Spinal cord injury (SCI) is complicated injury with serious socioeconomic consequences for the patient and his whole family. Big difficulty cause also extremely high living expenses for the patient with this type of injury. That's why there is a need for therapeutic methods which would help patients after SCI to recover the lost functions and be able at least partially to return to their normal life. Different therapeutic methods are being used for SCI treatment. In this study we used four various types of stem cells: human bone marrow stem cells (hBM-MSCs), human umbilical cord mesenchymal stem cells (hUC-MSCs), neural precursors derived from induced pluripotent stem cells (iPS-NPs) and neural stem cell line derived from human fetal spinal cord tissue (SPC-01). These cells have been transplanted intrathecally or intraspinally 7 days after induction of the experimental model of SCI in the rat. We studied expressions of genes related to neurogenesis, growth factors and inflammation 10 and 28 days after SCI. Our analysis showed significant changes in gene expression 10 days after SCI. Significant up-regulation in expression of vascular endothelial growth factor (Vegf), ciliary neurotrophic factor (Cntf) and interferon regulatory factor 5 (Irf5) were found after transplantation of hBM-MSCs and hUC-...

Both platelet-rich plasma (PRP) and vascular endothelial growth factor (VEGF) can promote regeneration. The aim of this study was to compare the effects of these two elements on bone formation and vascularization in combination with bone marrow stromal cells (BMSC) in a critical-size bone defect in rabbits. The critical-size defects of the radius were filled with: (1) a calcium-deficient hydroxyapatite (CDHA) scaffold + phVEGF165-transfected BMSC (VEGF group), (2) CDHA and PRP, or (3) CDHA, autogenous BMSC, and PRP. As controls served: (4) the CDHA scaffold alone and (5) the CDHA scaffold and autogenous BMSC. The volume of new bone was measured by means of micro-CT scans, and vascularization was assessed in histology after 16 weeks. Bone formation was higher in the PRP + CDHA, BMSC + CDHA, and PRP + BMSC + CDHA groups than in the VEGF group (p < 0.05). VEGF transfection significantly promoted vascularization of the scaffolds in contrast to BMSC and PRP (p < 0.05), but was similar to the result of the CDHA + PRP + BMSC group. The results show that VEGF-transfected BMSC as well as the combination of PRP and BMSC improve vascularization, but bone healing was better with the combination of BMSC and PRP than with VEGF-transfected BMSC. Expression of VEGF in BMSC as a single growth factor does not seem to be as effective for bone formation as expanded BMSC alone or PRP which contains a mixture of growth factors. / Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.

Flocktechnologie ist eine im Bereich der Textiltechnik angewandte Methode, bei der kurze Fasern nahezu senkrecht auf ein vorher mit Klebstoff beschichtetes Substrat aufgebracht werden. In der vorliegenden Arbeit wurde die elektrostatische Beflockung als Methode zur Herstellung von porösen, dreidimensionalen Scaffolds für das Tissue Engineering von Knorpel und Knochen etabliert. Dieser neuartige Scaffoldtyp wurde eingehend charakterisiert und in Zellversuchen im Hinblick auf seine Biokompatibilität untersucht. Dabei zeigte sich, dass verschiedene Zellen im Scaffold proliferieren und differenzieren können. Die in der Arbeit beschriebenen Flockscaffolds stellen somit eine vielversprechende Matrix für die Therapie von Gelenkknorpeldefekten dar.

