46. Velegol D, Thwar PK (2001) Analytical model for the effect of surface charge nonuniformity
on colloidal interactions. Langmuir 17:7687–7693. doi:10.1021/la010634z
47. Czarnecki J (1985) The effects of surface inhomogeneities on the interactions in colloidal
systems and colloid stability. Adv Colloid Interface Sci 24:283–319. doi:10.1016/0001-8686
(85)80035-X
48. Grant M, Saville D (1995) Electrostatic interactions between a nonuniformly charged sphere
and a charged surface. J Colloid Interface Sci 171(1):35–45. doi:10.1006/jcis.1995.1148
49. Stankovich J, Carnie SL (1999) Interactions between two spherical particles with nonuniform
surface potentials: the linearized poissonboltzmann theory. J Colloid Interface Sci 216
(2):329–347. doi:10.1006/jcis.1999.6326
50. Schowalter WR, Eidsath AB (2001) Brownian flocculation of polymer colloids in the
presence of a secondary minimum. Proc Natl Acad Sci USA 98:3644–3651. doi:10.1073/
pnas.061028498
51. Podgornik R, Harries D, DeRouchey J, Strey HH, Parsegian VA (2008) Interactions in
macromolecular complexes used as nonviral vectors for gene delivery. In: Gene and cell
therapy: therapeutic mechanisms and strategies. CRC, Burlington
52. Morales V, Anta JA, Lago S (2003) Integral equation prediction of reversible coagulation in
charged colloidal suspensions. Langmuir 19:475–482
53. de Gennes P (1981) Polymer solutions near an interface. 1. Adsorption and depletion layers.
Macromolecules 14:1637–1644
54. de Gennes P (1982) Polymer solutions near an interface. 2. Interaction between two plates
carrying adsorbed polymer layers. Macromolecules 15:492–500
55. Runkana V, Somasundaran P (2007) Mathematical modeling of coagulation and flocculation
of colloidal suspensions incorporating the influence of surface forces. In: Colloid stability and
application in pharmacy. Colloid and interface science series, vol 3. Wiley-VCH, Weinheim
56. Runkana V, Somasundaran P, Kapur P (2006) A population balance model for flocculation of
colloidal suspensions by polymer bridging. Chem Eng Sci 61:182–191
57. Somasundaran P, Runkana V (2009) Aggregation of colloids: recent developments in population balance modeling. In: Highlights in colloid science. Wiley-VCH, Weinheim
58. Grier DG, Behrens SH (2001) Interactions in colloidal suspensions: electrostatics, hydrodynamics and their interplay. In: Electrostatic effects in biophysics and soft matter. Kluwer,
Dordrecht
59. Derjaguin B, Muller V (1967) Slow coagulation of hydrophobic colloids. Dokl Akad Nauk
SSSR 176:738–741
60. Spielman LA (1970) Viscous interactions in brownian coagulation. J Colloid Interface Sci
33(4):562–571. doi:10.1016/0021-9797(70)90008-1
61. Brenner H (1961) The slow motion of a sphere through a viscous fluid towards a plane
surface. Chem Eng Sci 16(34):242–251. doi:10.1016/0009-2509(61)80035-3
62. Honig E, Roebersen G, Wiersema P (1971) Effect of hydrodynamic interaction on the
coagulation rate of hydrophobic colloids. J Colloid Interface Sci 36(1):97–109.
doi:10.1016/0021-9797(71)90245-1
63. Kovalchuk N, Starov V (2011) Aggregation in colloidal suspensions: effect of colloidal
forces and hydrodynamic interactions. Adv Colloid Interface Sci. doi:10.1016/j.
cis.2011.05.009
64. Cao X, Cummins H, Morris J (2012) Hydrodynamic and interparticle potential effects on
aggregation of colloidal particles. J Colloid Interface Sci 368(1):86–96. doi:10.1016/j.
