Recent progress in modelling and simulation of three-dimensional tumor growth and treatment

This paper illustrates how to apply methods of systems analysis, control theory and simulation to the field of biology and medicine. For this purpose normal and abnormal cell growth has been modelled at different levels. It was possible to simulate three-dimensional tumor growth and different kinds of treatment. The paper shows how tumor treatment may be optimized in the long run using computer simulation experiments as a powerful new tool prior to clinical therapy.     

When cytoprotective autophagy isn’t… and even when it is

Multiple papers have been published that have identified and/or characterized the cytoprotective function of autophagy, primarily in tumor cells exposed to chemotherapy or radiation. These studies have relied on pharmacological and/or genetic interference with autophagy to establish its protective function, often primarily by demonstrating that cells in which autophagy has been suppressed undergo increased apoptosis. The purpose of this Editor’s Corner is to emphasize that these approaches, while absolutely necessary, are of themselves insufficient to support the conclusion that autophagy is cytoprotective in a given experimental tumor line exposed to a particular agent; complementary studies are required that demonstrate that autophagy inhibition sensitizes the tumor cell to the autophagy-inducing treatment. Otherwise, autophagy may be responsible for the growth arrest and/or cell death that is observed with the drug or radiation treatment alone, and autophagy inhibition may simply be converting one form of growth inhibition/cell death to an alternative pathway that achieves the same end result in terms of sensitivity to the treatment.     

Multi-scale agent-based brain cancer modeling and prediction of TKI treatment response: Incorporating EGFR signaling pathway and angiogenesis

ABSTRACT: BACKGROUND: The epidermal growth factor receptor (EGFR) signaling pathway and angiogenesis in brain cancer act as an engine for tumor initiation, expansion and response to therapy. Since the existing literature does not have any models that investigate the impact of both angiogenesis and molecular signaling pathways on treatment, we propose a novel multi-scale, agent-based computational model that includes both angiogenesis and EGFR modules to study the response of brain cancer under tyrosine kinase inhibitors (TKIs) treatment. RESULTS: The novel angiogenesis module integrated into the agent-based tumor model is based on a set of reaction--diffusion equations that describe the spatio-temporal evolution of the distributions of micro-environmental factors such as glucose, oxygen, TGFalpha, VEGF and fibronectin. These molecular species regulate tumor growth during angiogenesis. Each tumor cell is equipped with an EGFR signaling pathway linked to a cell-cycle pathway to determine its phenotype. EGFR TKIs are delivered through the blood vessels of tumor microvasculature and the response to treatment is studied. CONCLUSIONS: Our simulations demonstrated that entire tumor growth profile is a collective behaviour of cells regulated by the EGFR signaling pathway and the cell cycle. We also found that angiogenesis has a dual effect under TKI treatment: on one hand, through neo-vasculature TKIs are delivered to decrease tumor invasion; on the other hand, the neo-vasculature can transport glucose and oxygen to tumor cells to maintain their metabolism, which results in an increase of cell survival rate in the late simulation stages.     

When cytoprotective autophagy isn’t… and even when it is

Multiple papers have been published that have identified and/or characterized the cytoprotective function of autophagy, primarily in tumor cells exposed to chemotherapy or radiation. These studies have relied on pharmacological and/or genetic interference with autophagy to establish its protective function, often primarily by demonstrating that cells in which autophagy has been suppressed undergo increased apoptosis. The purpose of this Editor’s Corner is to emphasize that these approaches, while absolutely necessary, are of themselves insufficient to support the conclusion that autophagy is cytoprotective in a given experimental tumor line exposed to a particular agent; complementary studies are required that demonstrate that autophagy inhibition sensitizes the tumor cell to the autophagy-inducing treatment. Otherwise, autophagy may be responsible for the growth arrest and/or cell death that is observed with the drug or radiation treatment alone, and autophagy inhibition may simply be converting one form of growth inhibition/cell death to an alternative pathway that achieves the same end result in terms of sensitivity to the treatment.     

