An approach to a physico-chemical model of olfactory stimulation in vertebrates by single compounds

During recent years, numerous attempts have been made to correlate both quantitative (Davies &; Taylor, 1959; Engen, 1962; Beck, 1964; Engen, Cain &; Rovee, 1968; Cain, 1969; Dravnieks &; Laffoit, 1970; Laffort, 1969a,b) and qualitative (Davies, 1965; Amoore &; Venstrom, 1965; Döving, 1966a,b; Wright &; Michels, 1964; Leveteau &; MacLeod, 1969) odorous properties of single compounds to their molecular properties. These attempts have been only partially successful.In the present paper we will try to explain the several odorous properties of single compounds on the basis of the non-specific properties of odorants involved in solubility.This model is a first approach, and although it gives statistically highly significant relations, it is not as accurate as those advanced with respect to the physical and sensory dimensions of stimuli in the fields of vision and audition.We will first give the present definitions of the most suitable physicochemical parameters, and then advance quantitative and qualitative models for single compounds. Quantitative odorous properties are: odour threshold, rate of change of odour intensity with odorant concentration in the suprathreshold region, and the somewhat controversial upper odour intensity. Qualitative properties refer to odour character.     

Kinship and covariance

Price's (1970) covariance theorem can be used to derive an expression for gene frequency change in kin selection models in which the fitness effect of an act is independent of the genotype of the recipient. This expression defines a coefficient of relatedness which subsumes r(Wright, 1922), b(Hamilton, 1972), ρ (Orlove &; Wood, 1978), and R(Michod &; Hamilton, 1980). The new coefficient extends the domain of Hamilton's rule to models in which the average gene frequency of actors differs from that of recipients.     

The fine structure of Ameson pulvis (Microspora,Microsporida) and its implications regarding classification and chromosome cycle

Nosema pulvisPerez, 1905, Ameson pulvis (Perez) Sprague, 1977, in muscles of the crabs Carcinus maenas and C. mediterraneus from the coast of France, was observed with the electron microscope. It was found to be structurally similar to the type species A. michaelis (Sprague, 1970). Sprague, 1977, having moniliform sporogonial plasmodia, unikaryotic sporoblasts, and hirsute sporulation stages. It is treated as distinct from A. michaelis because it has slightly smaller spores (by comparison with syntype material of A. michaelis) and appears to have fewer coils in the polar filament. The results require the removal of the genus Ameson from the family Nosematidae Labbé, 1899, where Sprague (1977) had placed it under the erroneous supposition that its sporoblasts are diplokaryotic. Ameson is transferred to family Unikaryonidae Sprague, 1977. Ameson is distinguished from PereziaLéger and Duboscq, 1909, shown by Ormieres et al. to have a similar developmental pattern, by presence of appendages on its sporulation stage. A. nelsoni (Sprague, 1950), the third, and only other species of Ameson, lacks the appendages and is transferred to genus Perezia.     

Trehalose-6-phosphate synthetase activity in extracts of Dictyostelium discoideum.

Trehalose-6-phosphate (T-6-P) synthetase activity in extracts of Dictyostelium discoideum has been reexamined in an effort to resolve discrepancies between the results of previous studies (R. Roth and M. Sussman (1966). Biochim. Biophys. Acta, 122, 225; K. A. Killick and B. E. Wright (1972). J. Biol. Chem., 247, 2967). We find that T-6-P synthetase is not cold sensitive as reported by Killick and Wright (1972), is not present in bacterial-grown vegetative cells (though subject to some modulation by other nutritional conditions), and is not in our hands unmasked or activated by ammonium sulfate fractionation. We conclude that the pattern of T-6-P synthetase accumulation and disappearance during fruiting body construction in D. discoideum is as originally described by R. Roth and M. Sussman (1968). J. Biol. Chem., 243, 5081) and confirmed elsewhere (P. C. Newell et al. (1972). J. Mol. Biol., 63, 373; R. W. Brackenbury et al. (1974). J. Mol. Biol., 90, 529; B. D. Hames and J. M. Ashworth (1974). Biochem. J., 142, 301).     

