Andrii I. Rozhok

Toward an evolutionary model of cancer: Considering the mechanisms that govern the fate of somatic mutations

Our understanding of cancer has greatly advanced since Nordling [Nordling CO (1953) Br J Cancer 7(1):68–72] and Armitage and Doll [Armitage P, Doll R (1954) Br J Cancer 8(1):1–12] put forth the multistage model of carcinogenesis. However, a number of observations remain poorly understood from the standpoint of this paradigm in its contemporary state. These observations include the similar age-dependent exponential rise in incidence of cancers originating from stem/progenitor pools differing drastically in size, age-dependent cell division profiles, and compartmentalization. This common incidence pattern is characteristic of cancers requiring different numbers of oncogenic mutations, and it scales to very divergent life spans of mammalian species. Also, bigger mammals with larger underlying stem cell pools are not proportionally more prone to cancer, an observation known as Peto’s paradox. Here, we present a number of factors beyond the occurrence of oncogenic mutations that are unaccounted for in the current model of cancer development but should have significant impacts on cancer incidence. Furthermore, we propose a revision of the current understanding for how oncogenic and other functional somatic mutations affect cellular fitness. We present evidence, substantiated by evolutionary theory, demonstrating that fitness is a dynamic environment-dependent property of a phenotype and that oncogenic mutations should have vastly different fitness effects on somatic cells dependent on the tissue microenvironment in an age-dependent manner. Combined, this evidence provides a firm basis for understanding the age-dependent incidence of cancers as driven by age-altered systemic processes regulated above the cell level.

A Critical Examination of the “Bad Luck” Explanation of Cancer Risk

Tomasetti and Vogelstein (1) argue that lifetime cancer risk for particular tissues is mostly determined by the total number of stem cell (SC) divisions within the tissue, whereby most cancers arise due to “bad luck”—mutations occurring during DNA replication. We argue that the poorly substantiated estimations of SC division parameters and assumptions that oversimplify somatic evolution prevent such a conclusion from being drawn. Cancer Prev Res; 8(9); 762–4. ©2015 AACR. See related article by Wang et al., p. 761

The Evolution of Lifespan and Age-Dependent Cancer Risk

The Armitage-Doll multi-stage model of carcinogenesis tremendously refocused cancer science by postulating that carcinogenesis is driven by a sequence of genetic changes in cells. Age-dependent cancer incidence thus has been explained in terms of the time necessary for oncogenic mutations to occur. While the multi-step nature of cancer evolution is well-supported by evidence, the mutation-centric theory is unable to explain a number of phenomena, such as the disproportion between cancer frequency and animal body size or the scaling of cancer incidence to animal lifespan. In this paper, we present a theoretical review of the current paradigm and discuss some fundamental evolutionary theory postulates that explain why cancer incidence is a function of lifespan and physiological, not chronological, aging.

Stochastic modeling reveals an evolutionary mechanism underlying elevated rates of childhood leukemia

Significance Elevated incidence of childhood leukemia relative to young adult ages is difficult to explain from the standpoint of oncogenic mutation accumulation. We applied a stochastic Monte Carlo model of hematopoietic stem cell (HSC) clonal dynamics based on published age-dependent parameters of HSCs. Our modeling results demonstrate that childhood and adult HSC clonal dynamics differ by the factors that determine the number of cell divisions per clonal context. Late in life, positive selection leading to clonal expansions increases the number of cell divisions per clone, whereas in childhood a similar increase is achieved by the much higher HSC division frequencies and drift-affected clonal expansions. We provide a mathematical argument that the obtained clonal dynamics and cell division measurements can explain the age-dependent incidence of leukemia. Young children have higher rates of leukemia than young adults. This fact represents a fundamental conundrum, because hematopoietic cells in young children should have fewer mutations (including oncogenic ones) than such cells in adults. Here, we present the results of stochastic modeling of hematopoietic stem cell (HSC) clonal dynamics, which demonstrated that early HSC pools were permissive to clonal evolution driven by drift. We show that drift-driven clonal expansions cooperate with faster HSC cycling in young children to produce conditions that are permissive for accumulation of multiple driver mutations in a single cell. Later in life, clonal evolution was suppressed by stabilizing selection in the larger young adult pools, and it was driven by positive selection at advanced ages in the presence of microenvironmental decline. Overall, our results indicate that leukemogenesis is driven by distinct evolutionary forces in children and adults.