jcis.2011.11.050
65. Furukawa A, Tanaka H (2010) Key role of hydrodynamic interactions in colloidal gelation.
Phys Rev Lett 104:245702. doi:10.1103/PhysRevLett. 104.245702
66. Riese DO, Wegdam GH, Vos WL, Sprik R, Fenistein D, Bongaerts JH, Gr€ ubel G (2000)
Effective screening of hydrodynamic interactions in charged colloidal suspensions. Phys Rev
Lett 85(25):5460–5464
92
N.I. Lebovka
on colloidal interactions. Langmuir 17:7687–7693. doi:10.1021/la010634z
47. Czarnecki J (1985) The effects of surface inhomogeneities on the interactions in colloidal
systems and colloid stability. Adv Colloid Interface Sci 24:283–319. doi:10.1016/0001-8686
(85)80035-X
48. Grant M, Saville D (1995) Electrostatic interactions between a nonuniformly charged sphere
and a charged surface. J Colloid Interface Sci 171(1):35–45. doi:10.1006/jcis.1995.1148
49. Stankovich J, Carnie SL (1999) Interactions between two spherical particles with nonuniform
surface potentials: the linearized poissonboltzmann theory. J Colloid Interface Sci 216
(2):329–347. doi:10.1006/jcis.1999.6326
50. Schowalter WR, Eidsath AB (2001) Brownian flocculation of polymer colloids in the
presence of a secondary minimum. Proc Natl Acad Sci USA 98:3644–3651. doi:10.1073/
pnas.061028498
51. Podgornik R, Harries D, DeRouchey J, Strey HH, Parsegian VA (2008) Interactions in
macromolecular complexes used as nonviral vectors for gene delivery. In: Gene and cell
therapy: therapeutic mechanisms and strategies. CRC, Burlington
52. Morales V, Anta JA, Lago S (2003) Integral equation prediction of reversible coagulation in
charged colloidal suspensions. Langmuir 19:475–482
53. de Gennes P (1981) Polymer solutions near an interface. 1. Adsorption and depletion layers.
Macromolecules 14:1637–1644
54. de Gennes P (1982) Polymer solutions near an interface. 2. Interaction between two plates
carrying adsorbed polymer layers. Macromolecules 15:492–500
55. Runkana V, Somasundaran P (2007) Mathematical modeling of coagulation and flocculation
of colloidal suspensions incorporating the influence of surface forces. In: Colloid stability and
application in pharmacy. Colloid and interface science series, vol 3. Wiley-VCH, Weinheim
56. Runkana V, Somasundaran P, Kapur P (2006) A population balance model for flocculation of
colloidal suspensions by polymer bridging. Chem Eng Sci 61:182–191
57. Somasundaran P, Runkana V (2009) Aggregation of colloids: recent developments in population balance modeling. In: Highlights in colloid science. Wiley-VCH, Weinheim
58. Grier DG, Behrens SH (2001) Interactions in colloidal suspensions: electrostatics, hydrodynamics and their interplay. In: Electrostatic effects in biophysics and soft matter. Kluwer,
Dordrecht
59. Derjaguin B, Muller V (1967) Slow coagulation of hydrophobic colloids. Dokl Akad Nauk
SSSR 176:738–741
60. Spielman LA (1970) Viscous interactions in brownian coagulation. J Colloid Interface Sci
33(4):562–571. doi:10.1016/0021-9797(70)90008-1
61. Brenner H (1961) The slow motion of a sphere through a viscous fluid towards a plane
surface. Chem Eng Sci 16(34):242–251. doi:10.1016/0009-2509(61)80035-3
62. Honig E, Roebersen G, Wiersema P (1971) Effect of hydrodynamic interaction on the
coagulation rate of hydrophobic colloids. J Colloid Interface Sci 36(1):97–109.
doi:10.1016/0021-9797(71)90245-1
63. Kovalchuk N, Starov V (2011) Aggregation in colloidal suspensions: effect of colloidal
forces and hydrodynamic interactions. Adv Colloid Interface Sci. doi:10.1016/j.
cis.2011.05.009
64. Cao X, Cummins H, Morris J (2012) Hydrodynamic and interparticle potential effects on
aggregation of colloidal particles. J Colloid Interface Sci 368(1):86–96. doi:10.1016/j.
jcis.2011.11.050
65. Furukawa A, Tanaka H (2010) Key role of hydrodynamic interactions in colloidal gelation.
Phys Rev Lett 104:245702. doi:10.1103/PhysRevLett. 104.245702
66. Riese DO, Wegdam GH, Vos WL, Sprik R, Fenistein D, Bongaerts JH, Gr€ ubel G (2000)
Effective screening of hydrodynamic interactions in charged colloidal suspensions. Phys Rev
Lett 85(25):5460–5464
92
N.I. Lebovka