Plenary Lecture
A Mathematical Model of Calcium Homeostasis: Effects of Parathyroid Hormone and Vitamin D
Associate Professor Chontita Rattanakul
Department of Mathematics, Faculty of Science,
Mahidol University
THAILAND
E-mail: chontita.rat@mahidol.ac.th
Abstract: In human, adequate amounts of calcium ion in the extracellular fluid are necessary for normal function of all cells. There are many factors involve in the maintenance of calcium homeostasis such as parathyroid hormone, vitamin D and calcitonin. A system of nonlinear differential equations is developed here in order to investigate the effects of parathyroid hormone and vitamin D on calcium homeostasis. Singular perturbation technique is then utilized to derive the conditions on the system parameters for which a periodic behavior can be assured. Numerical investigation is also carried out to support our theoretical prediction. Both theoretical and numerical results indicate that the developed model can exhibit a periodic behavior conforming to the pulsatile behavior observed clinically by many researchers in the serum levels of parathyroid hormone and vitamin D.
Brief Biography of the Speaker: Chontita Rattanakul graduated from Mahidol University, Thailand in 2003 and becoming a staff at the department of mathematics, faculty of science, Mahidol University since then. In 2004, she carried out her postdoctoral research at West Virginia University, USA under the Eiesland visiting research scholarship. Currently, she is an associate professor at the department of mathematics, faculty of science, Mahidol University and she is also the secretary of the Centre of Excellence in Mathematics, Thailand as well. Her current research interests include mathematical modeling of calcium homeostasis as well as the mechanism of bone remodeling process.