34 research outputs found

    Stochastic Analysis of a Mammalian Circadian Clock Model: Small Protein Number Effects

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    The circadian clock, responsible for coordinating organism function with daily and seasonal changes in the day-night cycle, is controlled by a complex protein network that constitutes a robust biochemical oscillator. Deterministic ordinary differential equation models have been used extensively to model the behavior of these central clocks. However, due to the small number of proteins involved in the circadian oscillations, mathematical models that track stochastic variations in the numbers of clock proteins may reveal more complex and biologically relevant behaviors. In this paper, we compare the response of a robust yet detailed deterministic model for the mammalian circadian clock with its corresponding stochastic version that takes into account low protein number noise. We then use signal analysis techniques in order to examine differences in behavior among components of the stochastic system oscillator. This approach reveals differences in the system response between the stochastic and deterministic model and also allows us to extend bifurcation analysis into the stochastic domain. From our analysis of the unfitted stochastic model, we propose novel explanations of some previous experimental results

    The N⁶-methyladenosine methyltransferase METTL16 enables erythropoiesis through safeguarding genome integrity

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    RNA修飾による赤血球造血制御機構を解明 --RNAのメチル化がDNA修復に必要--. 京都大学プレスリリース. 2022-11-10.Mice show METTL in DNA blood repair: RNA methylation shows important role in erythropoiesis. 京都大学プレスリリース. 2022-11-25.During erythroid differentiation, the maintenance of genome integrity is key for the success of multiple rounds of cell division. However, molecular mechanisms coordinating the expression of DNA repair machinery in erythroid progenitors are poorly understood. Here, we discover that an RNA N⁶-methyladenosine (m⁶A) methyltransferase, METTL16, plays an essential role in proper erythropoiesis by safeguarding genome integrity via the control of DNA-repair-related genes. METTL16-deficient erythroblasts exhibit defective differentiation capacity, DNA damage and activation of the apoptotic program. Mechanistically, METTL16 controls m⁶A deposition at the structured motifs in DNA-repair-related transcripts including Brca2 and Fancm mRNAs, thereby upregulating their expression. Furthermore, a pairwise CRISPRi screen revealed that the MTR4-nuclear RNA exosome complex is involved in the regulation of METTL16 substrate mRNAs in erythroblasts. Collectively, our study uncovers that METTL16 and the MTR4-nuclear RNA exosome act as essential regulatory machinery to maintain genome integrity and erythropoiesis

    A model for the evolution of extremely fragmented macronuclei in ciliates.

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    While all ciliates possess nuclear dimorphism, several ciliates - like those in the classes Phyllopharyngea, Spirotrichea, and Armophorea - have an extreme macronuclear organization. Their extensively fragmented macronuclei contain upwards of 20,000 chromosomes, each with upwards of thousands of copies. These features have evolved independently on multiple occasions throughout ciliate evolutionary history, and currently no models explain these structures in an evolutionary context. In this paper, we propose that competition between two forces - the limitation and avoidance of chromosomal imbalances as a ciliate undergoes successive asexual divisions, and the costs of replicating massive genomes - is sufficient to explain this particular nuclear structure. We present a simulation of ciliate cell evolution under control of these forces, allowing certain features of the population to change over time. Over a wide range of parameters, we observe the repeated emergence of this unusual genomic organization found in nature. Although much remains to be understood about the evolution of macronuclear genome organization, our results show that the proposed model is a plausible explanation for the emergence of these extremely fragmented, highly polyploid genomes

    Simulation data for default values given in Table 1.

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    <p>The top, middle, and bottom graph show copy number, <b>X</b>, elimination coefficient, <b>E</b>, and chromosome number, <b>N</b>, respectively versus number of iterations. Each value represents the average of the population, and each colored line represents a different trial, all with the same parameters. Note that due to the stochastic nature of our simulation we see significant variation between trails using the same parameters, yet the final result is consistent.</p
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