Saturating Receiver and Receptor Competition in Synaptic DMC: Deterministic and Statistical Signal Models
Saturating Receiver and Receptor Competition in Synaptic DMC: Deterministic and Statistical Signal Models
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突触 DMC 中的饱和接收器和受体竞争：确定性和统计信号模型
DOI：
10.1109/tnb.2021.3092279
复制
发表时间：
2021
影响因子：
3.9
通讯作者：
R. Schober
中科院分区：
文献类型：
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作者：
S. Lotter;M. Schäfer;J. Zeitler;R. Schober
突触通信基于生物分子通信系统，可作为设计合成分子通信系统的蓝图。然而，由于神经递质（nt）对突触后受体的竞争可能导致分子受体饱和，突触MC的物理建模变得复杂。接收器饱和使系统在释放的nt数量上呈现非线性，这在现有的分析模型中通常被忽略。此外，由于配体对受体的竞争（反之亦然），分子受体上的单个结合事件通常不是统计独立的，通常用于统计接收信号的二项模型不适用。因此，在这项工作中，我们提出了一种基于菲克扩散方程的特征函数展开的状态空间描述的受体饱和的新的确定性模型。该方法数值稳定，计算效率高。采用所提出的确定性模型，我们表明，与忽略受体占用的情况相比，分子受体的饱和有效地降低了预期接收信号的峰值，并加速了nt的清除。我们进一步推导了接收信号的超几何分布统计模型，该模型解释了nt对受体的竞争和受体对nt的竞争。所提出的统计模型揭示了在存在竞争的情况下，信号统计是如何分别由释放的nt数量、受体数量和受体结合动力学形成的。特别是，我们表明这些参数对信号方差的影响在性质上不同，这取决于nt和受体的相对数量。最后，通过基于粒子的计算机模拟验证了所提出的确定性和统计模型的准确性。
Synaptic communication is based on a biological Molecular Communication (MC) system which may serve as a blueprint for the design of synthetic MC systems. However, the physical modeling of synaptic MC is complicated by the possible saturation of the molecular receiver caused by the competition of neurotransmitters (NTs) for postsynaptic receptors. Receiver saturation renders the system behavior nonlinear in the number of released NTs and is commonly neglected in existing analytical models. Furthermore, due to the ligands’ competition for receptors (and vice versa), the individual binding events at the molecular receiver are in general not statistically independent and the commonly used binomial model for the statistics of the received signal does not apply. Hence, in this work, we propose a novel deterministic model for receptor saturation in terms of a state-space description based on an eigenfunction expansion of Fick’s diffusion equation. The presented solution is numerically stable and computationally efficient. Employing the proposed deterministic model, we show that saturation at the molecular receiver effectively reduces the peak-value of the expected received signal and accelerates the clearance of NTs as compared to the case when receptor occupancy is neglected. We further derive a statistical model for the received signal in terms of the hypergeometric distribution which accounts for the competition of NTs for receptorsandthe competition of receptors for NTs. The proposed statistical model reveals how the signal statistics are shaped by the number of released NTs, the number of receptors, and the binding kinetics of the receptors, respectively, in the presence of competition. In particular, we show that the impact of these parameters on the signal variance is qualitatively different depending on the relative numbers of NTs and receptors. Finally, the accuracy of the proposed deterministic and statistical models is verified by particle-based computer simulations.
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E.Sada；H.Kumazawa 和 M.Aoyama：化学工程通讯。
DOI：
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发表时间：
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期刊：
影响因子：
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作者：
通讯作者：
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影响因子：
1.3
作者：
Robin Pemantle
通讯作者：
Robin Pemantle
DOI：
10.1109/icc40277.2020.9149090
发表时间：
2019-12
期刊：
ICC 2020 - 2020 IEEE International Conference on Communications (ICC)
影响因子：
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作者：
Sebastian Lotter;Arman Ahmadzadeh;R. Schober
通讯作者：
Sebastian Lotter;Arman Ahmadzadeh;R. Schober
概率吸收体存在下基于扩散的分子通信通道：单受体模型和拥塞分析
影响因子：
3.9
作者：
S. Salehi;N. Moayedian;E. Alarcón
通讯作者：
E. Alarcón
DOI：
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发表时间：
2019
期刊：
European Control Conference
影响因子：
--
作者：
Maximilian Schäfer;Alexander Ruderer;R. Rabenstein
通讯作者：
R. Rabenstein