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1.

電子ブック

EB
by Vincenzo Capasso, David Bakstein
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2012
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8346-7
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Part I. The Theory of Stochastic Processes
Fundamentals of Probability
Stochastic Processes
The Itô Integral
Stochastic Differential Equations
Part II. The Applications of Stochastic Processes
Applications to Finance and Insurance
Applications to Biology and Medicine
Part III. Appendices
Measure and Integration
Convergence of Probability Measures on Metric Spaces
Elliptic and Parabolic Operators
D Semigroups and Linear Operators.- E Stability of Ordinary Differential Equations
References
Part I. The Theory of Stochastic Processes
Fundamentals of Probability
Stochastic Processes
2.

電子ブック

EB
edited by Vincenzo Capasso, Misha Gromov, Annick Harel-Bellan, Nadya Morozova, Linda Louise Pritchard
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics ; 15
オンライン: http://dx.doi.org/10.1007/978-3-642-20164-6
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Preface
Why Would a Mathematician Care About Embryology? M.Gromov.-  PART I.BIOLOGICAL BACKGROUND
Preface to the Biological Part
Pattern Formation in Regenerating Tissues. A.Hoffmann and P.A. Tsonis
Gradients and Regulatory Networks of Wnt Signalling in Hydra Pattern Formation. T.W. Holstein
Modeling of Planar Cell Polarity Signaling. J.D. Axelrod
Integrated Molecular Circuits for Stem Cell Activity in Arabidopsis Roots. B. Scheres
The Mechanics of Tissue Morphogenesis. T. Lecuit
Small Regulatory RNAs and Skeletal Muscle Cell Differentiation. A. Harel-Bellan, A.Polesskaya, I.Naguibneva, M.Ameyar-Zazoua, C.Degerny, J.Kropp, N.Nonne, M.Souidi, G.Kratassiouk, G.Pinna, L.L.Pritchard
Pattern Formation in Sea Urchin Endomesoderm as Instructed by Gene Regulatory Network Topologies. I.S. Peter and E.H. Davidson
PART II. MATHEMATICAL MODELS
Modelling Oscillator Synchronisation During Vertebrate Axis Segmentation. P.J. Murray, P.K. Maini, and R.E. Baker
Pattern Formation in Hybrid Models of Cell Populations. N. Bessonov, P. Kurbatova, V. Volpert.-An Integrative Approach to the Analysis of Pattern Formation in Butterfly Wings – Experiments and Models. T. Sekimura
Modeling Morphogenesis in Multicellular Structures with Cell Complexes and L-systems. P. Prusinkiewicz and B. Lane
Multistability and Hysteresis-based Mechanism of Pattern Formation in Biology. A. Marciniak-Czochra and A. Köthe
How to knock out feedback Circuits in Gene Networks? H. Gruber, A. Richard, C. Soulé
Formation of Evolutionary Patterns in Cancer Dynamics. M. Delitala and T. Lorenzi
How Cell Decides Between Life and Death: Mathematical Modeling of Epigenetic Landscapes of Cellular Fates. A. Zinovyev, L. Calzone, S. Fourquet and E. Barillot
PART  III.  IDEAS, HYPOTHESIS, SUGGESTIONS
From Hydra to Vertebrates: Models for the Transition from Radial- to Bilateral-symmetric Body Plans, H. Meinhardt
Cell Division and Hyperbolic Geometry. M. Gromov
Formalistic Representation of the Cellular Architecture in the Course of Plant Tissue Development. I.V. Rudskiy
The Geometry of Morphogenesis and the Morphogenetic Field Concept. N.Morozova and M.Shubin
Randomness and Geometric Structures in Biology. V. Capasso
Preface
Why Would a Mathematician Care About Embryology? M.Gromov.-  PART I.BIOLOGICAL BACKGROUND
Preface to the Biological Part