In drei inhaltlich abgeschlossen Teilen werden Fragestellungen bearbeitet, die sich mit dem Einsatz von Polyhydroxybutyraten als Scaffoldmaterialien für das Tissue Engioneering von Knochen beschäftigen. Zunächst wird ein Prozess optimiert, in dem mittels Verpressen und Auslösen von Platzhaltern (Porogen) poröse Träger (Scaffolds) aus Poly-3-hydroxybuttersäure (P3HB) sowie aus P3co4HB hergestellt werden. Diese Scaffolds werden in der Folge mechanisch und strukturell charakterisiert, wobei Druckfestigkeit, Dauerfestigkeit und Viskoelastizität untersucht werden. Im Ergebnis finden sich mehrere Kandidaten, die für die weitere Testung im Tierversuch in Frage kommen. Weiter wird das Abbauverhalten von schmelzgeponnenen P3HB-Fäden untersucht. Dabei wird ein beschleunigtes Modellsystem gewählt, das noch möglichst nahe am physiologischen Fall aber ohne biologisch aktive Komponente (zB. Enzyme) definiert wurde. Die Charakterisierung bedient sich hier der Gelpermeationschromatographie (GPC), des gasgestützten Elektronenrastermikroskops (ESEM), der differentiellen Thermoanalyse (DSC) und der Rasterkraftmikroskopie. Als Ergebnis zeichnete sich ab, dass neben der hydrolytischen Degradation im Gegensatz zu PHB mit kleinerer spezifischer Oberfläche bei den Fäden auch Erosion zum Abbau beiträgt. Eine partikuläre Freisetzung wird nicht beobachtet. Im dritten Teil werden textile Scaffolds aus P3HB mit einer künstlichen extrazellulären Matrix aus Chondroitinsulfaten (CS) und Kollagen versehen. Dem CS kann hier ein positiver Einfluss auf die osteogene Differenzierung von humanen mesenchymalen Stammzellen (hMSC) nachgewiesen werden. Dies wird zum einen durch die verstärkte Expression der alkalischen Phosphatase (ALP) sowie durch die Hochregulation von Proteinen ersichtlich, die bei der osteogenen Differenzierung essentiell sind. In wenigen Gene-Arrays lässt sich ebenfalls erkennen, dass die osteogene Differenzierung durch CS positiv beeinflusst wird. Insbesondere frühe Marker wie ZBTB16 und IGFBPs werden hier identifiziert. Basierend auf den Teilergebnissen wird am Ende ein Beitrag geliefert, der das Tissue Engineering insbesondere für überkritische Röhrenknochendefekte als Methode interessant erscheinen lässt. Dabei werden mechanische Lasten durch konventionelle Fixateure aufgenommen und der Defektraum durch den mehrfachen Einsatz von bio-funktionalisierten flachen Scaffolds gefüllt.:1. Vorwort 3 2. Allgemeine Einführung 5 2.1 Der Knochen 5 2.1.1 Die Knochenbildung 5 2.1.2 Zur Anatomie und Physiologie des Knochens 7 2.2 Tissue Engineering 11 2.2.1 Zelltypen für das Tissue Engineering von Knochen 12 2.2.2 Scaffold Design im Tissue Engineering von Knochen 13 2.3 Polyhydroxyalkanoate 13 2.4 Tissue Engineering am Röhrenknochen 16 2.4.1 Poly(3-hydroxybutyrat)-Scaffolds für das Tissue Engineering von Knochenersatz 17 2.4.2 Matrix Engineering 18 2.5 Ziel der Arbeit 19 3. Mechanik poröser PHB-Scaffolds 21 3.1 Einleitung 21 3.2 Materialien und Methoden 23 3.2.1 Polyhydroxybutyrate und Porogene 23 3.2.2 Uniaxiales Heißpressen 24 3.2.3 Mikrographie 26 3.2.4 Dynamische Differenzkalorimetrie (DSC) 26 3.2.5 Mechanische Druckversuche 26 3.2.6 Mikrocomputertomographie (μCT) 27 3.2.7 Zellviabilität auf den Scaffolds 28 3.3 Ergebnisse 29 3.3.1 Mikrographie 29 3.3.2 Mikrocomputertomographie (μCT) 33 3.3.3 Druckversuche 37 3.3.4 Dynamische Differenzkalorimetrie (DSC) 40 3.3.5 Zellviabilität 40 3.4 Diskussion 40 3.5 Schlussfolgernde Zusammenfassung 46 4. Degradation von P3HB-Fasern 47 4.1 Degradation von Polyhydroxyalkanoaten 47 4.2 Materialien und Methoden 49 4.2.1 Herstellung und Vorbehandlung textiler P3HB-Konstrukte 49 4.2.2 Mechanische Prüfung 50 4.2.3 Beschleunigte Degradation 50 4.2.4 Untersuchung der Oberfläche 50 4.2.5 Dynamische Differenzkalorimetrie (DSC) 51 4.2.6 Gel-Permeations-Chromatographie (GPC) 51 4.3 Ergebnisse 52 4.3.1 Mechanische Tests 52 4.3.2 Die Charakterisierung der Oberfläche 52 4.3.3 Thermische Fasereigenschaften.55 4.3.4 Untersuchung der Molekulargewichte in der GPC 58 4.4 Diskussion 60 4.5 Schlussfolgernde Zusammenfassung 64 5. hMSC auf textilen Scaffolds 67 5.1 Einleitung 