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In the previous two manuscripts we outlined the general theory of heat and mass transport in a cell-liquid-ice system with general boundaries and nonideal and nondilute assumptions. Here we simplify the models considerably by presenting a reduction to a spherically symmetric system-a spherical cell with an encroaching spherical ice front. We also reduce to linear approximations of the nonideal nondilute models, essentially assuming dilute and ideal conditions. We derive the resulting nondimensional combined heat and mass transport model for a ternary solution and present numerical solutions. We include an analysis of the effects of varying some nondimensional parameters on rates of ice growth with comments on the necessity of models that account for spatially varying quantities in cryobiology.
This article was published in the following journal.
Modeling coupled heat and mass transport in biological systems is critical to the understanding of cryobiology. In Part I of this series we derived the transport equation and presented a general therm...
Modeling a cell's response to encroaching ice has informed the development of cryopreservation protocols for four decades. It has been well documented that knowledge of the cellular state as a functio...
The formation and equilibria of Sr, Mg, Ca, Ba, and Y (M) complexes with a mixed-chelator comprising two biodegradable chelators (GLDA, L, 2-[bis(carboxymethyl)amino] pentanedioic acid; HIDS, L, 2-(1,...
The present work describes an experimental study and the thermodynamic modeling for the solid-liquid phase diagram of an ionic liquid quaternary system constituted by hexafluorophosphate ([PF6]-) as t...
This study evaluates the potential use of a new limestone calcined clay cement (LC) for stabilization/solidification of zinc contaminated soil. LC is a new ternary blend manufactured by the replacemen...
Vitrification is a modern cryopreservation technique based on sudden cooling of reproductive cells to a temperature of -196 ° C in seconds that produces glass-like solidification of a sol...
Malnutrition and underfeeding are major challenges in caring for critically ill patients. Continuous feeding were thought to be better tolerated by patients with the limited absorptive gut...
The purpose of the current study is to determine if pre-exposure through video modeling will enhance testing compliance in a population of children who are receiving a diagnostic evaluatio...
The investigator proposes to perform a phase I/II study comparing two nutraceuticals and placebo that target mediators identified in the investigator's prior dynamic modeling study of Gulf...
In this proof-of-concept study, the safety and efficacy of a solution formulation will be investigated in male subjects with androgenetic alopecia (AGA) after twice daily application for u...
Hypertonic sodium chloride solution. A solution having an osmotic pressure greater than that of physiologic salt solution (0.9 g NaCl in 100 ml purified water).
The study of biological materials or systems subjected to temperatures below their normal range.
Organizations established by endowments with provision for future maintenance.
The pressure required to prevent the passage of solvent through a semipermeable membrane that separates a pure solvent from a solution of the solvent and solute or that separates different concentrations of a solution. It is proportional to the osmolality of the solution.
Stipends or grants-in-aid granted by foundations or institutions to individuals for study.