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Modeling of Calcium Homeostasis in the Rat and its Perturbations

Abstract : This thesis of applied mathematics in renal physiology focuses on the study of calcium homeostasis, through the development of a mathematical model at the organism scale. This model is built based upon recent experimental studies as well as previous models in the field. We aim to answer several questions raised by nephrologists regarding diseases involving calcium stone formation or calcifications. In particular, we are interested in the origins of the hypercalciuria observed during primary hyperparathyroidism, the causes of which remain to be elucidated, the effects of bone resorption inhibition by bisphosphonates on calcium metabolism, as well as the consequences of an intravenous infusion of phosphate on calcium homeostasis. Our model is composed of differential equations describing the dynamics of calcium in the compartments involved in its metabolism (intestine, bone and kidneys), as well as complex feedback mechanisms by parathyroid hormone (PTH), vitamin D3 and the calcium sensing receptor (CaSR). Besides, this model is coupled to a phosphate homeostasis model. This model suggests that the variable presence of hypercalciuria during primary hyperparathyroidism can be explained by counteracting mechanisms in the thick ascending limb of Henle, involving on one hand the calcium sensing receptor, which inhibits calcium reabsorption, and on the other hand PTH which decreases calcium excretion. We conclude that the intravenous infusion of phosphate triggers a major hypocalcemia, mainly due to the precipitation of calcium and phosphate in both bone and plasma. Moreover, this study suggests a delay in the activation of PTH synthesis by phosphate
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  • HAL Id : tel-01911973, version 1

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David Granjon. Modeling of Calcium Homeostasis in the Rat and its Perturbations. Tissues and Organs [q-bio.TO]. Université Pierre et Marie Curie - Paris VI, 2016. English. ⟨NNT : 2016PA066399⟩. ⟨tel-01911973⟩

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