DNA methylation in Drosophila melanogaster may depend on lineage heterogeneity

DNA methylation has been discovered in Drosophila only recently. Current evidence indicates that de novo methylation patterns in drosophila are maintained in a different way compared to vertebrates and plants. As the genomic role and determinants of DNA methylation are poorly understood in invertebrates, its link with several factors has been suggested. In this study, we tested for the putative link between DNA methylation patterns in Drosophila melanogaster and radiation or the activity of P transposon. Neither of the links were apparent from the results, however, we obtained some hints on a possible link between DNA methylation pattern and genomic heterogeneity of fly lineages.

A generalized theory of somatic evolution

The modern Multi-Stage Model of Carcinogenesis (MMC) was developed in the 1950s through the ‘70s and postulated carcinogenesis as a process of rounds of Darwinian selection favoring progressively more malignant cell phenotypes. Through this period, almost nothing was known about driver mutations in cancers. Also, stem cells and cellular tissue organization were poorly characterized. The general multi-stage process was later confirmed by experimental studies, and cancer risk and incidence has been explained as primarily a function of mutation occurrence. However, the MMC has never been formally tested for its ability to account for current knowledge about cancer evolution. In particular, different numbers of cancer drivers required for different cancers and vast discrepancies in the organization of stem cell compartments for different tissues appear inconsistent with the very similar age distribution of the vast majority of cancers. In this regard, the initial theoretical idea underlying MMC is often over-interpreted with little connection to modern evidence, and a general theory of somatic evolution still does not exist. In this study, we applied Monte Carlo modeling and demonstrated the effect of various parameters, such as mutation rate, mutation effects and cell division, on the MMC performance. Our modeling demonstrates that the MMC requires considerable modification in order to describe cancer incidence. We elucidate the required conditions for how somatic cell selection should operate within the MMC in order to explain modern data on stem cell clonality and cancer, and propose a generalized theory of somatic evolution based on these results.

Somatic maintenance alters selection acting on mutation rate

The evolution of multi-cellular animals has produced a conspicuous trend toward increased body size. This trend has introduced at least two novel problems: an elevated risk of somatic disorders, such as cancer, and declining evolvability due to reduced population size, lower reproduction rate and extended generation time. Low population size is widely recognized to explain the high mutation rates in animals by limiting the presumed universally negative selection acting on mutation rates. Here, we present evidence from stochastic modeling that the direction and strength of selection acting on mutation rates is highly dependent on the evolution of somatic maintenance, and thus longevity, which modulates the cost of somatic mutations We argue that this mechanism may have been critical in facilitating animal evolution.The evolution of multi-cellular animals has produced a conspicuous trend toward increased body size. This trend has introduced at least two novel problems: an elevated risk of somatic disorders, such as cancer, and declining evolvability due to reduced population size, lower reproduction rate and extended generation time. Low population size is widely recognized to explain the high mutation rates in animals by limiting the presumed universally negative selection acting on mutation rates. Here, we present evidence from stochastic modeling that the direction and strength of selection acting on mutation rates is highly dependent on the evolution of somatic maintenance, and thus longevity, which modulates the cost of somatic mutations. We argue that this mechanism may have been critical in facilitating animal evolution.

