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Basic concepts for an interval arithmetic standard are discussed
in the paper. Interval arithmetic deals with closed and connected sets of real
numbers. Unlike floating-point arithmetic it is free of exceptions. A complete
set of formulas to approximate real interval arithmetic on the computer
is displayed in section 3 of the paper. The essential comparison relations and
lattice operations are discussed in section 6. Evaluation of functions for interval
arguments is studied in section 7. The desirability...
There is evidence that cancer develops when cells acquire a sequence of mutations that
alter normal cell characteristics. This sequence determines a hierarchy among the cells,
based on how many more mutations they need to accumulate in order to become cancerous.
When cells divide, they exhibit telomere loss and differentiate, which defines another
cell hierarchy, on top of which is the stem cell. We propose a mutation-generation model,
which combines...
In this article we propose a model to describe the inflammatory process which occurs
during ischemic stroke. First, an introduction to some basic concepts about the biological
phenomenon is given. Then, a detailed derivation of the model and the numerical scheme
used are presented. Finally, the studies of the model robustness and sensitivity are
showed and some numerical results on the time and space evolution of the process are
presented and discussed....
In this paper we construct analytic-numerical solutions for initial-boundary value systems related to the equation , where is an arbitrary square complex matrix and ia s matrix such that the real part of the eigenvalues of the matrix is positive. Given an admissible error and a finite domain , and analytic-numerical solution whose error is uniformly upper bounded by in , is constructed.
This paper describes a numerical method for the two-dimensional sine-Gordon equation over
a rectangular domain using differentiation matrices, in the theoretical frame of matrix
differential equations.
Vasculogenesis and angiogenesis are two different mechanisms for blood vessel formation. Angiogenesis occurs when new vessels sprout from pre-existing vasculature in response to external chemical stimuli. Vasculogenesis occurs via the reorganization of randomly distributed cells into a blood vessel network. Experimental models of vasculogenesis have suggested that the cells exert traction forces onto the extracellular matrix and that these forces may play an important role in the network forming...
Vasculogenesis and angiogenesis are two different mechanisms for blood
vessel formation. Angiogenesis occurs when new vessels sprout from
pre-existing vasculature in response to external chemical stimuli.
Vasculogenesis occurs via the reorganization of randomly distributed
cells into a blood vessel network. Experimental models
of vasculogenesis have suggested that the cells exert traction forces
onto the extracellular matrix and that these forces may play
an important role in the network forming...
Shifting a numerically given function we obtain a fundamental matrix of the linear differential system with a constant matrix . Using the fundamental matrix we calculate , calculating the eigenvalues of we obtain and using the least square method we determine .
With the aid of Markov Chain Monte Carlo methods we can sample even from complex multi-dimensional distributions which cannot be exactly calculated. Thus, an application to the problem of knowledge integration (e. g. in expert systems) is straightforward.
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