Bifurcation Analysis of a Heat-Sensitive Epigenetic Regulatory Network
Bulletin of Mathematical Biology(2021)
摘要
An epigenetic regulatory network that influences transgenerational inheritance of a heat-altered phenotype was recently discovered in Arabidopsis. Our analysis shows that transgenerational inheritance of the heat-altered phenotype operates in a switch-like manner and can be turned on or off as a function of heat. We also show that trans -acting small interfering RNAs act as an “inverse amplifier” of HTT5, the protein that controls the heat-altered phenotype by a currently unknown mechanism. Our analysis uses the resultant to find an analytic expression for a cusp curve in parameter space and to find a parameter bound on switch-like behavior.
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关键词
Resultant analysis, Switch-like bistability, Regulatory networks, Bifurcation analysis
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