61. Ebertz S, McGann L (2002) Osmotic parameters of cells from a bioengineered human
corneal equivalent and consequences for cryopreservation. Cryobiology 45:109–117
62. Mazur P, Koshimoto C (2002) Is intracellular
ice formation the cause of death of mouse
sperm frozen at high cooling rates? Biol
Reprod 66:1485–1490
63. Fedorow C, McGann L, Korbutt G, Rayat G,
Rajotte R, Lakey J (2001) Osmotic and cryoprotectant permeation characteristics of islet
cells isolated from the newborn pig pancreas.
Cell Transplant 10:651–659
64. Benson CT, Liu C, Gao DY, Critser ES,
Benson J, Critser J (1998) Hydraulic conductivity (Lp) and its activation energy (Ea), cryoprotectant agent permeability (Ps) and its Ea,
and reflection coefficients (sigma) for golden
hamster individual pancreatic islet cell membranes. Cryobiology 37:290–299. https://
doi.org/10.1006/cryo.1998.2124
65. Liu J, Zieger MAJ, Lakey JRT, Woods EJ,
Critser JK (1997) The determination of membrane permeability coefficients of canine pancreatic islet cells and their application to islet
cryopreservation. Cryobiology 35:1–13
66. Benson CT, Liu C, Gao DY, Critser ES, Benson JD, Critser JK (1996) Hydraulic conductivity (Lp) and its activation energy (Ea),
cryoprotectant agent permeability (Ps) and
its Ea, and reflection coefficients (ς) for
golden hamster individual pancreatic islet cell
membranes. Cryobiology 37(4):290–299
67. Liu C, Benson CT, Gao DY, Haag BW,
Mcgann LE, Critser JK (1995) Water permeability and its activation-energy for individual
hamster pancreatic islet cells. Cryobiology
32:493–502.
https://doi.org/10.1006/
cryo.1995.1049
68. Rule GS, Law P, Kruuv J, Lepock JR (1980)
Water permeability of mammalian cells as a
function of temperature in the presence of
dimethylsulfoxide: correlation with the state
of the membrane lipids. J Cell Physiol
103:407–416
69. Devireddy RV, Fahrig B, Godke RA, Leibo SP
(2004) Subzero water transport characteristics of boar spermatozoa confirm observed
optimal cooling rates. Mol Reprod Dev
67:446–457
70. Devireddy RV, Smith DJ, Bischof JC (1999)
Mass transfer during freezing in rat prostate
tumor tissue. AIChE J 43(3):639–654
71. Devireddy RV, Raha D, Bischof JC (1998)
Measurement of water transport during freezing in cell suspensions using a differential
scanning
calorimeter.
Cryobiology
36:124–155
72. Drobnis E, Crowe L, Berger T,
Anchordoguy T, Overstreet J, Crowe J
(1993) Cold shock damage is due to lipid
phase transitions in cell membranes: a demonstration using sperm as a model. J Exp Zool
265:432–437
73. Mcnaught AD, Wilkinson A (1997) IUPAC.
Compendium of chemical terminology (the
“Gold Book”), 2nd edn. Wiley Blackwell,
Oxford. ISBN 978-0865426849
74. Katkov I (2000) A two-parameter model of
cell membrane permeability for multisolute
systems. Cryobiology 40:64–83
75. Lusianti RE, Benson JD, Acker JP, Higgins
AZ (2013) Rapid removal of glycerol from
frozen-thawed red blood cells. Biotechnol
Prog 69:609–620
76. Kreyszig E (2006) Advanced engineering
mathematics, 9th edn. Wiley, New York
77. Benson JD, Chicone CC, Critser JK (2005)
Exact solutions of a two parameter flux model
and cryobiological applications. Cryobiology
50:308–316
78. Boyce W, DiPrima R (1992) Elementary differential equations and boundary value problems, 6th edn. Wiley, New York
79. Benson JD, Higgins AZ, Desai K, Eroglu A
(2018) A toxicity cost function approach to
optimal CPA equilibration in tissues. Cryobiology 80:144–155
80. Katkov I (2002) The point of maximum cell
water volume excursion in case of presence of
an
impermeable
solute.
Cryobiology
44:193–203
81. Zhang S, Chen G (2002) Analytical solution
for the extremums of cell water volume and
cell volume using a two-parameter model.
Cryobiology 44:204–209
82. Elmoazzen HY, Elliott JAW, McGann LE
(2009) Osmotic transport across cell membranes in nondilute solutions: a new nondilute solute transport equation. Biophys J
96:2559–2571
83. Prickett RC, Elliott JAW, McGann LE (2010)
Application of the osmotic virial equation in
cryobiology. Cryobiology 60:30–42
84. Benson J, Haidekker M, Benson C, Critser J
(2005) Mercury free operation of the Coulter
counter MultiSizer II sampling stand. Cryobiology 51:344–347
85. Higgins A, Karlsson J (2008) Curve fitting
approach for measurement of cellular osmotic
properties by the electrical sensing zone
method. I. osmotically inactive volume. Cryobiology 57:223–233
86. Gao DY, Benson CT, Liu C, McGrath JJ,
Critser ES, Critser JK (1996) Development
of a novel microperfusion chamber for
170
James D. Benson
corneal equivalent and consequences for cryopreservation. Cryobiology 45:109–117
62. Mazur P, Koshimoto C (2002) Is intracellular
ice formation the cause of death of mouse
sperm frozen at high cooling rates? Biol
Reprod 66:1485–1490
63. Fedorow C, McGann L, Korbutt G, Rayat G,
Rajotte R, Lakey J (2001) Osmotic and cryoprotectant permeation characteristics of islet
cells isolated from the newborn pig pancreas.