Unified theory of 1f and conductance noise in nerve membrane

A theory of $\text{1}\text{f}$ and conductance noise is given for ionic channels in nerve membrane. The theory is based on the assumption that the channels are in constant, stochastically independent, rotational motion within a fluid bilayer membrane. The resulting expression for the current noise power density S contains a conduction noise term consistent withStevens (1972) and Hill & Chen (1972) and a $\text{1}\text{f}$ noise term consistent with Lundstrom & McQueen (1974) and Clay & Shlesinger (1976). The expression for S also contains a third term which is the spectrum of the product of the single channel conduction noise and $\text{1}\text{f}$ noise correlation functions. This term is independent of the number of channels in the membrane, R. Consequently, the expression for S effectively reduces to a sum of $\text{1}\text{f}$ and conduction noise for R 10–100 which is in agreement with noise measurements on squid axon. The theory is applied in detail to potassium squid noise measurements of Conti, DeFelice & Wanke (1975) using the stochastic analysis of single file ion motion developed in our previous paper (Clay & Shlesinger (1976)).     

Does a functional relationship exist between the polymerization and catalytic activity of beef liver glutamate dehydrogenase?

The recent work of Cohen &; Benedek (1976) and Cohen et al. (1975, 1976) on the apparent interdependence of beef liver glutamate dohydrogenase catalytic activity and degree of polymerization is examined in the light of previously published equilibrium and kinetic results. It is shown that some of the hypotheses central to the Cohen &; Benedek (1976) model are in contradiction with existent data. Consideration of all available information leads to the conclusion that effector-induced depolymerization may simply be an incidental side reaction in the events leading to inhibition.     

The role of migration in the genetic structure of populations in temporally and spatially varying environments II. Island Models

The Island Model introduced by Sewall Wright (1951) has proven to be a useful construction for studying the interaction of genetic drift, population subdivision, and mutation. Interest in the model has recently increased because of its relevance to certain questions involving the rate of differentiation of sub-populations under the neutral allele hypothesis (e.g., Smith, 1970; Latter, 1973). It is perhaps the only realistic population structure in which the test for neutrality proposed by Lewontin and Krakauer (1973) is valid (Lewontin and Krakauer, 1975). If data from natural populations is to be compared to the predictions of the Island Model, it is desirable to have an alternative model with the same migration pattern but with natural selection operating. In this paper one such model will be introduced where the stochastic element comes from random fluctuations in the environment rather than from genetic drift. The model is a direct extension of the one in the previous paper in this series (Gillespie, 1975) which dealt with a population which is subdivided into two patches with restricted migration between them.     

The Plasmodium vaughani--Complex

Plasmodium vaughaniNovy and MacNeal, 1904, Plasmodium tenueLaveran and Marullaz, 1914, and Plasmodium merulaeCorradetti and Scanga, 1972 are shown to differ. It is suggested that P. tenue and P. merulae should be considered as subspecies belonging to Plasmodium vaughani-complex.More investigations are needed for a sufficient knowledge of the complex, particularly because at least 36 species of birds harbor P. vaughani-like parasites and cover an immense geographical area in all the parts of the world.     

An autoradiographic analysis of the time of appearance of neurons in the developing chick neural retina

The pattern of incorporation of [³H]thymidine into the chick neural retina has been used to establish the time and order in which different classes of neuroepithelial cells withdraw from the cell cycle and initiate migration and differentiation.The posterior pole of the retina is the first to form during development. In this region most neuroepithelial cells complete mitotic activity between the third and sixth day of incubation. Presumptive ganglion cells initiate the withdrawal process, and they are soon followed by the neuroepithelial precursors of amacrine, horizontal, and receptor cells. Bipolar cell precursors are the last to begin and the last to complete cell cycle activity. It is worthy of note, however, that, in any given region of the retina, neuroepithelial cells of all types cease mitosis in close, overlapping succession.These results are in reasonable agreement with those previously published on the chick retina by Fujita and Horii (1963), and other investigators on the mouse (Mus), killifish (Fundulus), and toad (Xenopus). The present data are also consistent with those proposals of Angevine (1970), Jacobson, 1968a, Jacobson, 1968b, Jacobson, 1970, and others that relate the cessation of mitotic activity of neuroepithelial cells to the determination of neuronal size, axon length, and the specification of neuronal connections.     

