Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
BIOMAT 2012 : International Symposium on Mathematical and Computational Biology, Tempe, Arizona, USA, 6-10 November 2012 / / edited by Rubem P. Mondaini, Federal University of Rio de Janeiro, Brazil
| BIOMAT 2012 : International Symposium on Mathematical and Computational Biology, Tempe, Arizona, USA, 6-10 November 2012 / / edited by Rubem P. Mondaini, Federal University of Rio de Janeiro, Brazil |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (xii, 393 pages) : illustrations (some color) |
| Disciplina | 570.15118 |
| Collana | Gale eBooks |
| Soggetto topico |
Biology - Mathematical models
Biomathematics Biophysics |
| ISBN | 981-4520-82-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Editorial Board of the BIOMAT Consortium; Professor C.E.M. Pearce - In Memoriam; Mathematical Epidemiology; Compartmental Age of Infection Epidemic Models Fred Brauer; 1. Epidemic models with homogeneous mixing; 1.1. The simple Kermack-McKendrick model; 1.2. Models with disease deaths; 1.3. More complicated epidemic models; 2. The age of infection epidemic model; 2.1. The initial exponential growth rate; 3. Heterogeneous mixing age of infection models; 3.1. The final size relations; 3.2. The initial exponential growth rate; 4. Different models for the same epidemic
ReferencesMathematical Modelling of Infectious Diseases; Lyme Pathogen Transmission in Tick Populations with Multiple Host Species Yijun Lou, Jianhong Wu, Xiaotian Wu; 1. Introduction; 2. The Model and Analysis; 2.1. The Tick Population Dynamics; 2.2. The Global Dynamics; 3. Numerical Simulations; 3.1. Climate Warming Effects; 3.2. Host Diversity Effects; 3.2.1. Effects of Adding Alternative Hosts without Interspecific Host Competition; 3.2.2. Effects of Adding the Alternative Host with Interspecific Host Competition; 3.3. Sensitivity Analysis; 4. Discussion; Acknowledgements; References Quantifying the Risk of Mosquito-Borne Infections Basing on the Equilibrium Prevalence in Humans Marcos Amaku, Francisco A.B. Coutinho, Eduardo Massad1. Introduction; 2. The Model; 3. Estimating Risks; 4. Discussion; Acknowledgments; Conflicts of Interest; References; Seasonal Fluctuation in Tsetse Fly Populations and Human African Trypanosomiasis: A Mathematical Model T. Madsen, D.I. Wallace, N. Zupan; 1. Introduction; 2. Insect population submodel; 2.1. Insect Model Equations; 2.2. Explanation of Equations; 2.3. Temperature Model; 3. Analysis of model 3.1. Instability of the model with constant temperature D3.2. Sufficient insect death leads to stability; 3.3. Variable temperature as a switched system; 4. Numerical results of insect submodel; 4.1. Rogers' model revisited; 5. Sensitivity of the model; 6. Summary of results; References; Modelling Physiological Disorders; A Mathematical Model for the Immunotherapy of Advanced Prostate Cancer Travis Portz, Yang Kuang; 1. Introduction; 2. The Model; 3. Numerical Simulations; 4. Mathematical Analysis; 5. Discussion; Acknowledgements; References Seizure Manifold of the Epileptic Brain: A State Space Reconstruction Approach Mujahid N. Syed, Pando G. Georgiev, Panos M. Pardalos1. Introduction; 2. Review; 2.1. Embedding; 3. Methodology; 3.1. Preprocessing; Filtering Noise; Identifying Stationarity; Identifying Determinism; 3.2. Manifold Generation; Time Delay Embedding; Embedding Dimension; Delay Time; 3.3. Measures of DDS; Fractal Dimension; Lyapunov Exponents; Kolmogorov Entropy; 3.4. Surrogate Tests; Surrogate Data Test 1; Surrogate Data Test 2; Surrogate Data Test 3; 3.5. Low Dimensional Phase Portraits; 4. Seizure Manifold 5. Criticism |
| Record Nr. | UNINA-9910779882203321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
BIOMAT 2012 : International Symposium on Mathematical and Computational Biology, Tempe, Arizona, USA, 6-10 November 2012 / / edited by Rubem P. Mondaini, Federal University of Rio de Janeiro, Brazil
| BIOMAT 2012 : International Symposium on Mathematical and Computational Biology, Tempe, Arizona, USA, 6-10 November 2012 / / edited by Rubem P. Mondaini, Federal University of Rio de Janeiro, Brazil |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (xii, 393 pages) : illustrations (some color) |
| Disciplina | 570.15118 |
| Collana | Gale eBooks |
| Soggetto topico |
Biology - Mathematical models
Biomathematics Biophysics |
| ISBN | 981-4520-82-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Editorial Board of the BIOMAT Consortium; Professor C.E.M. Pearce - In Memoriam; Mathematical Epidemiology; Compartmental Age of Infection Epidemic Models Fred Brauer; 1. Epidemic models with homogeneous mixing; 1.1. The simple Kermack-McKendrick model; 1.2. Models with disease deaths; 1.3. More complicated epidemic models; 2. The age of infection epidemic model; 2.1. The initial exponential growth rate; 3. Heterogeneous mixing age of infection models; 3.1. The final size relations; 3.2. The initial exponential growth rate; 4. Different models for the same epidemic
ReferencesMathematical Modelling of Infectious Diseases; Lyme Pathogen Transmission in Tick Populations with Multiple Host Species Yijun Lou, Jianhong Wu, Xiaotian Wu; 1. Introduction; 2. The Model and Analysis; 2.1. The Tick Population Dynamics; 2.2. The Global Dynamics; 3. Numerical Simulations; 3.1. Climate Warming Effects; 3.2. Host Diversity Effects; 3.2.1. Effects of Adding Alternative Hosts without Interspecific Host Competition; 3.2.2. Effects of Adding the Alternative Host with Interspecific Host Competition; 3.3. Sensitivity Analysis; 4. Discussion; Acknowledgements; References Quantifying the Risk of Mosquito-Borne Infections Basing on the Equilibrium Prevalence in Humans Marcos Amaku, Francisco A.B. Coutinho, Eduardo Massad1. Introduction; 2. The Model; 3. Estimating Risks; 4. Discussion; Acknowledgments; Conflicts of Interest; References; Seasonal Fluctuation in Tsetse Fly Populations and Human African Trypanosomiasis: A Mathematical Model T. Madsen, D.I. Wallace, N. Zupan; 1. Introduction; 2. Insect population submodel; 2.1. Insect Model Equations; 2.2. Explanation of Equations; 2.3. Temperature Model; 3. Analysis of model 3.1. Instability of the model with constant temperature D3.2. Sufficient insect death leads to stability; 3.3. Variable temperature as a switched system; 4. Numerical results of insect submodel; 4.1. Rogers' model revisited; 5. Sensitivity of the model; 6. Summary of results; References; Modelling Physiological Disorders; A Mathematical Model for the Immunotherapy of Advanced Prostate Cancer Travis Portz, Yang Kuang; 1. Introduction; 2. The Model; 3. Numerical Simulations; 4. Mathematical Analysis; 5. Discussion; Acknowledgements; References Seizure Manifold of the Epileptic Brain: A State Space Reconstruction Approach Mujahid N. Syed, Pando G. Georgiev, Panos M. Pardalos1. Introduction; 2. Review; 2.1. Embedding; 3. Methodology; 3.1. Preprocessing; Filtering Noise; Identifying Stationarity; Identifying Determinism; 3.2. Manifold Generation; Time Delay Embedding; Embedding Dimension; Delay Time; 3.3. Measures of DDS; Fractal Dimension; Lyapunov Exponents; Kolmogorov Entropy; 3.4. Surrogate Tests; Surrogate Data Test 1; Surrogate Data Test 2; Surrogate Data Test 3; 3.5. Low Dimensional Phase Portraits; 4. Seizure Manifold 5. Criticism |
