Theoretical Physics Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam; and A. I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, 2 Alikhanian Brothers St., Yerevan 375036, Armenia.
Phys Rev E. 2017 Oct;96(4-1):042413. doi: 10.1103/PhysRevE.96.042413. Epub 2017 Oct 31.
We investigate the collective stationary sensing using N communicative cells, which involves surface receptors, diffusive signaling molecules, and cell-cell communication messengers. We restrict the scenarios to the signal-to-noise ratios (SNRs) for both strong communication and extrinsic noise only. We modified a previous model [Bialek and Setayeshgar, Proc. Natl. Acad. Sci. USA 102, 10040 (2005)PNASA60027-842410.1073/pnas.0504321102] to eliminate the singularities in the fluctuation correlations by considering a uniform receptor distribution over the surface of each cell with a finite radius a. The modified model enables a simple and rigorous mathematical treatment of the collective sensing phenomenon. We then derive the scaling of the SNR for both juxtacrine and autocrine cases in all dimensions. For the optimal locations of the cells in the autocrine case, we find identical scaling for both two and three dimensions.
我们研究了涉及表面受体、扩散信号分子和细胞间通讯信使的 N 个通信单元的集体静态感应。我们将场景限制为仅存在强通信和外部噪声的信噪比 (SNR)。我们修改了以前的模型 [Bialek 和 Setayeshgar, Proc. Natl. Acad. Sci. USA 102, 10040 (2005)PNASA60027-842410.1073/pnas.0504321102]，通过考虑每个细胞表面具有有限半径 a 的均匀受体分布，消除了波动相关性中的奇点。修改后的模型使集体感应现象的简单而严格的数学处理成为可能。然后，我们推导出了所有维度中旁分泌和自分泌情况的 SNR 标度。对于自分泌情况下细胞的最佳位置，我们发现二维和三维的标度相同。