67 5.2 Material und Methoden 68 5.2.1 Erzeugung der P3HB-Scaffolds 68 5.2.2 Die Immobilisierung der EZM-Komponenten auf den Scaffolds 69 5.2.3 Isolation, Vorkultur, Besiedlung und Kultur der humanen mesenchymalen Vorläuferzellen 69 5.2.4 Kombinierte Bestimmung von ALP, MTT und Proteingehalt 71 5.2.5 Mikroskopische Untersuchungen 72 5.2.6 Nachweis der Kalziummineralisierung 73 5.2.7 Quantitative real time reverse transcribing polymerase chain reaction (rt-PCR) 73 5.2.8 cRNA Microarray-Untersuchung 74 5.2.9 Zusätzliche Experimente 75 5.3 Ergebnisse 76 5.3.1 Vorhergehende Untersuchung 76 5.3.2 Rasterelektronen-Mikroskopie 77 5.3.3 Konfokale Laser-Scanning-Mikroskopie 79 5.3.4 ALP-Aktivität, SDH-Aktivität und Proteingehalt 82 5.3.5 Mineralisierende Kalziumabscheidung 86 5.3.6 rt-PCR 87 5.3.7 cRNA Microarray-Untersuchung 90 5.3.8 Kulturen von hMSC mit Chondroitinsulfat als gelöstem Zusatz 93 5.4 Diskussion 93 5.5 Schlussfolgernde Zusammenfassung 98 6. Zusammenfassung 101

Užití biologických materiálů k náhradě tkání v plastické chirurgii ! Abstrakt v angličtině Background: Biological meshes are biomaterials consisted of extracellular matrix and used in surgery particularly for hernia treatment or thoracic wall reconstruction. They are capable of vascularization, that decreases risk of infection, expecially when used in contaminated fields. This study compared the strength of incorporation and biocompatibility of two porcine-derived grafts (cross-linked and non-cross-linked) in a rat hernia model. In addition, we hypothesized that combination of extracellular matrices with autologous mesenchymal stem cells used for hernia repair would result in increased vascularization and increased strength of incorporation. Methods: Standardized 2 x 4 cm fascial defect was created in 42 Wistar rats and repaired with a cross-linked or a non-cross-linked graft either enriched or non-enriched with stem cells. The rats were sacrificed 3, 6 and 12 months later. The strength of incorporation, vascularization, cellular invasion, foreign body reaction and capsule formation were evaluated. Results: Comparison of stem cell enriched and non-enriched groups showed no significant differences in the capsule thickness, foreign body reaction, cellularization or vascularization. In the non-cross-linked...

Nonviral gene delivery, though limited by inefficiency, has extensive utility in cell therapy, tissue engineering, and diagnostics. Substrate-mediated gene delivery (SMD) increases efficiency and allows transfection at a cell-biomaterial interface, by immobilizing and concentrating nucleic acid complexes on a surface. Efficient SMD generally requires substrates to be coated with serum or other protein coatings to mediate nucleic acid complex immobilization, as well as cell adhesion and growth; however, this strategy limits reproducibility and may be difficult to translate for clinical applications. As an alternative, we screened a chemically defined combinatorial library of 20 different extracellular matrix mimetic substrates containing combinations of (1) different sulfated polysaccharides that are essential extracellular matrix glycosaminoglycans (GAGs), with (2) mimetic peptides derived from adhesion proteins, growth factors, and cell-penetrating domains, for use as SMD coatings. We identified optimal substrates for DNA lipoplex and polyplex SMD transfection of fibroblasts and human mesenchymal stem cells. Optimal extracellular matrix mimetic substrates varied between cell type, donor source, and transfection reagent, but typically contained Heparin GAG and an adhesion peptide. Multiple substrates significantly increased transgene expression (i.e. 2- to 20-fold) over standard protein coatings. Considering previous research of similar ligands, we hypothesize extracellular matrix mimetic substrates modulate cell adhesion, proliferation, and survival, as well as plasmid internalization and trafficking. Our results demonstrate the utility of screening combinatorial extracellular matrix mimetic substrates for optimal SMD transfection towards application- and patient-specific technologies.