| Record Nr. | UNINA-9910823501203321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Trends in biomathematics : chaos and control in epidemics, ecosystems, and cells, selected works from the 20th BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2020 / / edited by Rubem P. Mondaini
| Trends in biomathematics : chaos and control in epidemics, ecosystems, and cells, selected works from the 20th BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2020 / / edited by Rubem P. Mondaini |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (391 pages) |
| Disciplina | 570.15195 |
| Soggetto topico |
Epidemiology - Mathematical models
Biomathematics Epidemiologia Models matemàtics Biomatemàtica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-73241-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Editorial Board of the BIOMAT Consortium -- Contents -- Mathematical Modeling of Macroalgae-Borne Pathogen Transmission in Corals -- 1 Introduction -- 2 The Basic Model -- 3 Equilibria and Their Stability -- 4 Discussion -- References -- Oscillatory Behavior of a Delayed Ratio-Dependent Predator-Prey System with Michaelis-Menten Functional Response -- 1 Introduction -- 2 The System with Delay -- 2.1 Exponential Fading Memory -- 2.2 Memory with a Hump -- 3 The Case of One Prey and Two Predators -- 4 Stability of the Bifurcating Periodic Solution -- References -- Dynamical Analysis of Phytoplankton-Zooplankton Interaction Model by Using Deterministic and Stochastic Approach -- 1 Introduction -- 2 The Mathematical Model -- 3 Some Preliminary Results -- 3.1 Positive Invariance -- 3.2 Equilibria -- 3.2.1 Plankton-Free Equilibrium -- 3.2.2 Plankton-Free Equilibrium -- 3.2.3 Coexistence Equilibrium -- 3.3 Hopf Bifurcation at Coexistence -- 4 The Stochastic Model -- 4.1 Stochastic Stability of the Coexistence Equilibrium -- 5 Numerical Simulations -- 5.1 Effects of N0 -- 5.2 Effects of D -- 5.3 Effects of μ1 -- 5.4 Effects of μ2 -- 5.5 Effects of K -- 5.6 Effects of ρ -- 5.7 Hopf Bifurcation -- 5.8 Environmental Fluctuations -- 6 Discussion -- References -- Predicting the COVID-19 Spread Using Compartmental Model and Extreme Value Theory with Application to Egypt and Iraq -- 1 Introduction -- 2 Methods -- 2.1 Compartmental Model for COVID-19 Transmission -- 2.1.1 Derivation of the Basic Reproduction Number -- 2.2 Return Level Estimation -- 3 Results -- 3.1 Parameter Estimation for Iraq and Egypt -- 3.2 Reproduction Numbers -- 3.3 Prediction of the Second Wave of the COVID-19 Epidemic -- 4 Discussion -- References -- Geometry of Fitness Surfaces and Dynamics of Replicator Systems -- 1 Introduction: Extremum Principles in Evolution.
2 Fitness Landscapes of Replicator Systems -- 2.1 Game-Theoretical Approach and Evolutionary Stable Strategies -- 2.2 Lotka-Volterra System -- References -- In-Host Dynamics of the Human Papillomavirus (HPV) in the Presence of Immune Response -- 1 Introduction -- 2 Model Formulation -- 3 Preliminary Analysis of the HPV Model -- 3.1 Positivity and Boundedness of Solutions -- 4 The Disease-Free Equilibrium and the Reproduction Number R0 -- 4.1 Global Stability Analysis of the Disease-Free Equilibrium -- 4.2 The Endemic Equilibrium -- 4.3 The CTL-Activated Reproduction Number RK -- 5 Sensitivity Analysis of R0. -- 6 Numerical Simulations -- 7 Discussion and Conclusion -- References -- Global Properties and Optimal Control Strategies of a Generalized Ebola Virus Disease Model -- 1 Introduction -- 2 Sensitivity Analysis -- 3 The Model Formulation and Equilibria -- 4 The Optimal Control -- 4.1 Existence of an Optimal Control -- 4.2 Optimality System -- 5 Numerical Simulations -- 6 Conclusion -- References -- On Whole-Graph Embedding Techniques -- 1 Introduction -- 2 Approaches to Whole-Graph Embedding -- 2.1 Graph Kernels -- 2.2 Neural Network- and Deep Learning-Based Embeddings -- 2.3 Matrix Factorization -- 3 Graph Classification with Distribution-Based Measures -- 4 Experimental Results -- 4.1 Data -- 4.1.1 Synthetic Graphs -- 4.1.2 Real Graphs -- 4.2 Empirical Comparison of Methods -- 4.3 Performance Evaluation -- 5 Conclusions -- References -- Semigroup Approaches of Cell Proliferation Models -- 1 Introduction -- 2 Cell Cycle Model with Unequal Division and Random Transition -- 3 Cell Cycle Model with Mutation Accumulation and Telomere Hierarchies -- 4 Cell Cycle Model with Quiescence -- References -- Viability Analysis of Labor Force in an Agroforestry System -- 1 Introduction -- 2 Mathematical Model -- 2.1 Base Model -- 2.2 Modified Model. 2.3 Equilibrium Points -- 3 Viability -- 3.1 Preliminary -- 3.2 Sustainable Thresholds -- 3.2.1 One-Dimensional Case -- 3.2.2 Two-Dimensional Case -- 3.3 Viability: Equilibrium Points -- 4 Results -- 5 Discussion: Key Challenges and Ways Forward -- References -- Modeling Covid-19 Considering Asymptomatic Cases and Avoided Contacts -- 1 Introduction -- 2 Model Formulation -- 2.1 The Mathematical Model -- 2.2 Parameter Values -- 3 Qualitative Analysis of the Model -- 3.1 Basic Reproduction Number R0 -- 3.2 Equilibrium Points and Their Stability -- 4 Numerical Simulations and Biological Interpretation of the Results -- 5 Discussion of the Results -- References -- On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems -- 1 Introduction -- 2 Analysis of the Model -- 2.1 Definitions and Assumptions -- 2.2 Stability of ζ -- 2.3 Stability of the Remaining τ-Periodic Solution -- 2.3.1 Stability of ζf -- 2.3.2 Stability of ζv -- Appendix -- Appendix A1 -- Appendix A2 -- Appendix A3 -- References -- A Jaccard-Like Symbol and Its Usefulness in the Derivation of Amino Acid Distributions in Protein Domain Families -- 1 Introduction -- 2 Saddle Points of the Constrained Lagrangian and Minima of the Euclidean Norm of Its Gradient -- 3 The Meaning of Constraints on the Variational Process for the Derivation of Probabilistic Distributions -- 4 The Jaccard-Like Functional Measure -- 5 A Proposal for Information Measure and the Synergy of the Probabilistic Distributions -- 6 Some Useful