Merging of viral concentration waves in retrograde viral transport in axons

Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradat...
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Autor*in:	Kuznetsov, Andrey V. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	neurotropic virus retrograde axonal transport molecular motors virus trafficking

Anmerkung:	© © Versita Warsaw and Springer-Verlag Wien 2011

Übergeordnetes Werk:	Enthalten in: Central European journal of physics - Warsaw : Central European Science Journals, 2003, 9(2011), 6 vom: 31. Aug.
Übergeordnetes Werk:	volume:9 ; year:2011 ; number:6 ; day:31 ; month:08

Links:	Volltext

DOI / URN:	10.2478/s11534-011-0070-z

Katalog-ID:	SPR02072893X

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allfields	10.2478/s11534-011-0070-z doi (DE-627)SPR02072893X (SPR)s11534-011-0070-z-e DE-627 ger DE-627 rakwb eng Kuznetsov, Andrey V. verfasserin aut Merging of viral concentration waves in retrograde viral transport in axons 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. neurotropic virus (dpeaa)DE-He213 retrograde axonal transport (dpeaa)DE-He213 molecular motors (dpeaa)DE-He213 virus trafficking (dpeaa)DE-He213 Enthalten in Central European journal of physics Warsaw : Central European Science Journals, 2003 9(2011), 6 vom: 31. Aug. (DE-627)358627494 (DE-600)2097188-6 1644-3608 nnns volume:9 year:2011 number:6 day:31 month:08 https://dx.doi.org/10.2478/s11534-011-0070-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 6 31 08
spelling	10.2478/s11534-011-0070-z doi (DE-627)SPR02072893X (SPR)s11534-011-0070-z-e DE-627 ger DE-627 rakwb eng Kuznetsov, Andrey V. verfasserin aut Merging of viral concentration waves in retrograde viral transport in axons 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. neurotropic virus (dpeaa)DE-He213 retrograde axonal transport (dpeaa)DE-He213 molecular motors (dpeaa)DE-He213 virus trafficking (dpeaa)DE-He213 Enthalten in Central European journal of physics Warsaw : Central European Science Journals, 2003 9(2011), 6 vom: 31. Aug. (DE-627)358627494 (DE-600)2097188-6 1644-3608 nnns volume:9 year:2011 number:6 day:31 month:08 https://dx.doi.org/10.2478/s11534-011-0070-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 6 31 08
allfields_unstemmed	10.2478/s11534-011-0070-z doi (DE-627)SPR02072893X (SPR)s11534-011-0070-z-e DE-627 ger DE-627 rakwb eng Kuznetsov, Andrey V. verfasserin aut Merging of viral concentration waves in retrograde viral transport in axons 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. neurotropic virus (dpeaa)DE-He213 retrograde axonal transport (dpeaa)DE-He213 molecular motors (dpeaa)DE-He213 virus trafficking (dpeaa)DE-He213 Enthalten in Central European journal of physics Warsaw : Central European Science Journals, 2003 9(2011), 6 vom: 31. Aug. (DE-627)358627494 (DE-600)2097188-6 1644-3608 nnns volume:9 year:2011 number:6 day:31 month:08 https://dx.doi.org/10.2478/s11534-011-0070-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 6 31 08
allfieldsGer	10.2478/s11534-011-0070-z doi (DE-627)SPR02072893X (SPR)s11534-011-0070-z-e DE-627 ger DE-627 rakwb eng Kuznetsov, Andrey V. verfasserin aut Merging of viral concentration waves in retrograde viral transport in axons 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. neurotropic virus (dpeaa)DE-He213 retrograde axonal transport (dpeaa)DE-He213 molecular motors (dpeaa)DE-He213 virus trafficking (dpeaa)DE-He213 Enthalten in Central European journal of physics Warsaw : Central European Science Journals, 2003 9(2011), 6 vom: 31. Aug. (DE-627)358627494 (DE-600)2097188-6 1644-3608 nnns volume:9 year:2011 number:6 day:31 month:08 https://dx.doi.org/10.2478/s11534-011-0070-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 6 31 08
allfieldsSound	10.2478/s11534-011-0070-z doi (DE-627)SPR02072893X (SPR)s11534-011-0070-z-e DE-627 ger DE-627 rakwb eng Kuznetsov, Andrey V. verfasserin aut Merging of viral concentration waves in retrograde viral transport in axons 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. neurotropic virus (dpeaa)DE-He213 retrograde axonal transport (dpeaa)DE-He213 molecular motors (dpeaa)DE-He213 virus trafficking (dpeaa)DE-He213 Enthalten in Central European journal of physics Warsaw : Central European Science Journals, 2003 9(2011), 6 vom: 31. Aug. (DE-627)358627494 (DE-600)2097188-6 1644-3608 nnns volume:9 year:2011 number:6 day:31 month:08 https://dx.doi.org/10.2478/s11534-011-0070-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 6 31 08
language	English
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author	Kuznetsov, Andrey V.
spellingShingle	Kuznetsov, Andrey V. misc neurotropic virus misc retrograde axonal transport misc molecular motors misc virus trafficking Merging of viral concentration waves in retrograde viral transport in axons
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topic_title	Merging of viral concentration waves in retrograde viral transport in axons neurotropic virus (dpeaa)DE-He213 retrograde axonal transport (dpeaa)DE-He213 molecular motors (dpeaa)DE-He213 virus trafficking (dpeaa)DE-He213
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title	Merging of viral concentration waves in retrograde viral transport in axons
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title_full	Merging of viral concentration waves in retrograde viral transport in axons
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title_sort	merging of viral concentration waves in retrograde viral transport in axons
title_auth	Merging of viral concentration waves in retrograde viral transport in axons
abstract	Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. © © Versita Warsaw and Springer-Verlag Wien 2011
abstractGer	Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. © © Versita Warsaw and Springer-Verlag Wien 2011
abstract_unstemmed	Abstract This paper develops an analytical solution describing propagation of two viral waves in an axon and applies the obtained analytical solution to investigating the dynamics of merging of these two waves as they move retrogradely toward the neuron body. The viral diffusivity and viral degradation are accounted for in the model. Computational results are presented for two situations: when all dynein motors move with the same velocity and when dynein motor velocity distribution is characterized by a probability density function (pdf). The effect of various model parameters on the time it takes for the waves to merge is discussed. It is proposed that observing the dynamics of wave merging can be used for determining parameters characterizing viral transport, such as the viral diffusivity. This may contribute toward better understanding of viral transport properties and potentially help in developing novel viral detection techniques. © © Versita Warsaw and Springer-Verlag Wien 2011
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title_short	Merging of viral concentration waves in retrograde viral transport in axons
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