聖塔非研究所

摘要 Linearized catalytic reaction equations (modellin

2010 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Linearized catalytic reaction equations (modelling, for example, the dynamics of 遺傳 regulatory 網絡s), under the constraint that expression levels, i.e. molecular concentrations of nucleic …

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論文資訊

  • 類型:已發表論文
  • 日期:2010

摘要

Linearized catalytic reaction equations (modelling, for example, the dynamics of 遺傳 regulatory 網絡s), under the constraint that expression levels, i.e. molecular concentrations of nucleic material, are positive, exhibit non-trivial dynamical properties, which depend on the average connectivity of the reaction 網絡. In these systems, an inflation of the edge of 混沌 and multi-stability have been demonstrated to exist. The positivity constraint introduces a 非線性ity, which makes chaotic dynamics possible. Despite the simplicity of such minimally 非線性 systems, their basic properties allow us to understand the fundamental dynamical properties of complex 生物 reaction 網絡s. We analyse the 李雅普諾夫 spectrum, determine the probability of finding stationary oscillating solutions, demonstrate the effect of the 非

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