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9 Results Found

  • Article
  • Open Access
1 Citations
1,298 Views
18 Pages

17 December 2024

Biochemical reaction systems in a cell exhibit stochastic behaviour, owing to the unpredictable nature of the molecular interactions. The fluctuations at the molecular level may lead to a different behaviour than that predicted by the deterministic m...

  • Feature Paper
  • Review
  • Open Access
1 Citations
3,188 Views
20 Pages

21 June 2025

Markov chain perturbation theory is a rapidly developing subfield of the theory of stochastic processes. This review outlines emerging applications of this theory in the analysis of stochastic models of chemical reactions, with a particular focus on...

  • Article
  • Open Access
2 Citations
2,204 Views
18 Pages

Shaping and Dilating the Fitness Landscape for Parameter Estimation in Stochastic Biochemical Models

  • Marco S. Nobile,
  • Daniele M. Papetti,
  • Simone Spolaor,
  • Paolo Cazzaniga and
  • Luca Manzoni

1 July 2022

The parameter estimation (PE) of biochemical reactions is one of the most challenging tasks in systems biology given the pivotal role of these kinetic constants in driving the behavior of biochemical systems. PE is a non-convex, multi-modal, and non-...

  • Article
  • Open Access
1 Citations
2,914 Views
26 Pages

Mathematical Model Predicting the Kinetics of Intracellular LCMV Replication

  • Julia Sergeeva,
  • Dmitry Grebennikov,
  • Valentina Casella,
  • Paula Cebollada Rica,
  • Andreas Meyerhans and
  • Gennady Bocharov

27 October 2023

The lymphocytic choriomeningitis virus (LCMV) is a non-cytopathic virus broadly used in fundamental immunology as a mouse model for acute and chronic virus infections. LCMV remains a cause of meningitis in humans, in particular the fatal LCMV infecti...

  • Article
  • Open Access
158 Views
15 Pages

22 January 2026

This paper analyses several mathematical games developed 50 years ago by Manfred Eigen and Ruthild Winkler in their famous book “Laws of the Game: How the Principles of Nature Govern Chance,” published for the first time in German in 1975...

  • Article
  • Open Access
14 Citations
4,452 Views
19 Pages

Markov Chain-Based Stochastic Modelling of HIV-1 Life Cycle in a CD4 T Cell

  • Igor Sazonov,
  • Dmitry Grebennikov,
  • Andreas Meyerhans and
  • Gennady Bocharov

24 August 2021

Replication of Human Immunodeficiency Virus type 1 (HIV) in infected CD4+ T cells represents a key driver of HIV infection. The HIV life cycle is characterised by the heterogeneity of infected cells with respect to multiplicity of infection and the v...

  • Article
  • Open Access
1 Citations
2,887 Views
12 Pages

Stochastic Analysis of the RT-PCR Process in Single-Cell RNA-Seq

  • Aarón Vázquez-Jiménez and
  • Osbaldo Resendis-Antonio

7 October 2021

The single-cell RNA-seq allows exploring the transcriptome for one cell at a time. By doing so, cellular regulation is pictured. One limitation is the dropout events phenomenon, where a gene is observed at a low or moderate expression level in one ce...

  • Review
  • Open Access
16 Citations
7,274 Views
24 Pages

Recent Theoretical Approaches to Minimal Artificial Cells

  • Fabio Mavelli,
  • Emiliano Altamura,
  • Luigi Cassidei and
  • Pasquale Stano

8 May 2014

Minimal artificial cells (MACs) are self-assembled chemical systems able to mimic the behavior of living cells at a minimal level, i.e. to exhibit self-maintenance, self-reproduction and the capability of evolution. The bottom-up approach to the con...