many cell lines, when cultured under proper conditions, can form three dimensionalstructures called multicellular spheroids. these spheroids resemble in vivo tumor models in severalaspects. therefore, studying growth characteristics and behavior of spheroids is beneficial inunderstanding the behavior of tumors under various experimental conditions. in this work, we havestudied the growth proper...

We report a differential splitter consisting of an asymmetric double-step multimode rib waveguide and a Y-branch splitter for in-plane photonic transduction of photonic microcantilever deflection. Arrays of photonic microcantilevers are integrated with differential splitters and an optical waveguide network to demonstrate uniformity and sensitivity of transduction. Measurement results from mult...

OBJECTIVE Drug users and HIV-seropositive individuals often show deficits in decision-making; however the nature of these deficits is not well understood. Recent studies have employed computational modeling approaches to disentangle the psychological processes involved in decision-making. Although such approaches have been used successfully with a number of clinical groups including drug users,...

The study of Boolean functions with low c-differential uniformity has become recently an important topic research. However, in odd characteristic case, there are not many results on the (c-)differential that power functions. In this paper, we investigate swapped inverse characteristic, and show their uniformities at most 6 except for some special case.

The original definition of a topological space given by Hausdorff used neighborhood systems. Lattice-valued maps appear in this context when you identify a topology with a monoid in the Kleisli category of the filter monad on SET. H?hle’s notion of a lattice-valued topology [2] uses the same idea and it’s inspired in the classical lattice-valued topologies. Ltopological spaces are motivated by ...

We defined in Ellingsen et al. (2020) a new multiplicative c-differential, and the corresponding c-differential uniformity we characterized known perfect nonlinear functions with respect to this concept, as well inverse function any characteristic. Here, extend, via differential, boomerang introduced at Eurocrypt ’18 by Cid (2018), differential distinguisher of S-boxes block ciphers. investigat...

This paper discusses the existence of solutions of the fractional differential equations D(φ(Du)) = Fu, D(φ(Du)) = f(t, u, Du) satisfying the boundary conditions u(0) = A(u), u(T ) = B(u). Here μ, α ∈ (0, 1], ν ∈ (0, α], D is the Caputo fractional derivative, φ ∈ C(−a, a) (a > 0), F is a continuous operator, A,B are bounded and continuous functionals and f ∈ C([0, T ] × R). The existence result...