Fluorescence of photosensitizer and its diffusion in biological

liquid flow

Maryakhina V.S., Gun’kov v.v.

Orenburg state universityv.s.maryakhina@gmail.com

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