Back to Search
Start Over
Stochastic dynamics and survival analysis of a cell population model with random perturbations
- Source :
- Mathematical Biosciences & Engineering. 15:1077-1098
- Publication Year :
- 2018
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2018.
-
Abstract
- We consider a model based on the logistic equation and linear kinetics to study the effect of toxicants with various initial concentrations on a cell population. To account for parameter uncertainties, in our model the coefficients of the linear and the quadratic terms of the logistic equation are affected by noise. We show that the stochastic model has a unique positive solution and we find conditions for extinction and persistence of the cell population. In case of persistence we find the stationary distribution. The analytical results are confirmed by Monte Carlo simulations.
- Subjects :
- Cell Survival
Stochastic modelling
Monte Carlo method
Population
Models, Biological
01 natural sciences
Noise (electronics)
Cell Line
Quadratic equation
Humans
Computer Simulation
Statistical physics
0101 mathematics
Logistic function
education
Mathematics
Stochastic Processes
education.field_of_study
Stationary distribution
Cytotoxins
Applied Mathematics
010102 general mathematics
Mathematical Concepts
General Medicine
Markov Chains
010101 applied mathematics
Computational Mathematics
Logistic Models
Population model
Modeling and Simulation
Linear Models
General Agricultural and Biological Sciences
Monte Carlo Method
Subjects
Details
- ISSN :
- 15471063
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Mathematical Biosciences & Engineering
- Accession number :
- edsair.doi.dedup.....7d4d7eb62b64baf93b8f6fba959b96dd