Random and cooperative phenomena in multicomponent dynamic systems composed of motor proteins and cytoskeletal filaments (Stochastische und kooperative Phänomene in multikomponentigen dynamischen Synthesen bestehend aus Motormolekülen und Zytoskelettfilam

我们的目标是从理论上分析由具有结构和弹性的“被动”细丝和显示运动活性的“主动”蛋白质组成的多组分动态系统中的随机和协作现象。具体地说，我们将研究两个系统：(A)马达蛋白与细胞骨架细丝的结合和(B)由分子马达和半柔性聚合物组成的活性网络。(A)将确定作为溶液浓度和表征特定类型马达蛋白的参数的函数的二聚体蛋白质在晶格上的平衡结合化学计量比。我们将进一步研究不解离的不可逆结合和向平衡的松弛行为。(B)有源网络的材料性质将使用统计力学和非平衡物理的方法来确定。特别是，我们将计算动力结构系数。我们将与R·默克尔博士密切合作，他通过DLS试验性地研究了主动肌球蛋白网络。

Our objective is to theoretically analyze random and cooperative phenomena in multicomponent dynamic systems composed of a "passive" filament, which is characterized by its structure and elasticity, and an "active" protein showing motor activity. Specifically we will study two systems: (a) binding of motor proteins to cytoskeletal filaments and (b) active networks composed of molecular motors and semiflexible polymers. (a) The equilibrium binding stoichiometry of dimeric proteins on lattices as a function of solution concentration and parameters characterizing the specific type of motor protein will be determined. We will further investigate irreversible binding without dissociation and the relaxational behavior towards equilibrium. (b) The material properties of active networks will be determined using methods from statistical mechanics and non-equilibrium physics. In particular we will calculate the dynamic structure factor. We will closely cooperate with Dr. R. Merkel, who studies active actomyosin networks via DLS experimentally.