La leucémie myélomonocytaire chronique (LMMC) est une hémopathie myéloïde rare du sujet âgé. Les caractéristiques cliniques, génétiques et moléculaires de la maladie sont bien connues. L’expression très hétérogène de la maladie ne peut être expliquée par la seule hétérogénéité génétique du clone leucémique. Les altérations épigénétiques jouent manifestement un rôle important. Le rôle de facteurs extrinsèques issus du microenvironnement est plus obscur. La niche hématopoïétique est le siège d’interactions entre cellules. Deux schémas non-exclusifs d’altération primaire ou secondaire de la niche sont proposés. Le premier implique que l’émergence d’un clone hématopoïétique modifie son environnement. Le second postule que le premier évènement dans l’émergence d’une hémopathie clonale est une altération de l’environnement. Mon travail de thèse a étudié les altérations du microenvironnement médullaire chez les patients et leur impact sur la physiopathologie de la maladie selon 2 axes: 1) la mise au point d’un modèle murin de reconstitution de la niche hématopoïetique humaine et 2) la caractérisation des cellules souches mésenchymateuses des patients. Dans une première partie, j’ai transposé un modèle rapporté en 2016 à l’étude de la LMMC. Ce modèle de greffe de cellules médullaires humaines chez la souris immunodéprimée s’est avéré difficilement reproductible. Dans la seconde partie, j’ai analysé les cellules souches mésenchymateuses de patients atteints de LMMC. J’ai identifié la production excessive d’IGFBP2 (Insuline-like Growth Factor Binding Protein 2), conséquence probable d’une dérégulation épigénétique. Le séquençage des CSM à l’échelle unicellulaire a révélé une restriction de l’hétérogénéité de ces cellules dont une fraction seulement produit IGFBP2. Finalement, j’ai montré qu’IGFBP2 favorise la différenciation des progéni-teurs myéloïdes vers la lignée monocytaire. IGFBP2 pourrait donc contribuer à amplifier la monocytose caractéristique de cette maladie.En conclusion, la LMMC s’accompagne de modifications des cellules de la niche hématopoÏétique dont certaines produisent des quantités excessive d’IGFBP2. La recherche de l’origine de ce dérèglement et de son importance dans la progression de la maladie permettra d’évaluer l’intérêt potentiel d’une neutralisation de cette cytokine à des fins thérapeutiques. / Chronic myelomonocytic leukemia (CMML, is a rare myeloid hemopathy of the elderly. Clinical, genetic and molecular characteristics of the disease are well-known. The highly heterogeneous expression of the disease can’t be solely explained by genetic heterogeneity of the leukemic clone. Epigenetic alterations obviously play an important role. However, the role of extrinsic factors from the medullar microenvironment in CMML physiopathology is still poorly understood. The hematopoietic niche hosts a lot of bi-directionnal interactions between cells. Two non-exclusive schemes of primary and secondary alterations of the niche can be proposed. First postulate implies that the emergence of a hematopoietic clone alters its environment. The second one supposes that the first event causing the emergence of a clonal hemopathy is an alteration of the environment. My PhD work consisted of studying medullar alterations in patients and their impact on CMML physiopathology upon 2 axes: 1) to set up a murine model of human hematopoietic niche reconstitution 2) to caracterise mesenchymal stem cells from CMML patient ex vivo. During the first part of my PhD, I adapted a model published in 2016 to CMML. This model of human MSC graft in immunodeficient mice proved to be hardly reproducible. During the second part, I analysed of CMML patients MSC. I identified an excessive production of IGFBP2 (Insuline-like Growth Factor Binding Protein 2) probably secondary to an epigenetic disregulation. Single cell RNA sequencing revealed a restriction of MSC heterogeneity of which only a fraction produces IGFBP2. Finally, I showed that IGFBP2 favors myeloid progenitors differenciation towards monocytic lineage. IGFBP2 could therefore contribute to the amplification of CMML characteristic monocytosis.To conclude, CMML goes along with modifications of hematopoietic niche cells, some of which produce excessive amounts of IGFBP2. Investigation on the origin of this alteration and its significance in disease progression should allow to evaluate the potential interest of its neutralization for therapeutic strategies.

