The mathematical theory of group selection. I. Full solution of a nonlinear Levins E = E(x) model

The first complete overtime solution is obtained for a group selection model of Levins E = E(x) type with recolonization but no other gene flow between islands. Assuming a subdivided population at carrying capacity, the model describes selection at a biallelic locus (A, a) where a is opposed by Mendelian selection but is favored by a lower rate of extinction of demes having high a frequency. By contrast to the linear diffusion equations encountered in classical mathematical genetics, the PDE governing the dynamics is now nonlinear in the metapopulation gene frequency distribution φ(x, t); furthermore, the initial conditions now heavily influence the equilibrium distribution φ_∞(x). A fully explicit formula (20) expressing this dependence is derived. The results indicate that a fixation is never reached, but (A, a) polymorphism in the metapopulation will result if , where s 1 parametrizes the strength of Mendelian selection, E(x) is the Levins extinction operator, h (typically in the open interval (0, 1)) is the dominance of a, and B is a parameter measuring the flatness of the initial distribution f(x) in the x → 1 limit.     

Analysis of erythroid differentiation in Friend cells using noninducible variants

A series of Friend cell variants has been isolated by selecting for resistance to different inducers of Friend cell differentiation. This procedure selects for cells which have lost the capacity to differentiate terminally in the presence of inducer. Fluctuation analysis shows that these variants arise during culture and are not induced by the selective conditions. Moreover, mutagenesis of parental cells increases the frequency of occurrence of DMSO-resistant variants. Our evidence suggests that these resistant variants arise by two mechanisms. Some arise spontaneously at a relatively high rate (5 × 10^?5?5 × 10^?6 per cell per generation), but their phenotypes are not necessarily stable on removal of the selective conditions. Stable variants arise spontaneously at a lower frequency which is consistent with a true mutational origin.Screening of these stable resistant variants shows that they have different phenotypes. Some fail to respond to any inducer; others respond to all inducers tested except the one used for selection, whereas others respond to some but not all inducers. Most of the DMSO-resistant variants are noninducible by DMSO for all aspects of Friend cell differentiation tested (that is, globin mRNA, hemoglobin, spectrin and the ability to undergo terminal differentiation). Two variants, however, are inducible for an early marker of differentiation, the erythrocyte membrane protein spectrin, but not for other markers such as hemoglobin, globin RNA or terminal differentiation. This implies that the regulation of the globin pathway can be uncoupled from that of spectrin.     

Independent regulation of collagen types by chondrocytes during the loss of differentiated function in culture

Collagen phenotypes were determined for rabbit articular chondrocytes in cartilage slices and first through fifth monolayer cultures. During the first 24 hr of slice culture, chondrocytes exhibited the following collagen phenotype: 96% type II, 3% X₂Y and 1% type III. In primary monolayer culture, no other types of collagen were added to this differentiated chondrocyte phenotype; however, the synthesis per cell of each of the expressed collagens was stimulated. By the fifth day of primary culture, X₂Y synthesis increased 10 fold, and by the eighth day, a further 4 fold. In contrast, the synthesis of collagen types II and III showed no change by the fifth day, but increased 7 fold by the eighth day. These results suggest independent regulation of X₂Y in this situation. In a separate experiment, first through fifth cultures were studied. The synthesis per cell of type II collagen declined steadily and essentially ceased by the fifth culture, indicating the loss of differentiated function by these chondrocyte progeny. The loss of type II synthesis was not quantitatively replaced by the synthesis of type I trimer and type I collagen which was first detected in the third culture. While these qualitative changes in phenotype occurred, the stimulated rate of type III collagen synthesis did not change and that of X₂Y declined only slightly. Thus the termination of type II synthesis did not significantly alter the synthesis of the other collagens produced by differentiated chondrocytes. The final “de-differentiated” phenotype was 41% type I, 25% X₂Y, 20% type I trimer, 13% type III and 1% type II.     