Numerical simulation and graphical analysis of in vitro benign tumor growth: application of single-particle state bosonic matter equation with length scaling

We describe the application of a non-linear single-particle state bosonic condensate equation to simulate multicellular tumor growth by treating it as a coupling of two classical wave equations with real components. With one component representing the amplitude of the cells in their volume growth phase and the other representing the amplitude of the cells in their proliferation or mitosis phase, the two components of the coupled equation feed each other during the time evolution and are coupled together through diffusion and other linear and non-linear terms. The features of quiescent and necrotic cells, which result from poor nutrient diffusion into a tumor, have been found to correspond quite well to experimental data when they are modeled as depending on higher cell density. Classical hallmarks of benign tumor growth, such as the initial rapid growth, followed by a dramatic collapse in the proliferating cell count and a strong re-growth thereafter appear quite encouragingly in the theoretical results. A tool for graphical analysis of the tumor simulation results has been developed to provide morphological information about tumors at various growth stages. The model and the graphical analysis can be extended further to create an effective tool to predict/monitor tumor growth. 1 Screen shot from the graphical analysis tool showing simulation results after ten days: clustering of cells of the tumor (up); cell density profile (down) Dedicated to Professor Dr. Paul von Ragué Schleyer on the occasion of his 75th birthday     

DNA methyltransferase inhibition may limit cancer cell growth by disrupting ribosome biogenesis

“Mutations” in the pattern of CpG methylation imprinting of the human genome have been correlated with a number of diseases including cancer. In particular, aberrant imprinting of tumor suppressor genes by gain of CpG methylation has been observed in many cancers and thus represents an important alternative pathway to gene “mutation” and tumor progression. Inhibitors of DNA methylation display therapeutic effects in the treatment of certain cancers, and it has been assumed these effects are due to the reversal of “mutant” gene imprinting. However, significant reactivation of imprinted tumor suppressor genes is rarely observed in vivo following treatment with DNA methylation inhibitors. A recent study revealed an unexpected requirement for CpG methylation in the synthesis and assembly of the ribosome, an essential function for cell growth and proliferation. As such, the data provide an unforeseen explanation of the action of DNA methylation inhibitors in restricting cancer cell growth.     

Modeling and computer simulations of tumor growth and tumor response to radiotherapy

A model of tumor growth and tumor response to radiation is introduced in which each tumor cell is taken into account individually. Each cell is assigned a set of radiobiological parameters, and the status of each cell is checked in discrete intervals. Tumor proliferation is governed by the cell cycle times of tumor cells, the growth fraction, the apoptotic capacity of the tumor, and the degree of tumor angiogenesis. The response of tumor cells to radiation is determined by the radiosensitivities and the oxygenation status. Computer simulation is performed on a 3D rigid cubic lattice, starting out from a single tumor cell. Random processes are simulated by Monte Carlo methods. Short cell cycle time, high growth fraction, and tumor angiogenesis all increase tumor proliferation rates. Accelerated time-dose patterns result in lower total doses needed for tumor control, but the extent of dose reduction depends on the kinetics and the radiosensitivities of tumor cells. Tumor angiogenesis alters fully oxygenated and hypoxic fractions within the tumor and subsequently affects the radiation response. It is demonstrated for selected radiobiological parameters that the simulation tools are suitable to quantitatively assess the total doses needed for tumor control. Using the simulation tools, it is feasible to simulate time-dependent effects during fractionated radiotherapy and to compare different time-dose patterns in terms of their tumor control.     

Simulating tumor growth in confined heterogeneous environments

The holy grail of computational tumor modeling is to develop a simulation tool that can be utilized in the clinic to predict neoplastic progression and propose individualized optimal treatment strategies. In order to develop such a predictive model, one must account for many of the complex processes involved in tumor growth. One interaction that has not been incorporated into computational models of neoplastic progression is the impact that organ-imposed physical confinement and heterogeneity have on tumor growth. For this reason, we have taken a cellular automaton algorithm that was originally designed to simulate spherically symmetric tumor growth and generalized the algorithm to incorporate the effects of tissue shape and structure. We show that models that do not account for organ/tissue geometry and topology lead to false conclusions about tumor spread, shape and size. The impact that confinement has on tumor growth is more pronounced when a neoplasm is growing close to, versus far from, the confining boundary. Thus, any clinical simulation tool of cancer progression must not only consider the shape and structure of the organ in which a tumor is growing, but must also consider the location of the tumor within the organ if it is to accurately predict neoplastic growth dynamics.     

Repression of malignant tumor progression upon pharmacologic IGF1R blockade in a mouse model of insulinoma

