Ecological Transformation of Minority Folk Dance

In the process of folk custom development, ecological transformation is a normal phenomenon.This article will study the minority folk dance ecology transformation based on the perspective of social historical development.The author will discuss the native pattern and variable pattern for the development of the minority folk dance and analyze the positive influence and negative influence on minority dance at this stage. To address the problems in the development, the author puts forward some countermeasures and feasible suggestions for its future development.

Ecological Transformation of Minority Folk Dance

In the process of folk custom development, ecological transformation is a normal phenomenon.This article will study the minority folk dance ecology transformation based on the perspective of social historical development.The author will discuss the native pattern and variable pattern for the development of the minority folk dance and analyze the positive influence and negative influence on minority dance at this stage. To address the problems in the development, the author puts forward some countermeasures and feasible suggestions for its future development

On existence and uniqueness of the solution of elastoplastic contact problems

Contact problems and elastoplastic problems are unified and described by the variational inequality formulation, in which the constraints of the constitutional relations for elastoplastic materials and the contact conditions are relaxed totally. First, the coerciveness of the functional is proved. Then the uniqueness of the solution of variational inequality for the elastoplastic contact problems is demonstrated. The existence of the solution is also demonstrated according to the sufficient conditions for the solution of the elliptic variational inequality. A mathematical foundation is developed for the variational extremum principle of elastoplastic contact problems. The developed variational extremum forms can give an effective and strict mathematical modeling to solve contact problems with mathematical programming.

The Principal Eigenvalue for Jump Processes

A variational formula for the lower bound of the principal eigenvalue of general Markov jump processes is presented.The result is complete in the sense that the condition is fulfilled and the resulting bound is sharp for Markov chains under some mild assumptions.

Finite element model to study the effect of exogenous buffer on calcium dynamics in dendritic spines

Dendritic spine plays an important role in calcium regulation in a neuron cell.It serves as a storage site for synaptic strength and receives input from a single synapse of axon.In order to understand the calcium dynamics in a neuron cell,it is crucial to understand the calcium dynamics in dendritic spines.In this paper,an attempt has been made to study the calcium dynamics due to the exogenous buffers,in dendritic spines with the help of a sectional model.The compartments of dendritic spines are discretized using triangular elements.Appropriate boundary conditions have been framed.Finite element method has been employed to obtain the solution in the region for a two-dimensional unsteady state case.MATLAB 7.11 is used for simulation of the problem and numerical computations.The numerical results have been used to study the effect of exogenous buffers on calcium distribution in dendritic spines.

Two-dimensional finite element model to study unsteady state Ca^2＋ diffusion in neuron involving ER LEAK and SERCA

In this paper, finite element approach using two-dimensional unsteady state problem has been developed to study radial and angular calcium diffusion problem in neurons. Calcium is responsible messenger for transmitting information in communication process between neurons. The most important Ca^2＋ binding proteins for the dynamics of Ca^2＋ is itself buffer and other physiological parameters are located in Ca^2＋ stores. In this study, the model incorporates the physiological parameters like diffusion coefficient, receptors, exogenous buffers etc. Appropriate boundary conditions have been framed in view of the physiological conditions. Computer simulations in MATLAB 7.11 are employed to investigate mathematical models of reaction-diffusion equation, the details of the implementation can heavily affect the numerical solutions and, thus, the outcome simulated on Core（TM） i3 CPU M 330 @ 2.13GHz processing speed and 3GB memory.

Modeling the mechanics of calcium regulation in T lymphocyte:A finite element method approach

Changes in cellular Ca2+concentration control a variety of physiological activities including hormone and neurotransmitter release,muscular contraction,synaptic plas-ticity,ionic channel permeability,apoptosis,enzyme activity,gene transcription and reproduction process.Spatial-temporal Ca2+dynamics due to Ca2 t release,buffering and re-uptaking plays a central role in studying the Ca2+regulation in T lympho-cytes.In most cases,Ca2+has its major signaling function when it is elevated in the cytosolic compartment.In this paper,a two-dimensional mathematical model to study spatiotemporal variations of intracellular Ca2+concentration in T lymphocyte cell is proposed and investigated.The cell is assumed to be a circular shaped geomnetrical domain for the representation of properties of Ca2+dynamics within the cell includ-ing important parameters.Ca2+binding proteins for the dynamics of Ca2+are itself buffer and other physiological parameters located in Ca2+stores.The model incorpo-rates the important biophysical processes like difusion,reaction,voltage gated Ca2+channel,leak from endoplasmic reticulum(ER),efflux from cytosol to ER via sarco ER Ca2+adenosine triphosphate(SERCA)pumps,buffers and Na+/Ca2+exchanger.The proposed mathematical model is solved using a finite difference method and the finite element method.Appropriate initial and boundary conditions are incorporated in the model based on biophysical conditions of the problem.Computer simulations in MAT-LAB R2019b are employed to investigate mathematical models of reaction-diffusion equation.The effect of source,buffer,Nat/Ca2+exchanger,etc.on spatial and tempo-ral patterns of Ca2+in T lymphocyte has been studied with the help of numerical results.From the obtained results,it is observed that,the coordinated combination of the incor-porated parameters plays a significant role in Ca2+regulation in T lymphocytes.ER leak and voltage-gated Ca2+channel provides the necessary Ca2+to the cell when required for its proper functioning,while on the other side buffers,SERCA pump and Na+/Ca2+exchanger makes balance in the Ca2+concentration,so as to prevent the cell from death as higher concentration for longer time is harmful for the cell and can cause cell death.