Solving Inverse Problems for Mechanistic Systems Biology Models with Unknown Inputs
Final rept. 1 Jan-30 Sep 2014
MARYLAND UNIV COLLEGE PARK
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The goal of the proposed project is to develop and test the feasibility of a novel approach to solve the inverse problem for a class of systems arising from systems biology study, in which input is unknown e.g. cannot be observed but multiple outputs can be observed. As mentioned above, the most significant challenge associated with this class of inverse problems is that the standard approach to inverse problem where the parameters of the mechanistic model are optimized to fit the input-output data is not applicable in the absence of system input observation. To resolve this challenge, this project proposes to exploit the commonality shared by the outputs that originate from the same input. Indeed, noting that these outputs originate from the identical input, a relationship between these outputs can be formulated, which can subsequently be utilized in solving the inverse problem without necessitating the input observations.
- Theoretical Mathematics