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[null,"1.","Record Nr.",null,"UNINA9910865241703321"]
[null,null,"Autore",null,"Agarwal Ritu"]
[null,null,"Titolo",null,"Modeling Calcium Signaling : A Fractional Perspective"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer, , 2024"]
[{"$nulls":4},"©2024"]
[null,null,"ISBN",null,"9789819716517"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (86 pages)"]
[null,null,"Collana",null,"SpringerBriefs in Biochemistry and Molecular Biology Series"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"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 "]
[{"$nulls":4},"Equation of the Model -- 4.6 Discussion -- References."]