
2
CHOO
2
COOH