## 5 Characterization of Genetic Differences in the FMO Complexes with other Species and Strains
### Alternative and Extended Studies on FMO for other Species and Strains  
It is important to consider that GSB, as all living organisms do, possess regulatory mechanisms to better adapt to the changing circumstances of their environment. For instance, the bacteriochlorophyll synthesis is strongly regulated by light intensity, meaning that pigments and chlorosomes can be multiplied under light-limiting conditions or their biosynthesis can be halted under rich light conditions, effectively acting in accordance to the situation [15]. Regulation of light harvesting is thus strongly related to the effect the environment has on the genetic expression of the organism. Antenna proteins can be regulated on multiple levels from mRNA (messenger RNA) transcription or even be submitted to protein degradation [64]. Although the environmental effects on gene expression are of interest for the understanding of photosynthesis in vivo, these go beyond the reach of this study. In this work, we focus on the parametric analysis of some functional differences within FMO complexes resulting from the genetic variations between different species and mutations. For this, we refer to the experimental outcomes in literature [19, 20, 37, 65]. In order to set a comparison between the quantum regime behavior of _Chlorobaculum pepidum_ and _Prosthecochloris aestuarii_, a set of two different Hamiltonians of _Chlorobaculum pepidum_ (Equations (A1) and (A2)) and _Prosthecochloris aestuarii_ (Equations (A3) and (A4)) have been considered. In the Figures 14 and 15, two parallel sets of simulations has been performed for _Chlorobaculum pepidum_ and _Prosthecochloris aestuarii_, respectively. We have performed simulations using their respective Hamiltonians as well for \(N=7\) as \(N=8\) cases considering \(\gamma=50\,\mathrm{cm}^{-1}\) for \(\lambda=35\,\mathrm{cm}^{-1}\) and \(\lambda=65\,\mathrm{cm}^{-1}\) at the room temperature of \(T=293\,\mathrm{\SIUnitSymbolCelsiusthe comparative behavior of their quantum regime considering synthetically some quantum features previously discussed. Figure 14: Population evolution in the first 6 ps (10 ps in the upper inset) for **(A–D)**\(N=7\) and **(E,F)**\(N=8\) BChls in the FMO monomer of _C. tepidum_ with \(T=293\,^{\circ}\)K, \(\gamma_{k}=50\,\)cm\({}^{-1}\). First and second columns for \(\lambda_{k}=35,65\,\)cm\({}^{-1}\), respectively, and initial conditions: \(|1\rangle\langle 1|\), \(|6\rangle\langle 6|\) and \(\rho_{RET}^{8}\), in rows. Note the differences in the coherence and transference times. **(A)**\(\lambda_{k}=35\,\)cm\({}^{-1}\), \(\rho_{0}=|1\rangle\langle 1|\); **(B)**\(\lambda_{k}=65\,\)cm\({}^{-1}\), \(\rho_{0}=|1\rangle\langle 1|\); **(C)**\(\lambda_{k}=35\,\)cm\({}^{-1}\), \(\rho_{0}=|6\rangle\langle 6|\); **(D)**\(\lambda_{k}=65\,\)cm\({}^{-1}\), \(\rho_{0}=|6\rangle\langle 6|\); **(E)**\(\lambda_{k}=35\,\)cm\({}^{-1}\), \(\rho_{0}=\theta_{RET}^{8}\); **(F)**\(\lambda_{k}=65\,\)cm\({}^{-1}\), \(\rho_{0}=\theta_{RET}^{8}\). Due to the analysis for \(N=7\) should to consider the initial pathway (\(\rho(0)=|1\rangle\langle 1|\) as in our main analysis, or \(\rho(0)=|6\rangle\langle 6|\)), we develop those two single main initial site-like conditions to see the differences for such parametric values. For \(N=8\), instead we will consider \(\rho(0)=|8\rangle\langle 8|\) as initial condition, we use the so called Forster resonance energy transfer (FRET) initial condition [27]. This condition better reflects the initial excitation coming from a light source with a wide spectrum of frequencies as it happens the natural habitat of FMO complexes.