… of applications is extensive as are the number of books on various aspects1 of the field. There
are also highly practical applications of single-species models in the biomedical sciences; …

… This second volume covers spatial models and biomedical applications. For this new
edition, Murray covers certain items in depth, introducing new applications such as modelling …

… Part IV deals with biomedical applications and consists of twelve chapters. Iomin considers
fractional transport of cancer cells due to self-entrapping by fission. In particular, a simple …

… We start biomedical applications of the universal science of complexity with the lower level
of underlying atomic and molecular interactions giving the irreducibly complex dynamics of …

… In Section 12.5 we consider an application of this model to tumor invasion [33, 64]. Finally,
we raise a number of biological, modeling, analytical, and numerical challenges stimulated by …

… Such models are widely used in the biological modelling. Cells are considered as individual
… We illustrate the application of this approach with some examples including bacteria …

… The first step in this paper is to develop a mathematical multiscale model describing how
cell adhesion may be regulated by interactions between E-cadherin and β-catenin and how the …

… This type of noise is also signaldependent and appears in different biomedical applications,
eg, in positron emission tomography [103] or fluorescence microscopy [104]. For Poisson …

… These models of neuronal activity collapse the neuronal anatomy into a single point in
space, sacrificing realism for mathematical tractability, although they often succeed in predicting …

… Finally, in section 6 I summarize this body of research and ask, if no mathematical models
of cancer had ever been constructed, how would our understanding of necrosis and tumor cell …