A mathematical model of glioma growth: the effect of chemotherapy on spatio-temporal growth

During the past two decades computerized tomography (CT) and magnetic resonance imaging (MRI) have permitted the detection of tumours at much earlier stages in their development than was previously possible. In spite of this earlier diagnosis the effects of earlier and more extensive treatments have been difficult to document. This failure has led to an increasing awareness of the importance of infiltration of glioma cells into surrounding grossly normal brain tissue such that recurrence still occurs. In this paper a simple mathematical model for the proliferation and infiltration of such tumours is introduced, based in part on quantitative image analysis of histological sections of a human brain glioma and especially on cross-sectional area/volume measurements of serial CT images while the patient was undergoing chemotherapy. The model parameters were estimated using optimization techniques to give the best fit of the simulated tumour area to the CT scan data. Numerical solution of the model on a two-dimensional domain, which took into account the geometry of the brain and its natural barriers to diffusion, was used to determine the effect of chemotherapy on the spatiotemporal growth of the tumour.     

Physiological properties of afferents and synaptic reorganization in the rat cerebellum degranulated by postnatal x-irradiation

Elimination of most granule, basket, and stellate interneurons in the rat cerebellum was achieved by repeated doses of low level x-irradiation applied during the first two weeks of postnatal life. Electrical stimulation of the brain stem and peripheral limbs was employed to investigate the properties of afferent cerebellar pathways and the nature of the reorganized neuronal synaptic circuitry in the degranulated cerebellum of the adult. Direct contacts of mossy fibers on Purkinje cells were indicated by short latency, single spike responses: 1.9 msec from the lateral reticular nucleus of brain stem and 5.4 msec from ipsilateral forlimb. These were shorter than in normal rats by 0.9 and 2.1 msec, respectively. The topography of projections from peripheral stimulation was approximately normal. Mossy fiber responses followed stimulation at up to 20/sec, whereas climbing fiber pathways fatigued at 10/sec. The latency of climbing fiber input to peripheral limb stimulation in x-irradiated cerebellum was 23 ± 8 (SD) msec. In x-irradiated rats, the climbing fiber pathways evoked highly variable extracellular burst responses and intracellular EPSPs of different, discrete sizes. These variable responses suggest that multiple climbing fibers contact single Purkinje cells. We conclude that each type of afferent retains identifying characteristics of transmission. However, rules for synaptic specification appear to break down so that: (1) abnormal classes of neurons develop synaptic connections, i.e., mossy fibers to Purkinje cells; (2) incorrect numbers of neurons share postsynaptic targets, i.e., more than one climbing fiber to a Purkinje cell; and (3) inhibitory synaptic actions may be carried out in the absence of the major inhibitory interneurons, i.e., Purkinje cell collaterals may be effective in lieu of basket and stellate cells.     

Calcium-activated thiol-proteinase activity in the fusion of rat erythrocytes induced by benzyl alcohol.

1. Rat erythrocytes were fused by incubation with benzyl alcohol and Ca2+. 2. Cell fusion was inhibited by EGTA, N-ethylmaleimide, tetrathionate, iodoacetamide, cystamine, Tos-Lys-CH2Cl, and to a lesser extent by Tos-Phe-CH2Cl. Phenylmethanesulphonyl fluoride, Tos-Arg-OMe and histamine did not inhibit cell fusion. 3. Gel electrophoresis of membrane proteins from "ghosts" of the erythrocytes treated with benzyl alcohol showed that a high-molecular-weight polymer was present: this was consistent with the entry into the cells of Ca2+ and the activation of a transglutaminase enzyme. 4. In the treated cells the proteins corresponding to bands 2 and 3 in human erythrocytes were decreased, and a polypeptide with a slightly greater mobility than band 3 was produced. 5. These changes were inhibited by EGTA, N-ethylmaleimide, tetrathionate, iodoacetamide, cystamine, and Tos-Lys-CH2Cl, but not by phenylmethanesulphonyl fluoride, Tos-Arg-OMe, or histamine. 6. The intramembraneous particles of the P-fracture face of cells treated with benzyl alcohol to induce fusion were decreased in number and were susceptible to cold-induced aggregation; both of these phenomena were markedly inhibited to EGTA, and partially inhibited by Tos-Lys-CH2Cl and N-ethylmaleimide. 7. These several observations indicate that a Ca2+-activated thiol-proteinase, which acts to degrade membrane proteins and to give freedom of lateral movement to intramembranous particles, may be essential feature of membrane fusion in this system. 8. It is suggested that this proteinase may act to degrade spectrin-binding proteins that attach band-3 protein to the erythrocyte cytoskeleton.     