Remarks and Planning for Future Work -- References -- When Ideas Go Viral-Complex Bifurcations in a Two-Stage Transmission Model -- 1 Introduction -- 2 Existence and Local Stability of Equilibria -- 3 Numerical Bifurcation Analysis -- 4 Discussion -- Appendix A -- References. Dynamic Analysis of SLIR Model Describing the Effectiveness of Quarantine Against the Spread of COVID-19 -- 1 Introduction -- 2 Positivity and Boundedness of Solutions -- 3 Analysis of the Model -- 3.1 The Basic Reproduction Number -- 3.2 Steady States -- 3.3 Global Stability -- 4 Numerical Simulations -- 5 Conclusion -- References -- Non-FSI 3D Hemodynamic Simulations in Time-Dependent Domains -- 1 Introduction -- 2 Fluid-Structure Interaction -- 3 Navier-Stokes Equations in Time-Dependent Domain -- 4 Multiscale Hemodynamic Model in Compliant Bifurcations -- References -- Co-existence of Chaos and Control in Generalized Lotka-Volterra Biological Model: A Comprehensive Analysis -- 1 Introduction -- 2 Problem Formulation -- 3 Synchronization Theory via Active Control Design -- 4 A Simple Numerical Example -- 5 Numerical Simulations and Discussions -- 6 Conclusion -- References -- Global Dynamics of a Model for Anaerobic Wastewater Treatment Process -- 1 Introduction -- 1.1 Anaerobic Wastewater Treatment Process -- 1.2 Mathematical Models for Anaerobic Wastewater Treatment Process -- 2 Model Formulation -- 3 Global Dynamics -- 4 Numerical Simulations -- 5 Discussion -- References -- Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity -- 1 Introduction -- 2 Global Stability -- 3 Numerical Simulations -- 4 Conclusions -- References -- A 3D Fractional Step Computational Modeling of Nerve Impulse Transmission Through an Axonal Membrane: Incorporating Calcium Buffer and Extrusion -- 1 Introduction and Motivation -- 2 Materials and Methods -- 2.1 Representation of the Computational Domain -- 2.2 Modeling the Nernst-Planck Equation -- 2.3 Modeling the Modified Cable Equation -- 2.4 Calcium Buffer and Extrusion -- 2.5 Initial and Boundary Conditions -- 2.6 Summary of Governing Equations. 2.7 Variational Formulation of the Problem -- 2.8 Numerical Scheme -- 2.8.1 Time Marching Scheme -- 3 Results and Discussion -- 3.1 Numerical Result 1: Electrophysiological Behavior of the Model in Absence of Stimulation -- 3.2 Numerical Result 2: Electrophysiological Validation of the Model -- 3.2.1 Excitability -- 3.2.2 Action Potential Morphology -- 4 Conclusion -- References -- Covid-19 Superspreading Events Network Analysis from Agent-Based Model with Mobility Restriction -- 1 Introduction -- 2 Materials and Methods -- 2.1 Agent-Based Model -- 2.2 Network Analysis -- 3 Results and Discussion -- 4 Conclusions -- References -- Distinct Prognostic Values of BCL2 Anti-apoptotic Members in Lung Cancer: An In-Silico Analysis -- 1 Introduction -- 2 Materials and Methods -- 2.1 Gene Alteration Analysis Through cBioportal -- 2.2 Prognostic Analysis Through KMplotter -- 2.3 miRNA Regulation Analysis Through miRSystem -- 3 Results -- 3.1 Genomic Alterations in Target Genesin Lung Cancer -- 3.2 Distinct Prognostic Values of the Selected BCl2 Anti-apoptotic Members -- 3.2.1 Prognostic Significance of Selected BCL2 Anti-apoptotic Members in All Lung Cancer Patients -- 3.2.2 Prognostic Significance of Selected BCL2 Anti-apoptotic Members in All Lung Cancer Patients with Different Tumor Histology -- 3.2.3 Prognostic Significance of Selected BCL2 Anti-apoptotic Members in All Lung Cancer Patients with Different Smoking History -- 3.3 Potential miRNA Regulators of Selected Target Genes -- 4 Discussion -- References -- Economic Development Process: A Compartmental Analysis of a Model with Two Delays -- 1 Introduction -- 2 The DEA Model -- 3 Basic Results -- 3.1 Positivity and Boundedness of Solutions -- 3.2 Equilibria -- 4 Stability Analysis of the System Without Delays (τ1=τ2=0) -- 4.1 Local Stability Analysis for F1 -- 4.2 Local Stability Analysis for F2. 4.3 Local Stability Analysis for F3. |
| Record Nr. | UNINA-9910495346203321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Trends in biomathematics : chaos and control in epidemics, ecosystems, and cells, selected works from the 20th BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2020 / / edited by Rubem P. Mondaini
| Trends in biomathematics : chaos and control in epidemics, ecosystems, and cells, selected works from the 20th BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2020 / / edited by Rubem P. Mondaini |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (391 pages) |
| Disciplina | 570.15195 |
| Soggetto topico |
Epidemiology - Mathematical models
Biomathematics Epidemiologia Models matemàtics Biomatemàtica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-73241-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Editorial Board of the BIOMAT Consortium -- Contents -- Mathematical Modeling of Macroalgae-Borne Pathogen Transmission in Corals -- 1 Introduction -- 2 The Basic Model -- 3 Equilibria and Their Stability -- 4 Discussion -- References -- Oscillatory Behavior of a Delayed Ratio-Dependent Predator-Prey System with Michaelis-Menten Functional Response -- 1 Introduction -- 2 The System with Delay -- 2.1 Exponential Fading Memory -- 2.2 Memory with a Hump -- 3 The Case of One Prey and Two Predators -- 4 Stability of the Bifurcating Periodic Solution -- References -- Dynamical Analysis of Phytoplankton-Zooplankton Interaction Model by Using Deterministic and Stochastic Approach -- 1 Introduction -- 2 The Mathematical Model -- 3 Some Preliminary Results -- 3.1 Positive Invariance -- 3.2 Equilibria -- 3.2.1 Plankton-Free Equilibrium -- 3.2.2 Plankton-Free Equilibrium -- 3.2.3 Coexistence Equilibrium -- 3.3 Hopf Bifurcation at Coexistence -- 4 The Stochastic Model -- 4.1 Stochastic Stability of the Coexistence Equilibrium -- 5 Numerical Simulations -- 5.1 Effects of N0 -- 5.2 Effects of D -- 5.3 Effects of μ1 -- 5.4 Effects of μ2 -- 5.5 Effects of K -- 5.6 Effects of ρ -- 5.7 Hopf Bifurcation -- 5.8 Environmental Fluctuations -- 6 Discussion -- References -- Predicting the COVID-19 Spread Using Compartmental Model and Extreme Value Theory with Application to Egypt and Iraq -- 1 Introduction -- 2 Methods -- 2.1 Compartmental Model for COVID-19 Transmission -- 2.1.1 Derivation of the Basic Reproduction Number -- 2.2 Return Level Estimation -- 3 Results -- 3.1 Parameter Estimation for Iraq and Egypt -- 3.2 Reproduction Numbers -- 3.3 Prediction of the Second Wave of the COVID-19 Epidemic -- 4 Discussion -- References -- Geometry of Fitness Surfaces and Dynamics of Replicator Systems -- 1 Introduction: Extremum Principles in Evolution.
