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This article is a review and promotion of the study of solutions of differential equations in the “neighborhood of infinity” via a non traditional compactification. We define and compute critical points at infinity of polynomial autonomuos differential systems and develop an explicit formula for the leading asymptotic term of diverging solutions to critical points at infinity. Applications to problems of completeness and incompleteness (the existence and nonexistence respectively of global solutions) of dynamical systems are provided. In particular a quadratic competing species model and the Lorentz equations are being used as arenas where our technique is applied. The study is also relevant to the Painlevé property and to questions of integrability of dynamical systems.
Two significant findings compel a rethink of physical theories.
First, using a 7-billion-year-old gamma-ray burst, Nemiroff (2012) showed
that quantum foam could not exists. And second, Solomon (2011) showed
that gravitational acceleration is not associated with the gravitating mass,
that gravitational acceleration g is
determined solely by τ the change in
time dilation over a specific height multiplied by c2 or g = τc2.
Seeking consistency with Special Theory of Relativity, as means to initiate
this rethink, this paper examines 12 inconsistencies in physical theories that
manifest from empirical data. The purpose of this examination is to identify
how gravitational theories need to change or be explored, to eliminate these 12
inconsistencies. It is then proposed that spacetime is much more sophisticated
than just a 4-dimensional continuum. And, that the Universe consists of at
least two layers or “kenos” (Greek for vacuous), the 4-dimensional kenos,
spacetime (x, y, z,
Skin grafts have remained relatively unchanged since their introduction as a medical treatment for burns/wounds. This paper seeks to open an academic discussion as to whether their use-by date has now been passed. A skin graft substitute is described in a paradigm using fine leaf gelatine sheets which inherently possess several distinct advantages including, discarding the harvest of autologous tissue from patient donor sites. A clinical study will be needed to determine its suitability taken together with the understanding that experimental animal studies may not provide unequivocal answers to its in situ modus operandi.
This paper sets out to
demonstrate that scraping of the flat dorsal surface of human dermis with a
scalpel blade and cell plating without centrifugation can lead to the
recognition and identification of the individual packing micro pattern of
dermal reticular fibroblasts at confluence. The characteristic alignment of
papillary and reticular fibroblasts at right angles to each other led to the
positive identification of reticular fibroblasts. A non-enzymatic means of
sub-culturing (passaging), which yields fully functional, healthy cells with
normal, phenotypic morphology is also described. Implications for published subcutaneous
wound healing studies are discussed as well as the confluent reticular
fibroblast configuration, interpreted as ananatomic site identity code,which may be the address of a specific fibroblast gene pattern expression.
The human dermis
presents an ongoing problem for regenerative medicine. Current medical
management uses various acellular dermal matrices on wound sites. The challenge
for scientists is to examine, then to question accepted conventional
wisdom and to present new concepts. In this paper, Autologous Cell Therapy will
be described by using cell culture of autologous dermal
fibroblasts and their extracellular matrix as a foundation for rebuilding the
dermis in conditioned wound beds. This proposal seems to create a conflict with
the medical approach to keeping a wound bed “moist”.