Cells and attractant masses related by chemotactic aggregation

• Autorzy: Domański, Z.
• Języki publikacji: EN

Abstrakty

EN

The active role played by chemotactic current density of the migrating cells in order to overcome its diffusion current, leads to a spatially - non-homogeneous and time - presistent distribution of the cells. We show that independently of the initial attractant concentration, its quantity tends exponentially to the concentration of cells as the system approaches a steady state.

Słowa kluczowe

PL

chemotaksja

EN

Keller-Segel model; chemotaxis; cells; attractant masses

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 1
• Strony: 23-28
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Domański, Z.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Murray J.D., Mathematical Biology, Springer - Verlag Berlin, Heidelberg 1993.
• [2] Vasiev B.N., Hogeweg P., and Panfilov A.V., Phys. Rev. Letters 1994, 73, 3173-3176.
• [3] Levine H., Reynolds W., Phys. Rev. Letters 1991, 66, 2400-2403.
• [4] Maini P.K., Myerscough M.R., Winters K.H., Murray J.D., Bull. Math. Biology 1991, 53, 701-719.
• [5] Keller E.F., Segel L.A., Journal Theoretical Biology 1970, 26, 399-415.