27 research outputs found
Using Machine Learning and Computer Simulations to Analyse Neuronal Activity in the Cerebellar Nuclei During Absence Epilepsy
Absence epilepsy is a neurological disorder that commonly occurs in children. Some studies have shown that absence seizures predominantly originate either in the thalamus or the cerebral cortex. Some cerebellar nuclei (CN) neurons project to these brain areas, as explained further in Fig. 2.6 in Chapter 2. Also, some CN neurons have been observed to show modulation during the absence seizures. This indicates that they somehow participate in the seizure and hence are referred to as "participating neurons" in this thesis. In this research, I demonstrate how machine learning techniques and computer simulations can be applied to investigate the properties and the input conditions present in these participating neurons. My investigation found a sub-group of CN neurons, with similar interictal spiking activity, spiking activity between the seizures, that are most likely to participate in seizures. To investigate the input conditions present in the CN neurons that produce this type of interictal activity, I used a morphologically realistic conductance based model of an excitatory CN projection neuron [66] and optimised the input parameters to this model using an Evolutionary Algorithm (EA). The results of the EA revealed that these participating CN neurons receive a synchronous and bursting input from Purkinje cells and bursting input with long intervals(approx. 500ms) from mossy fibre. The same interictal activity can also be produced when the Purkinje cell input to the CN neuron is asynchronous. The excitatory input in this case also had long interburst intervals but there is a decrease in excitatory and inhibitory synaptic weight. Surprisingly, a slight change in these input parameters can change the interictal spiking pattern to an ictal spiking pattern, the spiking pattern observed during absence seizures. I also discovered that it is possible to prevent a participating CN neuron from taking part in the seizures by blocking the Purkinje cell input
Effect of Hydrocolloids on the Quality Parameters of Puri
This Dissertation / Report is the outcome of investigation carried out by the creator(s) / author(s) at the department/division of Central Food Technological Research Institute (CFTRI), Mysore mentioned below in this page
Traditional Wheat based Products
This Dissertation / Report is the outcome of investigation carried out by the creator(s) / author(s) at the department/division of Central Food Technological Research Institute (CFTRI), Mysore mentioned below in this page
Generalized Brauer dimension of semi-global fields
Let be a one variable function field over a complete discretely valued field with residue field . Let be a positive integer, coprime to the characteristic of . Given a finite subgroup in the -torsion part of the Brauer group , we define the index of to be the minimum of the degrees of field extensions which split all elements in . In this thesis, we improve an upper bound for the index of , given by Parimala-Suresh, in terms of arithmetic invariants of and . As a simple application of our result, given a quadratic form , where is a function field in one variable over an -local field, we provide an upper-bound to the minimum of degrees of field extensions so that the Witt index of becomes the largest possible.Ph.D.Includes bibliographical reference
On free ring extensions of degree n
Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of B), and {1,x…,xn−1} is a basis. Parimala and Sridharan [2], and the author investigated a class of free ring extensions called generalized quaternion algebras in which b=−1 and ρ is of order 2. The purpose of the present paper is to generalize a characterization of a generalized quaternion algebra to a free ring extension of degree n in terms of the Azumaya algebra. Also, it is shown that a one-to-one correspondence between the set of invariant ideals of B under ρ and the set of ideals of B(x) leads to a relation of the Galois extension B over an invariant subring under ρ to the center of B
மூணாங்கொடி நாவல் உணர்த்தும் சமூக அவலங்கள் / Social Injustices indicated in the Novel Moonaankodi
Literature shows us the background of society to the pages of life unknown to others. Movies, TV dramas, advertisements, social media, shows the problems in the society or community. Exploitation is seen everywhere and can be seen in the lives of fellow men. Man abuses the power of education, to enslave others lives and the problems regarding economic backwardness in various aspects are seen in the novel Moonaankodi. The author records the suffering of the people in his novel and how they suffer to get liberation is highly pathetic. People of the novel have succumbed to the discrimination of the caste and untouchability has long been the stamp of the oppressed people. Even modern India is full of secular and democratic ideas; many people suffer in the name of untouchability. Indeed, Untouchability is the modern way to pressure the people of the lower classes and make them subjugated and eternally oppressed. As it portrays all sorts of endangers targeted upon the suppressed people, Moonaankodi novel is undoubtedly a novel dedicated to the oppressed
Embedding functor for classical groups and Brauer–Manin obstruction
Let K be a global field of characteristic not 2. The embedding problem for maximal tori in a classical group G can be described in terms of algebras with involution. The aim of this paper is to give an explicit description of the obstruction group to the Hasse principle in terms of ramification properties of certain commutative étale algebras, and to show that this group is isomorphic to one previously defined by the second author. This builds on our previous work as well as on results of Borovoi. In particular, we show that this explicit obstruction group can be identified with the group of Borovoi (J. Reine Angew. Math. 473 (1996), 181–194), where X is the homogeneous space associated to the embedding functor defined by the second author (Comment. Math. Helv. 89 (2014), 671–717).CSA
A local-global principle for twisted flag varieties: We prove a local-global principle for twisted flag varieties over a semiglobal field.
International audienceWe prove a local-global principle for twisted flag varieties over a semiglobal field
A local-global principle for twisted flag varieties: We prove a local-global principle for twisted flag varieties over a semiglobal field.
International audienceWe prove a local-global principle for twisted flag varieties over a semiglobal field
