6533b827fe1ef96bd1287074

RESEARCH PRODUCT

Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response.

Ewa Gudowska-nowakBernardo SpagnoloAnna Ochab-marcinekAlessandro Fiasconaro

subject

KineticsNoise intensityComputational methods in statistical physics and nonlinear dynamicNoise (electronics)Stability (probability)Quantitative Biology::Cell BehaviorImmune systemNeoplasmsChemical kinetics and dynamics.AnimalsHumansImmunologic FactorsComputer SimulationStatistical physicsQuantitative Biology - Populations and EvolutionCell ProliferationFluctuation phenomena random processes noise and Brownian motionStochastic ProcessesModels StatisticalStochastic processChemistryChemical kinetics in biological systemPopulations and Evolution (q-bio.PE)Models ImmunologicalImmunity InnateLangevin equationFOS: Biological sciencesNeoplastic cellBiological systemSignal Transduction

description

We investigate a stochastic version of a simple enzymatic reaction which follows the generic Michaelis-Menten kinetics. At sufficiently high concentrations of reacting species, the molecular fluctuations can be approximated as a realization of a Brownian dynamics for which the model reaction kinetics takes on the form of a stochastic differential equation. After eliminating a fast kinetics, the model can be rephrased into a form of a one-dimensional overdamped Langevin equation. We discuss physical aspects of environmental noises acting in such a reduced system, pointing out the possibility of coexistence of dynamical regimes where noise-enhanced stability and resonant activation phenomena can be observed together.

10.1103/physreve.74.041904https://pubmed.ncbi.nlm.nih.gov/17155093