Wellposedness of a DNA replication model based on a nucleation-growth process Nieto Muñoz, Juan José Vásquez Ávila, María Ofelia DNA replication model Nucleation-and-growth model Partial differential equations - Cauchy problem Crystal growth KJMA In this paper, we analyze a nonlinear equation modeling the mechanical replication of the DNA molecule based on a Kolmogorov-Jhonson-Mehl-Avrami (KJMA) type model inspired on the mathematical analogy between the DNA replication process and the crystal growth. There are two different regions on the DNA molecule deep into a duplication process, the connected regions where the base pairs have been already duplicated, called eyes or islands and the regions not yet duplicated, called holes. The Cauchy problem associated with this model will be analyzed, where some dependences and nonlinearities on the replication velocity and the origins of replication are introduced. 2025-01-28T11:28:41Z 2025-01-28T11:28:41Z 2022-08 journal article J. Nieto, O. Vásquez, Wellposedness of a DNA replication model based on a nucleation-growth process, Comm. Pure Appl. Anal. 21(8), (2022), 2643-2660. https://hdl.handle.net/10481/100741 https://doi.org/10.3934/cpaa.2022065 eng embargoed access AIMS - American Institute of Mathematical Sciences