The cell is the central functional unit of life. Cell behaviors, such as cell division, movements, differentiation, cell death as well as cell shape and size changes, determine how tissues change shape and grow during regeneration and development. However, a generally applicable framework to measure and describe the behavior of the multitude of cells in a developing tissue is still lacking. Furthermore, the specific contribution of individual cell behaviors, and how exactly these cell behaviors collectively lead to the morphogenesis and growth of tissues are not clear for many developmental and regenerative processes. A promising strategy to fill these gaps is the continuing effort of making developmental biology a quantitative science. Recent advances in methods, especially in imaging, enable measurements of cell behaviors and tissue shapes in unprecedented detail and accuracy. Consequently, formalizing hypotheses in terms of mathematical models to obtain testable quantitative predictions is emerging as a powerful tool. Tests of the hypotheses involve the comparison of model predictions to experimentally observed data. The available data is often noisy and based on only few samples. Hence, this comparison of data and model predictions often requires very careful use of statistical inference methods. If one chooses this quantitative approach, the challenges are the choice of observables, i.e. what to measure, and the design of appropriate data-driven models to answer relevant questions. In this thesis, I applied this data-driven modeling approach to vertebrate morphogenesis, growth and regeneration. In particular, I study spinal cord and muscle regeneration in axolotl, muscle development in zebrafish, and neuron development and maintenance in the adult human brain. To do so, I analyzed images to quantify cell behaviors and tissue shapes. Especially for cell behaviors in post-embryonic tissues, measurements of some cell behavior parameters, such as the proliferation rate, could not be made directly. Hence, I developed mathematical models that are specifically designed to infer these parameters from indirect experimental data. To understand how cell behaviors shape tissues, I developed mechanistic models that causally connect the cell and tissue scales. Specifically, I first investigated the behaviors of neural stem cells that underlie the regenerative outgrowth of the spinal cord after tail amputation in the axolotl. To do so, I quantified all relevant cell behaviors. A detailed analysis of the proliferation pattern in space and time revealed that the cell cycle is accelerated between 3-4 days after amputation in a high-proliferation zone, initially spanning from 800 µm anterior to the amputation plane. The activation of quiescent stem cells and cell movements into the high-proliferation zone also contribute to spinal cord growth but I did not find contributions by cellular rearrangements or cell shape changes. I developed a mathematical model of spinal cord outgrowth involving all contributing cell behaviors which revealed that the acceleration of the cell cycle is the major driver of spinal cord outgrowth. To compare the behavior of neural stem cells with cell behaviors in the regenerating muscle tissue that surrounds the spinal cord, I also quantified proliferation of mesenchymal progenitor cells and found similar proliferation parameters. I showed that the zone of mesenchymal progenitors that gives rise to the regenerating muscle segments is at least 350 µm long, which is consistent with the length of the high-proliferation zone in the spinal cord. Second, I investigated shape changes in developing zebrafish muscle segments by quantifying time-lapse movies of developing zebrafish embryos. These data challenged or ruled out a number of previously proposed mechanisms. Motivated by reported cellular behaviors happening simultaneously in the anterior segments, I had previously proposed the existence of a simple tension-and-resistance mechanism that shapes the muscle segments. Here, I could verify the predictions of this mechanism for the final segment shape pattern. My results support the notion that a simple physical mechanism suffices to self-organize the observed spatiotemporal pattern in the muscle segments. Third, I corroborated and refined previous estimates of neuronal cell turnover rates in the adult human hippocampus. Previous work approached this question by combining quantitative data and mathematical modeling of the incorporation of the carbon isotope C-14. I reanalyzed published data using the published deterministic neuron turnover model but I extended the model by a better justified measurement error model. Most importantly, I found that human adult neurogenesis might occur at an even higher rate than currently believed. The tools I used throughout were (1) the careful quantification of the involved processes, mainly by image analysis, and (2) the derivation and application of mathematical models designed to integrate the data through (3) statistical inference. Mathematical models were used for different purposes such as estimating unknown parameters from indirect experiments, summarizing datasets with a few meaningful parameters, formalizing mechanistic hypotheses, as well as for model-guided experimental planning. I venture an outlook on how additional open questions regarding cell turnover measurements could be answered using my approach. Finally, I conclude that the mechanistic understanding of development and regeneration can be advanced by comparing quantitative data to the predictions of specifically designed mathematical models by means of statistical inference methods.

