Speckle Tomography of the Living-Cell Functions
This work is aimed at creating the theoretical basis for the method allowing one to layer-by-layer reconstruct the parameters which characterize the processes occurring in small regions of living cells. The problem of the speckle dynamics in the object-image plane, which is caused by random variatio...
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| Veröffentlicht in: | Radiophysics and quantum electronics 2021-07, Vol.63 (8), p.592-604 |
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| description | This work is aimed at creating the theoretical basis for the method allowing one to layer-by-layer reconstruct the parameters which characterize the processes occurring in small regions of living cells. The problem of the speckle dynamics in the object-image plane, which is caused by random variations in the optical paths of the waves in various layers inside the cell, is theoretically solved for a model of the cell in the form of a thin phase object located near the phase screen. On the assumption that the random variations in the difference Δ
u
of the optical paths of the wave pairs are independent in these layers, expressions for the time-averaged radiation intensity
Ĩ
at an arbitrary point of the image plane and for the time autocorrelation function
η
(
t
1
,
t
2
) of this intensity are obtained. The formulas relating the parameters which characterize the occurring processes (the cell functions) to the quantities
Ĩ
and
η
are obtained. In the formula for
Ĩ
, such parameters are the average value and variance of the quantity Δ
u
, which are obtained by averaging over the time and the region whose sizes are equal to the linear resolution of the lens and the layer thickness. The average values and variances of the quantity Δ
u
at the time instants
t
1
and
t
2
, as well as the time autocorrelation function
η
(
t
1
,
t
2
) of the quantity Δ
u
, which are additionally averaged over the ensemble of objects, are the functional parameters of the regions in the formula for
η
(
t
1
,
t
2
). It is theoretically shown that the above-mentioned parameters, which are obtained by averaging over the cell thickness, are sums of the similar parameters in the cell layers. The correspondence of the formula for
η
(
t
1
,
t
2
) to the physical processes occurring in the cells is shown using living cells, which are located on a glass substrate after defrosting. Assuming that four processes, which independently change the wave phases, are observed in the cells, a very good agreement between the theory and experiment is obtained. |
| doi_str_mv | 10.1007/s11141-021-10082-y |
| format | Article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2550667992</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A730754221</galeid><sourcerecordid>A730754221</sourcerecordid><originalsourceid>FETCH-LOGICAL-c278t-ecfb876c6bce822ba67524735f262fac8d0ac4160fd0cf2ec34d9de4c15364853</originalsourceid><addsrcrecordid>eNqNkE9Lw0AQxRdRsFa_gKeA521n_yfHUqwKBQ_W85JudtPUNBt3U6Hf3tUI3kTmMMzwfjOPh9AtgRkBUPNICOEEAyU4zTnFpzM0IUIxXBAK52gCwBjOOWeX6CrGPUCS8XyC5i-9NW-tzTb-4OtQ9rtT5l027Gy2bj6arsZL27bZ6tiZofFdvEYXrmyjvfnpU_S6ut8sH_H6-eFpuVhjQ1U-YGvcNlfSyK2xOaXbUipBuWLCUUldafIKSsOJBFeBcdQaxquistwQwSTPBZuiu_FuH_z70cZB7_0xdOmlpkKAlKooaFLNRlVdtlY3nfNDKE2qyh4a4zvrmrRfKAZKcErJfwGZPAsACgmgI2CCjzFYp_vQHMpw0gT0V_R6jF6n6PV39PqUIDZCMYm72oZf839Qn70rhPI</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2550667992</pqid></control><display><type>article</type><title>Speckle Tomography of the Living-Cell Functions</title><source>SpringerLink Journals - AutoHoldings</source><creator>Vladimirov, A. P.</creator><creatorcontrib>Vladimirov, A. P.</creatorcontrib><description>This work is aimed at creating the theoretical basis for the method allowing one to layer-by-layer reconstruct the parameters which characterize the processes occurring in small regions of living cells. The problem of the speckle dynamics in the object-image plane, which is caused by random variations in the optical paths of the waves in various layers inside the cell, is theoretically solved for a model of the cell in the form of a thin phase object located near the phase screen. On the assumption that the random variations in the difference Δ
u
of the optical paths of the wave pairs are independent in these layers, expressions for the time-averaged radiation intensity
Ĩ
at an arbitrary point of the image plane and for the time autocorrelation function
η
(
t
1
,
t
2
) of this intensity are obtained. The formulas relating the parameters which characterize the occurring processes (the cell functions) to the quantities
Ĩ
and
η
are obtained. In the formula for
Ĩ
, such parameters are the average value and variance of the quantity Δ
u
, which are obtained by averaging over the time and the region whose sizes are equal to the linear resolution of the lens and the layer thickness. The average values and variances of the quantity Δ
u
at the time instants
t
1
and
t
2
, as well as the time autocorrelation function
η
(
t
1
,
t
