A Homoclinic Orbit in a Patient-Specific Model of Hashimoto’s Thyroiditis

  • Balamurugan PandiyanEmail author
  • Stephen J. Merrill
  • Salvatore Benvenga
Original Research


Hashimoto’s thyroiditis is an autoimmune disorder of the thyroid gland. In Hashimoto disease, the immune system damages the follicular cells of the thyroid gland through humoral and cellular-mediated responses which result in diminishing production of thyroid hormones in the blood over time. Using a patient-specific model of Hashimoto’s thyroiditis, we describe the natural history of Hashitoxicosis in genetically susceptible individuals. Hashitoxicosis means a sudden leakage of thyroid hormones from the gland. The main result of this present work is to show the existence of a homoclinic orbit which forms the boundary for the asymptotically stable interior diseased steady state. This homoclinic orbit corresponds to the clinical condition of Hashitoxicosis.


Homoclinic orbit Hashitoxicosis Hashimoto’s thyroiditis Patient-specific model 



We would like to thank the reviewers for their comments and suggestions to improve this manuscript. We also thank the Mathematics Department of the University of Wisconsin-Whitewater for the support of this project.


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Copyright information

© Foundation for Scientific Research and Technological Innovation 2016

Authors and Affiliations

  • Balamurugan Pandiyan
    • 1
    Email author
  • Stephen J. Merrill
    • 2
  • Salvatore Benvenga
    • 3
  1. 1.Department of MathematicsUniversity of Wisconsin-WhitewaterWhitewaterUSA
  2. 2.Department of MSCSMarquette UniversityMilwaukeeUSA
  3. 3.Divisione di EndocrinologiaPoliclinico Universitario di MessinaMessinaItaly

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