Multerer MD Wittwer LD Stopka A Barac D Lang C Iber D 2018 Morphogenesis, the process by which an adult organism emerges from a single cell, has fascinated humans for a long time. Modeling this process can provide novel insights into development and the principles that orchestrate the developmental processes. This chapter focuses on the mathematical description and numerical simulation of developmental processes. In particular, we discuss the mathematical representation of morphogen and tissue dynamics on static and growing domains, as well as the corresponding tissue mechanics. In addition, we give an overview of numerical methods that are routinely used to solve the resulting systems of partial differential equations. These include the finite element method and the Lattice Boltzmann method for the discretization as well as the arbitrary Lagrangian-Eulerian method and the Diffuse-Domain method to numerically treat deforming domains. application/pdf https://sonar.ch/global/documents/278127 eng info:eu-repo/semantics/altIdentifier/doi/10.1007/978-1-4939-8772-6_13 info:eu-repo/semantics/altIdentifier/pmid/30324601 info:eu-repo/semantics/openAccess Methods in molecular biology (Clifton, N.J.). - 2018 In silico morphogenesis Morphogen dynamics Tissue dynamics Tissue mechanics Algorithms Animals Cell Proliferation Computer Simulation Embryonic Development Finite Element Analysis Intercellular Signaling Peptides and Proteins Models, Biological Morphogenesis Signal Transduction Simulation of Morphogen and Tissue Dynamics. http://purl.org/coar/resource_type/c_6501