We present multiscale models of cancer tumor invasion with components at the molecular, cellular, and tissue levels. We provide biological justifications for the model components, present computational results from the model, and discuss the scientific-computing methodology used to solve the model equations. The models and methodology presented in this paper form the basis for developing and tr...

Abstract Nowadays, as accepted as the era of information or digital, time has changed and has invited all people to a new world in which everybody must define himself. Avoiding from getting benefit from this human progress is useless; Rather, we must know this great technology best and adapt ourselves with its consequences. In fact, in many countries and among many nations there had been peopl...

Biological invasion The process by which an organism is introduced to, and establishes a sustainable population in, a region beyond its native range. Eradication The managed extirpation of an entire nonnative population. Impact The effect of a nonnative species on its environment. Invasibility The vulnerability of a habitat, community, or ecosystem to invasion. Invasion ecology A multidisciplin...

Insights into the ecology of historic invasions by introduced species can be gained by studying long-term patterns of invasions by native species. In this paper, we review literature in palaeo-ecology, forest-stand simulation modelling, and historical studies of plant species invasions to illustrate the relevance of biological inertia in plant communities to invasion ecology. Resistance to inva...

We studied the relative importance of residence time, propagule pressure, and species traits in three stages of invasion of alien woody plants cultivated for about 150 years in the Czech Republic, Central Europe. The probability of escape from cultivation, naturalization, and invasion was assessed using classification trees. We compared 109 escaped-not-escaped congeneric pairs, 44 naturalized-n...

There has been a dramatic growth in research on biological invasions over the past 20 years, but a mature understanding of the field has been hampered because invasion biologists concerned with different taxa and different environments have largely adopted different model frameworks for the invasion process, resulting in a confusing range of concepts, terms and definitions. In this review, we p...

Attempts to investigate the drivers of invasion success are generally limited to the biological and evolutionary traits distinguishing native from introduced species. Although alien species introduced to the same recipient environment differ in their invasion intensity - for example, some are "strong invaders"; others are "weak invaders" - the factors underlying the variation in invasion succes...