INDISIM, an individual-based discrete simulation model to study bacterial cultures.

An individual-based model has been developed and designed to simulate the growth and behaviour of bacterial colonies. The simulator is called INDISIM, which stands for INDividual DIScrete SIMulations. INDISIM is discrete in space and time, and controls a group of bacterial cells at each time step, using a set of random, time-dependent variables for each bacterium. These variables are used to characterize its position in space, biomass, state in the cellular reproduction cycle as well as other individual properties. The space where the bacterial colony evolves is also discrete. A physical lattice is introduced, subject to the appropriate boundary conditions. The lattice is subdivided into spatial cells, also defined by a set of random, time-dependent variables. These variables may include concentrations of different types of particles, nutrients, reaction products and residual products. Random variables are used to characterize the individual bacterium and the individual particle, as well as the updating of individual rules. Thus, the simulations are stochastic rather than deterministic. The whole set of variables, those that characterize the bacterial population and the environment where they evolve, enables the simulator to study the behaviour of each microorganism-such as its motion, uptake, metabolism, and viability-according to given rules suited for the system under study. These rules require the input of only a few parameters. Once this information is inputted, INDISIM simulates the behaviour of the system providing insights into the global properties of the system from the assumptions made on the properties of the individual bacteria. The relation between microscopic and global properties of the bacterial colony is obtained by using statistical averaging. In this work INDISIM has been used to study (a) biomass distributions, (b) the relationship between the rate of growth of a bacterial colony and the nutrient concentration and temperature, and (c) metabolic oscillations in batch bacterial colonies. The simulation results are found to be in very good qualitative agreement with available experimental data, and provide useful insights into the mechanisms involved in each case.

[1]  W. Donachie,et al.  Quantal Behavior of a Diffusible Factor Which Initiates Septum Formation at Potential Division Sites in Escherichia coli , 1974, Journal of bacteriology.

[2]  D. Brown,et al.  Models in biology : mathematics, statistics and computing , 1995 .

[3]  A Giró,et al.  Monte Carlo simulation program for ecosystems , 1986, Comput. Appl. Biosci..

[4]  Cristian Picioreanu,et al.  Constrained discounted Markov decision processes and Hamiltonian cycles , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[5]  Nonlinear phenomena and chaos in a monte carlo simulated microbial ecosystem , 1992 .

[6]  A. L. Koch,et al.  Control of wall band splitting in Streptococcus faecalis. , 1984, Journal of general microbiology.

[7]  J. Monod,et al.  Recherches sur la croissance des cultures bactériennes , 1942 .

[8]  The cell cycle of Escherichia coli and some of its regulatory systems , 1986 .

[9]  Jorge Wagensberg,et al.  On the analysis of microbiological processes by Monte Carlo simulation techniques , 1989, Comput. Appl. Biosci..

[10]  G. Booth,et al.  BacSim, a simulator for individual-based modelling of bacterial colony growth. , 1998, Microbiology.

[11]  J. Wagensberg,et al.  Metabolic oscillations of Escherichia coli recorded by microcalorimetry , 1990 .

[12]  A. N. Stokes,et al.  Model for bacterial culture growth rate throughout the entire biokinetic temperature range , 1983, Journal of bacteriology.

[13]  J Olley,et al.  Relationship between temperature and growth rate of bacterial cultures , 1982, Journal of bacteriology.

[14]  Jorge Wagensberg,et al.  Statistical aspects of biological organization , 1988 .

[15]  Ricard V. Solé,et al.  Controlling chaos in ecology: From deterministic to individual-based models , 1999, Bulletin of mathematical biology.

[16]  Ricard V. Solé,et al.  Self-organized criticality in Monte Carlo simulated ecosystems , 1992 .

[17]  R. K. Finn,et al.  Equations of substrate‐limited growth: The case for blackman kinetics , 1973, Biotechnology and bioengineering.

[18]  A. L. Koch Distribution of Cell Size in Growing Cultures of Bacteria and the Applicability of the Collins-Richmond Principle , 1966 .

[19]  G B Ermentrout,et al.  Cellular automata approaches to biological modeling. , 1993, Journal of theoretical biology.