Engineered underdominance as a method of insect population replacement and reproductive isolation

Insect vector-borne diseases, such as malaria and dengue fever (both spread by mosquito vectors), continue to significantly impact health worldwide, despite the efforts put forth to eradicate them. Suppression strategies utilizing genetically modified disease-refractory insects have surfaced as an attractive means of disease control, and progress has been made on engineering disease-resistant insect vectors. However, laboratory-engineered disease refractory genes would probably not spread in the wild, and would most likely need to be linked to a gene drive system in order to proliferate in native insect populations. Underdominant systems like translocations and engineered underdominance have been proposed as potential mechanisms for spreading disease refractory genes. Not only do these threshold-dependent systems have certain advantages over other potential gene drive mechanisms, such as localization of gene drive and removability, extreme engineered underdominance can also be used to bring about reproductive isolation, which may be of interest in controlling the spread of GMO crops. Proof-of-principle establishment of such drive mechanisms in a well-understood and studied insect, such as Drosophila melanogaster, is essential before more applied systems can be developed for the less characterized vector species of interest, such as mosquitoes. This work details the development of several distinct types of engineered underdominance and of translocations in Drosophila, including ones capable of bringing about reproductive isolation and population replacement, as a proof of concept study that can inform efforts to construct such systems in insect disease vectors.

Periodic solutions of integro-differential equations which arise in population dynamics

The problem of the existence and stability of periodic solutions of infinite-lag integra-differential equations is considered. Specifically, the integrals involved are of the convolution type with the dependent variable being integrated over the range (- ∞,t), as occur in models of population growth. It is shown that Hopf bifurcation of periodic solutions from a steady state can occur, when a pair of eigenvalues crosses the imaginary axis. Also considered is the existence of traveling wave solutions of a model population equation allowing spatial diffusion in addition to the usual temporal variation. Lastly, the stability of the periodic solutions resulting from Hopf bifurcation is determined with aid of a Floquet theory.

The first chapter is devoted to linear integro-differential equations with constant coefficients utilizing the method of semi-groups of operators. The second chapter analyzes the Hopf bifurcation providing an existence theorem. Also, the two-timing perturbation procedure is applied to construct the periodic solutions. The third chapter uses two-timing to obtain traveling wave solutions of the diffusive model, as well as providing an existence theorem. The fourth chapter develops a Floquet theory for linear integro-differential equations with periodic coefficients again using the semi-group approach. The fifth chapter gives sufficient conditions for the stability or instability of a periodic solution in terms of the linearization of the equations. These results are then applied to the Hopf bifurcation problem and to a certain population equation modeling periodically fluctuating environments to deduce the stability of the corresponding periodic solutions.

Studies on T-even bacteriophage DNA

Part I. The regions of sequence homology and non-homology between the DNA molecules of T2, T4, and T6 have been mapped by the electron microscopic heteroduplex method. The heteroduplex maps have been oriented with respect to the T4 genetic map. They show characteristic, reproducible patterns of substitution and deletion loops. All heteroduplex molecules show more than 85% homology. Some of the loop patterns in T2/T4 heteroduplexes are similar to those in T4/T6.

We find that the rII, the lysozyme and ac genes, the D region, and gene 52 are homologous in T2, T4, and T6. Genes 43 and 47 are probably homologous between T2 and T4. The region of greatest homology is that bearing the late genes. The host range region, which comprises a part of gene 37 and all of gene 38, is heterologous in T2, T4, and T6. The remainder of gene 37 is partially homologous in the T2/T4 heteroduplex (Beckendorf, Kim and Lielausis, 1972) but it is heterologous in T4/T6 and in T2/T6. Some of the tRNA genes are homologous and some are not. The internal protein genes in general seem to be non-homologous.

The molecular lengths of the T-even DNAs are the same within the limit of experimental error; their calculated molecular weights are correspondingly different due to unequal glucosylation. The size of the T2 genome is smaller than that of T4 or T6, but the terminally repetitious region in T2 is larger. There is a length distribution of the terminal repetition for any one phage DNA, indicating a variability in length of the DNA molecules packaged within the phage.

Part II. E. coli cells infected with phage strains carrying extensive deletions encompassing the gene for the phage ser-tRNA are missing the phage tRNAs normally present in wild type infected cells. By DNA-RNA hybridization we have demonstrated that the DNA complementary to the missing tRNAs is also absent in such deletion mutants. Thus the genes for these tRNAs must be clustered in the same region of the genome as the ser-tRNA gene. Physical mapping of several deletions of the ser-tRNA and lysozyme genes, by examination of heteroduplex DNA in the electron microscope, has enabled us to locate the cluster, to define its maximum size, and to order a few of the tRNA genes within it. That such deletions can be isolated indicates that the phage-specific tRNAs from this cluster are dispensable.

Part III. Genes 37 and 38 between closely related phages T2 and T4 have been compared by genetic, biochemical, and hetero-duplex studies. Homologous, partially homologous and non-homologous regions of the gene 37 have been mapped. The host range determinant which interacts with the gene 38 product is identified.

Part IV. A population of double-stranded ØX-RF DNA molecules carrying a deletion of about 9% of the wild-type DNA has been discovered in a sample cultivated under conditions where the phage lysozyme gene is nonessential. The structures of deleted monomers, dimers, and trimers have been studied by the electron microscope heteroduplex method. The dimers and trimers are shown to be head-to-tail repeats of the deleted monomers. Some interesting examples of the dynamical phenomenon of branch migration in vitro have been observed in heteroduplexes of deleted dimer and trimer strands with undeleted wild-type monomer viral strands.