Non-deterministic linear thresholding systems reveal their deterministic origins

• DOI: 10.48550/arxiv.2311.13339
• Publication Date: 2023-01-01
• Authors: Laddach, Anna; Shapiro, Michael
• Keywords: 37N25, 60J05, 92B20; Quantitative Biology - Neurons and Cognition; FOS: Biological sciences; Neurons and Cognition (q-bio.NC)

Linear thresholding systems have been used as a model of neural activation and have more recently been proposed as a model of gene activation. Deterministic linear thresholding systems can be turned into non-deterministic systems by the introduction of noise. Under mild conditions on the noise, we show that the deterministic model can be deduced from the probabilities of the non-deterministic model.<br/>4 pages<br/>