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Applied Mathematics 2017年第5期8卷 746-773页

作者： Jens Christian Larsen Vanlø se alle 50 2. mf. tv 2720 Vanl&oslash se Copenhagen Denmark

Multipeutics is the simultaneous application of m ≥ 4 cancer treatments. m = 4 is quadrapeutics, which was invented by researchers at Rice University, Northeastern University, MD Anderson Cancer Centre and China Medical University, see [1]. Multipeutics is our idea. From section 6 Summary, it follows that multipeutics can be more potent than quadrapeutics by comparing these two mathematical models. The first two treatments in quadrapeutics are systemically administered nano gold particles G and lysosomal chemo therapeutic drug D. They form mixed clusters M primarily in cancer cells and can be excited by a laser pulse, the third treatment, to form plasmonic nanobubbles N. These nanobubbles can kill the cancer cells by mechanical impact. If they do not the chemo therapeutic drug can be released into the cytoplasm, which might be lethal to the cancer cell. The fourth treatment is x rays X and the cancer cells have been sensitized to x rays by the treatment. We present an ODE (ordinary differential equations) model of quadrapeutics and of multipeutics, which is quadrapeutics and n ≥ 1 immune or chemo therapies. In the present paper we have found a polynomial p of degree at most 2.n + 3), such that a singular point (C, D, G, M, N, I1, …, In) will have p(M) = 0 Here I1, …, In are immune or chemo therapies. So this gives us candidates for singular points. Quadrapeutics is treated extensively. We find in theorem 3 a polynomium s of degree at most six in M such that a positive singular point (C, D, G, M, N) of the quadrapeutics system will have s(M) = 0. The main theorem of the present paper is the multipeutics theorem, saying that the more treatments we apply the lower the cancer burden, even if we take the doses of each treatment smaller. From the proof of this theorem, we can say, that quadrapeutics can outperform chemo radiation if the nanobubble kill rate k2. is sufficiently big. see also Figure 1 and Figure 2.and the text explaining them.

关键词： Cancer Mass Action Kinetic System Quadrapeutics Immune Therapy

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Models of Cancer Growth Revisited

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Applied Mathematics 2018年第4期9卷 418-447页

作者： Jens Christian Larsen Vanlø se alle 50 2. mf. tv 2720 Vanl&oslash se Copenhagen Denmark

In the present paper we study models of cancer growth, initiated in Jens Chr. Larsen: Models of cancer growth [1]. We consider a cancer model in variables C cancer cells, growth factors GFi?,i= 1,,p, (oncogene, tumor suppressor gene or carcinogen) and growth inhibitor GFi?,i= 1,,p, (cells of the immune system or chemo or immune therapy). For q =1 this says, that cancer grows if (1) below holds and is eliminated if the reverse inequality holds. We shall prove formulas analogous to (1) below for arbitrary p, q∈N, p ≥ q . In the present paper, we propose to apply personalized treatment using the simple model presented in the introduction.

关键词： Cancer Mass Action Kinetic System Immunity

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CD56+免疫表型的蕈样肉芽肿

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世界核心医学期刊文摘（皮肤病学分册） 2005年第10期1卷 12-12页

作者： Wain E.M Orchard G.E Mayou S 刘安 St John's Institute of Dermatology St. Thomas'Hospital Lambeth Palace Rd London SE17EH United Kingdom

We report 3 cases of mycosis fungoides (mf. with a CD56+cytotoxic immunophenotype. Each patient presented with a different clinical phenotype:one exhibited limited poikilodermatous patches (skin stage T1); one, widespread hypopigmented lesions (skin stage T2.; and one, poikiloderma with a single cutaneous tumor (skin stage T3). mf.was confirmed both histologically and by the presence of a T cell receptor clone in lesional skin in all cases. CD56 and T cell intracellular antigen-1 were expressed by the malignant lymphocytes in all patients and two expressed CD8. No sample demonstrated loss of the pan T-cell markers CD2.or CD3. None of the 3 developed systemic disease and T-cell receptor gene analysis of peripheral blood was polyclonal in all cases. Only 3 cases of CD56+mf.have been reported previously, none of which exhibited tumor-stage disease. Currently, the disease in our patients appears to be behaving in a manner similar to that predicted for mf.with a normal immunophenotype but the prognosis has to be guarded in view of the rarity of this subtype.

关键词：蕈样肉芽肿免疫表型色素减退恶性淋巴细胞细胞毒素细胞内免疫全身性疾病细胞标志物基因分析细胞受体

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60例蕈样肉芽肿和Sézary综合征患者淋巴结的分子学疾病分期:组织病理学与研究结果相关联提示与蕈样肉芽肿的预后有关

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世界核心医学期刊文摘（皮肤病学分册） 2006年第12期2卷 14-页

作者： Fraser-Andrews E.A. Mitchell T. Ferreira S. 周少娜 Skin Tumour Unit St. John's Institute of Dermatology St. Thomas'Hospital London SE1 7EH United Kingdom

Background: Histological evidence of lymph node involvement is associated with a poor prognosis in patients with cutaneous T-cell lymphoma (CTCL). Objectives: To determine whether T-cell receptor (TCR) gene analysis is of prognostic relevance in CTCL. Methods: TCR gene analysis was performed on lymph node specimens from 60 patients with mycosis fungoides (mf. and Sézary syndrome (SS) using a highly sensitive polymerase chain reaction (PCR)/single-strand conformational polymorphism analysis and results were correlated with skin, overall clinical and histological lymph node stages. Results: The frequency with which a T-cell clone was detected in lymph node samples from patients with mf.increased with skin stage, overall clinical stage and with the degree of histological involvement: six of 19 patients with uninvolved lymph nodes or limited histological involvement (LN0-2. and 13 of 14 patients with advanced histological involvement (LN3-4) had a detectable T-cell clone. In SS, 2. of 2. patients had a detectable lymph node T-cell clone. The clonal patients had a poorer prognosis than nonclonal patients (median survival from biopsy of > 72.months vs. 16 months for mf.and 41.5 vs. 16.5 months for SS). Regression analysis confirmed that TCR gene analysis identifies a group of mf.patients with a worse prognosis (P = 0.013). However, the molecular lymph node stage did not provide independent prognostic information in this cohort of patients in multivariate analysis. Conclusions: Molecular staging in mf.and SS using a PCR-based method for TCR gene analysis provides additional information to histological examination. Specifically, this study identified a group of mf.patients with early lymph node involvement with a poorer prognosis. However, a larger prospective study of patients with mf.and early histological lymph node involvement is required to confirm whether molecular staging of lymph nodes provides independent prognostic information in a multivariate model.

关键词：淋巴结淋巴组织分子学 zary 患者肉芽肿炎症疾病综合征综合病症预后

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