2
) of the quantity Δ
u
, which are additionally averaged over the ensemble of objects, are the functional parameters of the regions in the formula for
η
(
t
1
,
t
2
). It is theoretically shown that the above-mentioned parameters, which are obtained by averaging over the cell thickness, are sums of the similar parameters in the cell layers. The correspondence of the formula for
η
(
t
1
,
t
2
) to the physical processes occurring in the cells is shown using living cells, which are located on a glass substrate after defrosting. Assuming that four processes, which independently change the wave phases, are observed in the cells, a very good agreement between the theory and experiment is obtained.</description><identifier>ISSN: 0033-8443</identifier><identifier>EISSN: 1573-9120</identifier><identifier>DOI: 10.1007/s11141-021-10082-y</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Astronomy ; Astrophysics and Astroparticles ; Autocorrelation functions ; Cells (biology) ; Defrosting ; Formulas (mathematics) ; Glass substrates ; Hadrons ; Heavy Ions ; Lasers ; Mathematical and Computational Physics ; Nuclear Physics ; Observations and Techniques ; Optical Devices ; Optical paths ; Optics ; Phase objects ; Photonics ; Physics ; Physics and Astronomy ; Process parameters ; Quantum Optics ; Radiant flux density ; Theoretical ; Thickness</subject><ispartof>Radiophysics and quantum electronics, 2021-07, Vol.63 (8), p.592-604</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021</rights><rights>COPYRIGHT 2021 Springer</rights><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c278t-ecfb876c6bce822ba67524735f262fac8d0ac4160fd0cf2ec34d9de4c15364853</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11141-021-10082-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11141-021-10082-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Vladimirov, A. P.</creatorcontrib><title>Speckle Tomography of the Living-Cell Functions</title><title>Radiophysics and quantum electronics</title><addtitle>Radiophys Quantum El</addtitle><description>This work is aimed at creating the theoretical basis for the method allowing one to layer-by-layer reconstruct the parameters which characterize the processes occurring in small regions of living cells. The problem of the speckle dynamics in the object-image plane, which is caused by random variations in the optical paths of the waves in various layers inside the cell, is theoretically solved for a model of the cell in the form of a thin phase object located near the phase screen. On the assumption that the random variations in the difference Δ
u
of the optical paths of the wave pairs are independent in these layers, expressions for the time-averaged radiation intensity
Ĩ
at an arbitrary point of the image plane and for the time autocorrelation function
η
(
t
1
,
t
2
) of this intensity are obtained. The formulas relating the parameters which characterize the occurring processes (the cell functions) to the quantities
Ĩ
and
η
are obtained. In the formula for
Ĩ
, such parameters are the average value and variance of the quantity Δ
u
, which are obtained by averaging over the time and the region whose sizes are equal to the linear resolution of the lens and the layer thickness. The average values and variances of the quantity Δ
u
at the time instants
t
1
and
t
2
, as well as the time autocorrelation function
η
(
t
1
,
t
2
) of the quantity Δ
u
, which are additionally averaged over the ensemble of objects, are the functional parameters of the regions in the formula for
η
(
t
1
,
t
2
). It is theoretically shown that the above-mentioned parameters, which are obtained by averaging over the cell thickness, are sums of the similar parameters in the cell layers. The correspondence of the formula for
η
(
t
1
,
t
2
) to the physical processes occurring in the cells is shown using living cells, which are located on a glass substrate after defrosting. Assuming that four processes, which independently change the wave phases, are observed in the cells, a very good agreement between the theory and experiment is obtained.</description><subject>Astronomy</subject><subject>Astrophysics and Astroparticles</subject><subject>Autocorrelation functions</subject><subject>Cells (biology)</subject><subject>Defrosting</subject><subject>Formulas (mathematics)</subject><subject>Glass substrates</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Lasers</subject><subject>Mathematical and Computational Physics</subject><subject>Nuclear Physics</subject><subject>Observations and Techniques</subject><subject>Optical Devices</subject><subject>Optical paths</subject><subject>Optics</subject><subject>Phase objects</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Process parameters</subject><subject>Quantum Optics</subject><subject>Radiant flux density</subject><subject>Theoretical</subject><subject>Thickness</subject><issn>0033-8443</issn><issn>1573-9120</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqNkE9Lw0AQxRdRsFa_gKeA521n_yfHUqwKBQ_W85JudtPUNBt3U6Hf3tUI3kTmMMzwfjOPh9AtgRkBUPNICOEEAyU4zTnFpzM0IUIxXBAK52gCwBjOOWeX6CrGPUCS8XyC5i-9NW-tzTb-4OtQ9rtT5l027Gy2bj6arsZL27bZ6tiZofFdvEYXrmyjvfnpU_S6ut8sH_H6-eFpuVhjQ1U-YGvcNlfSyK2xOaXbUipBuWLCUUldafIKSsOJBFeBcdQaxquistwQwSTPBZuiu_FuH_z70cZB7_0xdOmlpkKAlKooaFLNRlVdtlY3nfNDKE2qyh4a4zvrmrRfKAZKcErJfwGZPAsACgmgI2CCjzFYp_vQHMpw0gT0V_R6jF6n6PV39PqUIDZCMYm72oZf839Qn70rhPI</recordid><startdate>20210701</startdate><enddate>20210701</enddate><creator>Vladimirov, A. P.