Courant Institute of Mathematical Sciences

About: Courant Institute of Mathematical Sciences is a education organization based out in New York, New York, United States. It is known for research contribution in the topics: Nonlinear system & Boundary value problem. The organization has 2414 authors who have published 7759 publications receiving 439773 citations. The organization is also known as: CIMS & New York University Department of Mathematics.

An Age Dependent Epidemic Model

Abstract: The model presented here describes the spread of an infection in a population by keeping track of the chronological ages of the participants as well as their “class ages” (ie the length of time since entering their present state) The reasoning behind this model is similar to that used in the equation of age dependent population growth

Global mild solutions of Navier-Stokes equations

Abstract: We establish a global well-posedness of mild solutions to the three-dimensional, incompressible Navier-Stokes equations if the initial data are in the space X -1 defined by X -1 = {f E D'(R 3 ): ∫ ℝ 3 |ξ| -1 |f|dξ < ∞} and if the norms of the initial data in X -1 are bounded exactly by the viscosity coefficient μ.

Self-consistent dynamolike activity in turbulent plasmas.

Abstract: The evolution of turbulent plasmas is investigated within the framework of resistive magnetohydrodynamics The functional form of the mean electric field is derived for fluctuations generated by tearing and resistive-interchange modes It is shown that a bath of such local and global modes in pinches causes toroidal field reversal with finite pressure gradients in the plasma

DDX5 and its associated lncRNA Rmrp modulate TH17 cell effector functions

Abstract: T helper 17 (TH17) lymphocytes protect mucosal barriers from infections, but also contribute to multiple chronic inflammatory diseases. Their differentiation is controlled by RORγt, a ligand-regulated nuclear receptor. Here we identify the RNA helicase DEAD-box protein 5 (DDX5) as a RORγt partner that coordinates transcription of selective TH17 genes, and is required for TH17-mediated inflammatory pathologies. Surprisingly, the ability of DDX5 to interact with RORγt and coactivate its targets depends on intrinsic RNA helicase activity and binding of a conserved nuclear long noncoding RNA (lncRNA), Rmrp, which is mutated in patients with cartilage-hair hypoplasia. A targeted Rmrp gene mutation in mice, corresponding to a gene mutation in cartilage-hair hypoplasia patients, altered lncRNA chromatin occupancy, and reduced the DDX5-RORγt interaction and RORγt target gene transcription. Elucidation of the link between Rmrp and the DDX5-RORγt complex reveals a role for RNA helicases and lncRNAs in tissue-specific transcriptional regulation, and provides new opportunities for therapeutic intervention in TH17-dependent diseases.