Osteocyte sclerostin is regulated by loading and disuse in mouse tibiae but more closely related to subsequent local osteogenesis than the peak strains engendered. The purpose of this study was assess relationship between loading-related change osteocyte expression, strain magnitude, bone modeling/remodeling. right 19-week-old female C57BL/6 mice were subjected non-invasive, dynamic axial and/or sciatic neurectomy-induced disuse. status osteocytes evaluated immunohistochemically, changes...

The structural competence of the skeleton is maintained by an adaptive mechanism in which resident bone cells respond to load-induced strains. To investigate possible role messenger molecule nitric oxide (NO) this response, we studied NO production well-characterized organ culture systems, rat long bone-derived osteoblast-like (LOBs) cells, and embryonic chick osteocytes (LOCYs) monolayer culture. In superfused cancellous cores, loading (for 15 min) produces increases NO2- (stable...

In this article, we present the transmission dynamic of acute and chronic hepatitis B epidemic problem develop an optimal control strategy to spread in a community. order do this, first model formulation find basic reproduction number [Formula: see text]. We show that if text] then disease-free equilibrium is both locally as well globally asymptotically stable. Then, prove stable, To infection, by applying three variables such isolation infected non-infected individuals, treatment...

The performance and thermal properties of convective-radiative rectangular moving exponential porous fins with variable conductivity together internal heat generation are investigated. second law thermodynamics is used to investigate entropy in the proposed fins. model numerically solved using shooting technique. It observed that depends on porosity parameter, temperature ratio, distribution, structure. noted for a decay fin higher than which greater growing fin. Moreover, decreases as...

In this paper, we studied MHD two dimensional flow of an incompressible tangent hyperbolic fluid and heat transfer towards a stretching sheet with velocity thermal slip. Lie group analysis is used to develop new similarity transformation, using these transformation the governing nonlinear partial differential equation are reduced into system coupled ordinary equation. The obtained solved numerically by applying shooting method. Effects pertinent parameters on temperature profiles, skin...

Abstract Main concern of current research is to develop a novel mathematical model for stagnation-point flow magnetohydrodynamic (MHD) Prandtl–Eyring fluid over stretchable cylinder. The thermal radiation and convective boundary condition are also incorporated. modeled partial differential equations (PDEs) with associative conditions deduced into coupled non-linear ordinary (ODEs) by utilizing proper similarity transformations. dimensionless set ODEs solved numerically via shooting method....

The current study explores the Impact of activation energy and melting heat transfer on unsteady Prandtl–Eyring model with variable thermal conductivity induced by a stretched cylinder. Cattaneo–Christov double diffusion theory is used to mass phenomena. foremost coupled partial differential equations (PDEs) time-dependent transformed ordinary ones using appropriate local similarity variables. deduced system numerically solved shooting iterative technique. characteristics key flow parameters...

Bones' functionally adaptive responses to mechanical loading can usefully be studied in the tibia by application of loads between knee and ankle normal genetically modified mice. Such also deforms fibula. Our present study was designed ascertain whether fibula adapts a similar way could thus provide an additional bone which functional adaptation. The right tibiae/fibulae C57BL/6 mice were subjected single period axial (40 cycles at 10 Hz with 10-second intervals each cycle; approximately 7...

Novel coronavirus disease is a burning issue all over the world. Spreading of novel having characteristic rapid transmission whenever air molecules or freely existed virus includes in surrounding and therefore spread follows stochastic process instead deterministic. We assume model to investigate dynamics coronavirus. To do this, we formulate according charectersitics corona then prove existence as well uniqueness global positive solution show posed-ness feasibility problem. Following theory...

In this article we propose a stochastic model to discuss the dynamics of novel corona virus disease. We formulate study long run behavior in varying population environment. For purposes divided total human into three epidemiological compartments: susceptible, covid-19 infected, recovered and along with one class reservoir. The existence uniqueness newly formulated will be studied show well-possedness model. Moreover, investigate extinction analysis as well persistence find disease...

Abstract Infection of hepatitis B virus (HBV) is a global health problem. We provide the study about dynamics that can be controlled by education campaign (awareness), vaccination, and treatment. Initially we bring constant controls in considerations for treatment, (awareness). In case controls, stability existence disease-free endemic equilibria model’s solutions. Afterwards, take time as control formulate suitable optimal problem, acquire strategy order to reduce number humans are infected...

We study the efficiency of shrinking/stretching radiative fins to improve heat transfer rate. To evaluate competence suggested fins, influence shrinking/stretching, thermogeometric parameters, surface temperature, convection conduction, radiation and Peclet number is investigated. The problem solved numerically using a shooting method. validate numerical solution, results are compared with solution differential transform Temperature distribution increases rise in conduction parameters when...

In this article, we discuss the qualitative analysis and develop an optimal control mechanism to study dynamics of novel coronavirus disease (2019-nCoV) transmission using epidemiological model. With help a suitable mathematical model, health officials often can take positive measures infection. To assume two sources (humans reservoirs) keeping in view characteristics transmission. We formulate model temporal determine minimize infected population spreading propagation. addition, understand...

The incidence of limb bone fracture and subsequent morbidity mortality due to excessive loss is increasing in the progressively ageing populations both men women. In contrast weight-bearing limb, mass protective skull vault maintained. One explanation for this could be anatomically diverse matrix characteristics generated by heterogeneous osteoblast populations. We have tested hypothesis that adult bones demonstrate site-specific characteristics, report differences at organ, cell...

This manuscript is concerned to the existence and stability of HIV/AIDS infection model with fractional order derivative. The corresponding derivative taken in Caputo-Fabrizio sense, which a new approach for such type biological models. With help Sumudu transform, some results are handled. Further results, theory uniqueness equilibrium solution provided via using nonlinear functional analysis fixed point due Banach.

The role of incidence rate is very important in the study epidemiological models. In this article, analysis an epidemic problem for transmission dynamic HBV with saturated presented, which more generalize than bilinear rate. After formulating new mathematical model, threshold quantity reproduction number [Formula: see text] investigated by using well known approach i.e. next generation matrix and investigate possible equilibriums such as disease free endemic equilibria. Then local global...

This paper deals with a simple mathematical model for the transmission dynamics of vector-borne disease that incorporates both direct and indirect transmission. The is analyzed using dynamical systems techniques it reveals backward bifurcation to occur some range parameters. In such cases, reproduction number does not describe necessary elimination effort rather described by value critical parame ter at turning point. extended assess impact control measures, re-formulating as an optimal...

The pandemic of SARS-CoV-2 virus remains a pressing issue with unpredictable characteristics which spread worldwide through human interactions. current study is focusing on the investigation and analysis fractional-order epidemic model that discusses temporal dynamics in community. It well known symptomatic asymptomatic individuals have major effect therefore, we divide total population into susceptible, asymptomatic, symptomatic, recovered groups population. Further, assume vaccine confers...