32. Shardt N, Al-Abbasi KK, Yu H, Jomha NM,
McGann LE, Elliott JAW (2016) Cryoprotectant kinetic analysis of a human articular cartilage vitrification protocol. Cryobiology
73:80–92
33. Jomha NM, Elliott JA, Law GK, Maghdoori B,
Forbes JF, Abazari A, Adesida AB, Laouar L,
Zhou X, McGann LE (2012) Vitrification of
intact human articular cartilage. Biomaterials
33:6061–6068
34. Bhowmick S, Khamis CA, Bischof JC (1998)
Response of a liver tissue slab to a hyperosmotic sucrose boundary condition: Microscale cellular and vascular level effects. Ann NY Acad Sci
858:147–162
35. Cui ZF, Dykhuizen RC, Nerem RM, Sembanis
A (2002) Modeling of cryopreservation of
engineered tissues with one-dimensional
geometry. Biotechnol Prog 18:354–361
36. Xu X, Cui ZF (2003) Modeling of the
co-transport of cryoprotective agents in a
porous medium as a model tissue. Biotechnol
Prog 19:972–981
37. Benson JD, Benson CT, Critser JK (2014)
Mathematical model formulation and validation of water and solute transport in whole
hamster pancreatic islets. Math Biosci
254:64–75
38. Elliott JAW, Prickett RC, Elmoazzen HY, Porter KR, McGann LE (2007) A multisolute
osmotic virial equation for solutions of interest
in biology. J Phys Chem B 111:1775–1785
39. Elmoazzen HY, Elliott JA, McGann LE (2009)
Osmotic transport across cell membranes in
nondilute solutions: a new nondilute solute
transport equation. Biophys J 96:2559–2571
40. Shaozhi Z, Pegg DE (2007) Analysis of the
permeation of cryoprotectants in cartilage.
Cryobiology 54:146–153
41. Benson J, Abrams J (2018) An agent based
model of cell level toxicity accumulation and
intercellular mechanics during cpa equilibration in ovarian follicles. Cryobiology
85:153–154
42. Warner RM, Higgins AZ (2018) Biomechanical
model of cryoprotectant transport in tissues with
high cell density. Cryobiology 85:154–154
188
Ross M. Warner and Adam Z. Higgins
McGann LE, Elliott JAW (2016) Cryoprotectant kinetic analysis of a human articular cartilage vitrification protocol. Cryobiology
73:80–92
33. Jomha NM, Elliott JA, Law GK, Maghdoori B,
Forbes JF, Abazari A, Adesida AB, Laouar L,
Zhou X, McGann LE (2012) Vitrification of
intact human articular cartilage. Biomaterials
33:6061–6068
34. Bhowmick S, Khamis CA, Bischof JC (1998)
Response of a liver tissue slab to a hyperosmotic sucrose boundary condition: Microscale cellular and vascular level effects. Ann NY Acad Sci
858:147–162
35. Cui ZF, Dykhuizen RC, Nerem RM, Sembanis
A (2002) Modeling of cryopreservation of
engineered tissues with one-dimensional
geometry. Biotechnol Prog 18:354–361
36. Xu X, Cui ZF (2003) Modeling of the
co-transport of cryoprotective agents in a
porous medium as a model tissue. Biotechnol
Prog 19:972–981
37. Benson JD, Benson CT, Critser JK (2014)
Mathematical model formulation and validation of water and solute transport in whole
hamster pancreatic islets. Math Biosci
254:64–75
38. Elliott JAW, Prickett RC, Elmoazzen HY, Porter KR, McGann LE (2007) A multisolute
osmotic virial equation for solutions of interest
in biology. J Phys Chem B 111:1775–1785
39. Elmoazzen HY, Elliott JA, McGann LE (2009)
Osmotic transport across cell membranes in
nondilute solutions: a new nondilute solute
transport equation. Biophys J 96:2559–2571
40. Shaozhi Z, Pegg DE (2007) Analysis of the
permeation of cryoprotectants in cartilage.
Cryobiology 54:146–153
41. Benson J, Abrams J (2018) An agent based
model of cell level toxicity accumulation and
intercellular mechanics during cpa equilibration in ovarian follicles. Cryobiology
85:153–154
42. Warner RM, Higgins AZ (2018) Biomechanical
model of cryoprotectant transport in tissues with
high cell density. Cryobiology 85:154–154
188
Ross M. Warner and Adam Z. Higgins