A theorem by Kurtz on convergence of Markov jump processes is presented as it relates to the use of the chemical master equation. Necessary mathematical background in the theory of stochastic processes is developed, as well as requirements of the mathematical model necessitated by results in the physical sciences. Applicability and usefulness of the master equation for this type of combinatorial model in chemistry is discussed, as well as analytical connections and modern applications in multiple research fields.
|Advisor:||Hildebrand, Martin V.|
|Commitee:||Isralowitz, Joshua B., Reinhold-Larsson, Karin B.|
|School:||State University of New York at Albany|
|School Location:||United States -- New York|
|Source:||MAI 54/04M(E), Masters Abstracts International|
|Subjects:||Applied Mathematics, Mathematics, Physical chemistry|
|Keywords:||Chemical kinetics, Chemical physics, Mathematical models, Operator semigroups, Probability theory, Stochastic processes|
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