Dissipative structures in biological systems: bistability, oscillations, spatial patterns and waves

A Goldbeter - … Transactions of the Royal Society A …, 2018 - royalsocietypublishing.org
The goal of this review article is to assess how relevant is the concept of dissipative structure
for understanding the dynamical bases of non-equilibrium self-organization in biological …

Mathematical models for immunology: current state of the art and future research directions

R Eftimie, JJ Gillard, DA Cantrell - Bulletin of mathematical biology, 2016 - Springer
The advances in genetics and biochemistry that have taken place over the last 10 years led
to significant advances in experimental and clinical immunology. In turn, this has led to the …

Information transduction capacity of noisy biochemical signaling networks

R Cheong, A Rhee, CJ Wang, I Nemenman… - science, 2011 - science.org
Molecular noise restricts the ability of an individual cell to resolve input signals of different
strengths and gather information about the external environment. Transmitting information …

[图书][B] Mathematical modeling in systems biology: an introduction

BP Ingalls - 2013 - books.google.com
An introduction to the mathematical concepts and techniques needed for the construction
and analysis of models in molecular systems biology. Systems techniques are integral to …

The free-energy cost of accurate biochemical oscillations

Y Cao, H Wang, Q Ouyang, Y Tu - Nature physics, 2015 - nature.com
Oscillations within the cell regulate the timing of many important life cycles. However, in this
noisy environment, oscillations can be highly inaccurate owing to phase fluctuations. It …

Understanding NF‐κB signaling via mathematical modeling

R Cheong, A Hoffmann, A Levchenko - Molecular systems biology, 2008 - embopress.org
Mammalian inflammatory signaling, for which NF‐κB is a principal transcription factor, is an
exquisite example of how cellular signaling pathways can be regulated to produce different …

Lessons from mathematically modeling the NF‐κB pathway

S Basak, M Behar, A Hoffmann - Immunological reviews, 2012 - Wiley Online Library
Mathematical modeling has proved to be a critically important approach in the study of many
complex networks and dynamic systems in physics, engineering, chemistry, and biology …

On chaotic dynamics in transcription factors and the associated effects in differential gene regulation

ML Heltberg, S Krishna, MH Jensen - Nature communications, 2019 - nature.com
The control of proteins by a transcription factor with periodically varying concentration
exhibits intriguing dynamical behaviour. Even though it is accepted that transcription factors …

Spatiotemporal NF-κB dynamics encodes the position, amplitude, and duration of local immune inputs

M Son, T Frank, T Holst-Hansen, AG Wang… - Science …, 2022 - science.org
Infected cells communicate through secreted signaling molecules like cytokines, which carry
information about pathogens. How differences in cytokine secretion affect inflammatory …

The Goodwin oscillator and its legacy

D Gonze, P Ruoff - Acta Biotheoretica, 2021 - Springer
Abstract In the 1960's Brian Goodwin published a couple of mathematical models showing
how feedback inhibition can lead to oscillations and discussed possible implications of this …