Linkage between low-density lipoprotein and igk light-chain genes in rabbits

The rabbit geneLpq, which codes for a low-density serum lipoprotein², is linked (34.6 ± 5.3 centimorgans) to the Ig kappa light-chain gene (Ab). There is no evidence thatLpq is linked to another gene,Prt, that was previously found to be linked to theAb gene. This suggests that the gene order for the three genes isPrt- Ab- Lpq. Abbreviations used in this paper Ig immunoglobulin - a the heavy-chain variable-region geneAa - b the kappa light-chain geneAb - q the low-density serum lipoprotein geneLpq     

Immunochemical characterization of casein from rabbit mammary gland.

1. Excellent precipitating antibodies to rabbit recombined casein polypeptides were obtained in a sheep after 8 weeks of immunization with rabbit recombined polypeptides coupled to Sepharose-albumin. 2. The antiserum was assessed for specificity by several immunochemical techniques and was monospecific when tested against acid-precipitated casein, recombined casein and extracts of lactating rabbit mammary tissue. 3. A specific anti-casein immunoglobulin fraction was prepared by immunoadsorption of the antiserum by using Sepharose-recombined casein as immunoadsorbent. 4. The specific anti-casein immunoglobulin was used to prepare a Sepharose-anti-casein immunoadsorbent for the isolation of casein from extracts of rabbit mammary tissue.     

Purification and properties of mammalian toxins from the venom of the Brazilian scorpion Tityus serrulatus Lutz and Mello

The water-soluble part of the dried venom from the scorpion, Tityus serrulatus Lutz and Mello (range, Southeastern Brazil), showed 16 polypeptide bands on polyacrylamide gel electrophoresis. This material exhibited toxic and hyaluronidase activity but no phospholipase, phosphodiesterase, protease, or fibrinolytic activity. Fractionation on glycinamide-treated Sephadex G-50 afforded three protein fractions, which were non-toxic, equitoxic, and three times more toxic than the water-soluble venom. Subsequent separation of the toxic fractions on carboxymethyl-cellulose with phosphate buffers furnished five toxic components, which were further purified on carboxymethyl-cellulose with a salt gradient in acetate buffer. Toxin γ, the major and most basic toxin, is a 62-residue protein that, unlike other scorpion toxins, contains methionine. Automated Edman degradation showed the amino-terminal sequence to be H-Lys-Glu-Gly-Tyr-Leu-Met-Asp-His-Glu-Gly-Cys-Lys-Leu-Ser-Cys-Phe-Ile-Arg-Pro-Ser-Gly-Tyr-Cys-Gly-Arg-Glu-Cys-Gly-Ile-. Toxin γ is the first example of a fifth structural type of mammalian toxin from scorpion venom. Its amino-terminal sequence shows greater homology with toxins similar to Centruroides suffusus suffusus toxin III and Androctonus australis toxin II than with toxins similar to A. australis toxin I or Bhutus occitanus tunetanus toxin I.     

Lipochondria and the light response of Aplysia giant neurons

The ultrastructure, absorbance, and elemental content of lipochondria present in the cytoplasm of Aplysia giant neurons have been investigated before and after 30–1,200 sec doses of white light at intensities which produce saturated light responses. The effects of exposure to the calcium ionophore A-23187 and to EGTA were also examined. The lipochondria of nonilluminated neurons are membrane-bound, and contain lipids, protein, Na, K, Mg, Ca, Si, Cl, Br, P, and a pigment which is probably β-carotene. The cytoplasm appeared to have little pigment. When neurons were illuminated for 20 min, 60–70% of the lipochondria showed marked ultrastructural alterations, the most notable being the appearance of membranous material. Earlier changes which occur after 30 sec of illumination include the appearance of paracrystalline arrays and mottling. Less than 10% of lipochondria in nonilluminated neurons have a similar appearance. These effects were greatly enhanced in illuminated neurons exposed to the calcium ionophore or EGTA. In nonilluminated neurons, the ionophore also produced ultrastructural changes. In frozen specimens, the calcium content of the most electron dense lipochondria of illuminated neurons was reduced. Other elements which were counted were also reduced. The lipochondria are the main intracellular site of photopigment. They may also act as an intracellular source for calcium which, as the accompanying paper indicated, may mediate phototransduction in Aplysia neurons.