<abstract><p>Recently, delayed dynamical model has witnessed a great interest from many scholars in biological and mathematical areas due to its potential application describing the interaction of different populations. In this article, relying previous studies, we set up two new predator-prey systems incorporating delay. By virtue fixed point theory, inequality tactics an appropriate function, explore well-posedness (includes existence uniqueness, boundedness non-negativeness)...

Formulating suitable dynamical models to describe the interplay of different chemical substance in biology and chemistry is a very interesting topic. In this article, we set up new plankton population system accompanying delay. Taking advantage fixed point theorem appropriate function, derive criteria on existence uniqueness, boundedness solutions established system. By applying Hopf bifurcation stability delayed system, analyze emergence trait Novel delay-independent guaranteeing are...

The glucose-regulated protein (GRP) system in mammalian cells is induced by glucose deprivation, anoxia, the calcium ionophore A23187, and 2-deoxyglucose. In Chinese hamster ovary major GRPs are approximately equal to 76, 97, 170 kDa. Removal of each these four GRP-inducing stresses leads coordinate repression induction heat shock proteins at 70 89 application conditions a significant resistance drug doxorubicin. condition results rapid disappearance this manner that correlates with GRPs....

Abstract In the literature [16], COVID-19 model has been constructed using deterministic approach. The present manuscript examines a stochastic designed to capture interplay between and varying infection rates on disease dynamics. We necessary criteria for global solution considered exist be unique. To illustrate several outcomes pertaining ergodic properties of given system, we utilize nonlinear analysis. Furthermore, undergoes simulation is compared with verify efficacy demonstrate its...

<p>In this current paper, we developed a new predator-prey model accompanying delay based on the earlier works. By applying inequality strategies, fixed point theorem, and suitable function, got necessary conditions for existence, uniqueness, nonnegativeness, boundedness of solution to delayed model. The bifurcation behavior stability nature defined were investigated by using theory differential equations. We have modified Hopf bifurcation's appearance time domain building two distinct...

ABSTRACT All the time delayed dynamical system plays a vital role in describing phenomenon of neural networks. In current article, we study class 5D bidirectional associative memory (BAM) networks that conform to objective reality. First all, prove solution BAM exists and is unique by virtue fixed point theorem some inequality techniques. Secondly, Hopf bifurcation stability are investigated exploiting criterion theory. Once more, control strategy explored two different hybrid controllers....

Anoxia, glucose starvation, calcium ionophore A23187, EDTA, glucosamine, and several other conditions that adversely affect the function of endoplasmic reticulum (ER) induce synthesis glucose-regulated class stress proteins (GRPs). The primary GRPs induced by these stresses migrate at 78 94 kDa (GRP78 GRP94). In addition, another protein approximately 150-170 (GRP170) has been previously observed is coordinately with GRP78 GRP94. To characterize this novel protein, we have prepared an...

A rabbit antiserum has been prepared using as antigen the 110,000-dalton mammalian heat-shock protein. This protein was purified for injection by two-dimensional PAGE of heat-shocked Chinese hamster ovary cells. Characterization immunoautoradiography and immunoprecipitation reveals that is specific Both techniques also reveal against which directed induced heat shock. Indirect immunofluorescence shows primarily localized at or near nucleolus in cultured cells numerous murine tissues....

To determine the thickness of facial bone wall and sagittal angulation between long axis teeth associated alveolar in maxillary esthetic zone using cone beam computed tomography (CBCT).A retrospective radiographic study CBCT images was conducted 300 patients. The distance cementoenamel junction (CEJ) crest, (4 mm apical to CEJ midroot), angle respective were measured. Descriptive statistics frequency analyses performed.The sample included 133 men 167 women (mean age, 36.9 years; range, 18 60...

Abstract Background In biomedical applications, valuable data is often split between owners who cannot openly share the because of privacy regulations and concerns. Training machine learning models on joint without violating a major technology challenge that can be addressed by combining techniques from cryptography. When collaboratively training with cryptographic technique named secure multi-party computation, price paid for keeping private an increase in computational cost runtime. A...

<p>Delayed dynamical models demonstrate significant application value in depicting interactions and internal dynamics among different biological populations. Therefore, they have garnered interest from numerous scholars both biology mathematics. Based on previous studies, this article construct a novel delayed predator-prey model. By utilizing fixed point theory, inequality methods, appropriate functions, examined the desirable properties of solutions constructed system, including...

To make full use of the advantages dual three-phase permanent magnet synchronous motor (DTP-PMSM) and open-winding (OW-PMSM), this article proposed a novel typology drive which can switch between (DTP) structure (OW) online. On basis, basic control fault-tolerant are studied to explore superiority typology. Under healthy conditions, no adjustment is required for modulation method scheme when switching DTP OW mode. By using two bidirectional thyristors, smooth modes be guaranteed. Besides,...

It is an established fact that a positive wave number plays essential role in Turing instability. However, the impact of negative on instability remains unclear. Here, we investigate effect weights and nodes FitzHugh-Nagumo model, theoretical results reveal genesis due to through stability analysis mean-field method. We obtain region continuous media system provide relationship between degree eigenvalue network matrix by Gershgorin circle theorem. Furthermore, condition about provided...

Abstract It is well known that the outbreak of infectious diseases affected by diffusion infected. However, network seldom considered in network-organized SIR model. In this work, we investigate effect maximum eigenvalue on Turing instability and show role parameters (the connection rate, network's infection, etc.) diseases. Meanwhile, stability given using matrix which proportional to rate networks infection rate. The bridge between two rates was also revealed can explain spread mechanism...

The outbreak of infectious diseases often exhibits periodicity, and this periodic behavior can be mathematically represented as a limit cycle. However, the has rarely been considered in demonstrating cluster phenomenon infection induced by diffusion (the instability modes) SIR model. We investigate emergence Turing from stable equilibrium cycle to illustrate dynamical biological mechanisms pattern formation. identify Hopf bifurcation demonstrate existence using First Lyapunov coefficient our...

Abstract A large number of empirical studies have shown that regime switching is an important characteristic temperature processes. Thus, this work develops efficient finite difference scheme with one-sided to price weather derivatives the partial differential equations (PDEs) regime-switching models. For management purposes, initial model framework then proposed manage portfolios incorporating derivatives. This also performs statistical analysis on dataset from Toronto, Canada and...

Conditions, such as anoxia or glucose starvation, which induce the glucose-regulated set of stress proteins also lead to resistance adriamycin (J. Shen, C. Hughes, Chao, J. Cai, Bartels, T. Gessner, and Subjeck, Proc. Natl. Acad. Sci. USA 84:3278-3282, 1987) etoposide. We report here that chronic anoxia, 2-deoxyglucose, calcium ionophore A23187, glucosamine, ethylene glycol-bis(beta-aminoethyl ether)-N,N,N',N'-tetraacetic acid (EGTA), tunicamycin (all specific inducers regulated system) a...