تم التحقق من تشكيل النمط المكاني والزمني في تفاعل منشط منتج في تراكيز كبيرة من الأضواء. تظهر المحاكاة الخوارزمية أن دورانات التحويل الكاتالي للأضواء الفردية يمكن أن تصبح متحدة وأن الأنماط الموجية المعقدة للتزام الجزيئي يمكن أن تنمو. وتشير التحليل المبني على استخدام المعدل المتوسط إلى أن الأنماط الملاحظة ينتجون عن وجود الانفصالات الهوبف والموجية في النظام المستخدم.
Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations is investigated. Stochastic simulations show that catalytic turnover cycles of individual enzymes can become coherent and that complex wave patterns of molecular synchronization can develop. The analysis based on the mean-field approximation indicates that the observed patterns result from the presence of Hopf and wave bifurcations in the considered system.
We examine the stochastic dynamics of two enzymes that are mechanically coupled to each other e.g. through an elastic substrate or a fluid medium. The enzymes undergo conformational changes during their catalytic cycle, which itself is driven by stoc
We discuss synchronization in networks of neuronal oscillators which are interconnected via diffusive coupling, i.e. linearly coupled via gap junctions. In particular, we present sufficient conditions for synchronization in these networks using the t
To study the fluctuations and dynamics in chemical reaction processes, stochastic differential equations based on the rate equation involving chemical concentrations are often adopted. When the number of molecules is very small, however, the discrete
Homochirality, i.e. the dominance across all living matter of one enantiomer over the other among chiral molecules, is thought to be a key step in the emergence of life. Building on ideas put forward by Frank and many others, we proposed recently one
We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or asymmetries in s