Quantifying Enlargement of Brain Cerebrospinal Fluid Spaces: A Differential Equation Approach to Clinical Outcome in Melancholia

Abstract

The physiological processes involved in cognitive neurology are highly complex, spanning a wide range of inter-related temporal and spatial scales. The complexity of relationship between brain cerebrospinal fluid (CSF) space changes and patient prognosis in melancholic depression is well suited to quantitative approaches as it provides challenges and opportunities for new developments. The purpose of this article is to come up with present mathematical trends in the clinical outcome of depressive patients, which can trigger off challenges that lie in the field ahead. To be more specific, mathematical models have been the main focus in the study, that are capable of addressing critical questions associated with intracranial neoplasms and brain tumours, their growth and patient-specific differential diagnosis. Also, the explicit interactions between the brain-delivered neurotrophic factor (BDNF) Val66Met gene and early-life stress (ELS) exposure in brain have been established through differential equation models.