Fractal Geometry in Tumour Immunoediting

Author:

Soleymani Nasim1,Shariatpanahi Seyed Peyman1,Goliaei Bahram2

Affiliation:

1. Institute of Biochemistry and Biophysics, University of Tehran

2. , Institute of Biochemistry and Biophysics, University of Tehran

Abstract

Abstract As being composed of cancer cells and myofibroblasts, different areas including cancer nest and stroma develop in tumour. The latter plays an important role in penetration of immune system. On the other hand, immune cells do not spread evenly in these areas, and don’t have the same effect on different cells. It is well established that tumour tissue has fractal properties, including unique fractional dimension along with lacunarity. In this study, partial differential equations were applied to simulate the infiltration and diffusion of immune cells in the two areas of modelled tumour tissue. Here we show that not only is fractal dimension an important factor in immunoediting, but also the fractal architecture of tumour plays a vital role in maintaining tumour in equilibrium. The significance of lacunarity is shown in the results. It is shown that tumours with smaller fractal dimension and greater lacunarity are defined as malignant, in contrast, tumours with greater fractal dimension and smaller lacunarity are defined as benign, both of which is due to immunoediting procedure occurring different relating to not just the fractal dimension but also to the pre-fractal architecture of tumour.

Publisher

Research Square Platform LLC

Reference34 articles.

1. Lodish, H. Molecular Cell Biology. New York: W. H. Freeman and Company; (2016).

2. Fractals, chaos, and cancer: do they coincide?;Sedivy R;Cancer Invest,1997

3. Fractal dimension and architecture of trabecular bone;Fazzalari NL;J. Pathol.,1996

4. Smith, T. G. Jr. et al. A fractal analysis of cell images. J. Neurosci. Methods 27, 173–180 (1989). [published correction appears in J. Neurosci. Methods 31, 251 (1990)].

5. Fractal Dimension Analysis to Detect the Progress of Cancer Using Transmission Optical Microscopy;Elkington L;Biophysica,2022

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3