This study presents a mathematical model describing the interaction of gut bacteria in the participation of probiotics and antibiotics, assuming that some good bacteria become harmful through mutations due to antibiotic exposure. The qualitative analysis exposes twelve equilibrium points, such as a good-bacteria equilibrium, a bad-bacteria equilibrium, and a coexisting endemic equilibrium in which both bacteria exist while being exposed to antibiotics. The theory of the Sotomayor theorem is applied to study the local bifurcation around all possible equilibrium points. It’s noticed that the transcritical and saddle-node bifurcation could occur near some of the system’s equilibrium points, while pitchfork bifurcation cannot be accrued at

Objective: The present study was aimed to develop a pH-triggered in situ gel for local release of lidocaine hydrochloride (lidocaine HCL) in the buccal cavity to improve the anesthetic effect of this amino amide drug which has very high water solubility. The formulations were introduced to the oral cavity as a spray to improve compliance and for easier administration.Methods: In this work, two grades of carbopol (934 and 940)-based in situ gel spray were designed. The formulations containing lidocaine HCl 5% were prepared by mixing different concentrations of carbopol with xanthan gum. Eight formulations were investigated and evaluated for gelation capacity, spray angle, volume of solution delivered per each actuation, rheological p

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The city is often discussed in barren, eviscerated terms and in technical jargon by urban professionals as if it were a lifeless, detached being. In fact, it is a sensory, emotional, lived experience. How often do strategic urban plans start with the words ‘beauty’, ‘love’, ‘happiness’ or ‘excitement’, as opposed to ‘bypass’, ‘spatial outcome’ or ‘planning framework, So the research problem was formed by the weakness of the sensory perception of cities and the weakness of the sense of different spaces, which in turn leads to weakness of belonging, identity and clarity, Therefor we focus here on the sensory perception. The hypothesis Recognize Senses as helpful tool in increasing people's understanding of differe

This is a search for Al-Rwandiyah and its heretical deviant sects, and its destructive goals that targeted the Arab nation, and its true Islamic religion in order to exhale poisons of demolition and sabotage, leading to its racist, populist goals ( ) that the Magi aspire to to restore the so-called ancient Persian glories, and undermine the Abbasid caliphate.
Al-Biruni said: (And that a person will emerge who will restore the Magian state and seize all the land, and remove the king of the Arabs) (), and among the indications of Ibn Al-Nadim is that a populist man called Muhammad bin Al-Hussein who was turned into Zaidan () was (claiming... the transition of the Islamic state to a state Persia ..... and their religion, which is the rel

Most media studies on the development of the agenda have focused on the relationship between the content of the media and the audience of these media, and the extent of its impact on the agenda of the media, in addition to comparing it to the extent of interest in the agenda of those means. While in the construction of the agenda, we focus on the relationship between news sources and the media and the role of these sources in the process Building the agenda.These sources are institutions, parties, pressure groups, interest groups, the head of state and other media. The impact of these sources on the process of building the agenda are shown through the process of the selection of resources by the channel and communicators, and the technic

    Traditionally, women playwrights in general, and black women playwrights in particular have been excluded from the American theater       because of racial and gender oppression. However, early twentieth-century African-American women playwrights, such as Angelina Weld Grimke (1880-1958), Alice Dunbar-Nelson (1875-1935), Marry Burrill (1879-1946), and Myrtle Smith Livingston (1901-1973), whose works have been overshadowed for decades, were able to express their awareness of the racial discrimination facing African-Americans. They also paved the way for the next generation of black women playwrights, such as Alice Childress (1920-1994), Lorraine Hansberry (1930-1965) and many others.