In 2008, Vallentin made a conjecture involving the least distortion of an embedding of a distance-regular graph into Euclidean space. Vallentin's conjecture implies that for a least distortion Euclidean embedding ...
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In the paper, a mathematical model for the description of the stress-strain state of mustard seeds during drying in the gas-suspended state under the pulsed action of the drying agent is constructed. Based on the obta...
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In this paper, we explore two different approaches to Big Data Mining: The Fuzzy Model Theory and the Formal Concept Analysis. We carry out the integration of these two approaches for solving the problem of constructi...
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Theranostics are crucial in both cancer diagnosis and targeted drug delivery, as they enable the simultaneous detection and treatment of disease within a single molecular or conjugated platform. However, theranostics ...
Theranostics are crucial in both cancer diagnosis and targeted drug delivery, as they enable the simultaneous detection and treatment of disease within a single molecular or conjugated platform. However, theranostics is still facing challenges like real-time tracking for “where” prodrugs are activated in vivo , which poses a significant problem for molecule development. Organ-specific action to inspire the creation of innovative disease–curing technologies that are both accurate and efficient is still an underestimated task. We herein showcase the novel serendipitous gallbladder–targeting indole–based prodrug Indo–Gem for precise imaging-guided cancer therapy. Indo–Gem was prepared by an indole–malononitrile (dye) moiety, attached to the selected parent drug Gemcitabine via a disulfide cleavable linker. Indo–Gem is triggered by DTT with 27–fold fluorescent enhancement at pH 7.4, registering within 21 min. Unlike the most ignored adverse effects in prodrug activation, this indole–based dye targeting in a specific organ region of a zebrafish model via a combination of imaging ability and drug release. This is the first case that employs an indole–based moiety in prodrug design without any use of targeting ligands; the profound success of Indo–Gem and the well–defined mechanism suggest that the indole might serve as a scaffold to create novel therapeutic prodrugs with improved drug potency in future drug development.
A Neumaier graph is a non-complete edge-regular graph containing a regular clique. A Neumaier graph that is not strongly regular is called a strictly Neumaier graph. In this work we present a new construction of stric...
MSC Codes 35L81, 35L05, 35D30, 35A35We consider a tsunami wave equation with singular coefficients and prove that it has a very weak solution. Moreover, we show the uniqueness results and consistency theorem of the ve...
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In this paper we consider the heat equation with strongly singular potentials and prove that it has a "very weak solution". Moreover, we show the uniqueness and consistency results in some appropriate sense....
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We consider a space-fractional wave equation with a singular mass term depending on the position and prove that it is very weak well-posed. The uniqueness is proved in some appropriate sense. Moreover, we prove the co...
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A Neumaier graph is a non-complete edge-regular graph containing a regular clique. In this paper we give some sufficient and necessary conditions for a Neumaier graph to be strongly regular. Further we show that there...
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In this paper the space-fractional Schrödinger equations with singular potentials are studied. Delta like or even higher-order singularities are allowed. By using the regularising techniques, we introduce a famil...
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