NVP-AEW541, a specific ATP-competitive inhibitor of the insulin-like growth factor-1 receptor (IGF1R) tyrosine kinase, has been reported to interfere with tumor growth in various tumor transplantation models. We have assessed the efficacy of NVP-AEW541 in repressing tumor growth and tumor progression in the Rip1Tag2 transgenic mouse model of pancreatic β-cell carcinogenesis. In addition, we have tested NVP-AEW541 in Rip1Tag2;RipIGF1R double-transgenic mice which show accelerated tumor growth and increased tumor malignancy compared with Rip1Tag2 single-transgenic mice. Previously, we have shown that high levels of IGF-2, a high-affinity ligand for IGF1R, are required for Rip1Tag2 tumor cell survival and tumor growth. Unexpectedly, treatment of Rip1Tag2 mice with NVP-AEW541 in prevention and intervention trials neither did affect tumor growth nor tumor cell proliferation and apoptosis. Yet, it significantly repressed progression to tumor malignancy, that is, the rate of the transition from differentiated adenoma to invasive carcinoma. Treatment of Rip1Tag2;RipIGF1R double-transgenic mice resulted in moderately reduced tumor volumes and increased rates of tumor cell apoptosis. Sustained expression of IGF-2 and of the IGF-2-binding form of insulin receptor (IR-A) in tumor cells suggests a compensatory role of IR-A upon IGF1R blockade. The results indicate that inhibition of IGF1R alone is not sufficient to efficiently block insulinoma growth and imply an overlapping role of IGF1R and insulin receptor in executing mitogenic and survival stimuli elicited by IGF-2. The reduction of tumor invasion upon IGF1R blockade on the other hand indicates a critical function of IGF1R signaling for the acquisition of a malignant phenotype.     

Growth laws in cancer: implications for radiotherapy

Comparing the conventional Gompertz tumor growth law (GL) with the "Universal" law (UL), which has recently been proposed and applied to cancer, we have investigated the implications of the growth laws for various radiotherapy regimens. According to the GL, the surviving tumor cell fraction could be reduced ad libitum, independent of the initial tumor mass, simply by increasing the number of treatments. In contrast, if tumor growth dynamics follows the Universal scaling law, there is a lower limit of the surviving fraction that cannot be reduced further regardless of the total number of treatments. This finding can explain the so-called tumor size effect and re-emphasizes the importance of early diagnosis because it implies that radiotherapy may be successful provided that the tumor mass at treatment onset is rather small. Taken together with our previous work, the implications of these findings include revisiting standard radiotherapy regimens and treatment protocols overall.     

Synthetic retinoids as inducers of apoptosis in ovarian carcinoma cell lines

Apoptosis is also known as programmed cell death. Apoptosis plays an essential role in maintaining normal tissue and cell physiology in multicellular organisms. Clearance of aberrant or pre-cancerous cells occurs through the induction of apoptosis. It has been reported that many tumors and tumor cell lines have dysfunctional apoptosis signaling, causing these tumors to escape immune monitoring and internal cellular control mechanisms. One potential cause of this dysfunctional apoptosis is the tumor suppressor p53, an important regulator of growth arrest and apoptosis that is mutated in over 50% of all cancers. Retinoids have great potential in the areas of cancer therapy and chemoprevention. While some tumor cells are sensitive to the growth inhibitory effects of natural retinoids such as all-trans-retinoic acid (ATRA), many ovarian tumor cells are not. 6-[3-(1-Admantyl)]-4-hydroxyphenyl]-2-naphthalene carboxylic acid (CD437) and fenretinide N-[4-hydroxyphenyl] retinamide (4-HPR) are conformationally restricted synthetic retinoids that induce growth arrest and apoptosis in both ATRA-sensitive and ATRA-resistant ovarian tumor cell lines. Recently, we have identified the molecular pathways of apoptosis induced by treatment of ovarian carcinoma cells with mutated p53 by CD437 and 4-HPR.     

肿瘤治疗过程中凋亡与自噬的关系

凋亡和自噬是参与维持机体正常的生理平衡和内环境稳定重要机制,与正常生长发育以及肿瘤等多种疾病发展过程都有着密切的联系。对于肿瘤的治疗,传统的方法是诱导肿瘤细胞凋亡,然而,肿瘤细胞中凋亡抗性的出现成为肿瘤治疗的主要障碍。近来,通过诱导其它细胞死亡方式致肿瘤细胞死亡已经成为有潜力的新的抗肿瘤机制。自噬作为另外一种细胞程序性死亡方式与凋亡一样有着复杂的分子机制和调控机制,它们之间存在密切的联系,并且存在许多相同的调节蛋白。本文就凋亡和自噬在形态特征、分子机制、检测方法以及在肿瘤治疗过程两者之间的关系做一综述。     

Specific modifications of hepatoma cell-surface glycoproteins with enzymes : Effects on in vitro growth as investigated by the use of lectins

