## Detail Information

### Publications

- The probability of speciation on an interaction network with unequal substitution ratesPeter Olofsson

Department of Mathematics, Trinity University, United States School of Engineering, Jonkoping University, Sweden Electronic address*Math Biosci*278:1-4. 2016..We establish formulas for the rate of speciation and identify a crucial parameter that is a measure of the deviation from simple random sampling. .. - A stochastic model of cell cycle desynchronizationPeter Olofsson

Trinity University, Mathematics Department, One Trinity Place, San Antonio, TX 78212, USA*Math Biosci*223:97-104. 2010..The model is compared to data from the literature and is also compared to previously suggested deterministic and stochastic models... - Modeling growth and telomere dynamics in Saccharomyces cerevisiaePeter Olofsson

Trinity University, Mathematics Department, One Trinity Place, San Antonio, TX 78212, USA*J Theor Biol*263:353-9. 2010..We identify and estimate crucial parameters such as the probability of an individual cell becoming a survivor, and compare our model predictions to experimental data... - Modeling and estimating bacterial lag phasePeter Olofsson

Trinity University, Mathematics Department, One Trinity Place, San Antonio, TX 78212, United States*Math Biosci*234:127-31. 2011..Approximations are established in order to facilitate parameter estimation. The validity of approximations and estimation procedures is tested with simulated data... - A stochastic model for the development of Bateson-Dobzhansky-Muller incompatibilities that incorporates protein interaction networksKevin Livingstone

Department of Biology, Trinity University, 1 Trinity Place, San Antonio, TX 78212, USA*Math Biosci*238:49-53. 2012..These results allow us to define the rate at which deleterious interactions are expected to form, and hence the speciation rate, for any protein-protein interaction network... - A stochastic model of a cell population with quiescencePeter Olofsson

Department of Mathematics, Trinity University, San Antonio, TX, USA*J Biol Dyn*2:386-91. 2008..The model is compared with deterministic models based on semigroup analysis of systems of differential equations... - Can telomere shortening explain sigmoidal growth curves?Peter Olofsson

Department of Mathematics, Trinity University, One Trinity Place, San Antonio, TX 78212, USA*J Biol Dyn*4:527-38. 2010..262-267]. We also demonstrate how other types of growth curves arise if telomere shortening is mitigated by other cellular processes. We compare our results with published data sets from the biological literature...