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 20 of 23 for “"Branching process"”.
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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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Generalized Markov branching models
… thesis, we first considered a modified Markov branching process incorporating both state-independent immigration and resurrection. After establishing the criteria for regularity and uniqueness, explicit expressions for the extinction probability and mean extinction time are presented. The …
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Network modelling for sexually transmitted diseases
… models are formulated in terms of a Markov process with a finite state space. Two main models are constructed and quantities of interest such as the basic reproduction number and endemic level of the sexually transmitted disease (STD) are obtained. The first model is formulated to describe …
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From Oncogenesis to Immunotherapy: Mathematical Modeling of Heterogeneous Cancers
… in murine CLL/RS. Next, we use a stochastic branching process model to simulate the acquisition of tumor-specific neoantigens in MMR-D CRC. By using these in-silico tumors as initial conditions in a dynamical systems model of tumor-immune interactions, parameterized using clinical trial data, …
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Semidefinite relaxation based branch-and-bound method for nonconvex quadratic programming
… introduce a sensitivity analysis method for the branching process of SDPBB. This sensitivity analysis method can improve the convergence speed significantly.
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Stochastic modeling of biological sequence evolution
… simulator uses a Markov model and a binary branching process, which dynamically builds a phylogenetic tree from an initial seed sequence. The sequences at the leaves of the tree can then be used as input to estimation techniques. We demonstrate our evaluation approach on Arvestad and Bruno's …
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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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Stochastic and deterministic multipatch epidemic models
… system through an approximating multi-type branching process. We formulate a continuous time Markov Chain that corresponds to each deterministic system studied. The main idea will be to study the spectral radius of the next generation matrix with regards to crossing of a critical threshold …
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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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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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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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Solidarity and ergodic properties of semi-Markov transition probabilities
… of this thesis is to establish for semi-Markov processes the same type of behaviour that is characteristic of the better-known Markov chains; this is achieved mainly through the use of Laplace and Laplace-Stieltjes transforms and a frequent appeal to renewal theory. The mathematical tools needed …
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Solidarity and ergodic properties of semi-Markov transition probabilities
… of this thesis is to establish for semi-Markov processes the same type of behaviour that is characteristic of the better-known Markov chains; this is achieved mainly through the use of Laplace and Laplace-Stieltjes transforms and a frequent appeal to renewal theory. The mathematical tools needed …
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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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Predicting legislative outcomes: an analysis of three sessions of the New York State Senate
… New York State Senate.</p> <p>The legislative process is viewed as a stochastic branching process, where the researcher is attempting to predict where in the process any introduced bill resides at the end of the legislative session. The information available about each bill consists of …
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Decentralized detection in resource-limited sensor network architectures
… Node failures are modeled by a Galton-Watson branching process, and binary symmetric channels are assumed for the case of unreliable communications. We characterize the asymptotically optimal detection performance, develop simple strategies that nearly achieve the optimal performance, and …
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Computing tie strength
… How does a chain letter diffuse? As a branching process. I present a case where this simplifying assumption does not hold. The results challenge the macroscopic diffusion properties in today’s literature, and they hint at a nest of complexity below a placid stochastic surface. It may be …
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Population dynamics of infectious disease and pathogen evolution: modelling vaccine escape
… escape strains. Using a time-inhomogeneous branching process, we find that interference with the wildtype strain may substantially hinder the establishment probability of new strains, especially those emerging at late times. As a result, new patterns appear in the escape pressure. Depending …
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Ein multityper Verzweigungsprozess als Modell zur Untersuchung der Ausbreitung von Covid-19
… modellieren in ihrer Veröffentlichung Branching stochastic processes as models of Covid-19 epidemic development die Ausbreitung des Corona Virus' über einen Verzweigungsprozess mit zwei Typen. Wir werden dieses Modell diskutieren und Schätzer daraus ableiten: Ziel ist es, die …
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Distributed Multiple Access for OFDMA Femtocells
… branches using a synchronized binary tree branching process over the K subchannels. Collisions are handled by reducing the accessed bandwidth exponentially and using an access probability that is inversely proportional to the accessed bandwidth. Analysis of a lightly loaded network, shows …
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