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Biomedical subjects

F B Christiansen

Publications and source records attributed to F B Christiansen.

At least 19 recordsLinked to original sources
PubMed1991

Lewontin and Kojima meet Fisher: linkage in a symmetric model of sex determination.

The effect of linkage and epistasis on the evolution of the sex-ratio is studied in a symmetric two-locus model of autosomal sex determination closely related to the symmetric viability model of R. C. Lewontin and K. Kojima. R. A. Fisher's expectation of an even sex ratio for autosomal sex determination by a single gene governs the dynamics when the loci are tightly linked. However, recombination may preclude optimization of the sex ratio just as occurs in viability selection models. Many of the evolutionary phenomena known for the symmetric viability model also occur here. In addition, we exhibit a series of new phenomena related to the presence of surfaces of even sex ratio.

Animals↗
PubMed1990

The generalized multiplicative model for viability selection at multiple loci.

Selection due to differential viability is studied in an n-locus two-allele model using a set indexation that allows the simplicity of the one-locus two-allele model to be carried to multi-locus models. The existence condition is analyzed for polymorphic equilibria with linkage equilibrium: Robbins' equilibria. The local stability condition is given for the Robbins' equilibria on the boundaries in the generalized non-epistatic selection regimes of Karlin and Liberman (1979). These generalized non-epistatic regimes include the additive selection model, the multiplicative selection model and the multiplicative interaction model, and their symmetric versions cover all the symmetric viability models.

Alleles↗
PubMed1989

Persistence of an infectious disease in a subdivided population.

The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed. It is shown that the threshold condition for the disease to persist is that either (i) the disease can persist within at least one group through intragroup contacts, or--if (i) does not hold--(ii) the intergroup transmission is sufficiently high. The among-group transmission is computed as an average where each subgroup's reproductive number is weighted according to its intragroup activity level squared and the total number of cases that one infectious individual will cause through intragroup contacts. The model thus allows for a study of the relative importance of communitywide disease transmission and of disease transmission within geographically or socially separate groups.

Communicable Diseases↗
PubMed1988

Frequency dependence and competition.

Intraspecific competition implies interaction among the individuals of a population, so natural selection on genotypic variation in characters related to the competition will necessarily be frequency dependent. Intraspecific antagonistic competition exhibits properties similar to other behavioural interactions between individuals. In exploitative intraspecific competition the interactions among individuals are less direct. Exploitation modifies the abundance of the various limiting resources according to the use of these resources by the individual members of the population. The amount of resource available to an individual is therefore a function of the phenotypes present in the population, through their density and frequency.

Animals↗
PubMed1988

Epistasis in the multiple locus symmetric viability model.

The n-locus two-allele symmetric viability model is considered in terms of the parameters measuring the additive epistasis in fitness. The dynamics is analysed using a simple linear transformation of the gametic frequencies, and then the recurrence equations depend on the epistatic parameters and Geiringer's recombination distribution only. The model exhibits an equilibrium, the central equilibrium, where the 2n gametes are equally frequent. The transformation simplifies the stability analysis of the central point, and provides the stability conditions in terms of the existence conditions of other equilibria. For total negative epistasis (all epistatic parameters are negative) the central point is stable for all recombination distributions. For free recombination either a central point (segregating one, two, ... or n loci) or the n-locus fixation states are stable. For no recombination and some epistatic parameters positive the central point is unstable and several boundary equilibria may be locally stable. The sign structure of the additive epistasis is therefore an important determinant of the dynamics of the n-locus symmetric viability model. The non-symmetric multiple locus models previously analysed are dynamically related, and they all have an epistatic sign structure that resembles that of the multiplicative viability model. A non-symmetric model with total negative epistasis which share dynamical properties with the similar symmetric model is suggested.

Alleles↗
PubMed1988

Treatment of obstetric and gynecologic infections, with an emphasis on beta-lactamase-producing organisms.

The ideal pharmaceutical treatment for pelvic infections in women should provide good antibacterial coverage, have proven efficacy and be associated with a good outcome in terms of fertility and organ preservation. In an open study, ticarcillin disodium/clavulanate potassium was used to treat upper genital tract infections in 91 women. The clinical success rate was 92% with outpatient-acquired pelvic inflammatory disease; 50% with tuboovarian abscess, as confirmed by ultrasound; 85% with postpartum endometritis; 88% with endometritis plus chorioamnionitis; and 90% with postoperative infection, including cesarean section. The primary adverse reaction was diarrhea, in ten patients. Among the 129 aerobes isolated, 18 (14%) were beta-lactamase positive, as were 32% (20/63) of the anaerobes.

Adult↗
PubMed1984

Evolution and intraspecific exploitative competition. II. A two-locus model for additive gene effects.

A two-locus model corresponding to the model of Christiansen and Loeschcke (1980, theoret, Popul. Biol. 18, 297-313) is analysed. The two loci each have two alleles, and the loci influences a character which determines the utilization of resources in a one-dimensional continuum. The analysis of the model is supported by numerical iterations of the recurrence equations. The previous prediction of high linkage disequilibrium for small allele contributions to the character and close linkage between the loci is confirmed. For larger allele contributions results comparable to those for the symmetric viabilities model are obtained. The model degenerates when the allele contributions at the two loci are equal, i.e., in the most symmetric situation. The results are discussed as the outcome of a balance between optimizing selection and disruptive selection. For small allele contributions the results are virtually independent of which genotype is most favoured by the optimizing aspect of the selective forces.

Alleles↗
PubMed1981

The estimation of epistasis in components of fitness in experimental populations of Drosophila melanogaster I. A two-stage maximum likelihood model.

Laboratory populations of Drosophila melanogaster bearing the Curly and Plum marked second chromosome inversions were observed in selection experiments for ten discrete generations. Maximum likelihood estimates of the relative fitnesses of Curly, Plum, Curly-Plum, and wild phenotypes were obtained from selection trajectories. Using these estimates, measures of multiplicative and additive epistasis were calculated. These were partitioned into pre-sampling and post-sampling components, and both were found to be significant. In several cases the sign of the epistasis of the two components was reversed, and the direction of net epistasis depended on the particular inversion. The significance of partitioning epistasis into components is discussed in the light of two locus population genetic theory.

Animals↗