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Peptides and proteins possess an inherent propensity to self-assemble into generic fibrillar nanostructures known as amyloid fibrils, some of which are involved in medical conditions such as Alzheimer disease. In certain cases, such structures can self-propagate in living systems as prions and transmit characteristic traits to the host organism. The(More)
Prions are proteins that can undergo a heritable conformational change to an aggregated amyloid-like state, which is then transmitted to other similar molecules. Ure2, the nitrogen metabolism regulation factor of Saccharomyces cerevisiae, shows prion properties in vivo and forms amyloid fibrils in vitro. Ure2 consists of an N-terminal prion-inducing domain(More)
In this paper, we study synchronization and asynchronization in a Coupled Lorenz-type Map Lattice (CLML). Lorenz-type map forms a chaotic system with an appropriate discontinuous function. We prove that in a CLML with suitable coupling strength, there is a subset of full measure in the phase space such that chaotic synchronization occurs for any orbit(More)
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