Numerical solution of calcium-mediated dendritic branch model

Parallel Numerical Solution of Intracellular Calcium Dynamics

1 Institute for Analysis and Numerics, Otto-von-Guericke University, 39106 Magdeburg, Germany. [email protected], [email protected] 2 Department of Theoretical Physics, Hahn-Meitner Institute, 14109 Berlin, Germany. [email protected] 3 Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, 12489 Berlin, Germany. [email protected]...

Numerical solution of gas solution in a fluid‎: ‎fractional derivative model

‎A computational technique for solution of mathematical model of gas solution in a fluid is presented‎. ‎This model describes the change of mass of the gas volume due to diffusion through the contact surface‎. ‎An appropriate representation of the solution based on the M"{u}ntz polynomials reduces its numerical treatment to the solution of a linear system of algebraic equations‎. ‎Numerical exa...

Branch input resistance and steady attenuation for input to one branch of a dendritic neuron model.

Mathematical solutions and numerical illustrations are presented for the steady-state distribution of membrane potential in an extensively branched neuron model, when steady electric current is injected into only one dendritic branch. Explicit expressions are obtained for input resistance at the branch input site and for voltage attenuation from the input site to the soma; expressions for AC st...

solubility of atorvastatin calcium in water-ethanol mixture: solution-mediated phase transformation

Numerical solution of a fractional order model of HIV infection of CD4+T cells.

In this paper we consider a fractional order model of HIV infection of  CD4+T cells and we transform this fractional order system of ordinary differential equations to a system of weakly singular integral equations. Afterwards we propose a Nystrom method for solving resulting system, convergence result and order of convergence is obtained by using conditions of existence and uniqueness of solut...