A brief introduction to cancer biology and treatment is presented with a focus on current clinical advances in the delivery of chemotherapy and antiangiogenic therapies. Mathematical oncology is then surveyed with summaries of various models of tumor growth, tumor angiogenesis and other relevant biological entities such as angiogenic growth factors. Both strictly time-dependent ordinary differential equation (ODE)-based and spatial partial differential equation (PDE)-based models are considered. These biological models are first developed into an ODE model where various treatment options can be compared including different combinations of drugs and dosage schedules. This model gives way to a PDE model that includes the spatially heterogeneous blood vessel distribution found in tumors, as well as angiogenic growth factor imbalances. This model is similarly analyzed and implications are summarized. Finally, including the effects of interstitial fluid pressure into an angiogenic activity model is performed. This model displays the importance of factor convection on the angiogenic behaviour of tumours.

A brief introduction to cancer biology and treatment is presented with a focus on current clinical advances in the delivery of chemotherapy and antiangiogenic therapies. Mathematical oncology is then surveyed with summaries of various models of tumor growth, tumor angiogenesis and other relevant biological entities such as angiogenic growth factors. Both strictly time-dependent ordinary differential equation (ODE)-based and spatial partial differential equation (PDE)-based models are considered. These biological models are first developed into an ODE model where various treatment options can be compared including different combinations of drugs and dosage schedules. This model gives way to a PDE model that includes the spatially heterogeneous blood vessel distribution found in tumors, as well as angiogenic growth factor imbalances. This model is similarly analyzed and implications are summarized. Finally, including the effects of interstitial fluid pressure into an angiogenic activity model is performed. This model displays the importance of factor convection on the angiogenic behaviour of tumours.

A manutenção do estado progenitor durante o cultivo de células mesenquimais progenitoras derivadas do tecido adiposo (MSCs-TA), caracterizado pelo potencial de diferenciação e da capacidade de autorrenovação, é atualmente um dos maiores desafios da terapia celular. Sabendo da influência da angiogênese no desenvolvimento de tecidos de origem mesenquimal, avaliamos se um ambiente pro-angiogênico mimetizado em cultura forneceria condições para manutenção de um estado progenitor durante o processo de expansão celular. Utilizando como modelo de um ambiente pró-angiogênico o cultivo no meio EGM-2, o qual é suplementado pelos fatores de crescimento EGF, FGF-2, IGF e VEGF, nós demonstramos que a presença de tais fatores pró-angiogênicos é fundamental para a manutenção do estado progenitor de MSCs-TA em cultura. Verificamos que a presença de tais fatores de crescimento possibilitaram às MSCs-TA apresentarem um alto potencial de diferenciação adipogênico e osteogênico em comparação ao meio convencional DMEM/F12 e ao meio EBM, ausente de fatores. Além disso, o cultivo na presença de fatores pró-angiogênicos aumentou o potencial clonogênico das MSCs-TA, ao mesmo tempo em que aumentou a capacidade proliferativa destas células. Dentre os fatores de crescimento, EGF e FGF-2 foram responsáveis pelos efeitos mais robustos. Ao mesmo tempo, células cultivadas nas presença destas citocinas foram capazes de manter a morfologia fibroblastóide e apresentaram alta expressão do fator de pluripotência Klf-4. Em concordância com estes achados, o transplante subcutâneo de MSCs-TA cultivadas nestas condições mostrou que aquelas mantidas em EGM-2 geram um tecido semelhante ao tecido formado pela fração estromal vascular não cultivada. Estes resultados reforçam o papel do ambiente pró-angiogênico na manutenção do estado progenitor de MSCs-TA, e que tal estado foi proporcionado pela ação dos fatores de crescimento pró-angiogênicos EGF, FGF-2, IGF e VEGF nas células em cultivo, com destaque para as citocinas EGF e FGF-2. Em conclusão, o uso do ambiente pró-angiogênico no cultivo de MSCs-TA mostrou-se como uma