Epitaxial Growth of a Thin Layer of Putative Cancer Cells under Limited Resources and in the Presence of an Alkylating Agent.

The dynamics of the Eden cluster in a 32x32 lattice is implemented using a stochastic model. A single-type of cells solid tumor is assumed. Duplication is probabilistic, and occurs when there is room in the immediate surroundings of a cell, otherwise the cell is inhibited by contact. The growth is epitaxial, the shape of the cluster is disk-like; the ratio between the numbers of perimeter cells; and bulk cells decreases as the cluster grows. Percolation is flagged by an inflection in the rate of growth. We assume that the inflection point actually flags a shortage of nutrients, thereafter the rate of growth decreases to zero. Cancer cells in culture, when deprived of nutrients, actually exhibit a similar behavior. Under the logistic hypothesis, the lattice contains nutrients to sustain the growth up to 1024 cells. The model is expanded to include a drug that pollutes the environment. The drug is an alkylating agent that hinders duplication, eventually causing the death of the cell. The logistic equation accounts for drug consumption. The probability of duplication with the drug decreases as the drug is consumed, eventually leading to relapse. Relapses and survival times are investigated as a function of the dose injected.

Cognitive aspects of chaos in random networks.

A special case of deterministic chaos that is independent of the architecture of the connections has been observed in a computer model of a purely excitatory neuronal network. Chaos onsets when the level of connectivity is critically low. The results indicate a typical period-doubling route to chaos as the connectivity decreases. A cognitive interpretation of such type of chaos, based on information theory and phase-transitions, is proposed.

The amelioration of olfactory acuity upon sexual maturation might affect food preferences.

Upon sexual maturation, olfactory acuity in women ameliorates and starts oscillating across the cycle. During ovulation, mean olfactory threshold is 30 times lower than during bleeding. Interestingly, menstruated women undergo maleodorant trimethylaminuria. We argued that olfactory amelioration during ovulation might concur to a mating strategy, whereas olfactory impairment during bleeding might protect women against self-refusal. Testosterone and its 17ß-estradiol derivative might be responsible for the synchronization of these menstrual events. Furthermore, we posed the question whether olfactory detection amelioration upon sexual maturation might provoke a change in food preferences, for instance a reduction in fish consumption. A preliminary survey in Italy provided encouraging results: 15-44 year-old women have lower fish consumption than 3-14 year-old girls. Surprisingly, men exhibited the same behaviour, so new olfactory tests as well as testosterone measurements are under way.

The selection of serum-independent PC12 cells for a more-reliable manganese cytotoxicity test.

A major issue concerning the protocols of heavy metal cytotoxicity tests with PC12 cells was the hypothesis that serum in the culture medium might sequester the metal, thus altering the results obtained. However, serum withdrawal impairs the viability of PC12 cells themselves, thus impeding cytotoxicity testing in the absence of serum. In this study, we repeatedly selected undifferentiated, totally non-adherent PC12 cells in Petri dishes. Surprisingly, we discovered that these cells could survive and proliferate in serum-free medium. Moreover, features such as NGF-responsiveness, resazurin reduction potential, doubling rate, protein content, and basal caspase-3 enzyme activity, were equivalent to those exhibited by standard PC12 cultures. Further experiments aimed at fully characterising these serum-independent PC12 cells are in progress. These cells enabled cytotoxicity experiments to be conducted with manganese, both in serum-supplemented and in serum-deprived medium. The results demonstrated that serum removal decreased the LC50 of manganese from 250microM to 32microM, without affecting the internalisation of the metal. The data exclude an early competitive effect of serum on metal internalisation; rather, they suggest a late protective mechanism mediated by serum against the cytotoxic effect of the already-internalised metal.

Dynamics of cell membrane passive depolarization: a phase portrait.

Does a persistent blockage of the ionic pumps bring cell membrane voltage to zero? This apparently trivial question of basic cellular Biology stirred up an intriguing problem of nonlinear dynamics. A 3-ion model based on continuity and charge conservation proves that membrane voltage actually sets on a negative value, meaning that chemical equilibrium is never reached, rather an inversion of the Na+ concentration gradient occurs, usually hours after the blockage of the pumps. Experimental tests carried out with PC12 cells incubated with Oubaine for a period of 24 hours show an increase of cytosolic Na+ of about 266 mM/l with respect to a control sample. The result is compatible with an inversion of the Na+ gradient, which eventually brings the membrane voltage to a negative value. Reactivation of the Na+-K+ pumps even after a prolonged period of blockage (late repolarization) should lead to repolarization and revival of the cell. In the 3D space of the ionic concentrations, the dynamics of passive depolarization reveals an intriguing topology, all trajectories being stacked in parallel planes, each set ending to a unique fixed point via an infinitely dense set of lines. The dynamics of repolarization has a different phase portrait, especially in the case of late repolarization. Thus, a sequence of depolarization- repolarization cycles may result in a path wandering in the phase space, or in a closed loop, depending on the timing of the sequence.