Journal of Theoretical Biology
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Journal of Theoretical Biology 359:IFC (2014)
Journal of Theoretical Biology 354:IFC (2014)
A consistent estimator of the evolutionary rate
We consider a branching particle system where particles reproduce according to the pure birth Yule process with the birth rate λ, conditioned on the observed number of particles to be equal to n. Particles are assumed to move independently on the real line according to the Brownian motion with the l...
Modelling the movement of interacting cell populations: A moment dynamics approach
Journal of Theoretical Biology 370:81 (2015)We derive a moment dynamics description of a discrete stochastic process which describes the spreading of distinct interacting subpopulations. In particular, we motivate our model by mimicking the geometry of two typical cell biology experiments. Comparing the performance of the moment dynamics mode...
Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing.
We explore the qualitative response of the system and the expected carbon assimilation under constant and periodically forced environmental conditions. The model results show how the diurnal evolution of these variables entrains the CAM cycle with prevailing environmental conditions. While constant...
The effect of bottom roughness on scalar transport in aquatic ecosystems: Implications for reproduction and recruitment in the benthos
Journal of Theoretical Biology 369:59 (2015)These results indicate that the spatial configuration of bottom roughness is an important determinant of gamete/larval transport in terms of whether the scalar will be retained among roughness elements or transported downstream....
L-shaped prey isocline in the Gause predator–prey experiments with a prey refuge
Journal of Theoretical Biology 370:21 (2015)These results further support the idea that a prey refuge changes the prey isocline of predator–prey models from a horizontal to an L-shaped curve. Such a shape of the prey isocline effectively bounds amplitude of predator–prey oscillations, thus promotes species coexistence....
Discrimination of acidic and alkaline enzyme using Chou's pseudo amino acid composition in conjunction with probabilistic neural network mod...
We have developed a robust, accurate and high throughput computational model using two discrete sample representation methods Pseudo amino acid composition (PseAAC) and split amino acid composition. Various classification algorithms including probabilistic neural network (PNN), K-nearest neighbor, d...
Analysis of an epidemic model with awareness decay on regular random networks.
We interpret the dynamics of the system in this region and prove that the existence of bifurcation for this second epidemic threshold crucially depends on the absence of awareness decay. We show that the continuum of equilibria that characterizes the slow die-out dynamics collapses into a unique equ...
Maximizing yields of virulent phage: the T4/Escherichia coli system as a test case.
A hybrid mathematical model was devised to obtain optimal values for bacterial doubling time and initial phage/bacteria multiplicity of infection for the purpose of reaching the highest possible phage titers in steady-state exponentially growing cultures. The computational model consists of an initi...