Replication of polyoma DNA in isolated nuclei. VII. Initiator RNA synthesis during nucleotide depletion.

Earlier experiments demonstrated that the Okazaki fragments synthesized during discontinuous polyoma DNA synthesis in isolated nuclei at their 5′ ends contained structural elements consisting of polyribonucleotides starting with ATP or GTP (Reichard et al., 1974). These structures could be released by digestion with pancreatic DNAase and were named initiator RNA. They consist of a large family of polyribonucleotides differing in base sequence but having a common size of about a decanucleotide. We now demonstrate that limitation of DNA synthesis by low concentrations of deoxyribonucleoside triphosphates in parallel limits the synthesis of initiator RNA. This is additional evidence for the primer function of initiator RNA. When ribonucleoside triphosphates other than ATP were deleted from the incubation medium only a small decrease of DNA and initiator RNA synthesis occurred. Under those conditions deoxyribonucleotides substituted for ribonucleotides and were incorporated internally into the primer. From this result as well as the insensitivity of initiator RNA synthesis to α-amanitin (Reichard &; Eliasson, 1979) we suggest that a mammalian counterpart to primase, the dnaG gene product of Escherichia coli(Rowen &; Kornberg, 1978a), catalyzes the synthesis of initiator RNA.     

A specific internal RNA polymerase recognition site of VSV RNA is involved in the generation of DI particles.

The 3′ terminal sequences of four different DI particle RNAs ranging in size from 10S to 30S have been determined directly using rapid RNA sequencing methods or deduced, in the case of the fourth DI RNA, from the complementary sequence of a small RNA transcribed from this part of the genome (Schubert et al., 1978). One DI particle (DI 011) contains covalently linked genomic and antigenomic RNA. The 5′ end of this RNA is identical to that of VSV RNA, as determined by annealing for at least 1 kb, as well as to the other DI particle RNAs used in this study. The 3′ ends of the other three DI particle RNAs are exact copies of the common 5′ terminal sequence for 48 nucleotides in two cases and 45 nucleotides in the third. Beyond these complementary regions the sequences are different for each DI RNA. The fact that these regions differ in length by only three nucleotides, despite the wide differences in the overall size of the DI particle RNAs, indicates that if these DIs were formed by the copy-back mechanisms similar to those proposed by Leppert, Kort and Kolakofsky (1977) and Huang (1977), a specific recognition site for the RNA polymerase must be involved in copying the 5′ terminus. We determined the 5′ terminal sequence from position 43–48 at the end of the complementary region and found it to be 5′-GGUCUU-3′. This hexamer is also part of other highly conserved terminal RNA polymerase initiation sites (Keene et al., 1978; Keene, Schubert and Lazzarini, 1979) and may be a specific internal RNA polymerase recognition site. We conclude that this sequence is one of the elements involved in the genesis of DI particle chromosomes containing short complementary sequences at their termini. The ability of the polymerase to resume synthesis at or near a specific recognition site is discussed.     

RNA sequences specifically associated with mouse intracisternal A particles.

