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Formation of complementary base pairs between nucleic acids over a short region (⩽15 nucleotides) is described by a kinetic model in which the intermediate state is assumed to be locally single stranded. The model enables calculation of a rate factor that is proportional to the rate constant...
In this paper we explore the integration of different factors to understand, predict and control ecological invasions, through a general cellular automaton model especially developed. The model includes life history traits of several species in a modular structure interacting multiple cellular...
Many biologists use population models that are spatial, stochastic and individual based. Analytical methods that describe the behaviour of these models approximately are attracting increasing interest as an alternative to expensive computer simulation. The methods can be employed for both...
We consider classes of functional differential equation models which arise in attempts to describe temporal delays in HIV pathogenesis. In particular, we develop methods for incorporating arbitrary variability (i.e., general probability distributions) for these delays into systems that cannot...
The base distributions in coding DNA sequences (CDS) are investigated. We explore the scaling properties of the 4-dimensional directed random walk and compare them with that for the DNA sequences. Inference from these observation are, however, contradicted by alternate analysis using factorial...
Under certain controllability and observability restrictions, two different parameterisations for a non-linear compartmental model can only have the same input–output behaviour if they differ by a locally diffeomorphic change of basis for the state space. With further restrictions, it is...
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