One hospital's experience with a "Do not resuscitate" policy.

A "No not resuscitate" policy was instituted at McMaster University Medical Centre, Hamilton, in January 1979. Its objectives were to ensure that physicians decide on the appropriateness of resuscitation attempts before they might be needed; to have each physician consult his or her patients, or the families of incompetent patients, to determine their wishes concerning further treatment; and to provide legal protection of or physicians and the hospital in regard to the policy. To determine the effectiveness of the "Do not resuscitate" policy a questionnaire was sent to a sample of the professional staff of the hospital; the overall response rate was 87%. The respondents felt that a better way of informing hospital staff of the policy and its objectives was needed. However, the results of the questionnaire suggested that, on the whole, the policy was perceived as beneficial to both patients and physicians at the hospital.     

Is the “Difference index” useful for assessment of protein relatedness?

This paper assesses the usefulness of the Difference Index (Metzger, Shapiro, Mosimann &; Vinton, 1968) for predicting, from amino acid compositions, whether two proteins are related or unrelated. It is concluded that, with a 5 % probability of false identification, Difference Index values less than 10-0 indicate relatedness and values greater than 26·8 indicate unrelatedness. A large proportion of protein pairs have Difference Index values in the region 10·0–26·8 and cannot therefore be reliably identified as related or unrelated by this criterion.     

Water-soluble (1→3), (1→4)-β-D-glucans from barley (Hordeum vulgare) endosperm. II. Fine structure

Water-soluble (1→3),(1→4)-β-d-glucans isolated from barleys grown in Australia and the UK were depolymerised using a purified (1→3),(1→4)-β-d-glucan 4-glucanohydrolase (EC 3.2.1.73). Oligomeric products were quantitatively separated by high resolution gel filtration chromatography and their structures defined by methylation analysis. Approximately 90% (w/w) of each polysaccharide consists of cellotriosyl and cellotetraosyl residues separated by single (1→3)-linkages but blocks of 5–11 (1→4)-linked glucosyl residues are also present in significant proportions. Periodate oxidation followed by Smith degradation suggested that contiguous (1→3)-linked β-glucosyl residues are either absent, or present in very low frequency. The potential for misinterpretation of data due to incomplete Smith degradation was noted.The irregularly-spaced (1→3)-linkages interrupt the relatively rigid, ribbon-like (1→4)-β-glucan conformation and confer a flexibility and ‘irregular’ shape on the barley (1→3),(1→4)-β-d-glucan, consistent with its solubility in water. Molecular models incorporating the major structural features confirm that the polysaccharide is likely to assume a worm-like conformation in solution. Non-covalent interactions between long blocks of (1→4)-linkages in (1→3),(1→4)-β-d-glucans, or between these blocks and other polysaccharides, offer a possible explanation for the organisation of polysaccharides in the framework of the cell wall.     

Purification and chemical properties of two 1,3;1,4-beta-glucan endohydrolases from germinating barley

Two 1,3;1,4-beta-glucan endohydrolases have been purified from extracts of germinating barley by ammonium sulphate precipitation, ion-exchange and gel filtration chromatography. Both enzymes are monomeric, basic proteins. Enzyme I has a molecular weight of 28000 and an isoelectric point of 8.5, while enzyme II has a molecular weight of 33000 and an isoelectric point greater than 10. Enzyme II is a glycoprotein containing 3.6% carbohydrate, of which three residues are probable N-acetylglucosamine, but enzyme I contains only traces of associated carbohydrate. The amino acid compositions of the two 1,3;1,4-beta-glucan endohydrolases are similar and the cross-reactivity of antibodies raised against the purified enzymes suggests that they share common antigenic determinants.