Gyrotaxis: A plume model for self-focusing micro-organisms
We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particula...
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E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1994 |
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| Reproduktion: |
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 |
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| Übergeordnetes Werk: |
in: Bulletin of Mathematical Biology - Amsterdam : Elsevier, 56(1994), 2, Seite 187-206 |
| Übergeordnetes Werk: |
volume:56 ; year:1994 ; number:2 ; pages:187-206 |
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| 520 | |a We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. | ||
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(DE-627)NLEJ176878521 (DE-599)GBVNLZ176878521 DE-627 ger DE-627 rakwb eng Gyrotaxis: A plume model for self-focusing micro-organisms 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Timm, U. oth Okubo, A. oth in Bulletin of Mathematical Biology Amsterdam : Elsevier 56(1994), 2, Seite 187-206 (DE-627)NLEJ176866760 (DE-600)1462512-X 0092-8240 nnns volume:56 year:1994 number:2 pages:187-206 http://dx.doi.org/10.1016/S0092-8240(05)80255-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 56 1994 2 187-206 |
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(DE-627)NLEJ176878521 (DE-599)GBVNLZ176878521 DE-627 ger DE-627 rakwb eng Gyrotaxis: A plume model for self-focusing micro-organisms 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Timm, U. oth Okubo, A. oth in Bulletin of Mathematical Biology Amsterdam : Elsevier 56(1994), 2, Seite 187-206 (DE-627)NLEJ176866760 (DE-600)1462512-X 0092-8240 nnns volume:56 year:1994 number:2 pages:187-206 http://dx.doi.org/10.1016/S0092-8240(05)80255-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 56 1994 2 187-206 |
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(DE-627)NLEJ176878521 (DE-599)GBVNLZ176878521 DE-627 ger DE-627 rakwb eng Gyrotaxis: A plume model for self-focusing micro-organisms 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Timm, U. oth Okubo, A. oth in Bulletin of Mathematical Biology Amsterdam : Elsevier 56(1994), 2, Seite 187-206 (DE-627)NLEJ176866760 (DE-600)1462512-X 0092-8240 nnns volume:56 year:1994 number:2 pages:187-206 http://dx.doi.org/10.1016/S0092-8240(05)80255-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 56 1994 2 187-206 |
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(DE-627)NLEJ176878521 (DE-599)GBVNLZ176878521 DE-627 ger DE-627 rakwb eng Gyrotaxis: A plume model for self-focusing micro-organisms 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Timm, U. oth Okubo, A. oth in Bulletin of Mathematical Biology Amsterdam : Elsevier 56(1994), 2, Seite 187-206 (DE-627)NLEJ176866760 (DE-600)1462512-X 0092-8240 nnns volume:56 year:1994 number:2 pages:187-206 http://dx.doi.org/10.1016/S0092-8240(05)80255-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 56 1994 2 187-206 |
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(DE-627)NLEJ176878521 (DE-599)GBVNLZ176878521 DE-627 ger DE-627 rakwb eng Gyrotaxis: A plume model for self-focusing micro-organisms 1994 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Timm, U. oth Okubo, A. oth in Bulletin of Mathematical Biology Amsterdam : Elsevier 56(1994), 2, Seite 187-206 (DE-627)NLEJ176866760 (DE-600)1462512-X 0092-8240 nnns volume:56 year:1994 number:2 pages:187-206 http://dx.doi.org/10.1016/S0092-8240(05)80255-1 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 56 1994 2 187-206 |
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We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. |
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We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. |
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We consider the phenomenon of self-focusing pattern formation of motile micro-organisms (''streamer''). The focusing mechanism is based on gyrotaxis, a physical phenomenon, and it results from the balance between viscous and gravitational moments on the organisms. Under particular circumstances such streamers are stabilized and sink, resulting in vertical transport of micro-organisms as well as horizontal heterogeneity in cell concentration. We develop a plume model for the streamer, which consists of the equations of continuity, momentum, and cell concentration. These equations are further simplified to three basic equations representing volume, momentum and concentration fluxes of the steady-state plume. Asymptotic analytical solutions for the plume are obtained. From numerical solutions we find the shape of the plume which takes the form of a vertical string with lengths ranging from 1 to 10 cm. The streamer formation can be related to algal blooms occurring in the sea and to algal cultures grown in the laboratory. |
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