沿表面滑动：带有固定配体和可动配体的颗粒
Sliding across a surface: particles with fixed and mobile ligands
AI总结：
本研究针对配体-受体桥接锚定的表面颗粒动力学，推导了可动与固定配体颗粒的滑动扩散常数解析方程，经反应-扩散模拟验证，可助力从实验轨迹推断生物系统微观参数。
摘要：
建立功能化颗粒在界面处迁移率的定量模型，对于理解生物学和纳米技术中的重要系统至关重要。本研究中，我们探究了通过配体-受体桥接锚定在功能化表面上的颗粒所呈现的涌现动力学。我们考虑具有可逆桥接的系统，其中配体-受体对以有限的反应速率结合/解离。对于给定的桥接集合，由于桥接的伸展性有限，颗粒仅能探索表面的极小部分。我们表明，在时间尺度长于桥接寿命时，颗粒的平均位置会从其初始值扩散开。我们将研究结果提炼为两个解析方程，分别用于描述携带可动配体和固定配体的颗粒的滑动扩散常数。我们使用反应-扩散模拟定量验证了我们的理论预测。我们的结果结合近期文献，将能够从实验轨迹推断复杂生物系统中起作用的微观参数。
英文摘要：
A quantitative model of the mobility of functionalized particles at the interface is pivotal to understanding important systems in biology and nanotechnology. In this work, we investigate the emerging dynamics of particles anchored through ligand-receptor bridges to functionalized surfaces. We consider systems with reversible bridges in which ligand-receptor pairs bind/unbind with finite reaction rates. For a given set of bridges, the particle can explore a tiny fraction of the surface as the extensivity of the bridges is finite. We show how at time scales longer than the bridges' lifetime, the averaged position of the particle diffuses away from its initial value. We distill our findings into two analytic equations for the sliding diffusion constant of particles carrying mobile and fixed ligands. We quantitatively validate our theoretical predictions using reaction-diffusion simulations. Our results, along with recent literature, will allow inferring the microscopic parameters at play in complex biological systems from experimental trajectories.
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