Fluorescence of photosensitizer and its diffusion in biological liquid flow Maryakhina V.S.,...
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Transcript of Fluorescence of photosensitizer and its diffusion in biological liquid flow Maryakhina V.S.,...
Fluorescence of photosensitizer and its diffusion in biological
liquid flow
Maryakhina V.S., Gun’kov v.v.
Orenburg state [email protected]
Exemplary fluorescence images of one animal after injection 2 μmol/kg TSC (tetrasulfonated carbocyanine) intravenously into F9-teratocarcinoma
bearing mice
Christin Perlitz, etc //Journal of Fluorescence, Vol. 15, No. 3, May 2005
EnzymeCells
Monomer photosensitizer
Enzyme
DimerMonomer photosensitizer
fixed
moving
)(),()(),()(
),()(),(2),(),(
),()(),(2),(),(
1122
222
22
22
111
21
21
tNtrNktNtrNkdt
tdN
trNtNkr
trN
rr
trND
t
trN
trNtNkr
trN
rr
trND
t
trN
)()()()()()(),( 13'
2'
1 21tNStNStNStS
Maryakhina V.S., Gunkov V.V. Computer research and modeling.- 2013.- V.5.- №5.- p. 835-843
Dynamics of bengal rose fluorescence in model solution of collagenase with mammary cells
rr
rrkTk
i
ii
32
Concentration changes of photosensitizer molecules at immobilization process received from two models
Changing of fluorescence intensivity at 560 nm
Enzyme
560 nm
545 nm
Ccol=0.1 mg/ml
Ccol=0.5 mg/ml
Maryakhina V.S., Gunkov V.V. Computer research and modeling.- 2013.- V.5.- №5.- p. 835-843
Comparison of experimental and theoretical results
The normalized experimental (1,2) and theoretical (3,4) fluorescence spectra of erythrosine in collagenase solution 0.1 mkg/ml after addition of dye aliquot with initial concentration: 1,3- 0.1 mМ; 2,4- 1 mМ.
Maryakhina V.S., Gunkov V.V. Computer research and modeling.- 2013.- V.5.- №5.- p. 835-843
Maryakhina V.S., Letuta S.N.// Laser physics.- 2014.- V. 24.- p. 035601
eosinebengal rose
1- 10-4 М2- 10-3 М
4- health mouse3- cancer 1 cm2- cancer 2 cm1- cancer 3 cm
Fluorescence spectra of dye with collagenase molecule
bengal rose eosine
Phosphorescence of dye with collagenase molecules
Collagenase (powder) Collagenase (powder) + eosine 10-4М + eosine 10-3М
Fluorescent microscopy results
Maryakhina V.S.// Proc.. of SPIE.- 2013.- V. 8699
wblood
t1 t2 t3
t1 t2 t3
For biological liquid flow (blood, for example)
- differential equation of convective diffusion (moving medium)
a few phases
CDgradCwt
C 2
ww, wp, wcell- rate of water, peptide and cell phasesassumptions- ww= wp= wcell
- movable coordinates
),(),(),(),(),(
),(),(),(),(),(
),(),(),(),(),(),(),(
12
2
12
2
212
2
trCtrCkr
trCD
r
trCw
t
trC
trCtrCkr
trCD
r
trCw
t
trC
trCtrCktrCtrCkr
trCD
r
trCw
t
trC
cellwcell
cellcell
cellcell
pwp
pp
pp
cellwpww
ww
ww
),(),(),(),(
),(),(),(),(
),(),(),(),(),(),(
22
2
12
2
212
2
trCtrCkr
trCD
t
trC
trCtrCkr
trCD
t
trC
trCtrCktrCtrCkr
trCD
t
trC
cellwcell
cellcell
pwp
pp
cellwpww
ww
Initial and bordering conditions
0.5 mm
dvessel = 0.5 cm
Cw(r,0) = Gauss destribution
Dw = 10-9 cm2/s
Dp = 2.8 10-12 cm2/s
Dcell = 4.5 10-15 cm2/s
R
kTDt 6
RR
RRkTk
i
ii
32
Cp(r,0) = 2 Ccell(r,0)
0
),()( dr
r
trCtC i
i
600 s
600 s
600 s
Concentration of injected compound
Concentration of free cellsConcentration of free peptides
Thank you for your attention
This work is partially supported by grant of RFBR №14-01-31081 mol_a