In this chapter, we will describe the quantum-mechanical models to accurately describe the process of creation of spontaneous, induced, and adaptive mutations. These models will be used to describe the processes of evolution and aging. The various theories of quantum evolution and epievolution will be studied as well. We then describe the Markovian chain-like classical and quantummechanical modeling of mutations and aging. In the same section, the hybrid quantum-classical biological channel model with memory is described as well. After that, various classical, semiclassical, and quantum models of cancer development are studied. The final section concludes the chapter.
Quantum-Mechanical and Quantum Mechanics-Like Models for Mutations and EvolutionWe have already discussed the role of mutations in evolution process in Chap. 3; see Sect. 3.4. Based on several recent publications [1][2][3][4][5][6][7][8][9][10][11][12], it has become evident that both Darwinian type of evolution (random mutations followed by selection process) [13] and Lamarckian type of evolution (selected mutations beneficial to the organism) [14] are important. The modernized Lamarckian mechanism, which can also be called neo-Lamarckism, can be described as follows: environmental factors are introducing genomic changes, the mutations are targeted to specific genes, and the mutations provide the adaptation to the original cause. Clearly, this mechanism is well aligned with adaptive mutation mechanism discussed in Sect. 4.3 of the previous chapter (see also [15][16][17][18][19][20][21][22]). The Darwinian mechanism of evaluation is less demanding as no specialized mechanism is required to direct the change of the relevant genomic locus and restrict it to the specific mutations.Based on mutation models we discussed in previous chapter as well as references [1][2][3][4][5][6][7][8][9][10][11][12], it appears that both mechanisms can contribute to the evolution. For low stress levels, the spontaneous mutations seem to be a dominant source to evolution, suggesting Darwinian evolution mode is more relevant. On the other hand, for strong stress levels, the adaptive mutations dominate, indicating that Lamarckian