An approximation scheme for reflected stochastic differential equations

AbstractIn this paper, we consider the Stratonovich reflected SDE dXt=σ(Xt)∘dWt+b(Xt)dt+dLt in a bounded domain O. Letting WtN be the N-dyadic piecewise linear interpolation of Wt, we show that the distribution of the solution (XtN,LtN) to the reflected ODE ẊtN=σ(XtN)ẆtN+b(XtN)+L̇tN converges weakly to that of (Xt,Lt). Hence, we prove a distributional version for reflected diffusions of the famous result of Wong and Zakai.In particular, we apply our result to derive some geometric properties of coupled reflected Brownian motion, especially those properties which have been used in the recent work on the “hot spots” conjecture for special domains

Human synaptonemal complex protein 1 (SCP1): Isolation and characterization of the cDNA and chromosomal localization of the gene.

Synaptonemal complexes (SCs) are structures that are formed between homologous chromosomes (homologs) during meiotic prophase. They consist of two proteinaceous axes, one along each homolog, that are connected along their length by numerous transverse filaments (TFs). The cDNA encoding one major component of TFs of SCs of the rat, rnSCP1, has recently been isolated and characterized. In this paper we describe the isolation and characterization of the cDNA encoding the human protein homologous to rnSCP1, hsSCP1. hsSCP1 and rnSCP1 have 75% amino acid identity. The most prominent structural features and amino acid sequence motifs of rnSCP1 have been conserved in hsSCP1. Most probably, hsSCP1 is functionally homologous to rnSCP1. The hsSCP1 gene was assigned to human chromosome 1p12-p13 by fluorescence in situ hybridizatio

Erfelijkheidsadvisering: Mag bijzaak hoofdzaak worden?

Three people applied for genetic counselling, but during the consultations the clinical geneticist discovered other problems for which advice could have been given but was not asked. This caused a serious dilemma. The first person was a woman who wanted to know the risks of epilepsy for her potential offspring, but then it became clear that she appeared to have Huntington's disease in the family. The second person was a man who wanted to know about the genetic risks for his offspring of a borderline psychiatric disorder, but the geneticist, seeing that the partner had severe limb defects, wondered whether these were caused by a genetic disorder. The third patient was a pregnant woman who came asking about the risks caused by mental retardation in one of her ancestors, but who appeared to be a heavy drinker and user of cocaine and ecstasy. In dealing with such 'secondary' problems, it should be kept in mind that persons seeking advice must decide for themselves whether or not they want to be informed regarding these problems or not