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Abstract Autonomous oscillation and cell cycle clustering in yeast cultures has attracted great interest recently, and responsive/signaling-feedback models have been proposed to explain this phenomenon. Here we apply a nonlinear… Click to show full abstract
Abstract Autonomous oscillation and cell cycle clustering in yeast cultures has attracted great interest recently, and responsive/signaling-feedback models have been proposed to explain this phenomenon. Here we apply a nonlinear physiologically structured partial differential equation model of the cell population to describe clustering in yeast cultures. The existence and uniqueness of the solutions and the linear stability of the stationary state are discussed. Some results regarding clustering are proven where the solutions of the partial differential equation converge to traveling delta measures.
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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