1. Fluorescence of photosensitizer and its diffusion in biological liquid flow Maryakhina V.S., Gun’kov v.v. Orenburg state university v.s.maryakhina@gmail.com

3. 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

4. Enzyme Cells Monomer photosensitizer Enzyme Dimer Monomer photosensitizer fixed moving

5. 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

6. Concentration changes of photosensitizer molecules at immobilization process received from two models

7. Changing of fluorescence intensivity at 560 nm Enzyme 560 nm 545 nm C col =0.1 mg/ml C col =0.5 mg/ml Maryakhina V.S., Gunkov V.V. Computer research and modeling.- 2013.- V.5.- №5.- p. 835-843

8. 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

9. Maryakhina V.S., Letuta S.N.// Laser physics.- 2014.- V. 24.- p. 035601 eosine bengal rose 1- 10 -4 М 2- 10 -3 М 4- health mouse 3- cancer 1 cm 2- cancer 2 cm 1- cancer 3 cm bengal roseeosine

10. Collagenase (powder) + eosine 10 -4 М + eosine 10 -3 М Fluorescent microscopy results Maryakhina V.S.// Proc.. of SPIE.- 2013.- V. 8699

11. w blood t1t1 t2t2 t3t3 t1t1 t2t2 t3t3

12. For biological liquid flow (blood, for example) - differential equation of convective diffusion (moving medium) a few phases w w, w p, w cell - rate of water, peptide and cell phases assumptions - w w = w p = w cell - movable coordinates

13. Initial and bordering conditions 0.5 mm d vessel = 0.5 cm C w (r,0) = Gauss destribution D w = 10 -9 cm 2 /s D p = 2.8 10 -12 cm 2 /s D cell = 4.5 10 -15 cm 2 /s C p (r,0) = 2 C cell (r,0)

15. 600 s Concentration of injected compound Concentration of free cellsConcentration of free peptides

16. Thank you for your attention This work is partially supported by grant of RFBR №14-01-31081 mol_a