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Biomedical subjects

Z Agur

Publications and source records attributed to Z Agur.

24 records · Page 2Linked to original sources
PubMed1991

A model for the adjustment of the mitotic clock by cyclin and MPF levels.

A mathematical model of cell cycle progression is presented, which integrates recent biochemical information on the interaction of the maturation promotion factor (MPF) and cyclin. The model retrieves the dynamics observed in early embryos and explains how multiple cycles of MPF activity can be produced and how the internal clock that determines durations and number of cycles can be adjusted by modulating the rate of change in MPF or cyclin concentrations. Experiments are suggested for verifying the role of MPF activity in determining the length of the somatic cell cycle.

Animals↗
PubMed1991

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↗
PubMed1991

Zidovudine toxicity to murine bone marrow may be affected by the exact frequency of drug administration.

Zidovudine (azidothymidine, AZT) toxicity to the bone marrow (BM) is a major hindrance to its widespread clinical application in the treatment of the acquired immunodeficiency syndrome (AIDS). In this work we verify the prediction of a mathematical model that cytotoxicity to the host can be reduced when the frequency of drug administration is an integer multiple of the target cell average cycle time (ca. 7 h in murine BM cells). We report in vivo experiments in mice showing that a 7-h frequency of AZT administration is significantly less toxic than other frequencies when peripheral blood parameters and the proportion of BM cells arrested at the S-phase gate of the DNA content distribution are considered.

Animals↗
PubMed1989

Ordered appearance of antigenic variants of African trypanosomes explained in a mathematical model based on a stochastic switch process and immune-selection against putative switch intermediates.

Antigenic variation of African trypanosomes results from the periodic activation of a single new variant cell surface glycoprotein (VSG) gene out of a repertoire of about a 1000 VSG genes. In spite of the apparently random genetic basis of the process of antigenic variation, the relapsing parasitemias are characterized by an as yet unexplained order of appearance of major VSG variants. Here we mathematically test hypotheses concerning the blood-based parasitemia. In our model the antigenic switches occur at random at the DNA level. A variable proportion of the switches has a short intermediate phase in which two different VSGs simultaneously occur on the cell surface. We show that, in a theoretical population of 230 single expressor variants in an immunocompetent or in an immunodeficient host, it is not possible to explain the ordered appearance of variants by affecting the growth coefficients of single expressors or double expressors or by affecting the antigen switch probabilities. Rather, a realistic parasitemia can be obtained if the majority of switches has a double expressor switch-intermediate phase and if the double expressors have a differential susceptibility to the immune control. This study is significant in providing a theoretical basis for the ordered appearance of variants and in explaining previously unresolved discrepancies between the rate of appearance of new variants in culture and in vivo. In addition, testable predictions as to the development of the infections, switch rate of variants, fraction of double expressors, and parasite mortality coefficients are generated.

Animals↗
PubMed1987

Resilience and variability in pathogens and hosts.

Adaptability by means of phenotype variability in host-pathogen systems is studied using a model that resembles a class of array systems known as cellular automata. Each automaton in this model is characterized by a network of n x m processors that process the information contained in levels 0 to m. The effect of the automaton's architecture on its ability to satisfy variations in constraints is analysed, and automata-evolution experiments are described. Increasing the number of organization levels in the automaton is shown to increase its efficiency in buffering external changes, and the mechanism of modulating the processing rules appears more efficient than the mechanism of controlling the mutation rate. Analogy with biological systems suggests that hosts and pathogens evolve towards increasing modulation of their genomic information processing and that single mature lymphocytes should be able to generate more than one antigen receptor. These hypotheses can provide an explanation for the sequential ordered expression of different antigen genes in trypanosomes, as well as for immunosuppression and autoimmune phenomena.

Animals↗