Many mathematical models relevant to osteoporosis have been developed and studied. Although osteoclasts and osteoblasts are the crucial variables in bone resorption and bone formation, PTH can cause changes in the ratio of these cells and therefore should be studied more closely. Some of the current models for osteoporosis will be analyzed in this thesis as well as amended to account for the phenomenon that occurs with various methods of PTH administration. By administering PTH in either pulsatile or continuous doses, we obtain very different results. When administered in a continuous fashion, the body experiences a net bone loss over time, but given in daily, pulsatile doses, we increase bone mineral density. By developing a model that incorporates PTH administration, we hope to provide the building block for a broader model that is able to determine the efficacy of various osteoporotic treatments.

Library of Congress Subject Headings

Osteoporosis--Treatment--Mathematical models; Parathyroid hormone; Cellular signal transduction

Publication Date


Document Type


Department, Program, or Center

School of Mathematical Sciences (COS)


Ross, David


Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: RC931.O73 B38 2011


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