Browsing Mathematics & Statistics Department by Issue Date
Now showing items 120 of 110

Growing heterogeneous tumors in silico
(The American Physical Society, 11/16/2009)An in silico tool that can be utilized in the clinic to predict neoplastic progression and propose individualized treatment strategies is the holy grail of computational tumor modeling. Building such a tool requires the ... 
Comparison of simian immunodeficiency virus isolates
(Nature Publishing Group, 1988)Information on the extent of genetic variability among nonhuman primate lentiviruses related to human immunodeficiency virus (HIV) is sorely lacking. Here we describe the isolation of two molecular clones from the simian ... 
Generalized Casson Invariants for SO(3),U(2),Spin(4) , and SO(4)
(American Mathematical Society, 1994)We investigate Cassontype invariants corresponding to the lowrank groups $\mathrm{SO}(3), \mathrm{SU}(2) \times S^1, \mathrm{U}(2), \operatorname{Spin}(4)$ and SO(4). The invariants are defined following an approach ... 
Commutators in Free Products
(World Scientific Publishing, 1995)Topological methods are used to show that for certain subgroups S of a free product F, if w∈S is a commutator in F, then w is a commutator in S. 
Tesselations of S2 and equations over torsionfree groups
(Cambridge University Press, 1995)Let G be a torsion free group, F the free group generated by t. The equation r(t) = 1 is said to have a solution over G if there is a solution in some group that contains G. In this paper we generalize a result due to ... 
A decomposition theorem for hcobordant smooth simplyconnected compact 4manifolds
(Springer Verlag, 1996) 
A New Method for Spectral Decomposition Using a Bilinear Bayesian Approach
(Elsevier, 1999)A frequent problem in analysis is the need to find two matrices, closely related to the underlying measurement process, which when multiplied together reproduce the matrix of data points. Such problems arise throughout ... 
Compact cores of coverings
(Elsevier, 1999)Let H be a subgroup of G. In this paper we discuss the following questions: Is there a twocomplex L so that pi(1)(L) = G and so that the cover of L corresponding to H has a compact core? Is there an L so that pi(1)(L) = ... 
Groups and Several Equations in one Variable
(World Scientific Publishing, 2001)This paper addresses the question of simultaneously solving a set of equations in one variable over torsionfree groups. 
An intersection theory count of the representations of the fundamental group of a 3manifold
(Elsevier, 2001)We define an invariant of closed 3manifolds counting the signed equivalence classes of representations of the fundamental group in . The invariant is an analog of the CassonWalker invariant for SU(2). We reinterpret the ... 
Signal transduction driving technology driving signal transduction: factors in the design of targeted therapies
(Wiley, 2001)A significant number of human diseases can be attributed to defects in cellular signal transduction pathways. Largescale proteomics projects now in progress seek to better define critical components of signal transduction ... 
A Dehn surgery description of regular finite cyclic covering spaces of rational homology spheres
(World Scientific Publishing, 2001)We provide related Dehn surgery descriptions for rational homology spheres and a class of their regular finite cyclic covering spaces. As an application, we use the surgery descriptions to relate the Casson invariants of ... 
The Group <G,te> When G is TorsionFree
(Elsevier, 2001)In this paper we discuss classes of nontrivial elements in the group with a relative presentation <G, t \e >, where G is torsion free and e is solvable over G. 
Equations with TorsionFree Coefficients
(Cambridge University Press, 2001)In this paper we generalize techniques used by Klyachko and the authors to prove some tessellation results about S2. These results are applied to prove the solvability of certain equations with torsionfree coefficients. 
Application of Bayesian Decomposition for analysing microarray data
(Oxford University Press, 2002)Motivation: Microarray and gene chip technology provide high throughput tools for measuring gene expression levels in a variety of circumstances, including cellular response to drug treatment, cellular growth and development, ... 
A Class of ExponentSum Two Equations Over Groups
(Cambridge University Press, 2002)In this paper, relative pictures are used to analyze a certain family of exponentsum two equations over groups. 
BeoBLAST: distributed BLAST and PSIBLAST on a Beowulf cluster
(Oxford University Press, 2002)BeoBLAST is an integrated software package that handles user requests and distributes BLAST and PSIBLAST searches to nodes of a Beowulf cluster, thus providing a simple way to implement a scalable BLAST system on top of ... 
Response markers and the molecular mechanisms of action of Gleevec in gastrointestinal stromal tumors
(American Association for Cancer Research, 2003)Gastrointestinal stromal tumors (GISTs), defined by the presence of constitutively activated KIT, are the most common gastrointestinal mesenchymal malignancies. This observation has been successfully exploited in clinical ...