Morphogenesis is one of the most important themes in biology, and is also central to nonequilibrium physics. The issue is understanding how local interaction of elementary components leads to collective behavior and the formation of a highly organized system. In living nature, this self-organization is found on many different scales, from single cells to schools of fish and herds of animals. The collective dynamics of populations of microorganisms has attracted significant attention in recent years both in the biological and physics communities. Collective behavior leads to significant selective advantages for bacteria. Many species of bacteria form biofilms on various surfaces in order to resist environmental stresses. Biofilms are commonly present in natural environments such as living tissues, the surface of rocks and soils, or aquatic systems, but they can also be found in human-made systems and devices, such as industrial piping, artificial implants, etc. Understanding biofilm formation involves a variety of physical, chemical and biological issues, such as microorganism chemotaxis, motility, cell-cell signaling, attachment, substrate effects, gene regulation, etc. In this work we focus on the growth and ordering of dense colonies of rod-shaped bacteria Escherichia coli in well-controlled environments. Quantitative study of this process is essential for elucidation of the physical and biological properties of biofilms.
Experimental techniques We will use strains of E. coli that lack flagella in our experimental studies of bacterial colony growth. Initially, small population of cells ( 10^2- 10^3 cells) will be inserted in specially designed microfluidic cavities and supplied with the necessary carbon sources to facilitate growth. Growth of the cells can be controlled by regulating the concentration of the carbon source (e.g. glucose) in the nutrient flow. The colony structure will be observed and recorded using high-throughput microscopy and analyzed using specially designed software. Microfluidic devices will be designed and fabricated using well established techniques[4]. Microfluidic devices are generally restricted to the laminar flow regime primarily due to the fact that the driving pressure required to initiate and maintain turbulent flows are unfeasible at the microscale. We will use differential pressure as a means of driving the flow, either by hydrostatic (gravity) or mechanical (syringe pump) methods. For device fabrication, we will use replica molding of poly-dimethylsiloxane (PDMS), a transparent (down to light at ~250 nm) elastomeric rubber. Details of the fabrication may be found elsewhere [5].
To model the proliferation of cells in a microfluidic environment, we generalize an algorithm which we developed earlier to describe the dynamics of granular rods [1]. The algorithm is based on the well-known method of molecular dynamics (MD) simulations [2] which is widely used in different areas of statistical physics. The main idea of the method is to follow the dynamics of individual ``particles'' which constitute the system under study. In the case of a gas these particles are molecules, and in the case of granular material each particle represent a particular grain. The motion of every particle is described by Newton's equations for translational and rotational degrees of freedom. Details of their motion depend on the structure of the particles, their mutual interaction, and on the external forces/torques exerted on every particle. The main difficulty of the method lies in determining all of the contacts and computing the contact forces. To compute the forces, we employ a soft-particle MD simulation technique which allows for overlaps between the particles. More details of the methods of effective contact detection and computation of the contact forces may be found in our earlier work on dynamics of anisotropic granular particles [1,3].
| a | b |
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| c | d |
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