A Golden Differential Mathematical Model for Prognosis and Treatment Strategy Choosing of ALS and TBI

Neuroinflammation is established as a mediator in the pathogenesis of a variety of disorders such as amyotrophic lateral sclerosis (ALS) and traumatic brain injury (TBI). ALS is neurodegenerative disease that selectively degenerates motor neurons. Although there are some therapeutic strategies on ALS progression, but there is no known certain cure for this disease. TBI is a form of acquired damage of thebrain and it affects the lives of estimated 10 million people annually around the world. By using a suitable mathematical model, we can predict the treatment and prognose the disease. In this study, we desire to discover a formula for these uses. Materials and Methods: Inthis analytic original article first we searched about some previous analytic studies which had presented some mathematical models in pathogenesis, treatment and prediction of the neuroinflammation modulated diseases specially ALS and TBI by searching in fourdatabases( Cochrane, PubMed, Medline and Scopus), based on the relevant medical subject headings (MeSH) of: mathematical model, neuroinflammation, ALS, TBI, and adding time filter (last 5 years) and article type filter(clinical trial, meta analyses, systematic reviews)next, we extracted related mathematical models, used ordinary differential equation( ODE) and eliminated similar parameters, so a general effective model was achieved. Results: As the result of search we found 1980 related paper that by using filters of time and typeof article, it’s limited to 47. By reviewing the text of articles as the result we achieved 2 main formulas and 12 guide and then after lots of ODEs the gold formula was discovered. Conclusion: We achieved a golden formula to predict the outcome of the disease and thetreatment method, which consists of parameters such as IL4 and IL6. Further studies are needed to demonstrate the effectiveness of this formula and other aspects of these diseases.