activity
19972023
most citedConstructive Methods of Invariant Manifolds for Kinetic Problems

157 citations · 2.9k across the 96 of their papers we have counts for

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Showing 2004Show all

5 papers · 1 filter

q-bio.GN2004★ 5 cited

The Mystery of Two Straight Lines in Bacterial Genome Statistics. Release 2007

A. N. Gorban, A. Yu. Zinovyev

In special coordinates (codon position--specific nucleotide frequencies) bacterial genomes form two straight lines in 9-dimensional space: one line for eubacterial genomes, another…

q-bio.QM2004★ 2 cited

MultiNeuron - Neural Networks Simulator For Medical, Physiological, and Psychological Applications

A. N. Gorban, D. A. Rossiyev, M. G. Dorrer

This work describes neural software applied in medicine and physiology to: investigate and diagnose immune deficiencies; diagnose and study allergic and pseudoallergic reactions; f…

q-bio.GN2004★ 7 cited

Four basic symmetry types in the universal 7-cluster structure of 143 complete bacterial genomic sequences

A. N. Gorban, T. G. Popova, A. Yu. Zinovyev

Coding information is the main source of heterogeneity (non-randomness) in the sequences of bacterial genomes. This information can be naturally modeled by analysing cluster struct…

cond-mat.dis-nn2004★ 63 cited

Elastic principal manifolds and their practical applications

A. N. Gorban, A. Yu. Zinovyev

Principal manifolds serve as useful tool for many practical applications. These manifolds are defined as lines or surfaces passing through "the middle" of data distribution. We pro…

cond-mat.stat-mech2004★ 62 cited

Selection theorem for systems with inheritance

A. N. Gorban

The problem of finite-dimensional asymptotics of infinite-dimensional dynamic systems is studied. A non-linear kinetic system with conservation of supports for distributions has ge…