2 Fitness Landscapes of Replicator Systems -- 2.1 Game-Theoretical Approach and Evolutionary Stable Strategies -- 2.2 Lotka-Volterra System -- References -- In-Host Dynamics of the Human Papillomavirus (HPV) in the Presence of Immune Response -- 1 Introduction -- 2 Model Formulation -- 3 Preliminary Analysis of the HPV Model -- 3.1 Positivity and Boundedness of Solutions -- 4 The Disease-Free Equilibrium and the Reproduction Number R0 -- 4.1 Global Stability Analysis of the Disease-Free Equilibrium -- 4.2 The Endemic Equilibrium -- 4.3 The CTL-Activated Reproduction Number RK -- 5 Sensitivity Analysis of R0. -- 6 Numerical Simulations -- 7 Discussion and Conclusion -- References -- Global Properties and Optimal Control Strategies of a Generalized Ebola Virus Disease Model -- 1 Introduction -- 2 Sensitivity Analysis -- 3 The Model Formulation and Equilibria -- 4 The Optimal Control -- 4.1 Existence of an Optimal Control -- 4.2 Optimality System -- 5 Numerical Simulations -- 6 Conclusion -- References -- On Whole-Graph Embedding Techniques -- 1 Introduction -- 2 Approaches to Whole-Graph Embedding -- 2.1 Graph Kernels -- 2.2 Neural Network- and Deep Learning-Based Embeddings -- 2.3 Matrix Factorization -- 3 Graph Classification with Distribution-Based Measures -- 4 Experimental Results -- 4.1 Data -- 4.1.1 Synthetic Graphs -- 4.1.2 Real Graphs -- 4.2 Empirical Comparison of Methods -- 4.3 Performance Evaluation -- 5 Conclusions -- References -- Semigroup Approaches of Cell Proliferation Models -- 1 Introduction -- 2 Cell Cycle Model with Unequal Division and Random Transition -- 3 Cell Cycle Model with Mutation Accumulation and Telomere Hierarchies -- 4 Cell Cycle Model with Quiescence -- References -- Viability Analysis of Labor Force in an Agroforestry System -- 1 Introduction -- 2 Mathematical Model -- 2.1 Base Model -- 2.2 Modified Model. 2.3 Equilibrium Points -- 3 Viability -- 3.1 Preliminary -- 3.2 Sustainable Thresholds -- 3.2.1 One-Dimensional Case -- 3.2.2 Two-Dimensional Case -- 3.3 Viability: Equilibrium Points -- 4 Results -- 5 Discussion: Key Challenges and Ways Forward -- References -- Modeling Covid-19 Considering Asymptomatic Cases and Avoided Contacts -- 1 Introduction -- 2 Model Formulation -- 2.1 The Mathematical Model -- 2.2 Parameter Values -- 3 Qualitative Analysis of the Model -- 3.1 Basic Reproduction Number R0 -- 3.2 Equilibrium Points and Their Stability -- 4 Numerical Simulations and Biological Interpretation of the Results -- 5 Discussion of the Results -- References -- On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems -- 1 Introduction -- 2 Analysis of the Model -- 2.1 Definitions and Assumptions -- 2.2 Stability of ζ -- 2.3 Stability of the Remaining τ-Periodic Solution -- 2.3.1 Stability of ζf -- 2.3.2 Stability of ζv -- Appendix -- Appendix A1 -- Appendix A2 -- Appendix A3 -- References -- A Jaccard-Like Symbol and Its Usefulness in the Derivation of Amino Acid Distributions in Protein Domain Families -- 1 Introduction -- 2 Saddle Points of the Constrained Lagrangian and Minima of the Euclidean Norm of Its Gradient -- 3 The Meaning of Constraints on the Variational Process for the Derivation of Probabilistic Distributions -- 4 The Jaccard-Like Functional Measure -- 5 A Proposal for Information Measure and the Synergy of the Probabilistic Distributions -- 6 Some Useful Remarks and Planning for Future Work -- References -- When Ideas Go Viral-Complex Bifurcations in a Two-Stage Transmission Model -- 1 Introduction -- 2 Existence and Local Stability of Equilibria -- 3 Numerical Bifurcation Analysis -- 4 Discussion -- Appendix A -- References. Dynamic Analysis of SLIR Model Describing the Effectiveness of Quarantine Against the Spread of COVID-19 -- 1 Introduction -- 2 Positivity and Boundedness of Solutions -- 3 Analysis of the Model -- 3.1 The Basic Reproduction Number -- 3.2 Steady States -- 3.3 Global Stability -- 4 Numerical Simulations -- 5 Conclusion -- References -- Non-FSI 3D Hemodynamic Simulations in Time-Dependent Domains -- 1 Introduction -- 2 Fluid-Structure Interaction -- 3 Navier-Stokes Equations in Time-Dependent Domain -- 4 Multiscale Hemodynamic Model in Compliant Bifurcations -- References -- Co-existence of Chaos and Control in Generalized Lotka-Volterra Biological Model: A Comprehensive Analysis -- 1 Introduction -- 2 Problem Formulation -- 3 Synchronization Theory via Active Control Design -- 4 A Simple Numerical Example -- 5 Numerical Simulations and Discussions -- 6 Conclusion -- References -- Global Dynamics of a Model for Anaerobic Wastewater Treatment Process -- 1 Introduction -- 1.1 Anaerobic Wastewater Treatment Process -- 1.2 Mathematical Models for Anaerobic Wastewater Treatment Process -- 2 Model Formulation -- 3 Global Dynamics -- 4 Numerical Simulations -- 5 Discussion -- References -- Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity -- 1 Introduction -- 2 Global Stability -- 3 Numerical Simulations -- 4 Conclusions -- References -- A 3D Fractional Step Computational Modeling of Nerve Impulse Transmission Through an Axonal Membrane: Incorporating Calcium Buffer and Extrusion -- 1 Introduction and Motivation -- 2 Materials and Methods -- 2.1 Representation of the Computational Domain -- 2.2 Modeling the Nernst-Planck Equation -- 2.3 Modeling the Modified Cable Equation -- 2.4 Calcium Buffer and Extrusion -- 2.5 Initial and Boundary Conditions -- 2.6 Summary of Governing Equations. 