The effects of enzymic treatment on the interactions between Zajdela's tumor cells and various lectins. Concanavalin A (ConA); Wheat Germ Agglutinin (WGA); Robinia lectin; have been studied. (1) The number of lectin-binding sites and the affinity constants were investigated. (2) The effects of the lectins on cell growth and [3H]thymidine incorporation were studied on untreated and enzyme-treated cells. It was observed that treatment of tumor cells with neuraminidase resulted in a change in the binding characteristics of each lectin. However, additional treatment of the cells with galactose oxidase had no further effect on lectin binding. ConA and Robinia lectin induced a decrease of the untreated tumor cell growth and a stimulation of the [3H]thymidine incorporation. This paradoxal result may be explained as a consequence of the stimulation of the [3H]thymidine uptake observed in the presence of lectins. The enzymatic treatments themselves did not change the cell growth although they did induce a change in the effect of ConA and Robinia lectin on cell growth and [3H]thymidine incorporation. As a result of neuraminidase treatment, the effects of ConA were totally suppressed but those of Robinia lectin only partially. Although WGA interacted with untreated and enzyme-treated cell surfaces, it had no effect on tumor cell growth nor [3H]thymidine incorporation. The results are discussed in terms of lectin transport.     

CSPG4, a potential therapeutic target, facilitates malignant progression of melanoma

Chondroitin sulfate proteoglycan 4 (CSPG4), a transmembrane proteoglycan originally identified as a highly immunogenic tumor antigen on the surface of melanoma cells, is associated with melanoma tumor formation and poor prognosis in certain melanomas and several other tumor types. The complex mechanisms by which CSPG4 affects melanoma progression have started to be defined, in particular the association with other cell surface proteins and receptor tyrosine kinases (RTKs) and its central role in modulating the function of these proteins. CSPG4 is essential to the growth of melanoma tumors through its modulation of integrin function and enhanced growth factor receptor-regulated pathways including sustained activation of ERK 1,2. This activation of integrin, RTK, and ERK1,2 function by CSPG4 modulates numerous aspects of tumor progression. CSPG4 expression has further been correlated to resistance of melanoma to conventional chemotherapeutics. This review outlines recent advances in our understanding of CSPG4-associated cell signaling, describing the central role it plays in melanoma tumor cell growth, motility, and survival, and explores how modifying CSPG4 function and protein-protein interactions may provide us with novel combinatorial therapies for the treatment of advanced melanoma.     

Immune-deficient animals to study "hormone-dependent" breast and endometrial cancer

Athymic (nu/nu) mice are T cell deficient and can accept xenografts of human tumor material. Hormone-dependent tumor growth can be demonstrated in ovariectomized athymic mice by estrogen administration. Estrogen receptor (ER) positive MCF-7 breast cancer cells implanted into the axillary mammary fat do not grow into palpable tumors unless sustained release preparations of estrogen are administered. The non-steroidal antiestrogen tamoxifen, though it exhibits estrogenic properties in the mouse, does not facilitate MCF-7 tumor growth (during short term, i.e. 8 weeks of therapy) and can prevent estradiol-stimulated growth. In contrast, ER negative MDA-MB-231 cells grow with or without estrogen administration and tamoxifen does not control tumor growth. These statements reflect current dogma concerning the value of athymic mice to confirm the hormone dependent growth of cancer cells in vivo. Our aim has been to define the limits of this dogma and to investigate the growth relationship of hormone-dependent and independent cells with their host environment. The potential endocrine or paracine effect of ER negative tumors on the growth of ER positive tumors was evaluated by transplantation on opposite sides of athymic mice or by the inoculation of different ratios of ER positive/negative cells (MCF-7:MDA-MB-231 9:1, 99:1, 999:1). MCF-7 cells could not be encouraged to grow by a rapidly growing MDA-MB-231 tumor on the opposite side of the animal. Similarly ER negative tumors grew out of the mixed tumor inoculates suggesting that ER positive tumors could not be encouraged to grow preferentially by the paracrine influences of ER negative cells. However, estrogen facilitates the growth of an ER positive tumor following inoculation of mixed cell populations. Antiestrogen treatment can blunt estrogen-stimulated growth but cannot control the growth of ER positive/negative containing tumors. ER positive endometrial tumors grow in response to estrogen treatment and some (EnCa101) have been shown to grow in response to tamoxifen or a combination of tamoxifen and estrogen. More unusual though is our recent observation that an ER negative primary endometrial tumor (BR) and its metastasis (BR-MET) grow more rapidly in estrogen-treated athymic mice. This finding seems to have far-ranging consequences for our view of hormone-dependent growth. Either our view of estrogen-stimulated growth needs to be modified or the host is specifically altered during estrogen treatment. We have taken the position that since natural killer cells (present in athymic mice) can be lowered by estrogen this may result in an increased tumor cell survival in the heterotransplant model.(ABSTRACT TRUNCATED AT 400 WORDS)     

