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A Mathematical Study to Gout Symptoms

Gout is a form of in°ammatory arthritis characterized by sharp pain and severe swelling.
Gout is known as the disease of kings since it its strongly associated with a diet rich in fructose
and beer. Gout has a substantial e®ect on physical function, productivity, quality of life, and
health care costs. It often causes severe pain and physical disability. Furthermore, Gout
has no cure and it can lead to death. Gout is common in most countries in North America,
Western Europe and Asia. More than eight million people in the U.S., almost 4% of the
population, are estimated to su®er from gout. Gout is caused by the chronic elevation of
uric acid levels in the blood. Recent studies suggest that a high uric acid concentration is
the result of a dynamical process that highlights the interactions between leptin production,
insulin resistance, low muscle mass and a diet rich in fructose. Once individuals develop
hyperuricemia or reach a high uric acid concentration greater than 7 mg=dL for men and 6
mg=dL for women, they become susceptible to developing gout. We propose a novel dynamic
system to analyze and determine the connections between a diet involving di®erent levels of
fructose (in both adult men and women in the U.S.) and the concentration of uric acid in
the blood. Our model simulations suggest that adult males under a diet containing levels of
fructose stimulating a 0:5 uric acid growth rate, could surpass the high uric acid concentration
threshold after around 10000 days, while women pass the threshold in about 5000 days with
a diet stimulating a 0:4 growth rate.


Article Number: MTBI-14-06M

Year: 2017


Shuixian Yan - College of Science, University of Shanghai for Science and Technology, Shanghai, China and Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques Gannan Normal University, Ganzhou, China

Victor Moreno - Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, USA

Baojun Song - Department of Mathematical Sciences, Monticlair State University, USA

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