Introduction

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Patterns of Mesenchymal Condensation in a Multiscale, Discrete Stochastic Model

Cells of the embryonic vertebrate limb in high-density culture undergo chondrogenic pattern formation, which results in the production of regularly spaced “islands” of cartilage similar to the cartilage primordia of the developing limb skeleton. The first step in this process, in vitro and in vivo, is the generation of “cell condensations,” in which the precartilage cells become more tightly packed at the sites at which cartilage will form. In this paper we describe a discrete, stochastic model for the behavior of limb bud precartilage mesenchymal cells in vitro. The model uses a biologically motivated reaction–diffusion process and cell-matrix adhesion (haptotaxis) as the bases of chondrogenic pattern formation, whereby the biochemically distinct condensing cells, as well as the size, number, and arrangement of the multicellular condensations, are generated in a self-organizing fashion. Improving on an earlier lattice-gas representation of the same process, it is multiscale (i.e., cell and molecular dynamics occur on distinct scales), and the cells are represented as spatially extended objects that can change their shape. The authors calibrate the model using experimental data and study sensitivity to changes in key parameters. The simulations have disclosed two distinct dynamic regimes for pattern self-organization involving transient or stationary inductive patterns of morphogens. The authors discuss these modes of pattern formation in relation to available experimental evidence for the in vitro system, as well as their implications for understanding limb skeletal patterning during embryonic development

Modeling Morphogenesis in silico and in vitro: Towards Quantitative, Predictive, Cell-based Modeling

Cell-based, mathematical models help make sense of morphogenesis—i.e. cells organizing into shape and pattern—by capturing cell behavior in simple, purely descriptive models. Cell-based models then predict the tissue-level patterns the cells produce collectively. The first step in a cell-based modeling approach is to isolate sub-processes, e.g. the patterning capabilities of one or a few cell types in cell cultures. Cell-based models can then identify the mechanisms responsible for patterning in vitro. This review discusses two cell culture models of morphogenesis that have been studied using this combined experimental-mathematical approach: chondrogenesis (cartilage patterning) and vasculogenesis (de novo blood vessel growth). In both these systems, radically dif- ferent models can equally plausibly explain the in vitro patterns. Quantitative descriptions of cell behavior would help choose between alternative models. We will briefly review the experimental methodology (microfluidics technology and traction force microscopy) used to measure responses of individual cells to their micro-environment, including chemical gradients, physical forces and neighboring cells. We conclude by discussing how to include quantitative cell descriptions into a cell-based model: the Cellular Potts model

The effect of electric fields on hyaline cartilage: an in vitro and in silico study

