本文選題：基因表達(dá)模型 + 化學(xué)主方程�。� 參考：《中國科學(xué):數(shù)學(xué)》2017年12期

【摘要】：基因表達(dá)是細(xì)胞內(nèi)部過程的中心環(huán)節(jié),其建模與分析一直是人們關(guān)注的焦點(diǎn).轉(zhuǎn)錄水平上的兩類代表性基因表達(dá)模型(即構(gòu)成式表達(dá)模型和爆發(fā)式表達(dá)模型)已經(jīng)被廣泛研究,特別是m RNA的分布已經(jīng)解析地給出,但對于同時(shí)考慮轉(zhuǎn)錄和翻譯的完整基因表達(dá)模型,如何解析地導(dǎo)出m RNA和蛋白質(zhì)的分布以及它們的聯(lián)合分布的問題至今未得到解決.本文應(yīng)用作者自己發(fā)展起來的二項(xiàng)矩方法解決了此數(shù)學(xué)問題,尤其是給出了基因產(chǎn)物分布及有關(guān)統(tǒng)計(jì)量的解析表示.此外,本文還討論了基因表達(dá)噪聲的可調(diào)性.
[Abstract]:Gene expression is the central part of the cell internal process, its modeling and analysis has been the focus of attention. Two types of representative gene expression models at transcriptional level (i.e. constitutive expression model and explosive expression model) have been widely studied, especially the distribution of m RNA has been analytically given. However, the problem of how to deduce the distribution of m RNA and protein and their joint distribution has not been solved yet for the complete gene expression model considering both transcription and translation. In this paper, this mathematical problem is solved by using the binomial moment method developed by the authors themselves, especially the analytical representation of the distribution of gene products and related statistics. In addition, the tunability of gene expression noise is discussed.
【作者單位】： 武漢紡織大學(xué)數(shù)學(xué)與計(jì)算機(jī)學(xué)院;中山大學(xué)數(shù)學(xué)學(xué)院和廣東省計(jì)算數(shù)學(xué)重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金(批準(zhǔn)號:91530320) 湖北省科技廳自然科學(xué)基金(批準(zhǔn)號:2017CFB682) 湖北省教育廳科研計(jì)劃(批準(zhǔn)號:B2016062) 中山大學(xué)廣東省計(jì)算科學(xué)重點(diǎn)實(shí)驗(yàn)室開放基金(批準(zhǔn)號:2016010)資助項(xiàng)目
【分類號】：O211;Q75
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本文編號：1884714