LEADER 02948nam 22003973 450 001 9910865241703321 005 20240621080231.0 010 $a9789819716517 035 $a(CKB)32317357600041 035 $a(MiAaPQ)EBC31496610 035 $a(Au-PeEL)EBL31496610 035 $a(EXLCZ)9932317357600041 100 $a20240621d2024 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModeling Calcium Signaling $eA Fractional Perspective 205 $a1st ed. 210 1$aSingapore :$cSpringer,$d2024. 210 4$dİ2024. 215 $a1 online resource (86 pages) 225 1 $aSpringerBriefs in Biochemistry and Molecular Biology Series 311 08$a9789819716500 327 $aIntro -- Preface -- Acknowledgements -- Contents -- 1 Introduction to Fractional Calculus and Modelling -- 1.1 Fractional Calculus -- 1.2 Fractional Operators -- 1.2.1 Spaces -- 1.2.2 Riemann-Liouville Fractional Operator -- 1.2.3 Caputo Fractional Operator -- 1.2.4 Hilfer Derivative -- 1.2.5 Caputo-Fabrizio Fractional Operator -- 1.2.6 Conformable Operator -- 1.2.7 Fractal Derivative -- 1.3 Integral Transforms -- 1.3.1 Laplace Transform -- 1.3.2 Fourier Transform -- 1.4 Mittag-Leffler Function -- 1.5 Methods for Solving Differential Equations -- 1.5.1 Perturbation Iterative Method -- 1.5.2 Crank-Nicolson Method -- 1.5.3 Fractional Homotopy Analysis Transform Method -- 1.6 Modeling of Biological Phenomenon -- References -- 2 Cytosolic Calcium Distribution and Thrombin Receptor Activation -- 2.1 Calcium Homeostasis Mechanism -- 2.1.1 Thrombin Receptor Activation in Calcium Signaling -- 2.2 Review of Calcium Models in Literature -- 2.3 Mathematical Models -- 2.3.1 Model 1: Receptor Activation Model -- 2.3.2 Model 2: Cytosolic Calcium Distribution Model -- 2.3.3 Model 3: Calcium Distribution Model Fractionalized Using Caputo-Fabrizio Operator -- 2.4 Discussion -- References -- 3 Effects of Buffers Over the Cytosolic Calcium Concentration -- 3.1 Calcium as Messenger and Buffering -- 3.2 Review of Calcium Buffering Models in Literature -- 3.3 Calcium Buffering Model -- 3.4 Discussion -- References -- 4 Anomalous Subdiffusive Behavior of Cytosolic Calcium -- 4.1 Cytosolic Calcium -- 4.2 Anomalous Diffusive Behavior of Cytosolic Calcium -- 4.3 Mathematical Formulation of the Model -- 4.4 Numerical Approximation of the Conformable-Fractal Equation of the Model -- 4.5 Numerical Approximation of the Fractal-Fractional Equation of the Model -- 4.6 Discussion -- References. 410 0$aSpringerBriefs in Biochemistry and Molecular Biology Series 700 $aAgarwal$b Ritu$0885390 701 $aPurohit$b Sunil Dutt$01742715 701 $aKritika$01742716 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910865241703321 996 $aModeling Calcium Signaling$94169414 997 $aUNINA