Comput Math Methods Med - The use of fractal dimension analysis in estimation of blood vessels shape in transplantable mammary adenocarcinoma in Wistar rats after photodynamic therapy combined with cysteine protease inhibitors.


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Fractal dimension analysis (FDA) is modern mathematical method widely used to describing of complex and chaotic shapes when classic methods fail. The main aim of this study was evaluating the influence of photodynamic therapy (PDT) with cystein proteases inhibitors (CPI) on the number and morphology of blood vessels inside tumor and on increase of effectiveness of combined therapy in contrast to PDT and CPI used separately. Animals were divided into four groups: control, treated using only PDT, treated using only CPI and treated using combined therapy, PDT and CPI. Results showed that time of animal survival and depth of necrosis inside tumor were significantly higher in CPI+PDT group in contrast to other groups. The higher value of fractal dimension (FD) was observed in control group, while the lowest value was found in the group which was treated by cystein protease inhibitors. The differences between FD were observed in CPI group and PDT+CPI group in comparison to control group. Our results revealed that fractal dimension analysis is a very useful tool in estimating differences between irregular shapes like blood vessels in PDT treated tumors. Thus, the implementation of FDA algorithms could be useful method in evaluating the efficacy of PDT.

Resumo Limpo

fractal dimens analysi fda modern mathemat method wide use describ complex chaotic shape classic method fail main aim studi evalu influenc photodynam therapi pdt cystein proteas inhibitor cpi number morpholog blood vessel insid tumor increas effect combin therapi contrast pdt cpi use separ anim divid four group control treat use pdt treat use cpi treat use combin therapi pdt cpi result show time anim surviv depth necrosi insid tumor signific higher cpipdt group contrast group higher valu fractal dimens fd observ control group lowest valu found group treat cystein proteas inhibitor differ fd observ cpi group pdtcpi group comparison control group result reveal fractal dimens analysi use tool estim differ irregular shape like blood vessel pdt treat tumor thus implement fda algorithm use method evalu efficaci pdt

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