Title

Differentiating Between Burkitt Lymphoma And Cd10+ Diffuse Large B-Cell Lymphoma: The Role Of Commonly Used Flow Cytometry Cell Markers And The Application Of A Multiparameter Scoring System

Keywords

δ-expansion; nonlinear differential equations; Painlevé equations; perturbation method

Abstract

In this paper, a novel method for linearization of rational second order nonlinear models is discussed. In particular, we discuss an application of the δ expansion method (created to deal with problems in Quantum Field Theory) which will enable both the linearization and perturbation expansion of such equations. Such a method allows for one to quickly obtain the order zero perturbation theory in terms of certain special functions which are governed by linear equations. Higher order perturbation theories can then be obtained in terms of such special functions. One benefit to such a method is that it may be applied even to models without small physical parameters, as the perturbation is given in terms of the degree of nonlinearity, rather than any physical parameter. As an application, we discuss a method of linearizing the six Painlevé equations by an application of the method. In addition to highlighting the benefits of the method, we discuss certain shortcomings of the method. © 2012 Chinese Physical Society and IOP Publishing Ltd.

Publication Date

4-1-2012

Publication Title

American Journal of Clinical Pathology

Volume

137

Issue

4

Number of Pages

665-670

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1309/AJCP3FEPX5BEEKGX

Socpus ID

84860595836 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84860595836

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