Waddington’s Landscape Sample Clauses

Waddington’s Landscape. As described in Section 1.2.2, Waddington envisioned a (epigenetic) landscape (Fig. 1.3) that considers cell differentiation as a surface. Cells would follow the surfaces defined gravity xxxxx to decide on the cell fate at each step of differentiation. We propose a probabilistic representation of Xxxxxxxxxx’x landscape, which is defined by the underlying manifold density, described by the magnification factor [10] ∶= ∀ ≤ ≤ Wi √det Mi 1 i N (4.2) of the expected manifold metric tensor. The magnification factor describes the den- sity of the space given by the manifold metric tensor at every point in the latent