1999/07/14 by Dirk Drasdo, Drasdo, Dirk
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Caveolin-1 and cellular processes #FOS: Biological sciences #FOS: Physical sciences #Quantitative Biology (q-bio) #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech #physics.bio-ph #q-bio
paper · pdf · doi:10.48550/arxiv.cond-mat/9907208
9 pages, 3 figures, minor modifications, added references
openalex publication_date 1999/07/14 · arxiv created 1999/07/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Growth and folding in one-layered model tissue sheets are studied in a stochastic, lattice-free single cell model which considers the discrete cellular structure of the tissue, and a coarse grained analytical approach. The polarity of the tissue sheet is considered by a bending term. Cell division gives rise to a locally increasing metric. An exponential and a power-law growth regime are identified. In both regimes folding occurs as soon as the bending contribution becomes too small to compensate the destabilizing effect of the cell proliferation. The potential biological relevance is discussed.