Viral proteome size and CD8+ T cell epitope density are correlated: the effect of complexity on selection.

The relation between the complexity of organisms and proteins and their evolution rates has been discussed in the context of multiple generic models. The main robust claim from most such models is the negative relation between complexity and the accumulation rate of mutations. Viruses accumulate escape mutations in their epitopes to avoid detection and destruction of their host cell by CD8+ T cells.

Diffusion rate determines balance between extinction and proliferation in birth-death processes.

We here study spatially extended catalyst induced growth processes. This type of process exists in multiple domains of biology, ranging from ecology (nutrients and growth), through immunology (antigens and lymphocytes) to molecular biology (signaling molecules initiating signaling cascades). Such systems often exhibit an extinction-proliferation transition, where varying some parameters can lead to either extinction or survival of the reactants.

Predator-prey dynamics in a uniform medium lead to directed percolation and wave-train propagation.

The dynamics of birth-death processes with extinction points that are unstable in the deterministic average description has been extensively studied, mainly in the context of the stochastic transition from the mean-field attracting fixed point to the absorbing state. Here we study the opposite case of a small perturbation from the zero-population absorbing state. We show that such perturbations can grow beyond the mean-field attracting fixed point and then can collapse back into the absorbing state.

Optimal viral immune surveillance evasion strategies.

Following cell entry, viruses can be detected by cytotoxic T lymphocytes. These cytotoxic T lymphocytes can induce host cell apoptosis and prevent the propagation of the virus. Viruses with fewer epitopes have a higher survival probability, and are selected through evolution.

Catalyst-induced growth with limited catalyst lifespan and competition.

Spatially extended catalyst-induced growth processes are studied. This type of processes exists in all domains of biology, ranging from ecology (nutrients and growth), through immunology (antigens and lymphocytes) to molecular biology (signaling molecules initiating signaling cascades). The extinction-proliferation transition is considered for a system containing discrete catalysts (A) that induces the proliferation of a discrete reactant (B).