Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory

A functional differential equation which is nonlinear and involves forward and backward deviating arguments is solved numerically. The equation models conduction in a myelinated nerve axon in which the myelin completely insulates the membrane, so that the potential change jumps from node to node. The equation is of first order with boundary values given at t=±. The problem is approximated via a difference scheme which solves the problem on a finite interval by utilizing an asymptotic representation at the endpoints, cubic interpolation and iterative techniques to approximate the delays, and a continuation method to start the procedure. The procedure is tested on a class of problems which are solvable analytically to access the scheme's accuracy and stability, then applied to the problem that models propagation in a myelinated axon. The solution's dependence on various model parameters of physical interest is studied. This is the first numerical study of myelinated nerve conduction in which the advance and delay terms are treated explicitly.Supported in part by NSF Grant MCS8301724 and by a Biomedical Research Support Grant 2SO7RR0706618 from NIH     

Site-related differences in the localization of the monoclonal antibody OX7 in SL2 and SL1 lymphomas

Summary The uptake of a monoclonal antibody (OX7) by murine lymphomas (SL1, SL2) growing in two sites in the mouse were compared. SL2 tumors grown in the subrenal site showed greater specific antibody uptake than did the same tumor grown in the subcutaneous site. Major differences in membrane bound antibody, in vitro antibody binding patterns, and gamma scintillation camera imaging were also observed between the two sites. These differences may be due to the greater blood flow measured in tumors growing in the subrenal capsule than those growing at the subcutaneous site. The differences observed in antibody uptake of the same tumor growing in two different sites raises questions concerning the choice of animal model systems that can be used to predict clinical utility.     

A test of the hypothesis of pheromone attraction in salmonid migration

Synopsis We tested the hypothesis that anadromous salmonids are guided on their homeward migration by population-specific pheromones. Our findings do not support the hypothesis. Wild migrant Arctic charr,Salvelinus alpinus, from Ikarut River, Labrador were transferred and held in a tributary previously uninhabited by anadromous fish. None of the charr migrating up Ikarut River entered the tributary after fish were transferred. Similarly, migrant charr, which were caught in Ikarut River and released in the tributary below the captive fish, did not remain in the tributary. We re-evaluated the data which have been used to uphold the concept of pheromone attraction in salmonid migration and concluded that support for the hypothesis is unsubstantiated.     

Food habits, energetics, and the reproduction of marsupials

Basal rate of metabolism in marsupials and in eutherian mammals is principally correlated with body mass, food habits and activity. Feeding on fruit, the leaves of woody plants, or invertebrates is associated with low basal rates, especially at large masses, in both groups of mammals. These foods lead to low basal rates because they are seasonally unavailable, are indigestible, or need to be detoxified. The depression in basal rate associated with frugivory and folivory is increased when coupled with sedentary, arboreal habits in both marsupials and eutherians. In contrast, eutherians that feed on vertebrates or herbs generally have high basal rates, while marsupials that eat these foods do not have high basal rates. These foods permit high basal rates, which are exploited by eutherians because high basal rates in these mammals lead to high rates of reproduction. Marsupials have, at best, a limited correlation of reproduction with rate of metabolism, so that feeding on vertebrates or herbs does not lead to high basal rates in these mammals. This difference between marsupials and eutherians in the coupling of reproduction to energetics has at least two ecological consequences. 1) Marsupials generally do not tolerate cold-temperate environments because they do not accelerate growth and development to complete reproduction within a short spring and summer. 2) Marsupials coexist with ecologically similar eutherians as long as marsupials have food habits that are correlated with low rates of metabolism in eutherians (i.e. they feed on fruit, the leaves of woody plants, or invertebrates), but they tend to be displaced by eutherians when marsupials have food habits that are associated with high rates of metabolism in eutherians (i.e. when they feed on vertebrates and, probably, herbs).     