2.7 Variational Formulation of the Problem -- 2.8 Numerical Scheme -- 2.8.1 Time Marching Scheme -- 3 Results and Discussion -- 3.1 Numerical Result 1: Electrophysiological Behavior of the Model in Absence of Stimulation -- 3.2 Numerical Result 2: Electrophysiological Validation of the Model -- 3.2.1 Excitability -- 3.2.2 Action Potential Morphology -- 4 Conclusion -- References -- Covid-19 Superspreading Events Network Analysis from Agent-Based Model with Mobility Restriction -- 1 Introduction -- 2 Materials and Methods -- 2.1 Agent-Based Model -- 2.2 Network Analysis -- 3 Results and Discussion -- 4 Conclusions -- References -- Distinct Prognostic Values of BCL2 Anti-apoptotic Members in Lung Cancer: An In-Silico Analysis -- 1 Introduction -- 2 Materials and Methods -- 2.1 Gene Alteration Analysis Through cBioportal -- 2.2 Prognostic Analysis Through KMplotter -- 2.3 miRNA Regulation Analysis Through miRSystem -- 3 Results -- 3.1 Genomic Alterations in Target Genesin Lung Cancer -- 3.2 Distinct Prognostic Values of the Selected BCl2 Anti-apoptotic Members -- 3.2.1 Prognostic Significance of Selected BCL2 Anti-apoptotic Members in All Lung Cancer Patients -- 3.2.2 Prognostic Significance of Selected BCL2 Anti-apoptotic Members in All Lung Cancer Patients with Different Tumor Histology -- 3.2.3 Prognostic Significance of Selected BCL2 Anti-apoptotic Members in All Lung Cancer Patients with Different Smoking History -- 3.3 Potential miRNA Regulators of Selected Target Genes -- 4 Discussion -- References -- Economic Development Process: A Compartmental Analysis of a Model with Two Delays -- 1 Introduction -- 2 The DEA Model -- 3 Basic Results -- 3.1 Positivity and Boundedness of Solutions -- 3.2 Equilibria -- 4 Stability Analysis of the System Without Delays (τ1=τ2=0) -- 4.1 Local Stability Analysis for F1 -- 4.2 Local Stability Analysis for F2. 4.3 Local Stability Analysis for F3. |
| Record Nr. | UNISA-996466387803316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics : Selected Works from the BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2022 / / edited by Rubem P. Mondaini
| Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics : Selected Works from the BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2022 / / edited by Rubem P. Mondaini |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (394 pages) |
| Disciplina |
170
570.151 |
| Soggetto topico |
Biomathematics
Epidemiology Population biology Mathematical and Computational Biology Population Dynamics Biomatemàtica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-031-33050-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Dynamics of an SIS Epidemic Model with no Vertical Transmission -- Infection Spread in Populations: An Agent Based Model -- Network-based Computational Modeling to unravel Gene Essentiality -- Nonlinear Dynamics in an SIR model with Ratio-Dependent Incidence and Holling type III Treatment Rate Functions -- Comparative Study of Deterministic and Stochastic Predator Prey System incorporating a Prey Refuge -- Mathematical Modeling and Numerical Analysis of HIV-1 Infection with long-lived infected cells during Combination Therapy and Humoral Immunity -- A Reaction-Diffusion Fractional Model for Cancer Virotherapy with Immune Response and Hattaf Time-Fractional Derivative -- A Review of Stochastic Models of Neuronal Dynamics: From a Single Neuron to Networks -- Modeling the Impact of Media Coverage on the Spread of Infectious Diseases: The curse of 21st Century -- Cultural and Biological Transmission: A Simple Case of Evolutionary Discrete Dynamics -- The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures – II -- An Eco-epidemic Predator-Prey Model with Selective Predation and Time Delays -- Epidemic Patterns of Emerging Variants with Dynamical Social Distancing -- On Time-delayed Two-strain Epidemic Model with General Incidence Rates and Therapy -- Clustering of Countries based on the Associated Social Contact Patterns in Epidemiological Modelling -- Multiple Predation on Prey Herding and Counteracting the Hunting -- Benefits of Application of Process Optimization in Pharmaceutical Manufacturing — A Panoramic View -- AWeb-based Non-invasive Estimation of Fractional Flow Reserve (FFR): Models, Algorithms and Application in Diagnostics -- Perturbing Coupled Multi-variable Systems -- Analysis of Covid-19 dynamics in Brazil by recursive state and parameter estimations -- Computational Modeling of Membrane Blockage via Precipitation: a 2D Extended Poisson-Nernst-Planck Model -- Index. |
| Record Nr. | UNINA-9910735790903321 |
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Trends in biomathematics: stability and oscillations in environmental, social, and biological models : selected works from the BIOMAT consortium lectures, Rio de Janeiro, Brazil, 2021 / / Rubem P. Mondaini, editor
| Trends in biomathematics: stability and oscillations in environmental, social, and biological models : selected works from the BIOMAT consortium lectures, Rio de Janeiro, Brazil, 2021 / / Rubem P. Mondaini, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (421 pages) |
| Disciplina | 570.15195 |
| Soggetto topico |
Biology - Mathematical models
Biomathematics Biomatemàtica Biologia Models matemàtics |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN |
9783031125157
9783031125140 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Editorial Board of the BIOMAT Consortium -- Contents -- Whole-Graph Embedding and Adversarial Attacks for Life Sciences -- 1 Introduction -- 2 Whole-Graph Embedding -- 2.1 Approaches to Whole-Graph Embedding -- 2.1.1 Direct Methods -- 2.1.2 Kernel Methods -- 2.1.3 Neural Network Methods -- 2.1.4 Statistical and Spectral Representations -- 3 Adversarial Attacks for Graphs -- 3.1 Taxonomies for Adversarial Attacks -- 3.2 Adversarial Attack Methods for Graph-Level Tasks -- 4 Adversarial Attacks to Whole-Graph Embedding Methods for Graph Classification -- 5 Experimental Results -- 5.1 Datasets -- 5.2 Implementation Details -- 5.3 Performance Results -- 6 Conclusions and Future Work -- Appendix -- References -- Photochemical Scheme for Reversibly Photoswitchable Fluorescent Proteins Used in Biological Imaging -- 1 Introduction -- 2 Seven-State Photoswitching Mechanism in the 1 s-1 s Time Window -- 3 Elimination of the Excited States: The Four-State Mechanism -- 4 Illumination Protocol α -- 4.1 Low Intensity I1: Regime αl -- 4.2 High Intensity I1: Regime αh -- 5 Illumination Protocol β -- 5.1 Low Intensity I2: Regime βl -- 5.2 High Intensity I2: Regime βh -- 6 Comparison of Experiments Involving the RSFP Dronpa-2 with the Predictions of the Reduced Mechanisms -- 7 Conclusion -- Appendix 1: The Steady-State Approximation -- Appendix 2: Fluorescence Evolution in a Two-State Mechanism -- References -- Probability Distributions of p53 Mutations and Their Corresponding Shannon Entropies in Different Cancer Cell Types -- 1 Introduction -- 2 Methodology -- 3 Results and Discussion -- 4 Conclusions -- Appendix -- References -- Oscillations in Biological Systems -- 1 Introduction -- 2 Bifurcation of Rotating Waves -- 2.1 The Linearized Problem -- 2.2 The Nonlinear Problem -- 3 Periodic Solutions of Reaction-Diffusion Systems.
