The paper presents a concept of a coloring — an extension of deterministic parity automata. A coloring K is a function A∗ → N satisfying ∀α∈Aω lim inf n→∞ K(α n) <∞. Every coloring defines a subset of A by the standard parity condition [K] = { α ∈ A : lim inf n→∞ K(α n) ≡ 0 mod 2 } . We show that sets defined by colorings are exactly all ∆3 sets in the standard product topology on A. Furthermor...

hhLIM [human heart LIM (Lin-11/IsI-1/Mec-3) protein] is a muscle-specific LIM-only protein that consists of two LIM motifs. hhLIM functions as a positive regulator for cardiac hypertrophy. Here we report that hhLIM serves as a cofactor regulating the expression of the ANF (atrial natriuretic factor) gene in H9c2 rat cardiomyoblast cells. We found that hhLIM promoted the expression of the ANF ge...

CLP36 belongs to the ALP subfamily of PDZ-LIM proteins and has a PDZ domain at its N-terminal and a LIM domain at its C-terminal. It has been shown that CLP36 is localized to stress fibers through interaction with alpha-actinin, but its function is still unclear. To investigate the role of CLP36 in stress fibers, we suppressed CLP36 expression in BeWo cells by RNAi and examined the phenotypic c...

1. O’Rand MG, Widgren EE, Fisher SJ. Characterization of the rabbit sperm membrane autoantigen, RSA, as a lectin-like zona binding protein. Dev Biol. 1988;129:231-240. 2. Lim SH, Wang Z, Chiriva-Internati M, Xue Y. Sperm protein 17 is a novel cancer-testis antigen in multiple myeloma. Blood. 2001;97:1508-1510. 3. Chiriva-Internati M, Wang Z, Salati E, Timmins P, Lim SH. Tumor vaccine for ovaria...

Let f : Rn+1 → R be a polynomial with an isolated critical point at 0 and let ft : Rn+1 → R be a one-parameter deformation of f . We study the differential geometry of the real Milnor fiber Cε t = f −1 t (0) ∩ B n+1 ε . More precisely, we express the following limits : lim ε→0 lim t→0 1 εk ∫ Cε t sn−k(x) dx, where sn−k is the (n− k)-th symmetric function of curvature, in terms of the following ...

Stopped-flow fluorometry was used to study the kinetics of the reactive center loop insertion occurring during the reaction of N-((2-(iodoacetoxy)ethyl)-N-methyl)amino-7-nitrobenz-2-oxa-3-diazole (NBD) P9 plasminogen activator inhibitor-1 (PAI-1) with tissue-(tPA) and urokinase (uPA)-type plasminogen activators and human pancreatic elastase at pH 5.5-8.5. The limiting rate constants of reactive...

We consider N single server infinite buffer queues with service rate β. Customers arrive at rate N α, choose L queues uniformly, and join the shortest one. The stability condition is α < β. We study in equilibrium the fraction of queues of length at least k ≥ 0. We prove a functional central limit theorem on an infinite-dimensional Hilbert space with its weak topology, with limit a stationary O...

(a) [Problem 2.2 in DFT] For u 1 : For u 2 : For u 3 : Note that u 1 = u 2 2 = ∞ 0 1 · dt = ∞, while u ∞ = 1 and P ow(u) = lim T →∞ 1 2T T 0 1 · dt = 1 2. T −T u 2 (t)dt = T 0 u 2 (t)dt = T 0 |u(t)|dt = k−1 i=0 2 2i for 2 2k−1 ≤ T ≤ 2 2k , k ≥ 1. Hence, u 1 = u 2 = ∞ while u ∞ = 1. Finally: P ow(u) = lim T →∞ 1 2T T −T u 2 (t)dt =    lim k→∞ 1 2 2k k−1 i=0 2 2i = 1 4 when T = 2 2k−1 , k ≥ 1 ...

In zebrafish, individual primary motoneurons can be uniquely identified by their characteristic cell body positions and axonal projection patterns. The fate of individual primary motoneurons remains plastic until just prior to axogenesis when they become committed to particular identities. We find that distinct primary motoneurons express particular combinations of LIM homeobox genes. Expressio...

The LIM-only protein Lmo2, activated by chromosomal translocations in T-cell leukaemias, is normally expressed in haematopoiesis. It interacts with TAL1 and GATA-1 proteins, but the function of the interaction is unexplained. We now show that in erythroid cells Lmo2 forms a novel DNA-binding complex, with GATA-1, TAL1 and E2A, and the recently identified LIM-binding protein Ldb1/NLI. This oligo...