Cloned nodulation genes of Rhizobium leguminosarum determine host-range specificity

Summary Three nodulation-deficient (nod) mutants of Rhizobium leguminosarum were isolated following insertion of the transposon Tn5 into pRL1JI, the R. leguminosarum plasmid known to carry the nodulation genes. DNA adjacent to the nod: Tn5 alleles was subcloned and used to probe a cosmid clone bank containing DNA from a Rhizobium strain carrying pRL1JI. Two cosmid clones which showed homology with the probe contained about 10 kb of DNA in common. The R. leguminosarum host-range determinants were found to be present within this 10 kb common region since either of the cosmid clones could enable a cured R. phaseoli strain to nodulate peas instead of Phaseolus beans, its normal host. Electron microscopy of nodules induced by Rhizobium strains cured of their normal symbiotic plasmid but containing either of the two cosmid clones showed bacteroid-forms surrounded by a peri-bacteroid membrane, indicating that normal infection had occurred. Thus it is clear that this 10 kb region of nodDNA carries the genes that determine host range and that relatively few bacterial genes may be involved in nodule and bacteroid development.     

The inhibition of photosynthesis and photorespiration in isolated mesophyll cells of Phaseolus and Lycopersicon by reduced osmotic potentials

Mesophyll cells isolated from Phaseolus vulgaris and Lycopersicon esculentum show decreasing photosynthetic rates when suspended in media containing increasing concentrations of osmoticum. The photosynthetic activity was sensitive to small changes in osmotic potential over a range of sorbitol concentrations from 0.44 M (−1.08 MPa) to 0.77 M (−1.88 MPa). Photorespiration assayed by ¹⁴CO₂ release in CO₂-free air and by ¹⁴CO₂ release from the oxidation of [1–¹⁴C] glycolate also decreased as the osmotic potential of the incubation medium was reduced. The CO₂ compensation points of the cells increased with increasing concentration of osmoticum from approximately 60 μ I⁻¹1 at −1.08 MPa to 130 μl 1⁻¹ for cells stressed at −1.88 MPa. Changes in photosynthetic and photorespiratory activities occurred at moderate osmotic potentials in these cells suggesting that in whole leaves during a reduction in water potential, non- stomatal inhibition of CO₂ assimilation and glycolate pathway metabolism occurs simultaneously with stomatal closure.     

The levels of ecdysteroids in uninjured and leg-autotomized nymphs of Blattella germanica (L.)

The levels of ecdysteroids in control and leg-autotomized first-instar nymphs of Blattella germanica were determined by radioimmunoassay from hatching to the time of the first ecdysis. Uninjured nymphs showed a distinct release of ecdysteroids half-way through the stadium, and this resulted in the commencement of the moult cycle which formed the cuticle of the second instar. Cockroaches which had legs autotomized at 48 h after hatching (i.e. before the control ecydsteroid release) had their instar duration increased by that time period. Releases of ecdysteroids and events of the moulting cycle were also postponed by the 48 h period. The titre of ecdysteroids in injured animals was double that of controls. Nymphs were also autotomized at 96 h (i.e. after the normal release of ecdysteroids) but no changes in instar duration, ecdysteroid releases, or events of the moult cycle were recorded. The effects of injury, prothoracicotropic hormone activity and ecdysteroid release are discussed.     

Effects of Legal Abortion on Gynaecology

The effect of the Abortion Act on gynaecological work in one provincial teaching hospital is that despite an increase in patient turnover of 45% the waiting list has increased by 200%. It is suggested that the Act has had little effect on the birth rate or illegitimacy and that there may have been an increase in criminal abortion.     

Association of three highly mutable genes involving pigmentation in Anthirrhinum majus

Unstable alleles at three unlinked loci (delilah, nivea and pallida) can mutate somatically to allow the production of clones of pigmented cells (“flakes”) in particular parts of the corolla. The size of the flakes depends on the timing of the mutations during the development of the flower.