Thermodynamic energetics underlying genomic instability and whole-genome doubling in cancer

Tetraploidy as a metastable state towards malignant cell transformation within a systemic approach of cancer development

Tetraploidy, a condition in which a cell has four homologous sets of chromosomes, may be a natural physiological condition or pathophysiological such as in cancer cells or stress induced tetraploidisation. Its contribution to cancer development is well known. However, among the many models proposed to explain the causes, mechanisms and steps of malignant cell transformation, only few integrate tetraploidization into a systemic multistep approach of carcinogenesis. Therefore, we will i) describe the molecular and cellular characteristics of tetraploidy; ii) assess the contribution of stress-induced tetraploidy in cancer development; iii) situate tetraploidy as a metastable state leading to cancer development in a systemic cell-centered approach; iiii) consider knowledge gaps and future perspectives. The available data shows that stress-induced tetraploidisation/polyploidisation leads to p53 stabilisation, cell cycle arrest, followed by cellular senescence or apoptosis, suppressing the proliferation of tetraploid cells. However, if tetraploid cells escape the G1-tetraploidy checkpoint, it may lead to uncontrolled proliferation of tetraploid cells, micronuclei induction, aneuploidy and deploidisation. In addition, tetraploidization favors 3D-chromatin changes and epigenetic effects. The combined effects of genetic and epigenetic changes allow the expression of oncogenic gene expression and cancer progression. Moreover, since micronuclei are inducing inflammation, which in turn may induce additional tetraploidization, tetraploidy-derived genetic instability leads to a carcinogenic vicious cycle. The concept that polyploid cells are metastable intermediates between diploidy and aneuploidy is not new. Metastability denotes an intermediate energetic state within a dynamic system other than the system's state at least energy. Considering in parallel the genetic/epigenetic changes and the probable entropy levels induced by stress-induced tetraploidisation provides a new systemic approach to describe cancer development.

Whole-Genome Duplication Shapes the Aneuploidy Landscape of Human Cancers

Aneuploidy is a hallmark of cancer with tissue-specific prevalence patterns that suggest it plays a driving role in cancer initiation and progression. However, the contribution of aneuploidy to tumorigenesis depends on both cellular and genomic contexts. Whole-genome duplication (WGD) is a common macroevolutionary event that occurs in more than 30% of human tumors early in tumorigenesis. Although tumors that have undergone WGD are reported to be more permissive to aneuploidy, it remains unknown whether WGD also affects aneuploidy prevalence patterns. Here we analyzed clinical tumor samples from 5,586 WGD- tumors and 3,435 WGD+ tumors across 22 tumor types and found distinct patterns of aneuploidy in WGD- and WGD+ tumors. WGD+ tumors were characterized by more promiscuous aneuploidy patterns, in line with increased aneuploidy tolerance. Moreover, the genetic interactions between chromosome arms differed between WGD- and WGD+ tumors, giving rise to distinct cooccurrence and mutual exclusivity aneuploidy patterns. The proportion of whole-chromosome aneuploidy compared with arm-level aneuploidy was significantly higher in WGD+ tumors, indicating distinct dominant mechanisms for aneuploidy formation. Human cancer cell lines successfully reproduced these WGD/aneuploidy interactions, confirming the relevance of studying this phenomenon in culture. Finally, induction of WGD and assessment of aneuploidy in isogenic WGD-/WGD+ human colon cancer cell lines under standard or selective conditions validated key findings from the clinical tumor analysis, supporting a causal link between WGD and altered aneuploidy landscapes. We conclude that WGD shapes the aneuploidy landscape of human tumors and propose that this interaction contributes to tumor evolution.

SIGNIFICANCE

These findings suggest that the interactions between whole-genome duplication and aneuploidy are important for tumor evolution, highlighting the need to consider genome status in the analysis and modeling of cancer aneuploidy.

Compacting the density matrix in quantum dynamics: Singular value decomposition of the surprisal and the dominant constraints for anharmonic systems

We introduce a practical method for compacting the time evolution of the quantum state of a closed physical system. The density matrix is specified as a function of a few time-independent observables where their coefficients are time-dependent. The key mathematical step is the vectorization of the surprisal, the logarithm of the density matrix, at each time point of interest. The time span used depends on the required spectral resolution. The entire course of the system evolution is represented as a matrix where each column is the vectorized surprisal at the given time point. Using the singular value decomposition (SVD) of this matrix, we generate realistic approximations for the time-independent observables and their respective time-dependent coefficients. This allows for a simplification of the algebraic procedure for determining the dominant constraints (the time-independent observables) in the sense of the maximal entropy approach. A non-stationary coherent initial state of a Morse oscillator is used to introduce the approach. We derive the analytical exact expression for the surprisal as a function of time, and this offers a benchmark for comparison with the accurate but approximate SVD results. We discuss two examples of a Morse potential of different anharmonicities, H₂ and I₂ molecules. We further demonstrate the approach for a two-coupled electronic state problem, the well-studied non-radiative decay of pyrazine from its bright state. Five constraints are found to be enough to capture the ultrafast electronic population exchange and to recover the dynamics of the wave packet in both electronic states.