Energy Considerations in a Model of Nematode Sperm Crawling
In this paper we propose a mathematical model for nematode spermcell crawling. The model takes into account both force and energybalance in the process of lamellipodium protrusion and cellnucleus drag. It is shown that by specifying the (possiblyvariable) efficiency of the major sperm protein biomot...
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| Format: | Article |
| Language: | English |
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AIMS Press
2006-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.347 |
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| author | Borys V. Bazaliy Ya. B. Bazaliy Avner Friedman Bei Hu |
| author_facet | Borys V. Bazaliy Ya. B. Bazaliy Avner Friedman Bei Hu |
| author_sort | Borys V. Bazaliy |
| collection | DOAJ |
| description | In this paper we propose a mathematical model for nematode spermcell crawling. The model takes into account both force and energybalance in the process of lamellipodium protrusion and cellnucleus drag. It is shown that by specifying the (possiblyvariable) efficiency of the major sperm protein biomotor onecompletely determines a self-consistent problem of thelamellipodium-nucleus motion. The model thus obtained properlyaccounts for the feedback of the load on the lamellipodiumprotrusion, which in general should not be neglected. We study andanalyze the steady crawling state for a particular efficiencyfunction and find that all nonzero modes, up to a large magnitude,are linearly asymptotically stable, thus reproducing theexperimental observations of the long periods of steady crawlingexhibited by the nematode sperm cells. |
| format | Article |
| id | doaj-art-662fc1543e064d369dd4c6a9b78afe35 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-662fc1543e064d369dd4c6a9b78afe352025-01-24T01:51:19ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-01-013234737010.3934/mbe.2006.3.347Energy Considerations in a Model of Nematode Sperm CrawlingBorys V. Bazaliy0Ya. B. Bazaliy1Avner Friedman2Bei Hu3Institute of Applied Mathematics and Mechanics, National Academy of ScienceInstitute of Applied Mathematics and Mechanics, National Academy of ScienceInstitute of Applied Mathematics and Mechanics, National Academy of ScienceInstitute of Applied Mathematics and Mechanics, National Academy of ScienceIn this paper we propose a mathematical model for nematode spermcell crawling. The model takes into account both force and energybalance in the process of lamellipodium protrusion and cellnucleus drag. It is shown that by specifying the (possiblyvariable) efficiency of the major sperm protein biomotor onecompletely determines a self-consistent problem of thelamellipodium-nucleus motion. The model thus obtained properlyaccounts for the feedback of the load on the lamellipodiumprotrusion, which in general should not be neglected. We study andanalyze the steady crawling state for a particular efficiencyfunction and find that all nonzero modes, up to a large magnitude,are linearly asymptotically stable, thus reproducing theexperimental observations of the long periods of steady crawlingexhibited by the nematode sperm cells.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.347crawlingstabilitynematode sperm celltravelling wave solution.biomotor thermodynamicsfree bound-ary problem |
| spellingShingle | Borys V. Bazaliy Ya. B. Bazaliy Avner Friedman Bei Hu Energy Considerations in a Model of Nematode Sperm Crawling Mathematical Biosciences and Engineering crawling stability nematode sperm cell travelling wave solution. biomotor thermodynamics free bound-ary problem |
| title | Energy Considerations in a Model of Nematode Sperm Crawling |
| title_full | Energy Considerations in a Model of Nematode Sperm Crawling |
| title_fullStr | Energy Considerations in a Model of Nematode Sperm Crawling |
| title_full_unstemmed | Energy Considerations in a Model of Nematode Sperm Crawling |
| title_short | Energy Considerations in a Model of Nematode Sperm Crawling |
| title_sort | energy considerations in a model of nematode sperm crawling |
| topic | crawling stability nematode sperm cell travelling wave solution. biomotor thermodynamics free bound-ary problem |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.347 |
| work_keys_str_mv | AT borysvbazaliy energyconsiderationsinamodelofnematodespermcrawling AT yabbazaliy energyconsiderationsinamodelofnematodespermcrawling AT avnerfriedman energyconsiderationsinamodelofnematodespermcrawling AT beihu energyconsiderationsinamodelofnematodespermcrawling |