This research monograph describes the maternal pathologing and the clinical study with of infant hyperactivity and attention deficit disorder ADHD, the sungroup of ADHD, the child deficit of learning and memory and aggresivity. In addition we reported the cliivical study of Autism spectrum disorder (ASD), the brain-gut relationship in ASD, and the reported Neuroscience Theories, Hypothesis and Approaches on Autism Spectrum Disorder (ASD), some congenital and viral syndromes as Noonan and Zika Syndrome, and child febriille and nenonatal and infant afebrille epilepsies.