Written at an undergraduate mathematical level, this book provides the essential theoretical tools and foundations required to develop basic models to explain collective phase transitions for a wide variety of ecosystems.

Cancer viewed as a programmed, evolutionarily conserved life‐form, rather than just a random series of disease‐causing mutations, answers the rarely asked question of what the cancer cell is for, provides meaning for its otherwise mysterious suite of attributes, and encourages a different type of thinking about treatment. The broad but consistent spectrum of traits, well‐recognized in all aggressive cancers, group naturally into three categories: taxonomy (“phylogenation”), atavism (“re‐primitivization”) and robustness (“adaptive resilience”). The parsimonious explanation is not convergent evolution, but the (...) release of an highly conserved survival program, honed by the exigencies of the Pre‐Cambrian, to which the cancer cell seems better adapted; and which is recreated within, and at great cost to, its host. Central to this program is the Warburg Effect, whose malign influence permeates well beyond aerobic glycolysis to include biomass interconversion and genomic heuristics. Warburg‐type metabolism and genomic instability are targets whose therapeutic disablement is a major priority. (shrink)

The Neo‐Darwinian concept of natural selection is plausible when one assumes a straightforward causation of phenotype by genotype. However, such simple 1:1 mapping must now give place to the modern concepts of gene regulatory networks and gene expression noise. Both can, in the absence of genetic mutations, jointly generate a diversity of inheritable randomly occupied phenotypic states that could also serve as a substrate for natural selection. This form of epigenetic dynamics challenges Neo‐Darwinism. It needs to incorporate the non‐linear, stochastic (...) dynamics of gene networks. A first step is to consider the mathematical correspondence between gene regulatory networks and Waddington's metaphoric ‘epigenetic landscape’, which actually represents the quasi‐potential function of global network dynamics. It explains the coexistence of multiple stable phenotypes within one genotype. The landscape's topography with its attractors is shaped by evolution through mutational re‐wiring of regulatory interactions – offering a link between genetic mutation and sudden, broad evolutionary changes. (shrink)

The genome is a stable repository of vastly intricate genetic information developed over eons of evolution; this information is replicated at the highest fidelity and expressed within each cell at the highest selectivity. Non‐leukemia cancers break this standard; the intricate genetic information qualitatively and progressively deteriorates, resulting in a somatic Darwinian free‐for‐all. In a process lasting several years, a genomically heterogeneous population replicates from a single cell that originally lost the ability to preserve its genomic integrity. Cells selected for their (...) abilities to proliferate and spread, while evading host defenses, inexorably expand their numbers. The clinical consequences of this become severe, as the genomically diverse cell population that evolves contains members that can evade most therapeutic approaches aimed at “the tumor cell”. BioEssays 23:1037–1046, 2001. © 2001 John Wiley & Sons, Inc. (shrink)