Mathematical analysis of cell-target encounter rates in two dimensions. The effect of chemotaxis.

The process by which cells encounter their targets is the first step of a number of cell functions involved in the immune response, such as cell-mediated cytotoxicity and phagocytic ingestion of foreign material. In many instances, this encounter may be rate-limiting, and therefore it is important to understand what factors influence the encounter rate. One key aspect of cell-target encounter is the motility behavior of the cell in the vicinity of a target. This movement may be entirely random, or there may be a directed, or chemotactic, component to it. In this paper we focus on the effects of cell motility properties, and particularly the chemotactic directional bias, on the rate of cell-target encounter. Specifically, we derive an expression for the mean encounter time of cells that meet targets in two dimensions as a function of the cells' directional orientation bias. We show that a modest degree of bias can reduce the mean encounter time by orders of magnitude, while nearly perfect directional bias offers little additional benefit. We illustrate the application of these results to a particular example system: alveolar macrophages removing inhaled particles and bacteria from the lung surface.     

Effects of hypoxia on lung mechanics in the newborn cat

The present study was designed to investigate the effects of hypoxia on lung mechanics in the newborn cat and to determine if vagal efferent innervation to the airways is involved in the response. We studied 11 animals, aged 2-7 days, anesthetized with a mixture of chloralose-urethane administered intraperitoneally. A tracheal cannula was inserted just below the larynx and following paralysis (pancuronium bromide), mechanical ventilation was initiated. A pneumothorax was created by a midline thoracotomy and an end-expiratory load was applied to maintain functional residual capacity. Animals were placed in a flow plethysmograph from which measurements of transpulmonary pressure, flow, and volume, mean inspiratory resistance, and dynamic compliance of the lung were calculated. The experimental protocol consisted of a series of 8-min trials, each preceded by a controlled volume history. The hypoxia challenge was composed of 1 min of ventilation with 40% O2, followed by 5 min exposure to 10% O2 and 2 min of recovery. In the majority of animals (7 out of 11), hypoxia had no effect on lung mechanics compared with control trials. Four animals responded to hypoxia with an increase in resistance and a decrease in compliance. Resistance remained elevated throughout the hypoxia with an average maximal increase of 47.2 +/- 22.2% (SD). Dynamic compliance was significantly decreased at the 2nd, 3rd, and 4th min only of hypoxia. Bilateral vagotomy abolished the response in the four animals and hypoxia had no effect on mechanics postvagotomy. Our data suggest that in most cases changes in lung mechanics do not play a causal role in the biphasic ventilatory response to hypoxia seen in the newborn.     

Transmembrane signaling: tumor promoter distribution

Diacylglycerol plays a critical role in transmembrane signaling by activating protein kinase C (PKC). The tumor promoter 12-O-tetradecanoylphorbol 13-acetate (TPA) mimics that action, and in the human erythrocyte, TPA-activated PKC phosphorylates membrane proteins. Although molecular aspects of this process have been investigated, details of the interaction of TPA with plasma membranes remain elusive. Because TPA is hydrophobic, it has been assumed that it associates with the lipid bilayer. However, there is no direct evidence for its transbilayer distribution. Because knowledge of its location would limit molecular models proposed to explain its mode of action, we have used membrane-splitting techniques, based on freeze-fracture of planar cell monolayers, to quantify transmembrane partitioning of [3H]TPA. Under conditions where PKC-mediated phosphorylation was stimulated by [3H]TPA and where more than 90% of the [3H]TPA was associated with the human red cell plasma membrane, two-thirds of the TPA partitioned with the cytoplasmic leaflet after bilayer splitting. This represents the first direct topographic localization of TPA in a biological membrane and supports the hypothesis that the mechanism of TPA activation requires its association with the cytoplasmic leaflet of the bilayer.     

Hormone epidermal growth factor interactions in development

Epidermal growth factor (EGF) is the most important member of a family of growth factors which exert their effects via a single 170,000 Mr plasma membrane receptor. Other members include transforming growth factor-alpha (TGF-alpha), amphiregulin and several viral growth factors. The receptor is widely distributed in fetal and postnatal tissues. The predominant family member in the fetus appears to be TGF-alpha. EGF production in tissues matures in the perinatal period. Activation of the receptor in the fetal and neonatal periods in rodents evokes important growth and development actions. Tissue EGF and EGF receptor concentrations are modulated by thyroid hormones, estrogen, testosterone and growth hormone, suggesting that selected growth and developmental actions of thyroid and steroid hormones may be mediated by EGF.     

The influence of maternal age on radiation-induced chromosome aberrations in mouse oocytes

The relative sensitivities of dictyate oocytes from young and old female mice to radiation-induced chromosome damage were examined in 2 separate experiments. Firstly, females were given either 2 or 4 Gy of X-rays and metaphase I stage oocytes collected 16.5 days later. Analysis of these cells showed dose-related increases in chromosome aberrations in both age groups. The response was significantly greater in oocytes of older females. In the second experiment, females were given 4 Gy of X-rays and metaphase I stage oocytes collected 3.5 days later. Again, a significantly larger frequency of aberrations was present in cells from older animals. Overall, these 2 experiments provide unambiguous evidence that the radiosensitivity of mouse dictyate oocytes increases with advancing maternal age.     

Polyelectrolyte precipitation of proteins: II. Models of the particle size distributions

A population-balance model has been used to characterize continuous polyelectrolyte precipitation of egg white proteins. We have modeled the particle size distributions of aggregates formed under a range of mixing conditions. The models, accounting for aggregate growth (by both shear-driven and Brownian-like collisions), breakage (by hydrodynamic shear or aggregate-aggregate collisions), and birth (by the breakage of large aggregates), fit the data well. The kinetic constants show dependencies on shear rate and residence time that have not been previously theoretically predicted; these dependencies are due in part to aging effects on the aggregate. The model constants show a dominance of growth over breakage, supporting qualitative interpretations of the particle size distributions. A mechanism for growth-rate enhancement, caused by polymer extensions from the particle surfaces, produced improved model performance. A collisional breakage mechanism is supported.     

Polyelectrolyte precipitation of proteins: I. The effect of reactor conditions

Lysozyme was recovered from egg white by continuous precipitation with polyacrylic acid (molecular weight of 4 x 10(6)). Precipitator residence time and shear rate had significant effects on the size distribution of the precipitate, but no clear effects on the compositions. Precipitate mean size increased with higher shear, indicating growth phenomena predominating over breakage. Also, an enhancement of growth rate at small sizes was noted. The Camp number successfully characterized the interaction of shear rate and residence time on the particle size.