Current biological research demands the extensive use of sophisticatedmathematical methods and computer-aided analysis of experiments anddata. This highly interdisciplinary volume focuses on structural,dynamical and functional aspects of cellular systems and presentscorresponding experiments and mathematical models.The book may serve as an introduction for biologists, mathematicians andphysicists to key questions in cellular systems which can be studiedwith mathematical models. Recent model approaches are presented withapplications in cellular metabolism, intra- and intercellular…mehr
Current biological research demands the extensive use of sophisticatedmathematical methods and computer-aided analysis of experiments anddata. This highly interdisciplinary volume focuses on structural,dynamical and functional aspects of cellular systems and presentscorresponding experiments and mathematical models.The book may serve as an introduction for biologists, mathematicians andphysicists to key questions in cellular systems which can be studiedwith mathematical models. Recent model approaches are presented withapplications in cellular metabolism, intra- and intercellular signaling,cellular mechanics, network dynamics and pattern formation. In addition,applied issues such as tumor cell growth, dynamics of the immune systemand biotechnology are included.
to Part I.- A Functional Dynamics Approach to Modelling of Glycolysis.- Temperature-Compensation in Biological Clocks:Models and Experiments.- Metabolic Control Analysis of the ATPase Network in Contracting Muscle:Regulation of Contractile Function and ATP Free Energy Potential.- En Route for Systems Biology: In Silico Pathway Analysis and Metabolite Profiling.- to Part II.- Presynaptic Calcium Dynamics of Neurons in Answer to VariousStimulation Protocols.- Mathematical Modeling of Signaling Cascades: Principles and Future Prospects.- Collective Behavior of Membrane Channels: Electro-physiological Studies on Gap Junctions.- Modelling of Periodic Intercellular Ca2+ Waves.- Travelling Waves as a Mechanism of Pattern Generation in Discrete Cell Lattices.- Design and Operation: Keys to Understanding Biological Systems.- to Part III.- Biopolymer Dynamics.- Micromechanics of Molecular Motors: Experiments and Theory.- The Role of Osteocalcin in the Remodeling of Biomimetic Hydroxyapatite-Collagen Materials for Bone Replacement.- Cell Shape Normalization of Normal and Haploinsufficient NF1-Melanocytes by Micro-Structured Substrate Interaction.- Quantification of Shear Stress-Induced Cell Migration in Endothelial Cultures.- to Part IV.- Constructive and Dynamical Systems Approach to Life.- Coherent Dynamics in Networks of Single Protein Molecules.- Gene Regulatory Networks: A Discrete Model of Dynamics and Topological Evolution.- Evolutionary Reconstruction of Networks.- Modelling Simple Biochemical Networks.- On the Evolution of Information in the Constituents of Regulatory Gene Networks.- to Part V.- Biological Relevance of Tissue Liquidity and Viscoelasticity.- Reinforcement of Cytoskeleton-Matrix Bonds and Tensiotaxis: A Cell-Based Model.- Simulation of Haematopoietic Stem Cell Organisation Using a Single Cell Based Model Approach.- Pattern Formation in an Interacting Cell System: Rippling in Myxobacterial Aggregates.- to Part VI.- Molecular and Cellular Analysis of De Novo Pattern Formation in Hydra.- The Small Freshwater Polyp Hydra as a Model for Axis Formationin Higher Organisms.- Cell Migration, Cell Fate and Pattern Formation During Head Development in Lungfishes and Amphibians.- Cell-Based Modelling of Tissues.- to Part VII.- Cell-Based Models of Avascular Tumor Growth.- Solid Tumor Invasion: The Importance of Cell Adhesion.- Interrelationship of Tumor and Immune System.- Nonlinear Dynamics and Statistical Physics of Models for the Immune System.- Stochastic Model of Influenza Virus Fusion.- Spatio-Temporal Aspects of a Dynamical Disease: Waves of Spreading Depression.- List of contributors.- Color Plates.
to Part I.- A Functional Dynamics Approach to Modelling of Glycolysis.- Temperature-Compensation in Biological Clocks:Models and Experiments.- Metabolic Control Analysis of the ATPase Network in Contracting Muscle:Regulation of Contractile Function and ATP Free Energy Potential.- En Route for Systems Biology: In Silico Pathway Analysis and Metabolite Profiling.- to Part II.- Presynaptic Calcium Dynamics of Neurons in Answer to VariousStimulation Protocols.- Mathematical Modeling of Signaling Cascades: Principles and Future Prospects.- Collective Behavior of Membrane Channels: Electro-physiological Studies on Gap Junctions.- Modelling of Periodic Intercellular Ca2+ Waves.- Travelling Waves as a Mechanism of Pattern Generation in Discrete Cell Lattices.- Design and Operation: Keys to Understanding Biological Systems.- to Part III.- Biopolymer Dynamics.- Micromechanics of Molecular Motors: Experiments and Theory.- The Role of Osteocalcin in the Remodeling of Biomimetic Hydroxyapatite-Collagen Materials for Bone Replacement.- Cell Shape Normalization of Normal and Haploinsufficient NF1-Melanocytes by Micro-Structured Substrate Interaction.- Quantification of Shear Stress-Induced Cell Migration in Endothelial Cultures.- to Part IV.- Constructive and Dynamical Systems Approach to Life.- Coherent Dynamics in Networks of Single Protein Molecules.- Gene Regulatory Networks: A Discrete Model of Dynamics and Topological Evolution.- Evolutionary Reconstruction of Networks.- Modelling Simple Biochemical Networks.- On the Evolution of Information in the Constituents of Regulatory Gene Networks.- to Part V.- Biological Relevance of Tissue Liquidity and Viscoelasticity.- Reinforcement of Cytoskeleton-Matrix Bonds and Tensiotaxis: A Cell-Based Model.- Simulation of Haematopoietic Stem Cell Organisation Using a Single Cell Based Model Approach.- Pattern Formation in an Interacting Cell System: Rippling in Myxobacterial Aggregates.- to Part VI.- Molecular and Cellular Analysis of De Novo Pattern Formation in Hydra.- The Small Freshwater Polyp Hydra as a Model for Axis Formationin Higher Organisms.- Cell Migration, Cell Fate and Pattern Formation During Head Development in Lungfishes and Amphibians.- Cell-Based Modelling of Tissues.- to Part VII.- Cell-Based Models of Avascular Tumor Growth.- Solid Tumor Invasion: The Importance of Cell Adhesion.- Interrelationship of Tumor and Immune System.- Nonlinear Dynamics and Statistical Physics of Models for the Immune System.- Stochastic Model of Influenza Virus Fusion.- Spatio-Temporal Aspects of a Dynamical Disease: Waves of Spreading Depression.- List of contributors.- Color Plates.
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