Journal of Theoretical Biology
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Maximizing yields of virulent phage: The T4/Escherichia coli system as a test case
Journal of Theoretical Biology 364:428 (2015)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 o...
Optimal cooperative searching using purely repulsive interactions
Journal of Theoretical Biology 361:159 (2014)We systematically study the simplest form of communication via long range repulsive interactions between multiple diffusing Brownian searchers on a one-dimensional lattice. We show that the mean first passage time for any one of them to reach a fixed target depends non-monotonically on the range of...
Distribution bias of the sequence matching between exons and introns in exon joint and EJC binding region in C. elegans
Journal of Theoretical Biology 364:295 (2015)We propose a mechanism that there are matching relations between mRNA sequences and corresponding post-spliced introns, and introns play a significant role in the process of gene expression. In order to reveal the sequence matching features, Smith-Waterman local alignment method is used on C. elegan...
Journal of Theoretical Biology 359:IFC (2014)
Journal of Theoretical Biology 354:IFC (2014)
Decoding synchronized oscillations within the brain: phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony fil...
We use a computational and mathematical approach to investigate the efficacy of the phase-delayed inhibition motif in detecting synchronized oscillations. We show that phase-delayed inhibition is capable of creating a synchrony detector with sharp synchrony filtering properties that depend criticall...
Investigating the link between epithelial-mesenchymal transition and the cancer stem cell phenotype: A mathematical approach.
We mathematically investigate the nature of this increase in stem cell activity. A stochastic model is used when small number of cells are under consideration, namely in simulating the mammosphere assay, while a related continuous model is used to probe the dynamics of larger cell populations. Two s...
On the dynamics of the growth plate in primary ossification.
We show that the size of the Proliferative Zone in the growth plate is rather insensitive to variations in the flux coefficients for Ihh and PTHrP at their boundaries. Besides, we also show that the model is also insensitive to large changes in the (comparatively small) critical value of the PTHrP c...
Adhesion induced by mobile cross-bridges: steady state peeling of conjugated cell pairs.
We introduce a specific adhesion model to investigate the complex interaction between rate of peeling, lateral diffusivity and the rate of detachment of bonds. Our analysis show that adhesive energy density increases with the rate of peeling and with lateral diffusivity of the bonds but decreases wi...
The cost of departure from optimal radii in microvascular networks.
We have previously had no expressions for evaluating the apparent energy cost for departures from the optimal junction exponent of 3. Such expressions are derived here. They show that junction exponents, from about 1.5 to large positive values, are within 5% of the energy minimum. With the new equat...