Electron microscopic examination of the histone H1-depleted, folded genomes of Drosophila melanogaster reveals that they are composed of long cylindrical cables of about 100 Å diameter. Limited single-strand nicking with DNAase I relaxes the 100 Å fibers to a “beads-on-a-string” structure, showing the nucleosomes and internucleosome DNA.Based on these results and other available data, we have constructed a detailed space-filling model for the higher order DNA coiling in chromatin, starting with the symmetrical nucleosome core previously described (Weintraub, Worcel and Alberts, 1976). The model defines the path of the DNA helix and the nucleosome arrangement along the DNA coil for both the 100 Å and the 200–300 Å fibers.Following Sobell et al. (1976), we believe that the DNA is coiled in the 100 Å nucleofilament in a uniform left-handed supercoil of about 90 base pairs (bp) per turn and 47 Å pitch; the 140 bp symmetrical nucleosome cores align themselves along this uniform DNA superhelix so that the isologous outer surfaces of adjacent nucleosomes touch and the internucleosome spacer DNA coils between them. A few single-strand discontinuities [about one nick per 85 kilobases (kb); Benyajati and Worcel, 1976] in the H1-depleted 100 Å fiber can thus relax the negatively supercoiled internucleosome DNA generating the “beads-on -a-string” appearance.We propose that histone H1 binds to the 100 Å diameter superhelix and coils it into tightly packed, 110 Å pitch super-superhelices (“solenoids;” Finch and Klug, 1976) of variable diameter (between 200–300 Å). In our model, the “thick” 200–300 Å fiber is stabilized at metaphase by histone H1-H1 heterologous interactions between adjacent helical turns of the nucleofilament, and the internucleosome spacer DNA is located on the outside. Symmetry considerations demand that changes in the length of the repeat should lead to variations in the number of nucleosomes per helical turn and in the handedness of these turns in the 200–300 Å metaphase fiber.     

Box-Jenkins forecasting in ecology: An answer to poole

This answering of Poole, 1978, Poole, 1976 aims at rounding off our exchange of views, without losing the readership from an excess of toing and froing between the four contributions. So my final rejoinder only attempts at treating the general points raised by Poole (1978), rather than taking issue with all the minutiae, which would require too many quotes of quotes and counterquotes. The main nub of contention remains as to whether or not statistical fits can be meaningfully interpreted biologically.     

Replication of a mammalian genome: the role of de novo protein biosynthesis during S phase

ts14 is a temperature-sensitive Chinese hamster lung cell mutant that ceases protein biosynthesis within a short time of transfer to nonpermissive temperature (Haralson and Roufa, 1975; Roufa and Haralson, 1975; Roufa and Reed, 1975). This mutant contains a revertible, presumably a point mutation that renders its 60S ribosomal subunit thermolabile (Haralson and Roufa, 1975). In this report, we describe the relationship between the conditional ability of ts14 to synthesize protein during S phase and the replication of its DNA.After transfer to nonpermissive temperature (39°C), where ts14 synthesizes protein at a rate approximately 20 fold less than wild-type cells, synchronous cultures of the mutant performed all the processes required for replication of their DNA. During prolonged incubations at nonpermissive temperature, S phase ts14 completed approximately one round of DNA replication semi-conservatively as judged by density-transfer experiments. Pulse-labeling experiments performed on S phase cells revealed that ts14 synthesized the intermediates of discontinuous DNA replication at nonpermissive and permissive temperatures at similar rates. In these tests, the mutant was not substantially different from wild-type at both culture temperatures. At the nonpermissive temperature, however, ts14 synthesized significantly less nuclear protein (that is, histone) than did wild-type cells, and the mutant's chromatin appeared deficient in histone by virtue of its increased sensitivity to nuclease.     

Theory of radiation dose-survival curves for the case where organism lethality is defined as loss of reproductive capacity. II. Application to cells and physical interpretation

The general theory of survival curves (Craig, 1971) is applied to the case of cells and sub-cellular organisms with a physical interpretation via gene or chromosome damage as the terminal lesion.It is indicated how the proposed terminal lesion is consistent with the salient features of cellular response to radiation and analytical expressions for reactivity and sensitivity in terms of a damage, or mutation, cross section are obtained.The probability of a complex cross section and conditions under which it reduces to simple approximations are discussed and the influence of various factors on the cross section are indicated.Acceptable fits are obtained to the data of Barendsen, Beusker, Vergroesen &; Budke (1960), McCulloch &; Till (1962) and Puck &; Marcus (1956) with simple forms of cross section.     

