Abstract:I am deeply grateful to Don Saari for inspiring and advising me this dissertation. It is based on a novel approach discovered by Don, who inspires me to explore its application to medical ethics. His advice coincides with Poncare's insight a century ago, and still, has never been done before until now. His advice also shapes a unique direction of my career -to integrate mathematics and medicine to solve problems that matter. Thank you, Don. Special thanks to Don Saari for teaching me his master's way of thinki… Show more
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