Relaxation of the Cahn-Hilliard equation for Biology

Get Complete Project Material File(s) Now! » Mathematical representation of living tissues First steps of mathematical modelling We present the formulation of a prototypal model of N N∗ components from which we can derive models that include precise effects. We...

Mathematical formulation of the MPC Controller

Get Complete Project Material File(s) Now! » Collision avoidance between vehicles Platooning is a concept where multiple vehicles follow one another with short in-tervehicle distances to improve tra c e ciency and throughput, and reduce fuel consumption due to reduced...

Change point detection by Filtered Derivative on the mean with p-Value method (FDpV) 

Get Complete Project Material File(s) Now! » HR analysis and change detection approach Physical activities induce variation of the heart rate (HR), which is de ned as the number of heartbeats per minute (bpm). However, devices do not measure the...

Perturbative Renormalization without eld theory: a rst conceptual step towards functional renormalization

Get Complete Project Material File(s) Now! » A comparison of the renormalization group and the variational approach on an approximation of a non trivial second order dierential equation We consider the following example of a non linear oscillator: y00(t) +...

Commutative Algebra and Gr¨obner bases 

Get Complete Project Material File(s) Now! » Gr¨obner bases and Linear Algebra The aim of this section is to present an efficient strategy to solve zero-dimensional systems. The first step is to compute a Gr¨obner basis for a graded ordering,...

Stochastic differential equations and their corresponding Fokker-Planck equations 

Get Complete Project Material File(s) Now! » The phases of the ISM Observations show that the ISM presents a wide variety of local properties, which are usually grouped in five phases based mostly on the ionization state of the gas...

Simulating and starting the motor in Matlab

Get Complete Project Material File(s) Now! » Simulation preparations A simulation will be conducted on a mathematical model of a three phase induction motor by starting it in VVVF. The motor will be described by a set of equations and...

Host Contact Dynamics and Diversity in Pathogen Strains 

Get Complete Project Material File(s) Now! » Multi-pathogen Systems Introduction The spread of pathogens is a complex and multifaceted phenomenon, thus epidemiol-ogy has established as an interdisciplinary research field, drawing attention from many scientific areas, including mathematics and computer science....

The role of striatal feedforward inhibition in the maintenance of absence seizures 

Get Complete Project Material File(s) Now! » Closed loops in the BG-thalamo-cortical network There are three named parallel pathways from the cortex to the BG output nuclei: cortex-striatum-GPi/SNr, the direct pathway; cortex-striatum-GPe-STN-GPi/SNr, the indirect pathway; cortex-STN-GPi/SNr, the hyperdirect pathway. The...

Partial match queries in two-dimensional quadtrees 

Get Complete Project Material File(s) Now! » An explanation for the phase transition In this section, we explain heuristically why a phase transition may occur in the asymptotics of Hn,j but not in those of Hn,n, Gn,j and Gn,n. To...