The statistical bootstrap model

A review is presented of the statistical bootstrap model of Hagedorn and Frautschi. This model is an attempt to apply the methods of statistical mechanics in high-energy physics, while treating all hadron states (stable or unstable) on an equal footing. A statistical calculation of the resonance spectrum on this basis leads to an exponentially rising level density ρ(m) ~ cm^-3 e^βom at high masses.

In the present work, explicit formulae are given for the asymptotic dependence of the level density on quantum numbers, in various cases. Hamer and Frautschi's model for a realistic hadron spectrum is described.

A statistical model for hadron reactions is then put forward, analogous to the Bohr compound nucleus model in nuclear physics, which makes use of this level density. Some general features of resonance decay are predicted. The model is applied to the process of NN annihilation at rest with overall success, and explains the high final state pion multiplicity, together with the low individual branching ratios into two-body final states, which are characteristic of the process. For more general reactions, the model needs modification to take account of correlation effects. Nevertheless it is capable of explaining the phenomenon of limited transverse momenta, and the exponential decrease in the production frequency of heavy particles with their mass, as shown by Hagedorn. Frautschi's results on "Ericson fluctuations" in hadron physics are outlined briefly. The value of β_o required in all these applications is consistently around [120 MeV]^-1 corresponding to a "resonance volume" whose radius is very close to ƛ_π. The construction of a "multiperipheral cluster model" for high-energy collisions is advocated.

The ionic basis of frequency selectivity in hair cells of the bullfrog's sacculus

Hair cells from the bull frog's sacculus, a vestibular organ responding to substrate-borne vibration, possess electrically resonant membrane properties which maximize the sensitivity of each cell to a particular frequency of mechanical input. The electrical resonance of these cells and its underlying ionic basis were studied by applying gigohm-seal recording techniques to solitary hair cells enzymatically dissociated from the sacculus. The contribution of electrical resonance to frequency selectivity was assessed from microelectrode recordings from hair cells in an excised preparation of the sacculus.

Electrical resonance in the hair cell is demonstrated by damped membrane-potential oscillations in response to extrinsic current pulses applied through the recording pipette. This response is analyzed as that of a damped harmonic oscillator. Oscillation frequency rises with membrane depolarization, from 80-160 Hz at resting potential to asymptotic values of 200-250 Hz. The sharpness of electrical tuning, denoted by the electrical quality factor, Q_e, is a bell-shaped function of membrane voltage, reaching a maximum value around eight at a membrane potential slightly positive to the resting potential.

In whole cells, three time-variant ionic currents are activated at voltages more positive than -60 to -50 mV; these are identified as a voltage-dependent, non-inactivating Ca current (I_ca), a voltage-dependent, transient K current (I_a), and a Ca-dependent K current (I_c). The C channel is identified in excised, inside-out membrane patches on the basis of its large conductance (130-200 pS), its selective permeability to Kover Na or Cl, and its activation by internal Ca ions and membrane depolarization. Analysis of open- and closed-lifetime distributions suggests that the C channel can assume at least two open and three closed kinetic states.

Exposing hair cells to external solutions that inhibit the Ca or C conductances degrades the electrical resonance properties measured under current-clamp conditions, while blocking the A conductance has no significant effect, providing evidence that only the Ca and C conductances participate in the resonance mechanism. To test the sufficiency of these two conductances to account for electrical resonance, a mathematical model is developed that describes I_ca, I_c, and intracellular Ca concentration during voltage-clamp steps. I_ca activation is approximated by a third-order Hodgkin-Huxley kinetic scheme. Ca entering the cell is assumed to be confined to a small submembrane compartment which contains an excess of Ca buffer; Ca leaves this space with first-order kinetics. The Ca- and voltage-dependent activation of C channels is described by a five-state kinetic scheme suggested by the results of single-channel observations. Parameter values in the model are adjusted to fit the waveforms of I_ca and I_c evoked by a series of voltage-clamp steps in a single cell. Having been thus constrained, the model correctly predicts the character of voltage oscillations produced by current-clamp steps, including the dependencies of oscillation frequency and Q_e on membrane voltage. The model shows quantitatively how the Ca and C conductances interact, via changes in intracellular Ca concentration, to produce electrical resonance in a vertebrate hair cell.

Efeitos da suplementação oral com L-arginina e L-glutamina sobre a próstata ventral de ratos submetidos à irradiação

O objetivo deste trabalho foi verificar o possível efeito protetor da L-glutamina e da L-arginina sobre a próstata ventral de ratos quando administradas por gavagem. Procurou-se simular as condições clinicas de pacientes submetidos à radioterapia pélvica tendo como órgão alvo outro órgão pélvico que não a próstata. Foram analisados os efeitos desta irradiação sobre a próstata considerando este órgão como normal. Foram utilizados ratos Wistar divididos em quatro grupos: Controle, animais não submetidos à irradiação (n= 10); Irradiado, submetidos à irradiação abdominal e sem suplementação adicional de aminoácido por 21 dias (n= 10); Irradiado + Lglutamina, submetidos à irradiação abdominal e com suplementação adicional de L- glutamina por 21 dias (n= 10); e Irradiado + L-arginina, submetidos à irradiação abdominal e com suplementação adicional de L- arginina por 21 dias (n= 9). Os grupos foram mantidos em condições padrão de laboratório durante todas as etapas do experimento. Os animais submetidos à irradiação abdominal receberam uma dose única de 1000 cGy no dia 8 da experimentação. A Lglutamina e a L-arginina foram dissolvidas em água destilada e administrada por gavagem através da agulha IC-810. As próstatas foram removidas e processadas para inclusão em parafina. Foram estudados os seguintes parâmetros: estrutura acinar (área dos ácinos e altura do epitélio) e colágeno analisados por métodos morfométricos e peso corporal. O ganho de peso nos grupos suplementados foi significativamente maior se comparado ao grupo irradiado. Houve redução da altura do epitélio no grupo irradiado quando comparado ao controle. A altura do epitélio no grupo suplementado com L-arginina foi significativamente maior do que nos grupos irradiado e suplementado com L-glutamina. Houve diminuição, de aproximadamente 18%, da área dos ácinos no grupo suplementado com L-glutamina. Já no grupo suplementado com Larginina o valor foi similar ao do controle. O efeito da L-glutamina sobre o parênquima prostático foi o de manter proporcionalmente o colágeno, preservando a integridade da matriz extracelular. No grupo suplementado com L-arginina, apesar da discreta redução na distribuição proporcional de colágeno este também manteve índices semelhantes ao do controle. A radiação abdominal promoveu algumas modificações estruturais na próstata ventral de ratos. Essas modificações podem ser parcialmente prevenidas pela suplementação oral com L-glutamina e de L-arginina.