The integrated solutions (ABEC, area between baseline and effect curve) of four basic models of indirect pharmacodynamic responses are developed. These models assume that drug can inhibit or stimulate the production or loss of the response variable. For two models (I and III) with monoexponential drug disposition, explicit formulas for the ABEC were obtained, where ABEC is a function of ln (1 +...

The past decade has seen enormous growth in our knowledge of the basic functions of language processing as well as their disorders. Theoretical, behavioral and neurophysiological, as well as neuroanatomical studies have helped to advance our knowledge in the field. On the one hand, the development of different methodologies and their application to the investigation of normal and impaired langu...

Graph Theory has been realized as one of the most useful branches of Mathematics of recent origin, finding widest applications in all most all branches of sciences, social sciences, and engineering and computer science. Nathanson[8] was the pioneer in introducing the concepts of NumberTheory, particularly, the “Theory of congruences” i n Graph Theory, thus paving way for the emergence of a new ...

E(∈) = 0, E(∈∈ T) = Σ 2. (1) Here, y is an m-vector of measurements, α* is an n-vector of unknown parameters (with n ≤ m), Φ is the m × n least-squares matrix (with linearly independent columns that do not depend on α*), and ∈ is an m-vector of random errors with expected value 0 and m × m positive definite variance matrix Σ 2. When Σ 2 is not known, we usually assume that Σ 2 = σ 2

Throughout this paper Zp, Qp, C and Cp will respectively denote the ring of p-adic rational integers, the field of p-adic rational numbers, the complex number field and the completion of algebraic closure of Qp. The p-adic absolute value in Cp is normalized so that |p|p = 1 p . When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C or a p-adic numbe...

In the distribution-free property testing model, the distance between functions is measured with respect to an arbitrary and unknown probability distribution D over the input domain. We consider distribution-free testing of several basic Boolean function classes over {0, 1}, namely monotone conjunctions, general conjunctions, decision lists, and linear threshold functions. We prove that for eac...

Calling NAG routines from Visual Basic or Excel can provide a convenient way quickly to develop graphical user interfaces and packages that use mathematical routines The aim of this report is to show how the complete range of NAG C DLL routines can be called directly from Visual Basic and thus allow programmers package builders maximum exibility when incorporating calls to NAG routines into the...

August 29, 2013 Type Package Title Basic functions for supporting an implementation of choice experiments Version 0.3-0 Date 2012-11-08 Author Hideo Aizaki Maintainer Hideo Aizaki Description The support.CEs package provides seven basic functions that support an implementation of choice experiments. License GPL (>= 2) Depends DoE.base, MASS, simex Suggests survival, stats R...

Multiphoton fluorescence microscopy offers the advantages of deep optical sectioning of living tissue with minimal phototoxicity and high optical resolution. More importantly, dynamic processes and multiple functions of an intact organ can be visualized in real time using noninvasive methods, and quantified. These studies aimed to extend existing methods of multiphoton fluorescence imaging to d...

This paper presents a new characterization of provably recursive functions of first-order arithmetic. We consider functions defined by sets of equations. The equations can be arbitrary, not necessarily defining primitive recursive, or even total, functions. The main result states that a function is provably recursive iff its totality is provable (using natural deduction) from the defining set o...