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In developmental biology, invagination is a mechanism that takes place during gastrulation. This mechanism or cell movement happens mostly in the vegetal pole. Invagination consists of the folding of an area of the exterior sheet of cells towards the inside of the blastula. In each organism, the complexity will be different depending on the number of cells. Invagination can be referenced as one of the steps of the establishment of the body plan.[1][2]The term, originally used in embryology, has been adopted in other disciplines as well. There is more than one type of movement for invagination. Two common types are axial and orthogonal. The difference between the production of the tube formed in the cytoskeleton and extracellular matrix. Axial can be formed at a single point along the axis of a surface. Orthogonal is linear and trough. [3]

The invagination in Amphioxus is the first cell movement of gastrulation. This process was first described by Conklin. During gastrulation, the blastula will be transformed by the invagination. The endoderm will fold towards the inner part and that way the blastocoel will be gone transforming into like a cup-shaped structure with a double wall. The inner wall will be called the archenteron; the primitive gut. The archenteron will open to the exterior through the blastopore. The outer wall will become the ectoderm. Later forming the epidermis and neural crest.[7]
In tunicates, invagination is the first mechanism that takes place during gastrulation. The four largest endoderm cells induce the invagination process in the tunicates. Invagination consists of the internal movements of a sheet of cells (the endoderm) based on changes in their shape. The blastula of the tunicates is a little flattened in the vegetal pole making a change of shape from a columnar to a wedge shape. Once the endoderm cells were invaginated, the cells will keep moving beneath the ectoderm. Later, the blastopore will be formed and with this, the invagination process is complete. The blastopore will be surrounded by the mesoderm by all sides.[8]
In Continental philosophy, the term invagination is used to explain a special kind of metanarrative. It was first used by Maurice Merleau-Ponty[9] (French: invagination) to describe the dynamic self-differentiation of the 'flesh'. It was later used by Rosalind E. Krauss and Jacques Derrida ("The Law of Genre", Glyph 7, 1980); for Derrida, an invaginated text is a narrative that folds upon itself, "endlessly swapping outside for inside and thereby producing a structure en abyme".[10] He applies the term to such texts as Immanuel Kant's Critique of Judgment[10] and Maurice Blanchot's La Folie du Jour.[11] Invagination is an aspect of différance, since according to Derrida it opens the "inside" to the "other" and denies both inside and outside a stable identity.[12]