Cell Transplant 10:651–659
64. Benson CT, Liu C, Gao DY, Critser ES,
Benson J, Critser J (1998) Hydraulic conductivity (Lp) and its activation energy (Ea), cryoprotectant agent permeability (Ps) and its Ea,
and reflection coefficients (sigma) for golden
hamster individual pancreatic islet cell membranes. Cryobiology 37:290–299. https://
doi.org/10.1006/cryo.1998.2124
65. Liu J, Zieger MAJ, Lakey JRT, Woods EJ,
Critser JK (1997) The determination of membrane permeability coefficients of canine pancreatic islet cells and their application to islet
cryopreservation. Cryobiology 35:1–13
66. Benson CT, Liu C, Gao DY, Critser ES, Benson JD, Critser JK (1996) Hydraulic conductivity (Lp) and its activation energy (Ea),
cryoprotectant agent permeability (Ps) and
its Ea, and reflection coefficients (ς) for
golden hamster individual pancreatic islet cell
membranes. Cryobiology 37(4):290–299
67. Liu C, Benson CT, Gao DY, Haag BW,
Mcgann LE, Critser JK (1995) Water permeability and its activation-energy for individual
hamster pancreatic islet cells. Cryobiology
32:493–502.
https://doi.org/10.1006/
cryo.1995.1049
68. Rule GS, Law P, Kruuv J, Lepock JR (1980)
Water permeability of mammalian cells as a
function of temperature in the presence of
dimethylsulfoxide: correlation with the state
of the membrane lipids. J Cell Physiol
103:407–416
69. Devireddy RV, Fahrig B, Godke RA, Leibo SP
(2004) Subzero water transport characteristics of boar spermatozoa confirm observed
optimal cooling rates. Mol Reprod Dev
67:446–457
70. Devireddy RV, Smith DJ, Bischof JC (1999)
Mass transfer during freezing in rat prostate
tumor tissue. AIChE J 43(3):639–654
71. Devireddy RV, Raha D, Bischof JC (1998)
Measurement of water transport during freezing in cell suspensions using a differential
scanning
calorimeter.
Cryobiology
36:124–155
72. Drobnis E, Crowe L, Berger T,
Anchordoguy T, Overstreet J, Crowe J
(1993) Cold shock damage is due to lipid
phase transitions in cell membranes: a demonstration using sperm as a model. J Exp Zool
265:432–437
73. Mcnaught AD, Wilkinson A (1997) IUPAC.
Compendium of chemical terminology (the
“Gold Book”), 2nd edn. Wiley Blackwell,
Oxford. ISBN 978-0865426849
74. Katkov I (2000) A two-parameter model of
cell membrane permeability for multisolute
systems. Cryobiology 40:64–83
75. Lusianti RE, Benson JD, Acker JP, Higgins
AZ (2013) Rapid removal of glycerol from
frozen-thawed red blood cells. Biotechnol
Prog 69:609–620
76. Kreyszig E (2006) Advanced engineering
mathematics, 9th edn. Wiley, New York
77. Benson JD, Chicone CC, Critser JK (2005)
Exact solutions of a two parameter flux model
and cryobiological applications. Cryobiology
50:308–316
78. Boyce W, DiPrima R (1992) Elementary differential equations and boundary value problems, 6th edn. Wiley, New York
79. Benson JD, Higgins AZ, Desai K, Eroglu A
(2018) A toxicity cost function approach to
optimal CPA equilibration in tissues. Cryobiology 80:144–155
80. Katkov I (2002) The point of maximum cell
water volume excursion in case of presence of
an
impermeable
solute.
Cryobiology
44:193–203
81. Zhang S, Chen G (2002) Analytical solution
for the extremums of cell water volume and
cell volume using a two-parameter model.
Cryobiology 44:204–209
82. Elmoazzen HY, Elliott JAW, McGann LE
(2009) Osmotic transport across cell membranes in nondilute solutions: a new nondilute solute transport equation. Biophys J
96:2559–2571
83. Prickett RC, Elliott JAW, McGann LE (2010)
Application of the osmotic virial equation in
cryobiology. Cryobiology 60:30–42
84. Benson J, Haidekker M, Benson C, Critser J
(2005) Mercury free operation of the Coulter
counter MultiSizer II sampling stand. Cryobiology 51:344–347
85. Higgins A, Karlsson J (2008) Curve fitting
approach for measurement of cellular osmotic
properties by the electrical sensing zone
method. I. osmotically inactive volume. Cryobiology 57:223–233
86. Gao DY, Benson CT, Liu C, McGrath JJ,
Critser ES, Critser JK (1996) Development
of a novel microperfusion chamber for
170
James D. Benson