Transbilayer distribution of phospholipids in photoreceptor membrane studied with trinitrobenzenesulfonate alone and in combination with phospholipase D

In a further study of the transbilayer distribution of phospholipids in rod disk membranes, the amino group reagent, trinitrobenzenesulfonate, and the phospholipid-hydrolyzing enzyme, phospholipase D, have been used alone and in combination.Under carefully defined conditions (1 mM trinitrobenzenesulfonate, pH 7.4, 20°C, darkness), trinitrobenzenesulfonate yields limited final levels of modification of phosphatidylethanolamine and phosphatidylserine, suggesting only minor reagent penetration and membrane disturbance under these conditions.Treatment of stacked disks with trinitrobenzenesulfonate under these conditions leads to a biphasic modification of the a aminophospholipids. Relatively fast (less than 1 h) modification of 50% phosphatidylethanolamine and 40% phosphatidylserine occurs, slowly rising (approx. 3 h) to 60 and 50%, respectively.Extensive treatment of stacked disks with phospholipase D leads to the hydrolysis of 55% phosphatidylcholine and 50% phosphatidylethanolamine, while phosphatidylserine is hardly attacked by this enzyme.Treatment of stacked disks with trinitrobenzenesulfonate after prior treatment with phospholipase D leads to no further modification than that maximally obtained with either reagent alone: about one-half of the three major phospholipid classes is accessible. Although both reagents differ greatly in molecular size, mode of action and other properties, they apparently see the same pool of phosphatidylethanolamine, their joint substrate. Considering that we start with the original right-side-out configuration, that all phospholipids can in principle be modified (no shielding) and that the membrane remains essentially intact, we conclude that the accessible lipid pool represents the outer face of the disk membranes.These results confirm our earlier conclusions from treatment with three phospholipases that the three major phospholipids are nearly symmetrically distributed over the two faces of the disk membrane.The divergence with the conclusions of other investigators is most likely explained by their use of disk membranes (disk vesicles) in which the original phospholipid distribution had not been maintained and/or of conditions under which trinitrobenzenesulfonate markedly penetrates the membrane.     

A generalized diffusion model for growth and dispersal in a population

A reaction-diffusion model is presented in which spatial structure is maintained by means of a diffusive mechanism more general than classical Fickian diffusion. This generalized diffusion takes into account the diffusive gradient (or gradient energy) necessary to maintain a pattern even in a single diffusing species. The approach is based on a Landau-Ginzburg free energy model. A problem involving simple logistic kinetics is fully analyzed, and a nonlinear stability analysis based on a multi-scale perturbation method shows bifurcation to non-uniform states.Part of this work was done while at the Mathematical Institute, Oxford University as a Senior Visiting Fellow supported by the Science Research Council of Great Britain under grant GR/B31378     

Epidemics in competition

When two or more epidemic agents are simultaneously present in a population, they may interact to increase or decrease each other's effectiveness. One form of interaction is competition where each agent confers immunity to the others. Such competition occurs, for example, between different strains of myxomatosis in rabbit populations. We consider some consequences of introducing competition into mathematical epidemic models. Both deterministic and stochastic simple epidemic models are examined. In either case the conclusions are similar: the faster spreading epidemic has a considerable advantage.