On the general theory of the origins of retroviruses

<p>Abstract</p> <p>Background</p> <p>The order retroviridae comprises viruses based on ribonucleic acids (RNA). Some, such as HIV and HTLV, are human pathogens. Newly emerged human retroviruses have zoonotic origins. As far as has been established, both repeated infections (themselves possibly responsible for the evolution of viral mutations <b>(Vm) </b>and host adaptability <b>(Ha)</b>); along with interplay between <it>inhibitors </it>and <it>promoters </it>of cell tropism, are needed to effect retroviral cross-species transmissions. However, the exact <it>modus operadi </it>of intertwine between these factors at molecular level remains to be established. Knowledge of such intertwine could lead to a better understanding of retrovirology and possibly other infectious processes. This study was conducted to derive the mathematical equation of a general theory of the origins of retroviruses.</p> <p>Methods and results</p> <p>On the basis of an arbitrarily non-Euclidian geometrical "thought experiment" involving the cross-species transmission of simian foamy virus (sfv) from a non-primate species <it>Xy </it>to <it>Homo sapiens </it>(<it>Hs</it>), initially excluding all social factors, the following was derived. At the port of exit from <it>Xy </it>(where the species barrier, SB, is defined by the <it>Index of Origin</it>, IO), sfv shedding is (1) enhanced by two transmitting tensors <b>(Tt)</b>, (i) virus-specific immunity (VSI) and (ii) evolutionary defenses such as APOBEC, RNA interference pathways, and (when present) expedited therapeutics (denoted e²D); and (2) opposed by the five accepting scalars <b>(At)</b>: (a) genomic integration hot spots, gIHS, (b) nuclear envelope transit <b>(</b>NMt) vectors, (c) virus-specific cellular biochemistry, VSCB, (d) virus-specific cellular receptor repertoire, VSCR, and (e) pH-mediated cell membrane transit, (↓_pHCMat). Assuming <b>As </b>and <b>Tt </b>to be independent variables, <b>IO = Tt/As</b>. The same forces acting in an opposing manner determine SB at the port of sfv entry (defined here by the <it>Index of Entry</it>, <b>IE = As/Tt</b>). Overall, If sfv encounters no unforeseen effects on transit between X<it>y </it>and <it>Hs</it>, then the square root of the combined index of sfv transmissibility (√<b>|RTI|) </b>is proportional to the product IO* IE (or ~Vm* Ha* ∑Tt*∑As*<b>Ω</b>), where <b>Ω </b>is the retrovirological constant and ∑ is a function of the ratio Tt/As or As/Tt for sfv transmission from <it>Xy </it>to <it>Hs</it>.</p> <p>Conclusions</p> <p>I present a mathematical formalism encapsulating the general theory of the origins of retroviruses. It summarizes the choreography for the intertwined interplay of factors influencing the probability of retroviral cross-species transmission: <b>Vm, Ha, Tt, As, </b>and <b>Ω</b>.</p