Titlebook: Systems Biology; Modeling, Analysis, Jinzhi Lei Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spri

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Lecture Notes on Mathematical Modelling in the Life Scienceshttp://image.papertrans.cn/t/image/884837.jpg

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https://doi.org/10.1007/978-3-030-73033-8Systems biology; Mathematical modeling; Stochastic modeling; Stem cell regeneration; Morphogen gradient

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978-3-030-73032-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Systems Biology978-3-030-73033-8Series ISSN 2193-4789 Series E-ISSN 2193-4797

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,Biological Background—Information, Energy, and Matter,n, energy, and matter. Genetic and epigenetic information guides biological behavior at different scales, including intracellular molecular interactions, the birth-death processes of cells, cell-to-cell communication, tissue growth, and cognitive behavior. Energy is required in all life activities t

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,Mathematical Preliminary–Continuous Dynamics,n be modeled with differential equations of different forms. In this chapter, we introduce the basic concepts, results, and analytic methods of ordinary differential equations, delay differential equations, stochastic differential equations, and reaction-diffusion equations. Additionally, we introdu

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Mathematical Models for Gene Regulatory Network Dynamics,the gene expression levels of mRNAs and proteins. GRNs play a central role in morphogenesis, the creation of body structures, cell fate decisions, and signaling responses. Mathematical models of the dynamics of GRNs are important to understand the behavior of a biological system. This chapter introd