Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
Inria, Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay, France. Americo.Marrocco@requin.inria.fr.
We start from a mathematical model which describes the collective motion of bacteria taking into account the underlying biochemistry. This model was first introduced by Keller-Segel . A new formulation of the system of partial differential equations is obtained by the introduction of a new variable (this new variable is similar to the quasi-Fermi level in the framework of semiconductor modelling). This new system of P.D.E. is approximated via a mixed finite element technique. The solution algorithm is then described and finally we give some preliminary numerical results. Especially our method is well adapted to compute the concentration of bacteria.
Mathematics Subject Classification: 35Q / 65M / 92B / 92C
Key words: Biophysics / chemotaxis / numerical simulation / mixed finite element.
© EDP Sciences, SMAI, 2003