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The dynamics of gene amplification described as a multitype compartmental model and as a branching process.

The present work is aimed at developing the mathematical tools by which the dynamics of gene amplification (GA) can be described in detail. Some discrete compartmental models of GA by disproportionate replication and a general model for other putative GA mechanisms are presented and analyzed. The dynamical distribution of gene copy number in the cell population is calculated with the loss of cells taken either as constant or as copy-number-dependent. Our analysis shows that for a one-copy GA process with constant loss of cells, the relative frequency of single-gene-copy cells (sensitive cells) converges to zero, with the rate of convergence depending on the amplification probability. In contrast, for a one-copy GA process with copy-number-dependent loss of cells, the relative frequency of single-copy cells is bounded, implying a bounded compartment of many-gene-copy cells. Using branching processes theory we calculate the dynamical distribution of the single-gene-copy compartment as well as its extinction probability. Our models are used for estimating treatment prognosis as affected by drug resistance due to GA, showing significant differences in prognosis resulting from small changes in drug dose.

Animals↗

Copyright law and the nursing professor.

The copyright law affects the resources that are available to faculty for educating students. The author discusses the concept of fair use in academe, the process for obtaining permission to copy materials that have been copyrighted, and the rights of the professor who has created works during employment. An application of the copyright law to the publication of students' papers is presented.

Copying Processes↗

Attribute processing in patients with graphical copying disability.

This study investigated whether defective copying of multiple-line figures in lesion patients is associated with a deficit in perceptually processing and copying elementary attributes. Lesion and Control patients were assessed on a copying test comprising multi-line figures, and on parallel perceptual and motor forms of single-attribute tasks for Size, Orientation, Angle, Position and Direction. Copying test performance was correlated with perceptual attribute performance for the Lesion but not the Control group. Mean attribute performance of the Lesion patients who showed a copying disability (defined as a copying performance below the minimum performance of the Control group) was inferior to that of the non-disabled and Control subjects. The non-disabled patients did not differ from the Controls on any of these tasks. Performance in the copying test for left- and right-hemisphere patients did not differ, but left-hemisphere patients showed less impairment in the simple attribute tasks. The results are discussed in terms of the role of elementary perceptual deficits in copying disability and hemispheric differences in the nature of this condition.

Adolescent↗

Effect of copy number and mRNA processing and stabilization on transcript and protein levels from an engineered dual-gene operon.

To study the effect of mRNA stability and DNA copy number on protein production from a dual-gene operon, a synthetic operon containing the reporter genes gfp and lacZ under the control of the araBAD promoter was placed in pMB1-based (approximately 100 copies/cell) and F plasmid-based (approximately 1 copy/cell) vectors. DNA cassettes encoding secondary structures were placed at the 5' and 3' ends of the genes and a putative RNase E site was placed between the two genes. Although the copy number of the pMB1-based vectors was approximately 100-fold greater than the copy number of the F plasmid-based vectors, transcript and protein levels from the pMB1-based vector were not 100-fold greater than from the F plasmid-based vectors. In identical plasmid backbones, different combinations of mRNA control elements were used to alter steady-state levels of transcripts. Control elements that amplified the stability of one coding region relative to another amplified the ratio of protein produced from those transcripts. The effects of mRNA stability control elements were greater at low inducer concentrations, where mRNA levels limit protein production, than at high inducer concentrations. Although we can alter mRNA and protein levels through copy number, induction level, and mRNA stability control elements, some aspect of gene expression remains dependent on inherent characteristics of the coding region.

Arabinose↗

Copying results and copying actions in the process of social learning: chimpanzees (Pan troglodytes) and human children (Homo sapiens).

There is currently much debate about the nature of social learning in chimpanzees. The main question is whether they can copy others' actions, as opposed to reproducing the environmental effects of these actions using their own preexisting behavioral strategies. In the current study, chimpanzees (Pan troglodytes) and human children (Homo sapiens) were shown different demonstrations of how to open a tube-in both cases by a conspecific. In different experimental conditions, demonstrations consisted of (1) action only (the actions necessary to open the tube without actually opening it); (2) end state only (the open tube, without showing any actions); (3) both of these components (in a full demonstration); or (4) neither of these components (in a baseline condition). In the first three conditions subjects saw one of two different ways that the tube could open (break in middle; caps off ends). Subjects' behavior in each condition was assessed for how often they opened the tube, how often they opened it in the same location as the demonstrator, and how often they copied the demonstrator's actions or style of opening the tube. Whereas chimpanzees reproduced mainly the environmental results of the demonstrations (emulation), human children often reproduced the demonstrator's actions (imitation). Because the procedure used was similar in many ways to the procedure that Meltzoff (Dev Psych 31:1, 1995) used to study the understanding of others' unfulfilled intentions, the implications of these findings with regard to chimpanzees' understanding of others' intentions are also discussed.

Animals↗