abordagem promissora para a manutenção do estado progenitor destas células in vitro. / The maintenance of the progenitor state in the culture of adipose tissue derived- mesenchymal progenitor cell (TA-MSCs), characterized by the differentiation potential and self-renewal capability, is currently one of the major challenges of cell therapy. The information that the angiogenesis influences the development of mesenchymal tissues, has led us to evaluate how a pro-angiogenic environment mimicked in culture would provide conditions for maintaining a progenitor state during the cell expansion process. We designe a model for a pro-angiogenic environment in which cells grown in EGM-2 supplemented with the following growth factors: EGF, FGF-2, IGF and VEGF, and demonstrated that the presence of such pro-angiogenic growth factors was crucial for maintenance of the progenitor of AT-MSCs in culture. We observed that the presence of such growth factors allowed to AT-MSCs a high potential of adipogenic and osteogenic differentiation compared to conventional DMEM/F12 medium and the EBM medium, in the absence of the factors. Furthermore, the culture in presence of pro-angiogenic growth factors increased the clonogenic potential of AT-MSCs and increased the proliferative capability of these cells. Among the growth factors, EGF and FGF-2 were responsible for most robust effects. At the same time, cells cultured in the presence of these cytokines were able to maintaining the fibroblastoid morphology and presented high expression levels of Klf-4 pluripotency factor. In agreement with these observations, the subcutaneous transplantation of AT-MSCs cultured under these conditions showed that those cells kept in EGM-2 generated a tissue-like to tissue formed by the stromal vascular fraction uncultivated. These results reinforce the role of the pro-angiogenic environment in the maintenance of the progenitor state of AT-MSCs, and that such a state was provided by the action of the pro-angiogenic growth factors EGF, FGF-2, IGF and VEGF in cultured cells, highlighting EGF and FGF-2 cytokines. In conclusion, we showed that the use of a pro-angiogenic environment in AT-MSCs culture is a promising approach to the maintain the progenitor state of these cells in vitro.

A manutenção do estado progenitor durante o cultivo de células mesenquimais progenitoras derivadas do tecido adiposo (MSCs-TA), caracterizado pelo potencial de diferenciação e da capacidade de autorrenovação, é atualmente um dos maiores desafios da terapia celular. Sabendo da influência da angiogênese no desenvolvimento de tecidos de origem mesenquimal, avaliamos se um ambiente pro-angiogênico mimetizado em cultura forneceria condições para manutenção de um estado progenitor durante o processo de expansão celular. Utilizando como modelo de um ambiente pró-angiogênico o cultivo no meio EGM-2, o qual é suplementado pelos fatores de crescimento EGF, FGF-2, IGF e VEGF, nós demonstramos que a presença de tais fatores pró-angiogênicos é fundamental para a manutenção do estado progenitor de MSCs-TA em cultura. Verificamos que a presença de tais fatores de crescimento possibilitaram às MSCs-TA apresentarem um alto potencial de diferenciação adipogênico e osteogênico em comparação ao meio convencional DMEM/F12 e ao meio EBM, ausente de fatores. Além disso, o cultivo na presença de fatores pró-angiogênicos aumentou o potencial clonogênico das MSCs-TA, ao mesmo tempo em que aumentou a capacidade proliferativa destas células. Dentre os fatores de crescimento, EGF e FGF-2 foram responsáveis pelos efeitos mais robustos. Ao mesmo tempo, células cultivadas nas presença destas citocinas foram capazes de manter a morfologia fibroblastóide e apresentaram alta expressão do fator de pluripotência Klf-4. Em concordância com estes achados, o transplante subcutâneo de MSCs-TA cultivadas nestas condições mostrou que aquelas mantidas em EGM-2 geram um tecido semelhante ao tecido formado pela fração estromal vascular não cultivada. Estes resultados reforçam o papel do ambiente pró-angiogênico na manutenção do estado progenitor de MSCs-TA, e que tal estado foi proporcionado pela ação dos fatores de crescimento pró-angiogênicos EGF, FGF-2, IGF e VEGF nas células em cultivo, com destaque para as citocinas EGF e FGF-2. Em conclusão, o uso do ambiente pró-angiogênico