T cells navigate complex microenvironments to initiate and modulate antigen-specific immune responses. While recent intravital microscopy study revealed that migration of T cells were guided by various tissue microstructures containing unique nanoscale topographical structures, the effects of complex nanotopographical structures on the migration of T cells have not been systematically studied. ...

When a real homotopy is used for solving a polynomial system with real coefficients, bifurcation of some of the homotopy paths at singular points is inevitable. The main result of this paper shows that, generically, the solution set of a real homotopy contains no singular point other than a finite number of quadratic turning points. At a quadratic turning point, the bifurcation phenomenon is qu...

In this paper, we investigate infinite product representation of the solution of a Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite interval. First, by using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, K. Wilcken-Stoeber, Indefinite eigenvalue problems with several singular points and turning points, Math. N...

This study examined the critical events defining the temporal progression of unwanted relationship pursuit. Retrospective interviews elicited the experiences of 42 victims of obsessive relational intrusion (ORI) and its extreme manifestation, stalking. Participants described turning points within their ORI experiences, and constructed graphs representing the progression of turning points over t...

Women and minorities who make unadaptive starts in the professoriate evidence a series of reliable turning points early in their career, typically within their first few semesters on campus. Origins of such career fault lines begin with deficits, notably in regard to preestablished mentoring and social networks. The simple nature of these turning points also implies strategies for preventing or...

A formalism is developed to study certain five-term recursion relations by discrete phase integral (or Wentzel-Kramers-Brillouin) methods. Such recursion relations arise naturally in the study of the Schrödinger equation for certain spin Hamiltonians. The conditions for the validity of the phase integral approximation are derived. It is shown that in contrast to the three-term problem, it is no...

with our sincerest congratulations on his being awarded Prix de l’Etat (Academie des Science). One of the central issues of this article is the introduction of the notion of virtual turning points for higher order Painlevé equations, and two of the authors (Kawai and Takei), together with T. Aoki, fondly remember the stimulating and comfortable conference (Algebraic analysis of singular perturb...

Turning point is a key concept in the developmental life course approach, but is currently understudied in Family Medicine, and merits further research. A turning point often involves a particular event, experience, or awareness of it, that results in changes in the direction of a pathway or persistent trajectory over the long-term. Turning points are transitions of healthcare, or changes demog...

A migraine attack, a banking crisis or the point of no return for climate change; all these seemingly different phenomena have at least one important thing in common. They suppose the transition from one stable state to another. The climate or the banking system may seem stable and capable of withstanding small or large crises. However, they can deteriorate progressively until reaching a point ...

Dictyostelium discoideum slugs migrating in the absence of external stimuli tend to continue migrating in the original randomly 'chosen' direction. Spontaneous deviations from the starting direction accumulate with time at a rate that measures the 'physiological noise' in the slugs' steering mechanism. Most of the spontaneous turning signals arise in the transduction chain 'downstream' of the c...