Formation of signaling protein complexes is crucial for proper signal transduction. Scaffold proteins in MAP kinase pathways are thought to facilitate complex assembly, thereby promoting efficient and specific signaling. To elucidate the assembly mechanism of scaffold complexes in mammals, we attempted to rationally rewire JIP1-dependent JNK MAP kinase pathway via alternative assembly of JIP1 c...

Abstract moment maps arise as a generalization of genuine moment maps on symplectic manifolds when the symplectic structure is discarded, but the relation between the mapping and the action is kept. Particular examples of abstract moment maps had been used in Hamiltonian mechanics for some time, but the abstract notion originated in the study of cobordisms of Hamiltonian group actions. In this ...

The existence of a Kähler form give strong topological constraints via Hodge theory. Can we get similar constraints on algebraic maps? Let f : X → Y a proper morphism. Our goal is going to be to linearize the problem. For this lecture, we will assume f is projective and smooth, to simplify the problem. In fact, we will assume X and Y are nonsingular. So our map factors X → P × Y → Y and df is s...

Uncertainty exists widely in geographic data. However, it is often disregarded during data analysis and decision making. Proper visualization of uncertainty can help map users understand uncertainty in geographic data and make informed decisions. The study reported in this paper examines map users’ perception of and preferences for different visual variables to report uncertainty on bivariate m...

Abstract moment maps arise as a generalization of genuine moment maps on symplectic manifolds when the symplectic structure is discarded, but the relation between the mapping and the action is kept. Particular examples of abstract moment maps had been used in Hamiltonian mechanics for some time, but the abstract notion originated in the study of cobordisms of Hamiltonian group actions. In this ...

Three sections of the same distance education class completed a series of Web-based concept map assessments using one of two methods. Open-ended maps applied in section 1 led students to conduct more relational thinking overall, but variance in map items was very high introducing more subjectivity in scoring. Pre-selected term mapping applied in sections 2–3 led students to correctly classify m...

Patients recovering in critical care units are continuously monitored for their hemodynamic states and accordingly given proper medication. The widely monitored hemodynamic variable is the Mean Arterial Pressure (MAP), which is regulated by infusion of vasoactive drugs like Sodium Nitroprusside (SNP). Presently, physicians check the patients’ MAP at regular intervals. This task is time-consumin...

We introduce a square root map on Sturmian words and study its properties. Given a Sturmian word of slope α, there exists exactly six minimal squares in its language (a minimal square does not have a square as a proper prefix). A Sturmian word s of slope α can be written as a product of these six minimal squares: s = X2 1X 2 2X 2 3 · · · . The square root of s is defined to be the word √ s = X1...

This paper introduces three sets of sufficient conditions, for generating bijective simplicial mappings of manifold meshes. A necessary condition for a simplicial mapping of a mesh to be injective is that it either maintains the orientation of all elements or flips all the elements. However, these conditions are known to be insufficient for injectivity of a simplicial map. In this paper we prov...