no cultivo de MSCs-TA mostrou-se como uma abordagem promissora para a manutenção do estado progenitor destas células in vitro. / The maintenance of the progenitor state in the culture of adipose tissue derived- mesenchymal progenitor cell (TA-MSCs), characterized by the differentiation potential and self-renewal capability, is currently one of the major challenges of cell therapy. The information that the angiogenesis influences the development of mesenchymal tissues, has led us to evaluate how a pro-angiogenic environment mimicked in culture would provide conditions for maintaining a progenitor state during the cell expansion process. We designe a model for a pro-angiogenic environment in which cells grown in EGM-2 supplemented with the following growth factors: EGF, FGF-2, IGF and VEGF, and demonstrated that the presence of such pro-angiogenic growth factors was crucial for maintenance of the progenitor of AT-MSCs in culture. We observed that the presence of such growth factors allowed to AT-MSCs a high potential of adipogenic and osteogenic differentiation compared to conventional DMEM/F12 medium and the EBM medium, in the absence of the factors. Furthermore, the culture in presence of pro-angiogenic growth factors increased the clonogenic potential of AT-MSCs and increased the proliferative capability of these cells. Among the growth factors, EGF and FGF-2 were responsible for most robust effects. At the same time, cells cultured in the presence of these cytokines were able to maintaining the fibroblastoid morphology and presented high expression levels of Klf-4 pluripotency factor. In agreement with these observations, the subcutaneous transplantation of AT-MSCs cultured under these conditions showed that those cells kept in EGM-2 generated a tissue-like to tissue formed by the stromal vascular fraction uncultivated. These results reinforce the role of the pro-angiogenic environment in the maintenance of the progenitor state of AT-MSCs, and that such a state was provided by the action of the pro-angiogenic growth factors EGF, FGF-2, IGF and VEGF in cultured cells, highlighting EGF and FGF-2 cytokines. In conclusion, we showed that the use of a pro-angiogenic environment in AT-MSCs culture is a promising approach to the maintain the progenitor state of these cells in vitro.

La circulation collatérale non coronarienne (CCNC) perfuse le cœur en provenant d’artères bronchiques, médiastinales et péricardiques. L’éventualité que la CCNC puisse être artificiellement augmentée pour fournir un traitement alternatif pour les patients ischémiques représente une hypothèse intrigante sans réponse en raison de la nature difficile de ce champ de recherche. En se basant sur plusieurs aspects, tel que (1) l’existence des collatérales naturelles entre les artères coronaires et les artères thoraciques internes (ATIs), (2) les effets potentiels de la ligature des ATIs; (3) la capacité des ATIs de développer d’importantes branches collatérales ; (4) et la disponibilité actuelle des facteurs de croissance vasculaire, l’hypothèse ici décrite est que l’augmentation de la CCNC pourrait représenter une stratégie alternative d’apport sanguin au coeur.Ainsi, l’association d’occlusion des ATIs et de l’administration des facteurs de croissance pourrait représenter un moyen de poursuivre cet objectif. Pour le premier travail de recherche, nous avons établi un modèle canin. / Noncoronary collateral circulation (NCCC) comes to the heart from mediastinal, bronchial, and pericardial channels. Whether NCCC can somehow be augmented to provide an alternative therapy for ischemic patients is an intriguing hypothesis with no clear answer yet due to the challenging nature of this research field. Based on several aspects, such as (1) the occurrence of natural collaterals between coronary and the internal thoracic arteries (ITAs), (2) the potentialhemodynamic effects of ITAs ligation, (3) the potential of ITAs for developing important collateral branches, and (4) the current availability of angiogenic growth factors, the hypothesis herein is that enhancement of NCCC may represent an alternative myocardial blood supply strategy, and that combining ITAs occlusion with angiogenic growth factors may represent a way to achieve this objective. We established an ischemic canine model for first experiment.