2021/01/23 by Atiyeh Fotoohinasab, Fotoohinasab, Atiyeh
Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Evolution and Genetic Dynamics #FOS: Biological sciences #Gene Regulatory Network Analysis #Populations and Evolution (q-bio.PE) #thermodynamics and calorimetric analyses
paper · pdf · doi:10.48550/arxiv.2101.11401
openalex publication_date 2021/01/23 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Parrondo's paradox indicates a paradoxical situation in which a winning\nexpectation may occur in sequences of losing games. There are many versions of\nthe original Parrondo's games in the literature, but the games are played by\ntwo players in all of them. We introduce a new extended version of games played\nby three players and a three-sided biased dice instead of two players and a\nbiased coin in this work. In the first step, we find the part of the parameters\nspace where the games are played fairly. After adding noise to fair\nprobabilities, we combine two games randomly, periodically, and nonlinearly and\nobtain the conditions under which the paradox can occur. This generalized model\ncan be applied in all science and engineering fields. It can also be used for\ngenetic switches. Genetic switches are often made by two reactive elements, but\nthe existence of more elements can lead to more existing decisions for cells.\nEach genetic switch can be considered a game in which the reactive elements\ncompete to increase their molecular concentrations. We present three genetic\nnetworks based on a new generalized Parrondo's games model, consisting of two\nnoisy genetic switches. The combination of them can increase network robustness\nto noise. Each switch can also be used as an initial pattern to construct a\nsynthetic switch to change undesirable cells' fate.\n