A novel minimization technique was developed. The proposed method is based on a Gaussian random search in the parameter space and it can handle wide range of problems, including bi-exponential curve fitting, reasonable time. It uses only function values, does not require gradients.

Recently a lot of effort has been placed in the construction and implementation of a class of methods called exponential integrators. These methods are preferable when one has to deal with stiff and highly oscillatory semilinear problems, which often arise after spatial discretization of Partial Differential Equations (PDEs). The main idea behind the methods is to use the exponential and some c...

Von Willebrand Factor (VWF) is a multimeric protein crucial for hemostasis. Under shear flow, it acts as a mechanosensor responding with a size-dependent globule-stretch transition to increasing shear rates. Here, we quantify for the first time, to our knowledge, the size distribution of recombinant VWF and VWF-eGFP using a multilateral approach that involves quantitative gel analysis, fluoresc...

Single cholinergic channel currents were recorded in adult human muscle tissue culture. The agonists suberyldicholine and carbamylcholine produce channels with the same conductance as channels produced by acetylcholine but with different closing kinetics. The antagonist tubocurarine, alone or mixed with suberyldicholine, activates channels which close very rapidly. For agonist-activated channel...

In this paper, we propose a simple approach for approximating small sample distributions based on the method of Maximum Entropy (maxent) density. Unlike previous studies that use the maxent method as a curve-fitting tool, we focus on the “small sample asymptotics” of the approximation. We show that this method obtains the same asymptotic order of accuracy as that of the classical Edgeworth expa...

We discuss the basic concept of compartmental modelling in pharmacokinetics and demonstrate that all the solutions admitted by multi-compartment models of classical pharmacokinetics are expressed as linear combinations of exponential functions of time. This lends itself to data analysis that depends on fitting exponential functions to finite size sets. A mathematical method developed a long tim...

In this paper, we construct two new families of distributions generated by the discrete Lindley distribution. Some mathematical properties are derived. special from these can be constructed choosing some baseline distributions, such as exponential, Pareto and standard logistic distributions. We study in detail models resulting exponential baseline, among others. These have different shape chara...

Changes between different sets of parameters are often needed in multivariate statistical modeling, such as transformations within linear regression or in exponential models. There may, for instance, be specific inference questions based on subject matter interpretations, alternative well-fitting constrained models, compatibility judgements of seemingly distinct constrained models, or different...

Undirected graphical models, also known as Markov networks, enjoy popularity in a variety of applications. The popular instances of these models such as Gaussian Markov Random Fields (GMRFs), Ising models, and multinomial discrete models, however do not capture the characteristics of data in many settings. We introduce a new class of graphical models based on generalized linear models (GLMs) by...