3.1 Bifurcation of Time-Periodic Patterns -- References -- Implementation of the Functional Response in Marine Ecosystem: A State-of-the-Art Plankton Model -- 1 Introduction -- 2 The Mathematical Model -- 3 Some Preliminary Results -- 3.1 Positive Invariance -- 3.2 Equilibria -- 3.2.1 Plankton Free Equilibrium -- 3.2.2 Zooplankton Free Equilibrium -- 3.2.3 Fish Free Equilibrium -- 3.2.4 Coexistence Equilibrium -- 3.3 Hopf Bifurcation at Coexistence -- 4 The Stochastic Model -- 4.1 Stochastic Stability of the Coexistence Equilibrium -- 5 Numerical Simulations -- 5.1 Effects of n -- 5.2 Effects of m -- 5.3 Effects of r -- 5.4 Effects of h -- 5.5 Hopf-Bifurcation -- 5.6 Environmental Fluctuations -- 6 Discussion -- References -- Optimal Drug Therapy in a Multi-Pathways HIV-1 Infection Model with Immune Response Delay -- 1 Introduction -- 2 Preliminary Results -- 2.1 Existence and Uniqueness of Solution -- 3 Model Analysis with Fixed Controls -- 3.1 Basic Reproduction Number -- 3.2 Equilibria of the System -- 3.3 Stability of the Equilibrium Points -- 3.4 Simulation Results -- 4 The Optimal Control Problem -- 4.1 Existence of an Optimal Control Triplet -- 4.2 Simulation Results -- 4.2.1 Mono-Drug Therapy -- 4.2.2 Multi-Drug Therapy -- 5 Discussion -- References -- Mathematical Models of Acoustically Induced Vaporization of Encapsulated Nanodroplets -- 1 Introduction -- 2 Modelling -- 2.1 Evolution of Bubble Radius Over Time -- 2.2 Pressure Contributions -- 2.3 Temperature Profile -- 2.3.1 Bubble Surface Temperature -- 2.3.2 Temperature Within the Inner and Outer Liquids -- 2.4 Shell Contribution -- 3 Numerical Implementation -- 4 Preliminary Results -- 4.1 Parameters -- 5 Conclusion -- References -- Existence of Closed Trajectories in Lotka-Volterra Systems in R+n -- 1 Introduction -- References. Asymptotic Stability Analysis for Chaotic Predator-Prey Model via Active Controlled Hybrid Compound Difference Synchronization Strategy -- 1 Introduction -- 2 Mathematical Preliminaries -- 3 Asymptotic Stability Analysis via ACS -- 4 A Numerical Example -- 5 Numerical Simulations and Discussions -- 5.1 A Comparative Study -- 6 Conclusion -- References -- Modeling Competition in Motionless Populations -- 1 Introduction -- 2 The Single Population Case -- 3 The Competing Sessile Populations Model -- 4 Mobile and Sessile Populations Interactions -- 4.1 Equilibria -- 4.2 Stability -- 5 Two Sessile Populations Interactions -- 5.1 Equilibria -- 5.2 Stability -- 6 Discussion and Conclusions -- 6.1 Sessile vs Mobile Species Competition -- 6.2 The Intra- and Interspecific Competition Effect for Nullclines -- 6.3 The Intra- and Interspecific Interaction and Coexistence Equilibria -- 6.4 Varying Intra- Specific Competition Coefficients for Fixed Values of Interspecific Competition Coefficients -- 6.5 Inter-Specific Competition -- References -- Mathematic Analysis of a SIHV COVID-19 Pandemic Model Taking Into Account a Vaccination Strategy -- 1 Introduction -- 2 Positivity and Boundedness of Solutions -- 3 Steady States and Local Stability -- 3.1 Basic Reproduction Number -- 3.2 Steady States -- 3.3 Local Stability -- 3.3.1 Local Stability of the Disease-Free Equilibrium -- 3.3.2 Local Stability of the Endemic Equilibrium -- 4 Numerical Simulations -- 4.1 Application to Morocco COVID-19 Clinical Data -- 4.2 The Effect of the Vaccination Strategy on COVID-19 Pandemic Spread -- 5 Discussion and Conclusion -- References -- Derivation of Macroscopic Equations from Homogeneous Thermostatted Kinetic Equations in the Cancer-Immune System Competition -- 1 Introduction -- 2 Model at Cell Scale -- 2.1 Thermostatted Kinetic Framework -- 2.2 Macroscopic Equations. 3 Results -- 4 Conclusion -- References -- Oscillations in a System Modelling Somite Formation -- 1 Introduction -- 2 The Model -- 3 The Kinetic System -- 4 The Parabolic System -- References -- Socio-Ecological Dynamics Generated by Hydrocarbon Exploration -- 1 Introduction -- 2 System Modeling -- 2.1 Causal Diagram -- 2.2 Forrester Diagram -- 3 Scenarios Assessment -- 3.1 Scenario 1: Pristine Landscape -- 3.2 Scenario 2: Agricultural Landscape -- 3.3 Scenario 3: Landscape of Licit and Illicit Crops -- 4 Conclusions -- References -- The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures -- 1 Introduction -- 2 The Sharma-Mittal Class of Entropy Measures -- 3 The Maximal Extension of the Strict Concavity Region in the Parameter Space of Sharma-Mittal (SM) Entropy Measures -- 4 An Example of Systematic Derivation of σk(s) Curves from Data Obtained from the Alignement of Protein Domains -- 5 Concluding Remarks -- Appendix 1: The Construction and Properties of the Probabilistic Space -- Appendix 2: The Origin of the Generalized Khinchin-Shannon Inequalities -- References -- Computational Modeling of Cancer Response to Oncolytic Virotherapy: Improving the Effectiveness of Viral Spread and Anti Tumor Efficacy -- 1 Introduction -- 2 Mathematical Model -- 2.1 Dimensionless Form -- 3 Finite Element Scheme -- 3.1 Variational Formulation -- 3.2 Discrete Problem -- 3.2.1 Temporal Discretization -- 3.2.2 Numerical Scheme -- 4 Numerical Simulation and Results -- 5 Conclusion -- Reference -- Propensity Matrix Method for Age Dependent Stochastic Infectious Disease Models -- 1 Introduction -- 1.1 Gillespie's Stochastic Simulation Algorithms -- 1.1.1 The Direct Method Algorithm -- 1.2 Gillespie's Algorithm for the SIR Model -- 2 The Propensity Matrix Method for Age Dependent Stochastic Epidemic Models. 