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Over the last decade a huge amount of experimental data on biological systems has been generated by modern high-throughput methods. Aided by bioinformatics, the ''-omics'' (genomics, transcriptomics, proteomics, metabolomics and interactomics) have listed, quantif ed and analyzed molecular components and interactions on all levels of cellular regulation. However, a comprehensive framework, that does not only list, but links all those components, is still largely missing. The biology-based but highly interdisciplinary field of systems biology aims at such a holistic understanding of complex biological systems covering the length scales from molecules to whole organisms. Spanning the length scales, it has to integrate the data from very different fields and to bring together scientists from those fields. For linking experiments and theory, hypothesis-driven research is an indispensable concept, formulating a cycle of experiment, modeling, model predictions for new experiments and, fi nally, their experimental validation as the start of the new iteration. On the hierarchy of length scales certain unique entities can be identi fied. At the nanometer scale such functional entities are molecules and at the micrometer level these are the cells. Cells can be studied in vitro as independent individuals isolated from an organism, but their interplay and communication in vivo is crucial for tissue function. Control over such regulation mechanisms is therefore a main goal of medical research. The requirements for understanding cellular interplay also illustrate the interdisciplinarity of systems biology, because chemical, physical and biological knowledge is needed simultaneously. Following the notion of cells as the basic units of life, the focus of this thesis are mathematical multi-scale models of multi-cellular systems employing the concept of individual (or agent) based modeling (IBM). This concept accounts for the entity cell and their individuality in function and space. Motivated by experimental observations, cells are represented as elastic and adhesive spheres. Their interaction is given by a model for elastic homogeneous spheres, which has been established for analysis of the elastic response of cells, plus an adhesion term. Cell movement is modeled by an equation of motion for each cell which is based on the balance of interaction, friction and active forces on the respective cell. As a fi rst step the model was carefully examined with regard to the model assumptions, namely, spherical shape, homogeneous isotropic elastic body and apriori undirected movement. The model examination included simulations of cell sorting and compression of multicellular spheroids. Cell sorting could not be achieved with only short range adhesion. However, it sorting completed with long range interactions for small cell numbers, but failed for larger aggregates. Compression dynamics of multi-cellular spheroids was apparently reproduced qualitatively by the model. But in a more detailed survey neither the time scales nor the rounding after compression could be reproduced. Based on these results, the applications consistent with the assumed simpli cations are discussed. One already established application is colony growth in two-dimensional cell cultures. In order to model cell growth and division, a two-phase model of the cell cycle was established. In a growth phase the cell doubles its volume by stochastic increments, and in a mitotic phase it divides into two daughter cells of equal volume. Additionally, control of the cell cycle by contact inhibition is included in the model. After examination of its applicability, the presented model is used for simulations of in vitro growth of mesenchymal stem cells (MSC) and subsequent cartilage formation in multi-cellular spheroids. A main factor for both processes is the oxygen concentration. Experimental results have shown, that i) MSC grow much better in vitro at low than at high oxygen concentrations and ii) the MSC progeny harvested from low oxygen culture produce higher amounts of the cartilage components aggrecan and collagen II in multicellular spheroids than the ones from high oxygen culture. In order to model these processes, IBM was extended by a stochastic model for cellular differentiation. In this model cellular differentiation is captured phenomenologically by two additional individual properties, the degree of differentiation and the lineage or cell type, which are subject to fl uctuations, that are state and environment dependent. After fitting the model parameters to the experimental results on MSC growth in monoclonal expansion cultures at low and high oxygen concentrations, the resulting simulated cell populations were used for initialization of the simulations of cartilage formation in multi-cellular spheroids. The model nicely reproduced the experimental results on growth dynamics and the observed number of functional cells in the spheroids and suggests the following explanation for the difference between the two expansion cultures: due to the stronger pre-differentiation found after expansion in high oxygen, the plasticity of these cells is smaller and less cell adopt the chondrogenic phenotype and start to produce cartilage. Moreover, the model predicts an optimal oxygen concentration for cartilage formation independent of expansion culture and a de-differentiating effect of low oxygen culture within 24h. Because all simulations comply with the concept of hypothesis-driven research and follow closely the experimental protocols, they can easily be tested and are currently used for optimization of a bioreactor for cartilage production. Cell populations are composed of individual cells and regulation of population properties is performed by individual cell, but knowledge about individual cell fates is largely missing due to the problem of single cell tracking. The IBM modeling approach used for modeling MSC growth and differentiation generically includes information of each individual cell and is therefore perfectly suited for tackling this question. Based on the validated parameter set, the model was used to generate predictions on plasticity of single cells and related population dynamics. Single cell plasticity was quantifi ed by calculating transition times into stem cell and differentiated cell states at high and low oxygen concentrations. At low oxygen the results