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20210701</creationdate><title>Speckle Tomography of the Living-Cell Functions</title><author>Vladimirov, A. P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c278t-ecfb876c6bce822ba67524735f262fac8d0ac4160fd0cf2ec34d9de4c15364853</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Astronomy</topic><topic>Astrophysics and Astroparticles</topic><topic>Autocorrelation functions</topic><topic>Cells (biology)</topic><topic>Defrosting</topic><topic>Formulas (mathematics)</topic><topic>Glass substrates</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Lasers</topic><topic>Mathematical and Computational Physics</topic><topic>Nuclear Physics</topic><topic>Observations and Techniques</topic><topic>Optical Devices</topic><topic>Optical paths</topic><topic>Optics</topic><topic>Phase objects</topic><topic>Photonics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Process parameters</topic><topic>Quantum Optics</topic><topic>Radiant flux density</topic><topic>Theoretical</topic><topic>Thickness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vladimirov, A. P.</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Radiophysics and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vladimirov, A. P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Speckle Tomography of the Living-Cell Functions</atitle><jtitle>Radiophysics and quantum electronics</jtitle><stitle>Radiophys Quantum El</stitle><date>2021-07-01</date><risdate>2021</risdate><volume>63</volume><issue>8</issue><spage>592</spage><epage>604</epage><pages>592-604</pages><issn>0033-8443</issn><eissn>1573-9120</eissn><abstract>This work is aimed at creating the theoretical basis for the method allowing one to layer-by-layer reconstruct the parameters which characterize the processes occurring in small regions of living cells. The problem of the speckle dynamics in the object-image plane, which is caused by random variations in the optical paths of the waves in various layers inside the cell, is theoretically solved for a model of the cell in the form of a thin phase object located near the phase screen. On the assumption that the random variations in the difference Δ
u
of the optical paths of the wave pairs are independent in these layers, expressions for the time-averaged radiation intensity
Ĩ
at an arbitrary point of the image plane and for the time autocorrelation function
η
(
t
1
,
t
2
) of this intensity are obtained. The formulas relating the parameters which characterize the occurring processes (the cell functions) to the quantities
Ĩ
and
η
are obtained. In the formula for
Ĩ
, such parameters are the average value and variance of the quantity Δ
u
, which are obtained by averaging over the time and the region whose sizes are equal to the linear resolution of the lens and the layer thickness. The average values and variances of the quantity Δ
u
at the time instants
t
1
and
t
2
, as well as the time autocorrelation function
η
(
t
1
,
t
2
) of the quantity Δ
u
, which are additionally averaged over the ensemble of objects, are the functional parameters of the regions in the formula for
η
(
t
1
,
t
2
). It is theoretically shown that the above-mentioned parameters, which are obtained by averaging over the cell thickness, are sums of the similar parameters in the cell layers. The correspondence of the formula for
η
(
t
1
,
t
2
) to the physical processes occurring in the cells is shown using living cells, which are located on a glass substrate after defrosting. Assuming that four processes, which independently change the wave phases, are observed in the cells, a very good agreement between the theory and experiment is obtained.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11141-021-10082-y</doi><tpages>13</tpages></addata></record> |
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| ispartof | Radiophysics and quantum electronics, 2021-07, Vol.63 (8), p.592-604 |
| issn | 0033-8443 1573-9120 |
| language | eng |
| recordid | cdi_proquest_journals_2550667992 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Astronomy Astrophysics and Astroparticles Autocorrelation functions Cells (biology) Defrosting Formulas (mathematics) Glass substrates Hadrons Heavy Ions Lasers Mathematical and Computational Physics Nuclear Physics Observations and Techniques Optical Devices Optical paths Optics Phase objects Photonics Physics Physics and Astronomy Process parameters Quantum Optics Radiant flux density Theoretical Thickness |
| title | Speckle Tomography of the Living-Cell Functions |
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