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A stochastic mathematical model of avascular tumor growth patterns and its treatment by means of noises

机译:血管肿瘤生长规律的随机数学模型及其噪声处理

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摘要

Due to the rate increase in cancer incidence, many researchers in different fields have been conducting studies on cancer-related phenomena. Most studies are conducted to focus on cellular and molecular aspects of cancerous diseases and treatment strategies. Physicists have been using mathematical modeling and simulation to explain the growth pattern of tumors. Although most published studies in this area still have not gained the needed maturity for “treating cancer”, research has helped with the statistical laws of growth, predation and proliferation of cancer cells. In this review, a brief explanation of mathematical models for tumor growth is presented, followed by a discussion on treatment simulations, introducing white noise as one of the clinical remedies in the original model.
机译:由于癌症发病率的增加,许多不同领域的研究人员一直在进行与癌症有关的现象的研究。进行大多数研究的重点是癌性疾病的细胞和分子方面以及治疗策略。物理学家一直在使用数学建模和模拟来解释肿瘤的生长方式。尽管该领域大多数已发表的研究仍未达到“治疗癌症”所需的成熟度,但研究有助于癌细胞生长,捕食和增殖的统计规律。在这篇综述中,对肿瘤生长的数学模型进行了简短的解释,随后对治疗模拟进行了讨论,将白噪声作为原始模型中的一种临床疗法。

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