A mathematical model by Chen et al. representing the cell cycle of the budding yeast cell (Saccharomyces cerevisiae) is used to simulate levels of 13 different cell biological variables. By using a linear systems approach on the generated data the goal is to identify the original equations of the mathematical model. Since this model is described by a nonlinear system the linear systems approach...

A calculus based on pointer-mark coincidences is proposed to define, in a mathematically rigorous way, measurements of space and time intervals. The connection between such measurements in different inertial frames according to the Galilean or Lorentz transformations is then studied using new, simple, and practical clock synchronisation procedures. It is found that measured length intervals are...

In this paper we introduce a new control strategy for linear time invariant (LTI) systems with a single time delay. The delay appears within the feedback control logic. Earlier research on this class of systems determines the delay intervals for stable operations, exhaustively, exactly and completely. The newly developed inverting control logic suggests a very practical procedure of reversing t...

We develop a systematic method to extract the negativity in the ground state of a 1+1 dimensional relativistic quantum field theory, using a path integral formalism to construct the partial transpose ρ(A)(T(2) of the reduced density matrix of a subsystem [formula: see text], and introducing a replica approach to obtain its trace norm which gives the logarithmic negativity E=ln//ρ(A)(T(2))//. Th...

We consider the poset of weighted partitions Πn , introduced by Dotsenko and Khoroshkin in their study of a certain pair of dual operads. The maximal intervals of Πn provide a generalization of the lattice Πn of partitions, which we show possesses many of the well-known properties of Πn. In particular, we prove these intervals are EL-shellable, we show that the Möbius invariant of each maximal ...

In this paper, we initiate a study of shape description and classification through the use of persistent homology and three tangential constructions. The homology of our first construction, the tangent complex, can distinguish between topologically identical shapes with different “hard” features, such as sharp corners. To capture “soft” curvature-dependent features, we define two other complexe...

In associative models, conductive connections (associations, Hebbian synapses) are strengthened by the repetitive temporal pairing of stimuli. The associations cause the animal to behave more adaptively, but they do not encode information about objectively specifiable properties of the conditioning experience. In information processing (computational) models, the temporal intervals that define ...

In this paper the properties of waveform relaxation are studied when applied to the dynamical system generated by an autonomous ordinary differential equation. In particular, the effect of the waveform relaxation on the invariant sets of the flow is analysed. Windowed waveform relaxation is studied, whereby the iterative technique is applied on successive time intervals of length T and a fixed,...

Given two{dimensional images T1::n; 1::n] and P1::m; 1::m] where m < n, we develop a fast rotation invariant ltration algorithm for nding the locations of approximate occurrences of P in T. In such an occurrence, each pixel of T should match the corresponding intervals of pixels deened by P. Our lter works by extracting linear sequences of intervals , called features, from P, and by searching t...