Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 13 of 13 for “"Branching Processes"”.
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Modeling Clonal Evolution with Branching Processes
… a neutral effect on cell growth. We create a branching process model of clonal evolution that distinguishes between selective (driver) and neutral (passenger) mutations. In this model, cells grow according to distributions unique to their set of mutations, and further mutations can arise as …
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Branching Processes with Detection: Probabilistic Analysis
The branching process is a stochastic model that describes the evolution of a population, where the offspring of each individual are produced independently of others and the past. This thesis explores a less-studied aspect of branching processes by integrating a detection mechanism, wherein each …
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Selected problems of inference on branching processes and poisson shock model
… of statistical methodology for some problems of branching processes and poisson shock model. Branching process methods have become extremely popular in recent days. This dissertation mainly explores two fundamental inference problems of Galton-Watson processes. The first problem is concerned with …
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Conditional limit theorems for multitype branching processes and illustration in epidemiological risk analysis
… tools. The population size is modeled by a branching process, which is either a continuous-time multitype Bienaymé-Galton-Watson process (BGWc), or its continuous-state counterpart, the multitype Feller diffusion process. We are interested in different kinds of conditioning on …
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Statistical approaches to population genetics
… in the population. Three main model types, the branching processes, the Markov chains, and the diffusion processes are discussed. Published results on the subject are presented along with some new investigations. Comparable results obtained by various authors are checked, some of which are found …
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Some Problems in Stochastic Dynamics and Statistical Analysis of Single-Cell Biology of Cancer
… homogeneous cells. In the second part, we use branching processes to explain the phenomenon that the proportions of different phenotypes of cancer cells will always converge. In the third part, we consider how to quantify the causal effect from a random variable to a response variable. We prove …
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Branching process models for cancer evolution: overview and an application to colorectal cancer initiation
We study a multi-type branching process model associated with a transitional network between types. In particular, we are interested in determining the waiting time to each type in the network, employing an approximation of the process by its large time limit. We first present a literature review …
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On the average generation of a population
… understanding complex cellular differentiation processes, identifying carcinogenic cellular activities, and quantifying the ageing of the immune system. Different techniques based on both direct observations and indirect inference have been proposed, with benefits and limitations varying in the …
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From the Origins of Life to Epidemics: Bayesian Inference, Stochastic Simulation, and Dynamics of Bioinformatic Systems
… of models with differing ways of describing branching processes.
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Information extraction with network centralities : finding rumor sources, measuring influence, and learning community structure
… classical theory of generalized Polya's urns and branching processes. Next we use rumor centrality to measure influence in Twitter. We develop an influence score based on rumor centrality which can be calculated in linear time. To justify the use of rumor centrality as the influence score, we use …
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One-Dimensional Excited Random Walk with Unboundedly Many Excitations Per Site
<p>We study a discrete time excited random walk on the integers lattice requiring a tail decay estimate on the number of excitations per site and extend the existing framework, methods, and results to a wider class of excited random walks.</p> <p>We give criteria for recurrence versus transience, …
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An Optimisation-Based Approach to FKPP-Type Equations
In this thesis, we study a class of reaction-diffusion equations of the form $\frac{\partial u}{\partial t} = \mathcal{L}u + \phi u - \tfrac{1}{k} u^{k+1}$ where $\mathcal{L}$ is the stochastic generator of a Markov process, $\phi$ is a function of the space variables and $k\in …
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Optimization of drill geometry for orthopaedic surgery
… with the outcome of the important biological processes. The purpose then in almost any type of fixation is to produce a fixation of the bone, either by internal or external means, which is sufficient only to maintain its position while the biological process of healing goes on. To hold a …