Tesis por compendio[ES] El cartílago hialino es un tejido conectivo denso con poca capacidad de auto regeneración cuando es afectado por patologías degenerativas. Por lo tanto, la estimulación eléctrica se ha propuesto como una terapia alternativa no invasiva para mejorar la reparación del cartílago hialino. De acuerdo con esto, este trabajo presenta un enfoque computacional y experimental combinado para entender mejor la biología del cartílago hialino y su respuesta a la estimulación eléctrica usando diferentes modelos in vitro. En primer lugar, se ha desarrollado un modelo mecanobiológico para simular el proceso de osificación endocondral. Por otro lado, se ha evaluado el efecto de la estimulación eléctrica sobre el cartílago hialino en tres escenarios diferentes. Inicialmente se ha analizado la proliferación celular y la síntesis de glicosaminoglicanos de condrocitos cultivados en monocapa y estimulados con campos eléctricos. Luego, se ha realizado un análisis histomorfométrico a explantes de condroepífisis que fueron estimulados eléctricamente. Por último, se ha evaluado el efecto de los campos eléctricos sobre la diferenciación condrogénica de células madre mesenquimales cultivadas en hidrogeles. Los resultados indican que la estimulación eléctrica es un estímulo biofísico prometedor, ya que este tipo de estimulación mejora la viabilidad y la proliferación celular, induce cambios morfológicos en los condrocitos, y estimula la síntesis de las principales moléculas que componen el cartílago hialino, tales como SOX-9, glicosaminoglicanos y agrecan. Además, este proyecto es el primer paso hacia la implementación de un estímulo biofísico alternativo que modifica la dinámica celular de los condrocitos de la placa de crecimiento en condiciones ex vivo. Adicionalmente, este estudio resalta el efecto potencial de los campos eléctricos para inducir el proceso de condrogénesis de células madre mesenquimales cultivadas en condiciones basales. En general, la evaluación de la estimulación eléctrica sobre condrocitos, tejidos y andamios es una herramienta útil que puede contribuir al conocimiento actual de las terapias regenerativas enfocadas en la regeneración del cartílago hialino.[CA] El cartílag hialí és un teixit connectiu dens amb poca capacitat d'auto regeneració quan es veu afectat per patologies degeneratives. Per tant, l'estimulació elèctrica s'ha proposat com una teràpia alternativa no invasiva per millorar la reparació del cartílag articular. D'acord amb això, aquest treball presenta un enfoc computacional i experimental combinat per entendre millor la biologia del cartílag hialí i la seva resposta a l'estimulació elèctrica usant diferents models in vitro. En primer lloc, s'ha desenvolupat un model mecanobiològic per simular el procés d'ossificació endocondral. D'altra banda, s'ha avaluat l'efecte de l'estimulació elèctrica sobre el cartílag hialí en tres escenaris diferents. Inicialment s'ha analitzat la proliferació cel·lular i la síntesi de glicosaminoglicans de condròcits cultivats en monocapa i estimulats amb camps elèctrics. Després, s'ha realitzat una anàlisi histomorfomètrica a explants de condroepífisis que van ser estimulats elèctricament. Finalment, s'ha avaluat l'efecte dels camps elèctrics sobre la diferenciació condrogénica de cèl·lules mare mesenquimals cultivades en hidrogels. Els resultats indiquen que l'estimulació elèctrica és un estímul biofîsic prometedor, ja que aquest tipus d'estimulació millora la viabilitat i la proliferació cel·lular, indueix canvis morfològics en els condròcits, i estimula la síntesi de les principals molècules que componen el cartílag hialí, com ara SOX-9, glicosaminoglicans i agrecan. A més, aquest projecte és el primer pas cap a la implementació d'un estímul biofísic alternatiu que modifica la dinàmica cel·lular dels condròcits de la placa de creixement en condicions ex vivo. Addicionalment, aquest estudi ressalta l'efecte potencial dels camps elèctrics per induir el procés de condrogènesi de cèl·lules mare mesenquimals cultivades en condicions basals. En general, l'avaluació de l'estimulació elèctrica sobre condròcits, teixits i scaffolds és una eina útil que pot contribuir al coneixement actual de les teràpies regeneratives enfocades a la regeneració del cartílag hialí.[EN] Hyaline cartilage is a dense connective tissue with low self-healing capacity when is affected by degenerative pathologies. Therefore, electrical stimulation has been proposed as a possible non-invasive alternative therapy to enhance the restoration of the cartilaginous tissue. Accordingly, this work presents a combined computational and experimental approach to understand better the hyaline cartilage biology and its response to electrical stimulation using different in vitro models. On the one hand, a mechanobiological model was developed to simulate the endochondral ossification process. On the other hand, the electrical stimulation on hyaline cartilage was evaluated in three different scenarios. Initially, cell proliferation and glycosaminoglycans synthesis of chondrocytes, cultured in monolayer and stimulated with electric fields, was analyzed. Then, a histomorphometric analysis was performed to chondroepiphysis explants that were electrically stimulated. Finally, the effects of the electric fields on chondrogenic differentiation of mesenchymal stem cells cultured in hydrogels was assessed. The results indicated that electrical stimulation is a promising biophysical stimulus, due to the fact that this type of stimulation enhances the viability and the proliferation of cells, induces morphological changes in the chondrocytes, and stimulates the synthesis of the main molecules that compose the hyaline cartilage, such as SOX-9, glycosaminoglycans and aggrecan. Moreover, this project is the first step towards the implementation of an alternative biophysical stimulus that modifies the cellular dynamics of growth plate chondrocytes in ex vivo conditions. Additionally, this study highlights the potential effect of electric fields to induce the chondrogenesis process of mesenchymal stem cells cultured in basal conditions. Overall, the assessment of electrical stimulation on chondrocytes, tissues and scaffolds is a useful tool that may contribute to the current knowledge of regenerative therapies focused on hyaline cartilage healing.To the financial support from COLCIENCIAS – COLFUTURO through the fellowship No. 647 for national doctorates. To the financial support from COLCIENCIAS through the research grant 712-2015 No. 50457. To the financial support from the Spanish Ministry of Economy and Competitiveness through the MAT2016-76039-C4-1-R project.Vaca González, JJ. (2019). The effect of electric fields on hyaline cartilage: an in vitro and in silico study [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/120023TESISCompendi

Electrospinning and emerging healthcare and medicine possibilities

Electrospinning forms fibers from either an electrically charged polymer solution or polymer melt. Over the past decades, it has become a simple and versatile method for nanofiber production. Hence, it has been explored in many different applications. Commonly used electrospinning assembles fibers from polymer solutions in various solvents, known as solution electrospinning, while melt and near-field electrospinning techniques enhance the versatility of electrospinning. Adaption of additive manufacturing strategy to electrospinning permits precise fiber deposition and predefining pattern construction. This manuscript critically presents the potential of electrospun nanofibers in healthcare applications. Research community drew impetus from the similarity of electrospun nanofibers to the morphology and mechanical properties of fibrous extracellular matrices (ECM) of natural human tissues. Electrospun nanofibrous scaffolds act as ECM analogs for specific tissue cells, stem cells, and tumor cells to realize tissue regeneration, stem cell differentiation, and in vitro tumor model construction. The large surface-to-volume ratio of electrospun nanofibers offers a considerable number of bioactive agents binding sites, which makes it a promising candidate for a number of biomedical applications. The applications of electrospinning in regenerative medicine, tissue engineering, controlled drug delivery, biosensors, and cancer diagnosis are elaborated. Electrospun nanofiber incorporations in medical device coating, in vitro 3D cancer model, and filtration membrane are also discussed

