The application of the evolutional conway game for the analysis of non-linear biodynamical phenomena

Abstract

Cryopreservation is a well-established technique for long-term storage of viable cells and tissues. However, in recent years, application of established cryobiological principles to the preservation of multicellular tissues and organs has demanded considerable attention to ways of circumventing the deleterious effects of ice and thermal stresses in bulky tissues. As part of a multidisciplinary research program designed to study the interactions of thermo-physical events with tissue preservation, we report here on the implementation of a slow cooling (3 °C/min) and slow warming (62 °C/min) regimen towards scale-up of vitreous preservation of large tissue samples. Specifically, the correlation of thermo-physical events during vitrification of carotid artery segments with function recovery is reported using marginal thermal conditions for achieving vitrification in bulky samples. Moreover, the outcome is compared with a similar study reported previously using a 3-fold higher rate of rewarming (186 ± 13 °C/min). Tissue vitrification using an 8.4 M cryoprotectant cocktail solution (VS55) was achieved in 1 ml samples by imposing a low (2.6 ± 0.1 °C/min) cooling rate, between −40 and −100 °C, and a low rewarming rate (62 ± 4 °C/min) between −100 and −40 °C. Following cryoprotectant removal, the artery segments were cut into 3–4 mm rings for function testing on a contractility apparatus by measuring isometric responses to four agonist and antagonists (norepinephrine, phenylepinephrine, calcium ionophore and sodium nitroprusside). In addition, non-specific metabolic function of the vessel rings was determined using the REDOX indicator alamarBlue. Contractile function, normalized to untreated control samples, in response to the agonists norepinephrine and phenylepinephrine was significantly better in the slowly rewarmed group of carotid segments (74 ± 9% and 62 ± 11%, respectively) than for the more rapidly warmed group 31 ± 7% and 45 ± 15%, respectively). However, EC50 sensitivities were not significantly different between the groups. Thermo-physical events such as ice formation and fractures were monitored throughout the cooling and warming phases using cryomacroscopy with the aid of a purpose-built borescope device. This technique allowed a direct observation of the visual impact of ice formation on specific zones along the blood vessel segment where, in most cases, no ice formation or fractures were observed in the vicinity of the artery segments. However, in specific instances when some ice crystallization was observed to impact the artery segment, the subsequent testing of function revealed a total loss of contractility. The successful vitrification of blood vessel segments using marginal conditions of slow cooling and rewarming, provide essential information for the development of scale-up protocols that is necessary when clinically relevant size samples need to be cryopreserved in an essentially ice-free state. This information can further be integrated into computer simulations of heat transfer and thermo-mechanical stress, where the slowest cooling rate anywhere in the simulated domain must exceed the critical values identified in the current study.