Mathematical Modeling of Interleukin-35 Promoting Tumor Growth and Angiogenesis

Interleukin-35 (IL-35), a cytokine from the Interleukin-12 cytokine family, has been considered as an anti-inflammatory cytokine which promotes tumor progression and tumor immune evasion. It has also been demonstrated that IL-35 is secreted by regulatory T cells. Recent mouse experiments have shown that IL-35 produced by cancer cells promotes tumor growth via enhancing myeloid cell accumulation and angiogenesis, and reducing the infiltration of activated CD8 T cells into tumor microenvironment. In the present paper we develop a mathematical model based on these experimental results. We include in the model an anti-IL-35 drug as treatment. The extended model (with drug) is used to design protocols of anti-IL-35 injections for treatment of cancer. We find that with a fixed total amount of drug, continuous injection has better efficacy than intermittent injections in reducing the tumor load while the treatment is ongoing. We also find that the percentage of tumor reduction under anti-IL-35 treatment improves when the production of IL-35 by cancer is increased.     

Functional mechanism of Ginsenosides on tumor growth and metastasis

Ginsengs, has long been used as one medicinal herb in China for more than two thousand years. Many studies have shown that ginsengs have preventive and therapeutic roles for cancer, and play a good complementary role in cancer treatment. Ginsenosides, as most important constituents of ginseng, have been extensively investigated and emphasized in cancer chemoprevention and therapeutics. However, the functional mechanism of Ginsenosides on cancer is not well known. This review will focus on introducing the functional mechanisms of ginsenosides and their metabolites, which regulate signaling pathways related with tumor growth and metastasis. Ginsenosides inhibit tumor growth via upregulating tumor apoptosis, inducing tumor cell differentiation and targeting cancer stem cells. In addition, Ginsenosides regulate tumor microenvironment via suppressing tumor angiogenesis-related proteins and pathways. Structural modification of ginsenosides and their administration alone or combinations with other Chinese medicines or chemical medicines have recently been developed to be a new therapeutic strategy for cancer.     

Growth of the androgen-dependent tumor of the prostate: Role of androgens and of locally expressed growth modulatory factors

The crucial role played by androgens in the growth of prostatic carcinoma is now well established. However, the mechanisms of this proliferative action are still poorly understood. Experiments have been performed to clarify: (1) the metabolism of androgens in prostatic tumor cells; and (2) the role played by locally produced growth factors in the autocrine regulation of prostatic tumor cell proliferation and the possible regulation exerted by testosterone (T) on the activity of these factors. These studies have been performed by utilizing the human androgen-responsive prostatic cancer LNCaP cell line. (1) By incubating LNCaP cells with different ¹⁴C-labeled androgenic precursors, it has been shown that all the major key enzymes involved in the metabolism of androgens (5-reductase, 17β-hydroxysteroid-oxidoreductase, 3- and 3β-hydroxysteroid-oxidoreductases) are present and active in these cells. In particular, the 5-reductase, which converts T and Δ₄ to DHT and 5-A respectively, seems to be more active when Δ₄ is the substrate, suggesting a preference for this precursor. (2) The hypothesis that LNCaP cells might produce LHRH (or a LHRH-like peptide) has been verified by RT-PCR, performed in the presence of a pair of specific oligonucleotide primers. A cDNA band of the expected size (228 bp), which specifically hybridized with a ³²P-labeled LHRH oligonucleotide probe, has been obtained in LNCaP cells. To clarify the possible role played by this factor in the regulation of tumor growth, LNCaP cells, cultured in steroid-free conditions, have been treated with a LHRH antagonist; the treatment resulted in a significant increase of cell proliferation. Taken together, these data indicate that a LHRH (or LHRH-like) growth modulatory system is expressed in LNCaP cells and plays an inhibitory role in the regulation of tumor cell proliferation. This system seems to be regulated in a negative way by steroids. Growth factors endowed with stimulatory activity, such as EGF and TGF, have also been shown to be produced by LNCaP cells. The present studies show that the immunoprecipitation of the EGF receptor with a specific monoclonal antibody (Ab225) reveals a protein band of the expected size (170 kDa) which is phosphorylated even in basal conditions. Moreover, the treatment of LNCaP cells, cultured in serum-free conditions, either with a monoclonal antibody against the EGF receptor, or with immunoneutralizing antibodies against EGF and TGF, results in a significant decrease of cell proliferation. These observations clearly confirm the expression, in prostatic tumor cells, of an EGF/TGF loop which exerts a stimulatory action on cell proliferation. T seems to exert a positive regulation on this loop, at least in terms of EGF receptor concentration.