867 citations · 4.1k across the 37 of their papers we have counts for
39 papers
Error-induced extinction in a multi-type critical birth-death process
Meritxell Brunet Guasch, P. L. Krapivsky, Tibor Antal
Extreme mutation rates in microbes and cancer cells can result in error-induced extinction (EEX), where every descendant cell eventually acquires a lethal mutation. In this work, w…
Sequential mutations in exponentially growing populations
Michael D. Nicholson, David Cheek, Tibor Antal
Stochastic models of sequential mutation acquisition are widely used to quantify cancer and bacterial evolution. Across manifold scenarios, recurrent research questions are: how ma…
Genetic composition of an exponentially growing cell population
David Cheek, Tibor Antal
We study a simple model of DNA evolution in a growing population of cells. Each cell contains a nucleotide sequence which randomly mutates at cell division. Cells divide according…
Cancer recurrence times from a branching process model
Stefano Avanzini, Tibor Antal
As cancer advances, cells often spread from the primary tumor to other parts of the body and form metastases. This is the main cause of cancer related mortality. Here we investigat…
Competing evolutionary paths in growing populations with applications to multidrug resistance
Michael D. Nicholson, Tibor Antal
Investigating the emergence of a particular cell type is a recurring theme in models of growing cellular populations. The evolution of resistance to therapy is a classic example. C…
Mutation frequencies in a birth-death branching process
David Cheek, Tibor Antal
First, we revisit the stochastic Luria-Delbrück model: a classic two-type branching process which describes cell proliferation and mutation. We prove limit theorems and exact resul…