On Ramsey and star-critical Ramsey numbers for generalized fans versus nK m.

In this paper, we determine the Ramsey number and star-critical Ramsey number, under certain restrictions on the relevant parameters, for nKm versus K 1 + tH where t ≥ 2 and H is an arbitrary graph.

Cerebral palsy: causes, pathways, and the role of genetic variants.

Cerebral palsy (CP) is heterogeneous with different clinical types, comorbidities, brain imaging patterns, causes, and now also heterogeneous underlying genetic variants. Few are solely due to severe hypoxia or ischemia at birth. This common myth has held back research in causation. The cost of litigation has devastating effects on maternity services with unnecessarily high cesarean delivery rates and subsequent maternal morbidity and mortality. CP rates have remained the same for 50 years despite a 6-fold increase in cesarean birth. Epidemiological studies have shown that the origins of most CP are prior to labor. Increased risk is associated with preterm delivery, congenital malformations, intrauterine infection, fetal growth restriction, multiple pregnancy, and placental abnormalities. Hypoxia at birth may be primary or secondary to preexisting pathology and international criteria help to separate the few cases of CP due to acute intrapartum hypoxia. Until recently, 1-2% of CP (mostly familial) had been linked to causative mutations. Recent genetic studies of sporadic CP cases using new-generation exome sequencing show that 14% of cases have likely causative single-gene mutations and up to 31% have clinically relevant copy number variations. The genetic variants are heterogeneous and require function investigations to prove causation. Whole genome sequencing, fine scale copy number variant investigations, and gene expression studies may extend the percentage of cases with a genetic pathway. Clinical risk factors could act as triggers for CP where there is genetic susceptibility. These new findings should refocus research about the causes of these complex and varied neurodevelopmental disorders.

NKX2-1 mutation in a family diagnosed with ataxic dyskinetic cerebral palsy.

Benign hereditary chorea caused by mutations in the NK2 homeobox 1 gene (NKX2-1), shares clinical features with ataxic and dyskinetic cerebral palsy (CP), resulting in the possibility of misdiagnosis. A father and his two children were considered to have ataxic CP until a possible diagnosis of benign familial chorea was made in the children in early teenage. The father's neurological condition had not been appreciated prior to examination of the affected son. Whole exome sequencing of blood derived DNA and bioinformatics analysis were performed. A 7 bp deletion in exon 1 of NKX2-1, resulting in a frame shift and creation of a premature termination codon, was identified in all affected individuals. Screening of 60 unrelated individuals with a diagnosis of dyskinetic or ataxic CP did not identify NKX2-1 mutations. BHC can be confused with ataxic and dyskinetic CP. Occasionally these children have a mutation in NKX2-1.

Epilepsy with cognitive deficit and autism spectrum disorders: prospective diagnosis by array CGH.

The clinical significance of chromosomal microdeletions and microduplications was predicted based on their gene content, de novo or familial inheritance and accumulated knowledge recorded on public databases. A patient group comprised of 247 cases with epilepsy and its common co-morbidities of developmental delay, intellectual disability, autism spectrum disorders, and congenital abnormalities was reviewed prospectively in a diagnostic setting using a standardized oligo-array CGH platform. Seventy-three (29.6%) had copy number variations (CNVs) and of these 73 cases, 27 (37.0%) had CNVs that were likely causative. These 27 cases comprised 10.9% of the 247 cases reviewed. The range of pathogenic CNVs associated with seizures was consistent with the existence of many genetic determinants for epilepsy.