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math.AP2024★ 1 cited
On a Stochastic PDE Model for Epigenetic Dynamics
Pablo Padilla-Longoria, Jesus Sierra
We propose a stochastic model to investigate epigenetic mutations, i.e., modifications of the genetic information that control gene expression patterns in a cell but do not alter t…
math.AP2023
A Probabilistic Approach to the Existence of Solutions to Semilinear Elliptic Equations
Ma Elena Hernandez-Hernandez, Pablo Padilla-Longoria
We study a semilinear elliptic equation with a pure power nonlinearity with exponent , and provide sufficient conditions for the existence of positive solutions. These conditi…