Introduction: 23 million patients worldwide suffer from heart failure. These patients depend on cardiac research, because cardiac research enables the development of new therapeutic strategies and –targets. In cardiomyocytes, the compartmentalization of cAMP and cGMP depends on many factors. T-tubuli and PDEs are responsible for the division of cells in microdomains in which localized and specific cAMP and cGMP-signaling occurs. The aim of this thesis was to develop a method to answer the open questions that remain about the physiological and pathophysiological significance of cAMP/cGMP compartmentalization. Methods: I used the zebrafish as a model, because the transparency of zebrafish larvae enabled non-invasive fluorescent imaging in cardiomyocytes in the living animal. I cloned the Fluorescence Resonance Energy Transfer (FRET) sensors EPAC1-camps for cAMP and cGi500 for cGMP and injected them into zebrafish fertilized embryos. Then I used the F0 generation for Fluorescence Lifetime Imaging (FLIM) -FRET-measurements of cAMP and cGMP. Ca2+ is an important downstream mediator of cAMP and cGMP, because Ca2+ regulates cardiac contraction. Therefore, I also cloned the Ca2+ sensor GCaMP6 and used the dye Fluo-4 AM to include intracellular Ca2+ in the imaging. Results: The cloned sensors for cAMP, cGMP and Ca2+ were successfully injected into the zebrafish and showed expression in individual cardiomyocytes. I developed a protocol to mount the living zebrafish embryos and to measure intracellular cAMP and cGMP with FLIM-FRET in vivo with high spatial resolution. I characterized the sensors in their functionality by showing that the sensors react to changes in intracellular concentrations of cAMP and cGMP. The results of this study include evidence that zebrafish have mechanisms that lead to cAMP/cGMP compartmentalization in the absence of T-tubuli, and these mechanisms keep compartmentalization constant even under extreme cAMP or cGMP increasing drug treatment. Furthermore, I imaged intracellular Ca2+ by confocal microscopy and developed a protocol to use Fluo-4 AM for Ca2+ imaging. Conclusion: The method used in this thesis should allow the investigation of subcellular cAMP/cGMP compartmentalization and Ca2+ and to subsequently answer open questions in the field, for example whether a change of cAMP compartmentalization leads to the pathological phenotypes of cardiac disease or if a changed compartmentalization of cAMP in cardiac disease influences Ca2+ concentrations and therefore contraction. Additionally, this method can be used to learn more about cAMP, cGMP und Ca2+ during regeneration in the heart, because the zebrafish cardiomyocytes can regenerate. / Einleitung: Weltweit sind mehr als 23 Millionen unter Herzinsuffizienz leidende Patienten auf die kardiologische Grundlagenforschung angewiesen, da diese die Voraussetzung für eine bessere Versorgung durch adaptierte und neue Behandlungswege schafft. In Kardiomyozyten hängt die Kompartimentierung von cAMP und cGMP von vielen Faktoren ab. T-Tubuli und PDEs werden unter anderem für die Aufteilung der Zellen in Mikrodomänen, in denen lokalisierte und spezifische cAMP- und cGMP-Signalgebung stattfinden kann, verantwortlich gemacht. Das Ziel dieser Arbeit war die Etablierung einer Methode, mithilfe derer offene Fragen bezüglich der physiologischen und insbesondere der pathophysiologischen Relevanz der cAMP- und cGMP Kompartimentierung beantwortet werden können. Methode: Als Modell diente der Zebrafisch, da die Transparenz von Zebrafisch Embryonen