Somatic maintenance impacts the evolution of mutation rate

The evolution of multi-cellular animals has produced a conspicuous trend toward increased body size. This trend has introduced at least two novel problems: an elevated risk of somatic disorders, such as cancer, and declining evolvability due to reduced population size, lower reproduction rate and extended generation time. Low population size is widely recognized to explain the high mutation rates in animals by limiting the presumed universally negative selection acting on mutation rates. Here, we present evidence from stochastic modeling that the direction and strength of selection acting on mutation rates is highly dependent on the evolution of somatic maintenance, and thus longevity, which modulates the cost of somatic mutations We argue that this mechanism may have been critical in facilitating animal evolution.The evolution of multi-cellular animals has produced a conspicuous trend toward increased body size. This trend has introduced at least two novel problems: an elevated risk of somatic disorders, such as cancer, and declining evolvability due to reduced population size, lower reproduction rate and extended generation time. Low population size is widely recognized to explain the high mutation rates in animals by limiting the presumed universally negative selection acting on mutation rates. Here, we present evidence from stochastic modeling that the direction and strength of selection acting on mutation rates is highly dependent on the evolution of somatic maintenance, and thus longevity, which modulates the cost of somatic mutations. We argue that this mechanism may have been critical in facilitating animal evolution.

A somatic evolutionary model of the dynamics of aneuploid cells during hematopoietic reconstitution

Aneuploidy is associated with many cancers. Recent studies demonstrate that in thehematopoietic stem and progenitor cell (HSPC) compartment aneuploid cells havereduced fitness and are efficiently purged from the bone marrow. However, early phasesof hematopoietic reconstitution following bone marrow transplantation provide awindow of opportunity whereby aneuploid cells rise in frequency, only to decline to basallevels thereafter. Here we demonstrate by Monte Carlo modeling that two mechanismscould underlie this aneuploidy peak: rapid expansion of the engrafted HSPC populationand bone marrow microenvironment degradation caused by pre-transplantationradiation treatment. Both mechanisms reduce the strength of purifying selection actingin early post-transplantation bone marrow. We explore the contribution of other factorssuch as alterations in cell division rates that affect the strength of purifying selection, thebalance of drift and selection imposed by the HSPC population size, and the mutationselectionbalance dependent on the rate of aneuploidy generation per cell division. Wepropose a somatic evolutionary model for the dynamics of cells with aneuploidy or otherfitness-reducing mutations during hematopoietic reconstitution following bone marrowtransplantation. Significance Bone marrow transplantations (BMT) following ablative irradiation pose a great health risk. It’s been shown that additionally the bone microenvironment is conducive to elevated frequencies of aneuploid cells in mice during bone marrow reconstitution post-BMT. As aneuploidy is linked with many cancers, we explore the reasons of such aberrant cell frequency peaks by Monte Carlo modeling. We demonstrate that elevated rates of aneuploidy early post-BMT are likely to be caused by reduced purifying somatic selection resulting from the expansion of the reconstituting population and the damage to stem cell niches caused by ablative radiation

On somatic constraints in the evolution of multicellularity

The evolution of multi-cellular animals has produced a conspicuous trend toward increased body size. This trend has introduced at least two novel problems: an elevated risk of somatic disorders, such as cancer, and declining evolvability due to reduced population size, lower reproduction rate and extended generation time. Low population size is widely recognized to explain the high mutation rates in animals by limiting the presumed universally negative selection acting on mutation rates. Here, we present evidence from stochastic modeling that the direction and strength of selection acting on mutation rates is highly dependent on the evolution of somatic maintenance, and thus longevity, which modulates the cost of somatic mutations We argue that this mechanism may have been critical in facilitating animal evolution.The evolution of multi-cellular animals has produced a conspicuous trend toward increased body size. This trend has introduced at least two novel problems: an elevated risk of somatic disorders, such as cancer, and declining evolvability due to reduced population size, lower reproduction rate and extended generation time. Low population size is widely recognized to explain the high mutation rates in animals by limiting the presumed universally negative selection acting on mutation rates. Here, we present evidence from stochastic modeling that the direction and strength of selection acting on mutation rates is highly dependent on the evolution of somatic maintenance, and thus longevity, which modulates the cost of somatic mutations. We argue that this mechanism may have been critical in facilitating animal evolution.