Abstract This paper is intended to introduce a filtration analysis of sampled maps based on persistent homology, providing new method for reconstructing the underlying maps. The key idea extend definition homology induced correspondences using framework quiver representations. Our given by most direct summands uniquely determine homology. We provide stability theorems this process and show that...

Homology can have different meanings for different kinds of biologists. A phylogenetic view holds that homology, defined by common ancestry, is rigorously identified through phylogenetic analysis. Such homologies are taxic homologies (=synapomorphies). A second interpretation, "biological homology" emphasizes common ancestry through the continuity of genetic information underlying phenotypic tr...

Papaya ringspot is a destructive disease characterized by a yellowing and stunting of the crown of papaya trees and assay was designed to help assign putative genome polyprotein analysis of Papaya ringspot virus strain W. We used different methods for the prediction of linear epitopes using a combination of a hidden Markov model and a propensity scale method. Data set was collected from the lit...

This paper is dedicated to Oleg Viro on his 60-th birthday.

We describe a refined homology model of a CDK1/cyclin B complex that was previously used for the structure-based optimization of the Paullone class of inhibitors. The preliminary model was formed from the homologous regions of the deposited CDK2/cyclin A crystal structure. Further refinement of the CDK1/cyclin B complex was accomplished using molecular mechanics and hydropathic analysis with a ...

MOTIVATION As more genomes are sequenced, the demand for fast gene classification techniques is increasing. To analyze a newly sequenced genome, first the genes are identified and translated into amino acid sequences which are then classified into structural or functional classes. The best-performing protein classification methods are based on protein homology detection using sequence alignment...

We present an improved stochastic model of genes in DNA, and describe a method for integrating database homology into the probabilistic framework. A generalized hidden Markov model (GHMM) describes the grammar of a legal parse of a DNA sequence. Probabilities are estimated for gene features by using dynamic programming to combine information from multiple sensors. We show how matches to homolog...

The atypical serine/threonine kinase mTOR (mammalian target of rapamycin) is a central regulator of cell growth and metabolism. mTOR is part of two multisubunit signalling complexes, mTORC1 and mTORC2. Although many aspects of mTOR signalling are understood, the lack of high-resolution structures impairs a detailed understanding of complex assembly, function and regulation. The structure of the...

Let B be a commutative algebra and A B-algebra (determined by an homomorphism ?:B?A). M. D. Staic introduced Hochschild like cohomology H•((A,B,?);A) called secondary cohomology, to describe the non-trivial deformations of A. J. Laubacher et al later obtained natural construction new chain complex C¯•(A,B,?) in process introducing cyclic (co)homology. In this paper, we establish connection betw...