Modeling Calcium Signaling : A Fractional Perspective

• Autore: Agarwal Ritu
• Pubblicazione: Singapore : , : Springer, , 2024; ©2024
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (86 pages)
• Altri autori: PurohitSunil Dutt Kritika
• Nota di contenuto: Intro -- Preface -- Acknowledgements -- Contents -- 1 Introduction to Fractional Calculus and Modelling -- 1.1 Fractional Calculus -- 1.2 Fractional Operators -- 1.2.1 Spaces -- 1.2.2 Riemann-Liouville Fractional Operator -- 1.2.3 Caputo Fractional Operator -- 1.2.4 Hilfer Derivative -- 1.2.5 Caputo-Fabrizio Fractional Operator -- 1.2.6 Conformable Operator -- 1.2.7 Fractal Derivative -- 1.3 Integral Transforms -- 1.3.1 Laplace Transform -- 1.3.2 Fourier Transform -- 1.4 Mittag-Leffler Function -- 1.5 Methods for Solving Differential Equations -- 1.5.1 Perturbation Iterative Method -- 1.5.2 Crank-Nicolson Method -- 1.5.3 Fractional Homotopy Analysis Transform Method -- 1.6 Modeling of Biological Phenomenon -- References -- 2 Cytosolic Calcium Distribution and Thrombin Receptor Activation -- 2.1 Calcium Homeostasis Mechanism -- 2.1.1 Thrombin Receptor Activation in Calcium Signaling -- 2.2 Review of Calcium Models in Literature -- 2.3 Mathematical Models -- 2.3.1 Model 1: Receptor Activation Model -- 2.3.2 Model 2: Cytosolic Calcium Distribution Model -- 2.3.3 Model 3: Calcium Distribution Model Fractionalized Using Caputo-Fabrizio Operator -- 2.4 Discussion -- References -- 3 Effects of Buffers Over the Cytosolic Calcium Concentration -- 3.1 Calcium as Messenger and Buffering -- 3.2 Review of Calcium Buffering Models in Literature -- 3.3 Calcium Buffering Model -- 3.4 Discussion -- References -- 4 Anomalous Subdiffusive Behavior of Cytosolic Calcium -- 4.1 Cytosolic Calcium -- 4.2 Anomalous Diffusive Behavior of Cytosolic Calcium -- 4.3 Mathematical Formulation of the Model -- 4.4 Numerical Approximation of the Conformable-Fractal Equation of the Model -- 4.5 Numerical Approximation of the Fractal-Fractional Equation of the Model -- 4.6 Discussion -- References.
• Titolo autorizzato: Modeling Calcium Signaling
• ISBN: 9789819716517
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910865241703321
• Lo trovi qui: Univ. Federico II
• Serie: SpringerBriefs in Biochemistry and Molecular Biology Series