Ding D F, Prigogine I
Universite Libre de Bruxelles, Faculte des Sciences, Belgium.
J Theor Biol. 1987 Sep 21;128(2):135-57. doi: 10.1016/s0022-5193(87)80166-2.
Morphological and chiral symmetry breaking in reaction-diffusion systems is considered on the basis of the theory of imperfect codimension-two bifurcations. A new type of pattern selection with two triggers is elucidated: (1) morphologically asymmetric structures displaying optical activity can probably be originated from initially racemic and homogeneous conditions when chiral interaction, having the characteristic strength delta (such as electroweak interaction and circularly polarized light) as well as external field, having the characteristic strength eta (such as gravitational field and electrostatic field) are considered; (2) the selective sensitivity of molecular chirality and morphological asymmetry is omicron(delta 1/3) and omicron(eta 1/3), respectively; the sensitivity of mode-mode interaction between chiral polarization and concentration vector is omicron(delta 2/3) or omicron(eta 2/3), respectively. The relation of these conclusions to the life problem is discussed briefly.
基于不完善余维二分岔理论，研究了反应扩散系统中的形态和手性对称性破缺。阐明了一种具有两个触发因素的新型模式选择：（1）当考虑具有特征强度δ（如电弱相互作用和圆偏振光）的手性相互作用以及具有特征强度η（如引力场和静电场）的外场时，显示光学活性的形态不对称结构可能起源于初始外消旋和均匀条件；（2）分子手性和形态不对称的选择性灵敏度分别为δ1/3和η1/3；手性极化与浓度矢量之间的模-模相互作用灵敏度分别为δ2/3或η2/3。简要讨论了这些结论与生命问题的关系。