A regulatory network of two galectins mediates the earliest steps of avian limb skeletal morphogenesis

Background: The skeletal elements of vertebrate embryonic limbs are prefigured by rod- and spot-like condensations of precartilage mesenchymal cells. The formation of these condensations depends on cell-matrix and cell-cell interactions, but how they are initiated and patterned is as yet unresolved. Results: Here we provide evidence that galectins, beta-galactoside-binding lectins with beta-sandwich folding, play fundamental roles in these processes. We show that among the five chicken galectin (CG) genes, two, CG-1A, and CG-8, are markedly elevated in expression at prospective sites of condensation in vitro and in vivo, with their protein products appearing earlier in development than any previously described marker. The two molecules enhance one another's gene expression but have opposite effects on condensation formation and cartilage development in vivo and in vitro: CG-1A, a non-covalent homodimer, promotes this process, while the tandem-repeat type CG-8 antagonizes it. Correspondingly, knockdown of CG-1A inhibits the formation of skeletal elements while knockdown of CG-8 enhances it. The apparent paradox of mutual activation at the gene expression level coupled with antagonistic roles in skeletogenesis is resolved by analysis of the direct effect of the proteins on precartilage cells. Specifically, CG-1A causes their aggregation, whereas CG-8, which has no adhesive function of its own, blocks this effect. The developmental appearance and regulation of the unknown cell surface moieties ("ligands") to which CG-1A and CG-8 bind were indicative of specific cognate- and cross-regulatory interactions. Conclusion: Our findings indicate that CG-1A and CG-8 constitute a multiscale network that is a major mediator, earlier-acting than any previously described, of the formation and patterning of precartilage mesenchymal condensations in the developing limb. This network functions autonomously of limb bud signaling centers or other limb bud positional cues

Cartilage Repair and Regeneration: Focus on Multi-Disciplinary Strategies

The present book recapitulates the articles published within the Special Issue "Cartilage Repair and Regeneration: Focus on Multi-Disciplinary Strategies", Applied Sciences, MDPI, dealing with the innovative multi-disciplinary therapeutic approaches for musculoskeletal diseases. In particular the published studies space from advanced 3D bioprinting technology to obtain a scaffold with different zonal cell densities, and biphasic scaffold (ChondroMimetic) construction, pass through the comparison of different techniques for cartilage regeneration such as of mosaicplasty and matrix-assisted autologous chondrocyte transplantation (MACT) and histopathological features of osteochondral units, and end with the considerations regarding development of bioreactors able to mimic the biomechanical load on chondrocytes in vitro, giving some interesting insights in this specific scientific field

The application of agent-based modeling and fuzzy-logic controllers for the study of magnesium biomaterials

Agent-based modeling (ABM) is a powerful approach for studying complex systems and their underlying properties by explicitly modeling the actions and interactions of individual agents. Over the past decade, numerous software programs have been developed to address the needs of the ABM community. However, these solutions often suffer from limitations in design, a lack of comprehensive documentation, or poor performance. As the first objective of this thesis, we introduce CppyABM-a general-purpose software for ABM that provides simulation tools in both Python and C++. CppyABM also enables ABM development using a combination of C++ and Python, taking advantage of the computational performance of C++ and the data analysis and visualization tools of Python. We demonstrate the capabilities of CppyABM through its application to various problems in ecology, virology, and computational biology. As the second objective of this thesis, we use ABM and fuzzy logic controllers (FLCs) to numerically study the effects of magnesium (Mg2+) ions on osteogenesis. Mg-based materials have emerged as the next generation of biomaterials that degrade in the body after implantation and eliminate the need for secondary surgery. We develop two computer models using ABM and FLC and calibrate them based on cell culture experiments. The models were able to capture the regulatory effects of Mg2+ ions and other important factors such as inflammatory cytokines on mesenchymal stem cells (MSC) activities. The models were also able to shed light on the fundamental differences in the cells cultured in different experiments such as proliferation capacity and sensitivity to environmental factors

At the Biological Modeling and Simulation Frontier

We provide a rationale for and describe examples of synthetic modeling and simulation (M&S) of biological systems. We explain how synthetic methods are distinct from familiar inductive methods. Synthetic M&S is a means to better understand the mechanisms that generate normal and disease-related phenomena observed in research, and how compounds of interest interact with them to alter phenomena. An objective is to build better, working hypotheses of plausible mechanisms. A synthetic model is an extant hypothesis: execution produces an observable mechanism and phenomena. Mobile objects representing compounds carry information enabling components to distinguish between them and react accordingly when different compounds are studied simultaneously. We argue that the familiar inductive approaches contribute to the general inefficiencies being experienced by pharmaceutical R&D, and that use of synthetic approaches accelerates and improves R&D decision-making and thus the drug development process. A reason is that synthetic models encourage and facilitate abductive scientific reasoning, a primary means of knowledge creation and creative cognition. When synthetic models are executed, we observe different aspects of knowledge in action from different perspectives. These models can be tuned to reflect differences in experimental conditions and individuals, making translational research more concrete while moving us closer to personalized medicine