A Markov Process which Gives Rise to a Semigroup of Expansive Operators

A unique lineage gives rise to the meibomian gland

PURPOSE To identify the lineage that contributes to the morphogenesis of the meibomian gland. METHODS To examine which cell lineage gives rise to the meibomian gland, the expression of Pax6 as well as that of various cytokeratin markers, including keratin 14 (Krt14), Krt15, Krt4, and Krt10, was examined with immunofluorescent staining of C57BL/6J mouse eyelids from P2 to P11 pups and adult mi...

Entropy gives rise to topologically associating domains

We investigate chromosome organization within the nucleus using polymer models whose formulation is closely guided by experiments in live yeast cells. We employ bead-spring chromosome models together with loop formation within the chains and the presence of nuclear bodies to quantify the extent to which these mechanisms shape the topological landscape in the interphase nucleus. By investigating...

How Imagination Gives Rise To Knowledge

A long and well-established philosophical tradition assigns the imagination a central role in the justification of our modal beliefs. Just as perceiving a state of affairs justifies us in believing that it is actual, imagining a state of affairs is thought to justify us in believing that it is possible. This tradition has its fair share of opponents, and even among its adherents there is by no ...

Pseudodifferential operators associated with a semigroup of operators

A semigroup of operators in convexity theory

We consider three operators which appear naturally in convexity theory and determine completely the structure of the semigroup generated by them.