2.1 Algorithm Propensity Matrix Method -- 2.2 The Age Structured SIR Model with Waning Immunity -- 2.3 SEIRD Model with Age Structure and Waning Immunity -- 3 Updating the Propensities -- 3.1 Propensity Matrix Method Extended with the Update Graph -- 4 Experiments -- 5 Summary and Discussion -- References -- Modeling the Insect-Vectors-Mediated Phytoplasm Transmission in Agroecosystems -- 1 Introduction -- 2 The Model Incorporating the Farmer's Behavior -- 2.1 Model Assumptions -- 2.2 Model Setup -- 2.3 Equilibria Analysis -- 2.3.1 The Insect-Only Subsystem -- 2.3.2 The Complete Model -- 2.4 Local Stability Analysis -- 3 The Model with Variable Plant Population -- 3.1 Equilibria Feasibility -- 3.2 Equilibria Stability -- 4 The Effector Protein Action on the Agroecosystem -- References -- An Interdisciplinary Model-Based Study on Emerging Infectious Disease: The Curse of Twenty-First Century -- 1 Introduction -- 2 Literature Review -- 3 Basic Assumptions and Model Formulation -- 4 Some Preliminary Results -- 4.1 Equilibria -- 4.1.1 Disease Free Equilibrium -- 4.1.2 Endemic Equilibrium -- 4.2 Hopf Bifurcation at Coexistence -- 5 Numerical Simulations -- 6 Discussion -- References -- Effect of Incubation Delay in an SIRS Model: Hopf Bifurcation and Stability Switch -- 1 Introduction -- 2 Model Mathematical Form -- 2.1 Positivity and Boundedness -- 2.2 Existence of Equilibrium Point -- 3 Stability Analysis -- 3.1 Existence of Hopf Bifurcation and Switch of Stability Property -- 4 Numerical Observation -- 5 Conclusion -- References -- Modelling the Role of TV and Internet Coverage on Mitigating the Spread of Infectious Diseases -- 1 Introduction -- 2 Model Formulation -- 2.1 Basic Properties -- 2.2 Positivity of Solutions -- 3 Equilibrium Analysis -- 3.1 Basic Reproduction Number -- 3.2 Feasibility of the Endemic Equilibrium -- 4 Local Stability Analysis. 5 Existence of Transcritical Bifurcation. |
| Record Nr. | UNINA-9910637724703321 |
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Trends in biomathematics: stability and oscillations in environmental, social, and biological models : selected works from the BIOMAT consortium lectures, Rio de Janeiro, Brazil, 2021 / / Rubem P. Mondaini, editor
| Trends in biomathematics: stability and oscillations in environmental, social, and biological models : selected works from the BIOMAT consortium lectures, Rio de Janeiro, Brazil, 2021 / / Rubem P. Mondaini, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (421 pages) |
| Disciplina | 570.15195 |
| Soggetto topico |
Biology - Mathematical models
Biomathematics Biomatemàtica Biologia Models matemàtics |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN |
9783031125157
9783031125140 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Editorial Board of the BIOMAT Consortium -- Contents -- Whole-Graph Embedding and Adversarial Attacks for Life Sciences -- 1 Introduction -- 2 Whole-Graph Embedding -- 2.1 Approaches to Whole-Graph Embedding -- 2.1.1 Direct Methods -- 2.1.2 Kernel Methods -- 2.1.3 Neural Network Methods -- 2.1.4 Statistical and Spectral Representations -- 3 Adversarial Attacks for Graphs -- 3.1 Taxonomies for Adversarial Attacks -- 3.2 Adversarial Attack Methods for Graph-Level Tasks -- 4 Adversarial Attacks to Whole-Graph Embedding Methods for Graph Classification -- 5 Experimental Results -- 5.1 Datasets -- 5.2 Implementation Details -- 5.3 Performance Results -- 6 Conclusions and Future Work -- Appendix -- References -- Photochemical Scheme for Reversibly Photoswitchable Fluorescent Proteins Used in Biological Imaging -- 1 Introduction -- 2 Seven-State Photoswitching Mechanism in the 1 s-1 s Time Window -- 3 Elimination of the Excited States: The Four-State Mechanism -- 4 Illumination Protocol α -- 4.1 Low Intensity I1: Regime αl -- 4.2 High Intensity I1: Regime αh -- 5 Illumination Protocol β -- 5.1 Low Intensity I2: Regime βl -- 5.2 High Intensity I2: Regime βh -- 6 Comparison of Experiments Involving the RSFP Dronpa-2 with the Predictions of the Reduced Mechanisms -- 7 Conclusion -- Appendix 1: The Steady-State Approximation -- Appendix 2: Fluorescence Evolution in a Two-State Mechanism -- References -- Probability Distributions of p53 Mutations and Their Corresponding Shannon Entropies in Different Cancer Cell Types -- 1 Introduction -- 2 Methodology -- 3 Results and Discussion -- 4 Conclusions -- Appendix -- References -- Oscillations in Biological Systems -- 1 Introduction -- 2 Bifurcation of Rotating Waves -- 2.1 The Linearized Problem -- 2.2 The Nonlinear Problem -- 3 Periodic Solutions of Reaction-Diffusion Systems.
