细胞发育服从最大Fisher信息量
Cell development obeys maximum Fisher information
摘要：
真核细胞的发展已经通过自然选择进行了优化，以服从信使蛋白的最大细胞内流量。这又意味着关于靶核孔复合物（NPR）的角位置的最大Fisher信息。细胞被简单地建模为球形，细胞膜（CM）直径为10微米，同心核膜（NM）直径为6微米。NM含有约3000个核孔复合物（NPC）。发育需要信使配体从CM-NPC-DNA靶结合位点移动。配体通过磷酸化获得负电荷，在牛顿轨迹上穿过细胞质朝向带正电荷的NPC（利用正核定位序列）。CM-NPC通道服从NPC处的最大化平均蛋白质通量F和Fisher信息I，对于环境扰动具有一阶delta I = 0和近似二阶delta I = 0稳定性。它的许多预测都得到了证实，包括1-4个蛋白质的蛋白质途径占主导地位，EGFR蛋白的大小为4 nm，通量值F =10^16个蛋白质/m2·s。在进入细胞核后，每个蛋白质最终以最大概率将其配体信息传递到DNA靶位点，即最大Kullback-Liebler熵HKL。在光滑度极限下，HKL接近IDNA/2，因此总的CM-NPC-DNA通道服从最大Fisher I。因此，最大信息接近非平衡，这是生命的一个条件。
英文摘要：
Eukaryotic cell development has been optimized by natural selection to obey maximal intracellular flux of messenger proteins. This, in turn, implies maximum Fisher information on angular position about a target nuclear pore complex (NPR). The cell is simply modeled as spherical, with cell membrane (CM) diameter 10 micron and concentric nuclear membrane (NM) diameter 6 micron. The NM contains about 3000 nuclear pore complexes (NPCs). Development requires messenger ligands to travel from the CM-NPC-DNA target binding sites. Ligands acquire negative charge by phosphorylation, passing through the cytoplasm over Newtonian trajectories toward positively charged NPCs (utilizing positive nuclear localization sequences). The CM-NPC channel obeys maximized mean protein flux F and Fisher information I at the NPC, with first-order delta I = 0 and approximate 2nd-order delta I = 0 stability to environmental perturbations. Many of its predictions are confirmed, including the dominance of protein pathways of from 1-4 proteins, a 4nm size for the EGFR protein and the approximate flux value F =10^16 proteins/m2-s. After entering the nucleus, each protein ultimately delivers its ligand information to a DNA target site with maximum probability, i.e. maximum Kullback-Liebler entropy HKL. In a smoothness limit HKL approaches IDNA/2, so that the total CM-NPC-DNA channel obeys maximum Fisher I. Thus maximum information approaches non-equilibrium, one condition for life.
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