predict a frequent exchange between all subpopulations, while at high oxygen a quasi-deterministic differentiation is found. After quantifying the plasticity of single cells at low and high oxygen concentration, the plasticity of a cell population is addressed in a simulation closely following a regeneration experiment of populations of hematopoietic progenitor cells. In the simulation the regeneration of the distribution of differentiation states in the population is monitored after selection of subpopulations of stem cells and differentiated cells. Simulated regeneration occurs on the time scales estimated from the single cell transition times except the unexpectedly fast regeneration from differentiated cells in the high oxygen environment, which favors differentiation. The latter case emphasizes the importance of single outlier cells in such system, which in this case repopulate less differentiated states with their progeny. In general, cell proliferation and regeneration behavior are in uenced by biomechanical and geometrical properties of the environment e.g. matrix stiffness or cell density. Because in the model cells are represented as physical objects, a variation of friction is linked to cell motility. The cultures of less motile cells become denser at the same size and the effects of contact inhibition of growth more pronounced. This variation of friction coe fficients allows the comparison of cultures with varying degrees of contact inhibition regarding their differentiation structure and the results suggest, that stalled proliferation is su fficient to explain the well-known differentiation effects in confl uent colonies. In addition, the composition of the simulated stem cell pool was analyzed regarding differentiation. In contrast to the established pedigree models, where stem cell can only be produced by asymmetric division, this model predicts that most of the cells in stem cell states descend from progenitor cells of intermediate differentiation states. A more detailed analysis of single cell derived clones revealed properties that could not be described by the model so far. First, a differentiation gradient was observed in larger colonies, that was the opposite of the one predicted by the model. Second, the proliferative activity turned out to depend not only on oxygen, but also to be a property of individual clones persisting over many generations. Because the relation slow growth/pre-differentiation also holds for single cell derived clones, the general model of differentiation is extended by another heritable individual property. Motivated by the decline of proliferation and differentiation in culture and the high metabolic and epigenetic activity during cell division, each division event is assumed to de-stabilize stem cell states. Consequently, in the model the cells age in terms of cell divisions determines the fl uctuations in stem cell states and the environment the mean fl uctuation strength. Including this novel concept, that links aging to growth and differentiation dynamics, into the model reproduces the experimental results regarding differentiation gradient and persistent clonal heterogeneity. The spatial differentiation pattern can largely be explained by the spatio-temporal growth pattern of the mono-clonal cell assembly: cells close to the border of the cell assembly have undergone more cell divisions than those in the interior and therefore their stem cell states are less stable. Heterogeneity of single-cell derived clones depends on the age of the first cell in the clone. When the stem cell fluctuations equal the mean fl uctuations strength, the proliferative activity passes a maximum at a certain age due to the destabilization of stem cell states. Thereafter the proliferative activity decreases, because more time is spent in non-proliferative differentiated states. Considering the number of divisions the cells have already undergone in vivo and after the initial expansion in vitro, it can be assumed that all cells have already passed this maximum. Interestingly, the model also predicts an optimal age for directed differentiation, when cells stably differentiate, but have not lost the required plasticity. According to the model, this clonal heterogeneity may be caused purely in vitro, but hypothetical simulation of in vivo aging yielded results consistent with experiments on MSC from rats of varying age. Finally, the detailed molecular regulation mechanisms in a multi-scale tissue model of liver zonation was studied, in which the key molecular components were explicitly modeled. Hence, this model resolved the intracellular regulation in higher resolution than the above considered differentiation models which had summarized the intracellular control and differentiation mechanisms by a few phenomenological, dynamical variables. The metabolic zonation of the liver is essential for many of the complex liver functions. One of the vitally important enzymes, glutamine synthetase, (GS) is only synthesized in a strictly defi ned pattern. Experimental evidence has shown that a particular pathway, the canonical wnt pathway, controls expression of the gene for GS. A model for transport, receptor dynamics and intracellular regulation mechanism has been set up for modeling the spatio-temporal formation of this pattern. It includes membrane-bound transport of the morphogen and an enzyme kinetics approach to fibeta-catenin-regulation in the interior of the cell. As an IBM this model reproduces the results of co-culture experiments in which two-dimensional arrangements of liver cells and an epithelial liver cell line give rise to different patterns of GS synthesis. The two main predictions of the model are: First, GS-synthesis requires a certain local cell number of wnt releasing cells. And second, a simple inversion of geometry explains the difference between the specifi c GS pattern found in the liver and in the co-culture experiments. Summarizing the results presented in this thesis, it can be concluded that properties such as the occurrence of memory effects and single cells pursuing fates far off the population average could be essential for biological function. Considering the role of single cells in many tissues, the use of individual based methods, that are able to take such effects into account, can be expected to be a very valuable tool for the problems of systems biology.

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