Mathematic models of migraine

Abstract

This article describes the mathematical process of building a model of migraine syndrome guided by research data and evidences. The paper illustrates the construction of a new possible model of the evolution, in the time, of migraine. The model is an artificial network using cost-effective, conventional pure and mixed mathematical methods. It can enable to reconstruct the rules needed to give homogeneity to an incomplete data set on which we require a correct prediction and reproduction. Such a methodology represents an attempt to offer a complete output model consisting of a virtual, complex structure capable of simultaneously taking into account sparse and apparently incongruent evidences of a complex disease such as migraine. This is a model that addresses the complex rules and relationships among inherited hyperalgesia, migraine stemming off and its further worsening. Such a construction is needed as a platform for any further artificial, non-linear neural network.