Proteolysis in eucaryotic cells: Aminopeptidases and dipeptidyl aminopeptidases of yeast revisited

Using nine different l-aminoacyl-4-nitroanilides and four different dipeptidyl-4-nitroanilides, aminopeptidases and dipeptidyl aminopeptidases active at pH 7.5 and (or) pH 5.5 in logarithmically growing and stationary-phase cells of Saccharomyces cerevisiae were searched for. Ion-exchange chromatography was used to separate the proteins of the soluble cell extract. Besides the three already-characterized aminopeptidases—aminopeptidase I (P. Matile, A. Wiemken, and W. Guyer (1971) Planta (Berlin)96, 43–53; J. Frey and K. H. Röhm (1978) Biochim. Biophys. Acta527, 31–41), aminopeptidase II (J. Frey and K. H. Röhm (1978) Biochim. Biophys. Acta527, 31–41; J. Knüver (1982) Thesis, Fachbereich Chemie, Marburg, FRG), and aminopeptidase Co (T. Achstetter, C. Ehmann, and D. H. Wolf (1982) Biochem. Biophys. Res. Commun.109, 341–347)—12 additional aminopeptidase activities are found in soluble cell extracts eluting from the ion-exchange column. These activities differ from the characterized aminopeptidases in one or more of the parameters such as charge, size, substrate specificity, inhibition pattern, pH optimum for activity and regulation. Also, a particulate aminopeptidase, called aminopeptidase P, is found in the nonsoluble fraction of disintegrated cells. Besides the described particulate X-prolyl-dipeptidyl aminopeptidase (M. P. Suarez Rendueles, J. Schwencke, N. Garcia-Alvarez and S. Gascon (1981) FEBS Lett.131, 296–300), three additional dipeptidyl aminopeptidase activities of different substrate specificities are found in the soluble extract.     

A note on the sampling theory for infinite alleles and infinite sites models

This note considers sampling theory for a selectively neutral locus where it is supposed that the data provide nucleotide sequences for the genes sampled. It thus anticipates that technical advances will soon provide data of this form in volume approaching that currently obtained from electrophoresis. The assumption made on the nature of the data will require us to use, in the terminology ofKimura (Theor. Pop. Biol.2, 174–208 (1971)), the “infinite sites” model of Karlin and McGregor (Proc. Fifth Berkeley Symp. Math. Statist. Prob.4, 415–438 (1967)) rather that the “infinite alleles” model of Kimura and Crow (Genetics49, 174–738 (1964)). We emphasize that these two models refer not to two different real-world circumstances, but rather to two different assumptions concerning our capacity to investigate the real world. We compare our results where appropriate with corresponding sampling theory of Ewens (Theor. Pop. Biol.3, 87–112 (1972)) for the “infinite alleles” model. Note finally that some of our results depend on an assumption of independence of behavior at individual sites; a parallel paper byWatterson (submitted for publication (1974)) assumes no recombination between sites. Real-world behavior will lie between these two assumptions, closer to the situation assumed by Watterson than in this note. Our analysis provides upper bounds for increased efficiency in using complete nucleotide sequences.     

Complexity-stability relationship of two-prey-one-predator species system model: Local and global stability

Parrish & Saila (1970), motivated by the experiments of Paine (1966), constructed a simple mathematical model for a two-prey-one-predator system. They were unable to find, in their model, a set of parametric values with which the three-species system can be stable, whereas a twoprey species system without a predator is unstable. Cramer & May (1972) showed that, in fact, such parametric values exist, and gave the necessary mathematical condition. I have investigated the complete conditions for the stability of the system around the equilibrium point, and show that the conditions must be more stringent than given by Cramer & May (1972). Also, it is shown that the present model can have a globally stable limit cycle in three species even when the equilibrium point is locally unstable.