eine nicht-invasive Bildgebung von Fluoreszenz in Kardiomyozyten im lebenden Tier ermöglicht. Dafür klonierte ich die Förster Resonance Energy Transfer (FRET) -Sensoren EPAC1-camps als cAMP-Sensor und cGi500 als cGMP-Sensor und injizierte diese in befruchtete Zebrafisch Embryonen. Anschließend benutzte ich die F0-Generation für Fluorescence Lifetime Imaging (FLIM) -FRET-Messungen von cAMP und cGMP. Da Ca2+ als wichtiger downstream Mediator von cAMP und cGMP die kardiale Kontraktion reguliert, klonierte ich außerdem den Ca2+-Sensor GCaMP6 und benutzte den Farbstoff Fluo-4 AM, um intrazelluläres Ca2+ darzustellen. Ergebnisse: Die klonierten Sensoren für cAMP, cGMP und Ca2+ konnten erfolgreich in den Zebrafisch injiziert werden und zeigten alle Expression in einzelnen Kardiomyozyten. Ich entwickelte ein Protokoll, dass die Fixierung von lebenden Zebrafisch Embryonen und nachfolgender Bildgebung von cAMP und cGMP mit hoher zellulärer Auflösung mit FLIM-FRET in vivo erlaubte. Ich konnte eine funktionelle Charakterisierung der Sensoren durchführen, indem ich zeigte, dass sie auf Konzentrationsänderungen von intrazellulärem cAMP und cGMP reagieren sowie zeigen, dass Zebrafische trotz fehlender T-Tubuli eine signifikante cAMP- und cGMP Kompartimentierung aufweisen, auch unter extremen Bedingungen nach Gabe von cAMP/cGMP stimulierenden Substanzen in hoher Dosierung. Ich konnte zudem subzelluläres Ca2+ durch konfokale Mikroskopie bildgebend darstellen und entwickelte ein Protokoll, um mit Fluo-4 AM eine schnelle Möglichkeit zu haben, Ca2+ mit in die Messungen einzubeziehen. Ausblick: Die in dieser Arbeit benutzte Methode bietet eine gute Möglichkeit, subzelluläre cAMP- und cGMP-Kompartimentierung und Ca2+ zu untersuchen und damit zum Beispiel die Fragen zu beantworten, ob eine veränderte cAMP/cGMP Kompartimentierung zu Herzkrankheiten wie Hypertrophie führt oder ob eine veränderte cAMP Kompartimentierung den zellulären Ca2+ Haushalt und damit die kardiale Kontraktion beeinflusst. Darüber hinaus kann das von mir etablierte Protokoll dazu genutzt werden, mehr über cAMP, cGMP und Ca2+ während der Regeneration im Herzen zu lernen, da der Zebrafisch über ausgeprägte Regenerationsfähigkeiten verfügt.

Trans-dominante Mutationen im GPR1-Gen der Hefe Yarrowia lipolytica führen zur Sensitivität der Hefezellen gegenüber Essigsäure. Die Deletion dieses Genes hat dem gegenüber keinen Effekt auf den Phänotyp. In dieser Arbeit wurde das Gpr1-Protein aus Y. lipolytica und dessen Orthologe Ycr010cp, Ydr384cp und Ynr002cp von S. cerevisiae weiter charakterisiert. S. cerevisiae-Transformanden, welche die Mutantenallele GPR1-1 bzw. GPR1-2 exprimierten, zeigten bei gleichzeitiger Anwesenheit von Glucose eine erhöhte Sensitivität gegenüber Essigsäure. Mittels Ort-spezifischer und zufälliger Mutagenese konnten funktionell wichtige Bereiche in den Proteinen Ycr010cp und Ynr002cp identifiziert werden. Die GPR1-Orthologen in S. cerevisiae werden durch verschiedene C-Quellen und voneinander unabhängig reguliert. Die Expression von YCR010c und YDR384c wird weiterhin durch allgemeinen Stress induziert. Die Deletion von zwei oder allen drei Homologen hatte eine Verringerung der Ammoniumproduktion zur Folge. Aufgrund der geringen Ähnlichkeit der Gpr1p-Orthologen zu Ammoniumtransportern wird davon ausgegangen, daß sie selber keine Ammoniumtransporter darstellen. Es wird angenommen, dass die Gpr1p-orthologen Proteine eine regulatorische Funktion haben bzw. Bestandteil einer bisher nicht bekannten Signaltransduktionskette sind.