Viewing the noise propagation mechanism in a unidirectional transition cascade from the perspective of stability

doi:10.1088/1674-1056/ac0ee7

Abstract Noise and noise propagation are inevitable and play a constructive role in various biological processes. The stability of cell homeostasis is also a critical issue. In the unidirectional transition cascade of colon cells, stem cells (SCs) are the source. They differentiate into transit-amplifying cells (TACs), and TACs differentiate into fully differentiated cells (FDCs). Two differentiation processes are irreversible. The stability factor is introduced so that the noise propagation mechanism from the perspective of stability is studied according to the noise propagation formulas. It is found that the value of the stability factor corresponding to the minimum noise in FDCs may be the best choice to enable colon cells to maintain high stability and low noise of the cascade. Moreover, for the source cell, the total noise only includes intrinsic noise; for the downstream cell with self-proliferation capability, the total noise mainly depends on its intrinsic noise and transmitted noise from upstream cells, and its intrinsic noise is dominant. For the downstream cell without self-proliferation capability, the total noise is mainly determined by transmitted noises from upstream cells, and there is a minimum value. This work provides a new approach for studying the mechanism of noise propagation while considering the stability of cell homeostasis in biological systems.

Keywords: noise noise propagation stability linear approximation

Received: 15 April 2021
Revised: 25 May 2021
Accepted manuscript online: 28 June 2021

PACS:	87.18.Tt	(Noise in biological systems)
	05.45.-a	(Nonlinear dynamics and chaos)
	05.10.Gg	(Stochastic analysis methods)
	02.50.-r	(Probability theory, stochastic processes, and statistics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11605014).

Corresponding Authors: Qi-Ming Pei, Long Jiang
E-mail: qmpei@yangtzeu.edu.cn;jianglong@yangtzeu.edu.cn

Cite this article:

Qi-Ming Pei(裴启明), Bin-Qian Zhou(周彬倩), Yi-Fan Zhou(周祎凡), Charles Omotomide Apata, and Long Jiang(蒋龙) Viewing the noise propagation mechanism in a unidirectional transition cascade from the perspective of stability 2021 Chin. Phys. B 30 118704

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