Linear instability mechanisms for sand wave formation . By NATALIA L . KOMAROVA

Mutation-selection networks of cancer initiation: tumor suppressor genes and chromosomal instability.

In this paper, we derive analytic solutions of stochastic mutation-selection networks that describe early events of cancer formation. A main assumption is that cancer is initiated in tissue compartments, where only a relatively small number of cells are at risk of mutating into cells that escape from homeostatic regulation. In this case, the evolutionary dynamics can be approximated by a low-di...

Genetic Instability in Cancer: An Optimal Control Problem

Carcinogenesis (cancer generation) relies on a sequence of mutations that transforms cells, leading to their unchecked growth. An important phenomenon in cancer is genetic instability, or an increased rate of mutations, with a higher associated cell death rate. Given the trade-off between an increase in mutant cells by higher mutation rate and higher loss of mutants through a higher death rate,...

Bedforms in a turbulent stream. Part 2: Formation of ripples by primary linear instability and of dunes by non-linear pattern coarsening

It is widely accepted that both ripples and dunes form in rivers by primary linear instability, the wavelength of the former scaling on the grain size, that of the latter being controled by the water depth. We revisit here this problem, using the computation of the turbulent flow over a wavy bottom performed in Part 1. A multi-scale description of the problem is proposed, in which the details o...

Linear temporal and spatio-temporal stability analysis of a binary liquid film flowing down an inclined uniformly heated plate

Temporal and spatio-temporal instabilities of binary liquid films flowing down an inclined uniformly heated plate with Soret effect are investigated by using the Chebyshev collocation method to solve the full system of linear stability equations. Seven dimensionless parameters, i.e. the Kapitza, Galileo, Prandtl, Lewis, Soret, Marangoni, and Biot numbers (Ka, G, Pr, L, χ , M , B), as well as th...

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