3.1 Bifurcation of Time-Periodic Patterns -- References -- Implementation of the Functional Response in Marine Ecosystem: A State-of-the-Art Plankton Model -- 1 Introduction -- 2 The Mathematical Model -- 3 Some Preliminary Results -- 3.1 Positive Invariance -- 3.2 Equilibria -- 3.2.1 Plankton Free Equilibrium -- 3.2.2 Zooplankton Free Equilibrium -- 3.2.3 Fish Free Equilibrium -- 3.2.4 Coexistence Equilibrium -- 3.3 Hopf Bifurcation at Coexistence -- 4 The Stochastic Model -- 4.1 Stochastic Stability of the Coexistence Equilibrium -- 5 Numerical Simulations -- 5.1 Effects of n -- 5.2 Effects of m -- 5.3 Effects of r -- 5.4 Effects of h -- 5.5 Hopf-Bifurcation -- 5.6 Environmental Fluctuations -- 6 Discussion -- References -- Optimal Drug Therapy in a Multi-Pathways HIV-1 Infection Model with Immune Response Delay -- 1 Introduction -- 2 Preliminary Results -- 2.1 Existence and Uniqueness of Solution -- 3 Model Analysis with Fixed Controls -- 3.1 Basic Reproduction Number -- 3.2 Equilibria of the System -- 3.3 Stability of the Equilibrium Points -- 3.4 Simulation Results -- 4 The Optimal Control Problem -- 4.1 Existence of an Optimal Control Triplet -- 4.2 Simulation Results -- 4.2.1 Mono-Drug Therapy -- 4.2.2 Multi-Drug Therapy -- 5 Discussion -- References -- Mathematical Models of Acoustically Induced Vaporization of Encapsulated Nanodroplets -- 1 Introduction -- 2 Modelling -- 2.1 Evolution of Bubble Radius Over Time -- 2.2 Pressure Contributions -- 2.3 Temperature Profile -- 2.3.1 Bubble Surface Temperature -- 2.3.2 Temperature Within the Inner and Outer Liquids -- 2.4 Shell Contribution -- 3 Numerical Implementation -- 4 Preliminary Results -- 4.1 Parameters -- 5 Conclusion -- References -- Existence of Closed Trajectories in Lotka-Volterra Systems in R+n -- 1 Introduction -- References. Asymptotic Stability Analysis for Chaotic Predator-Prey Model via Active Controlled Hybrid Compound Difference Synchronization Strategy -- 1 Introduction -- 2 Mathematical Preliminaries -- 3 Asymptotic Stability Analysis via ACS -- 4 A Numerical Example -- 5 Numerical Simulations and Discussions -- 5.1 A Comparative Study -- 6 Conclusion -- References -- Modeling Competition in Motionless Populations -- 1 Introduction -- 2 The Single Population Case -- 3 The Competing Sessile Populations Model -- 4 Mobile and Sessile Populations Interactions -- 4.1 Equilibria -- 4.2 Stability -- 5 Two Sessile Populations Interactions -- 5.1 Equilibria -- 5.2 Stability -- 6 Discussion and Conclusions -- 6.1 Sessile vs Mobile Species Competition -- 6.2 The Intra- and Interspecific Competition Effect for Nullclines -- 6.3 The Intra- and Interspecific Interaction and Coexistence Equilibria -- 6.4 Varying Intra- Specific Competition Coefficients for Fixed Values of Interspecific Competition Coefficients -- 6.5 Inter-Specific Competition -- References -- Mathematic Analysis of a SIHV COVID-19 Pandemic Model Taking Into Account a Vaccination Strategy -- 1 Introduction -- 2 Positivity and Boundedness of Solutions -- 3 Steady States and Local Stability -- 3.1 Basic Reproduction Number -- 3.2 Steady States -- 3.3 Local Stability -- 3.3.1 Local Stability of the Disease-Free Equilibrium -- 3.3.2 Local Stability of the Endemic Equilibrium -- 4 Numerical Simulations -- 4.1 Application to Morocco COVID-19 Clinical Data -- 4.2 The Effect of the Vaccination Strategy on COVID-19 Pandemic Spread -- 5 Discussion and Conclusion -- References -- Derivation of Macroscopic Equations from Homogeneous Thermostatted Kinetic Equations in the Cancer-Immune System Competition -- 1 Introduction -- 2 Model at Cell Scale -- 2.1 Thermostatted Kinetic Framework -- 2.2 Macroscopic Equations. 3 Results -- 4 Conclusion -- References -- Oscillations in a System Modelling Somite Formation -- 1 Introduction -- 2 The Model -- 3 The Kinetic System -- 4 The Parabolic System -- References -- Socio-Ecological Dynamics Generated by Hydrocarbon Exploration -- 1 Introduction -- 2 System Modeling -- 2.1 Causal Diagram -- 2.2 Forrester Diagram -- 3 Scenarios Assessment -- 3.1 Scenario 1: Pristine Landscape -- 3.2 Scenario 2: Agricultural Landscape -- 3.3 Scenario 3: Landscape of Licit and Illicit Crops -- 4 Conclusions -- References -- The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures -- 1 Introduction -- 2 The Sharma-Mittal Class of Entropy Measures -- 3 The Maximal Extension of the Strict Concavity Region in the Parameter Space of Sharma-Mittal (SM) Entropy Measures -- 4 An Example of Systematic Derivation of σk(s) Curves from Data Obtained from the Alignement of Protein Domains -- 5 Concluding Remarks -- Appendix 1: The Construction and Properties of the Probabilistic Space -- Appendix 2: The Origin of the Generalized Khinchin-Shannon Inequalities -- References -- Computational Modeling of Cancer Response to Oncolytic Virotherapy: Improving the Effectiveness of Viral Spread and Anti Tumor Efficacy -- 1 Introduction -- 2 Mathematical Model -- 2.1 Dimensionless Form -- 3 Finite Element Scheme -- 3.1 Variational Formulation -- 3.2 Discrete Problem -- 3.2.1 Temporal Discretization -- 3.2.2 Numerical Scheme -- 4 Numerical Simulation and Results -- 5 Conclusion -- Reference -- Propensity Matrix Method for Age Dependent Stochastic Infectious Disease Models -- 1 Introduction -- 1.1 Gillespie's Stochastic Simulation Algorithms -- 1.1.1 The Direct Method Algorithm -- 1.2 Gillespie's Algorithm for the SIR Model -- 2 The Propensity Matrix Method for Age Dependent Stochastic Epidemic Models. 2.1 Algorithm Propensity Matrix Method -- 2.2 The Age Structured SIR Model with Waning Immunity -- 2.3 SEIRD Model with Age Structure and Waning Immunity -- 3 Updating the Propensities -- 3.1 Propensity Matrix Method Extended with the Update Graph -- 4 Experiments -- 5 Summary and Discussion -- References -- Modeling the Insect-Vectors-Mediated Phytoplasm Transmission in Agroecosystems -- 1 Introduction -- 2 The Model Incorporating the Farmer's Behavior -- 2.1 Model Assumptions -- 2.2 Model Setup -- 2.3 Equilibria Analysis -- 2.3.1 The Insect-Only Subsystem -- 2.3.2 The Complete Model -- 2.4 Local Stability Analysis -- 3 The Model with Variable Plant Population -- 3.1 Equilibria Feasibility -- 3.2 Equilibria Stability -- 4 The Effector Protein Action on the Agroecosystem -- References -- An Interdisciplinary Model-Based Study on Emerging Infectious Disease: The Curse of Twenty-First Century -- 1 Introduction -- 2 Literature Review -- 3 Basic Assumptions and Model Formulation -- 4 Some Preliminary Results -- 4.1 Equilibria -- 4.1.1 Disease Free Equilibrium -- 4.1.2 Endemic Equilibrium -- 4.2 Hopf Bifurcation at Coexistence -- 5 Numerical Simulations -- 6 Discussion -- References -- Effect of Incubation Delay in an SIRS Model: Hopf Bifurcation and Stability Switch -- 1 Introduction -- 2 Model Mathematical Form -- 2.1 Positivity and Boundedness -- 2.2 Existence of Equilibrium Point -- 3 Stability Analysis -- 3.1 Existence of Hopf Bifurcation and Switch of Stability Property -- 4 Numerical Observation -- 5 Conclusion -- References -- Modelling the Role of TV and Internet Coverage on Mitigating the Spread of Infectious Diseases -- 1 Introduction -- 2 Model Formulation -- 2.1 Basic Properties -- 2.2 Positivity of Solutions -- 3 Equilibrium Analysis -- 3.1 Basic Reproduction Number -- 3.2 Feasibility of the Endemic Equilibrium -- 4 Local Stability Analysis. 5 Existence of Transcritical Bifurcation. |
| Record Nr. | UNISA-996503549303316 |
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||