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UBC Theses and Dissertations
Trajectory inference and generation numbers Chakraborty, Parijat
Abstract
Advancements in single cell measurement technologies have led to significant development in biological modelling and it’s analysis. This thesis studies a branching SDE model for cellular evolution in gene expression space. We assume that the SDE has gradient drift and a known diffusion coefficient. In the case with no branching or death, recent work proved that it is possible to reconstruct the parameters of this model from empirical measurements of the marginal. To incorporate branching, one can use generation numbers of a cell, however, the true number is not observable from experiments. This thesis discusses these results and proves how the true generation number is related to the observable generation number.
Item Metadata
| Title |
Trajectory inference and generation numbers
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| Creator | |
| Supervisor | |
| Publisher |
University of British Columbia
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| Date Issued |
2024
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| Description |
Advancements in single cell measurement technologies have led to significant development in biological modelling and it’s analysis. This thesis studies a branching SDE model for cellular evolution in gene expression space. We assume that the SDE has gradient drift and a known diffusion coefficient. In the case with no branching or death, recent work proved that it is possible to reconstruct the parameters of this model from empirical measurements of the marginal. To
incorporate branching, one can use generation numbers of a cell, however, the true number is not observable from experiments. This thesis discusses these results and proves how the true generation number is related to the observable generation number.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2024-09-03
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0445292
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2024-11
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International