Wellposedness of a DNA replication model based on a nucleation-growth process

DOI10.3934/cpaa.2022065zbMath1501.35416OpenAlexW4226392630MaRDI QIDQ2087543

M. O. Vásquez, Juanjo Nieto

Publication date: 21 October 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022065

zbMATH Keywords

Cauchy problempartial differential equationscrystal growthnucleation-and-growth modelDNA replication modelKJMA

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Crystalline structure (74E15) Stefan problems, phase changes, etc. (80A22) Statistical mechanics of polymers (82D60) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Protein sequences, DNA sequences (92D20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Crystals in solids (74N05) General theory of mathematical modeling (00A71) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Long-time asymptotics for polymerization models
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