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Eleven patients with heparin-induced thrombocytopenia were studied. Thrombocytopenia appeared 3-16 days following the initiation of prophylactic or therapeutic doses of heparin. The mean lowest platelet count recorded was 48,000/mm3. When heparin was stopped, recovery from thrombocytopenia began within 24 hours and was complete by ten days. Two patients developed fatal thromboses, and two others had myocardial infarctions while thrombo-cytopenic. In the serum of seven patients, including three of the four with arterial thrombosis, a heparin-dependent platelet aggregating factor was present. The factor caused release of platelet 14C serotonin but did not lyse platelets. It was present in the globulin fraction of all positive sera, and in one serum studied it was isolated in the IgG/IgA immunoglobulin fraction. The factor was not present in 16 normal sera or in the sera of 15 nonthrombocytopenic patients receiving heparin. Our observations suggest that heparin-induced thrombocytopenia is common and that, in some patients it may be accompanied by severe arterial thrombosis. In vivo platelet aggregation is a possible explanation for the thrombocytopenia and the thrombosis in this disorder.

Background and Purpose Texture analysis has been applied to medical images to assist in tumor tissue classification and characterization. In this study, we obtained textural features from parametric (rCBV) maps of dynamic susceptibility contrast-enhanced magnetic resonance imaging images in glioblastoma and assessed their relationship with patient survival. Materials and Methods MR perfusion data of 24 patients with glioblastoma from the Cancer Genome Atlas was analyzed in this study. One- and two-dimensional texture feature ratios as well as kinetic textural features based on rCBV values in the contrast-enhancing lesion and the non-enhancing lesion of the tumor were obtained. Receiver Operating Characteristic, Kaplan-Meier analysis, and multivariate Cox proportional hazards regression analyses were used to assess the relationship between texture feature ratios and overall survival. Results Several feature ratios are capable of stratifying survival in a statistically significant manner. These feature ratios correspond to homogeneity (p=0.008, based on log-rank test), angular second moment(p=0.003), inverse difference moment(p=0.013) and entropy(p=0.008). Multivariate Cox proportional hazards regression analysis showed that homogeneity, angular second moment, inverse difference moment, and entropy from the contrast-enhancing lesion are significantly associated with overall survival. For the non-enhancing lesion, skewness and variance ratios of rCBV texture were associated with OS in a statistically significant manner. For the kinetic texture analysis, the Haralick correlation feature showed a p-value close to 0.05. Conclusion Our study reveals that texture feature ratios from contrast-enhancing and non-enhancing lesion and kinetic texture analysis obtained from perfusion parametric maps provide useful information for predicting the survival in the patients with glioblastoma.

In this paper, we analyze multi-dimensional (R X , B)-almost periodic type functions and multi-dimensional Bohr B-almost periodic type functions. The main structural characterizations and composition principles for the introduced classes of almost periodic functions are established. Several applications of our abstract theoretical results to the abstract Volterra integrodifferential equations in Banach spaces are provided, as well. Examples and applications to the abstractVolterra integro-differential equations 3.1. Application to nonautonomous retarded functional evolution equations 4. Appendix 4.1. n-Parameter strongly continuous semigroups 4.2. Multivariate trigonometric polynomials and approximations of periodic functions of several real variables References 2010 Mathematics Subject Classification. 42A75, 43A60, 47D99. Key words and phrases. (R, B)-Multi-almost periodic type functions, (R X , B)-multi-almost periodic type functions, Bohr B-almost periodic type functions, composition principles, abstract Volterra integro-differential equations. Marko Kostić is partially supported by grant 451-03-68/2020/14/200156 of Ministry of Science and Technological Development, Republic of Serbia. Manuel Pinto is partially supported by Fondecyt 1170466.The Euler Gamma function is denoted by Γ(•). If t 0 ∈ R n and ǫ > 0, then we set B(t 0 , ǫ)Now we are ready to briefly explain the organization and main ideas of this paper. In Subsection 1.1, we recall the basic facts and definitions about vectorvalued almost periodic functions of several real variables; in Subsection 1.2, we recall some applications of vector-valued almost periodic functions of several real variables made so far. Definition 2.1 and Definition 2.2 introduce the notion of (R, B)-multi-almost periodicity and the notion of (R X , B)-multi-almost periodicity for a continuous function F : I × X → Y, respectively. The convolution invariance of space consisting of all (R X , B)-multi-almost periodic functions is stated in Proposition 2.5, while the supremum formula for the class of (R, B)-multi-almost periodic functions is stated in Proposition 2.6.The notion of Bohr B-almost periodicity and the notion of B-uniform recurrence for a continuous function F : I × X → Y are introduced in Definition 2.9, provided that the region I satisfies the semigroup property I + I ⊆ I. Numerous illustrative examples of Bohr B-almost periodic functions and B-uniformly recurrent functions are presented in Example 2.12 and Example 2.13. In Definition 2.14, we introduce the notion of Bohr (B, I ′ )-almost periodicity and (B, I ′ )-uniform recurrence, provided that ∅ = I ′ ⊆ I ⊆ R n , F : I × X → Y is a continuous function and I + I ′ ⊆ I. After that, we provide several examples of Bohr (B, I ′ )-almost periodic functions and (B, I ′ )-uniformly recurrent functions in Example 2.15. The relative compactness of range F (I × B) for a Bohr B-almost periodic function F : I × X → Y,where B ∈ B, is analyzed in Proposition 2.16. The Bochner criterion for Bohr B-almost periodic functions is sta...