\r\n\t
",isbn:"978-1-83768-132-7",printIsbn:"978-1-83768-131-0",pdfIsbn:"978-1-83768-133-4",doi:null,price:0,priceEur:0,priceUsd:0,slug:null,numberOfPages:0,isOpenForSubmission:!0,isSalesforceBook:!1,hash:"8e41aab8223c29ce69c00e8c8f6f560d",bookSignature:"Prof. Vlassios Hrissanthou",publishedDate:null,coverURL:"https://cdn.intechopen.com/books/images_new/12059.jpg",keywords:"Reservoir, Check Dam, River Flow, River Sediment Transport, Stilling Basin, Weir, Bridge Pier, Scouring, Reservoir Volume Capacity, Dimensioning Flood, Dimensioning Hydrograph, Length of Spillway",numberOfDownloads:null,numberOfWosCitations:0,numberOfCrossrefCitations:null,numberOfDimensionsCitations:null,numberOfTotalCitations:null,isAvailableForWebshopOrdering:!0,dateEndFirstStepPublish:"May 20th 2022",dateEndSecondStepPublish:"June 17th 2022",dateEndThirdStepPublish:"August 16th 2022",dateEndFourthStepPublish:"November 4th 2022",dateEndFifthStepPublish:"January 3rd 2023",remainingDaysToSecondStep:"24 days",secondStepPassed:!1,currentStepOfPublishingProcess:2,editedByType:null,kuFlag:!1,biosketch:"Prof. Hrissanthou is the author and co-author of 48 publications in scientific journals, 88 publications in conference proceedings, and 12 book chapters published in English, Greek, and German. He is a member of the Hellenic Hydrotechical Association, the Deutsche Vereinigung fur Wasserwirtschaft, the European Water Resources Association (EWRA), the International Association of Hydrological Sciences (IAHS), and the International Association for Hydro-Environment Engineering and Research (IAHR).",coeditorOneBiosketch:null,coeditorTwoBiosketch:null,coeditorThreeBiosketch:null,coeditorFourBiosketch:null,coeditorFiveBiosketch:null,editors:[{id:"37707",title:"Prof.",name:"Vlassios",middleName:null,surname:"Hrissanthou",slug:"vlassios-hrissanthou",fullName:"Vlassios Hrissanthou",profilePictureURL:"https://mts.intechopen.com/storage/users/37707/images/system/37707.png",biography:"Dr.-Ing. Vlassios Hrissanthou is an Emeritus Professor at the Civil Engineering Department of Democritus University of Thrace (DUTH), Xanthi, Greece. He studied Civil Engineering at the Aristotle University of Thessaloniki (AUTH), Greece, obtaining the diploma of Civil Engineer in 1972. He then undertook postgraduate and doctoral studies on Hydrology and Hydraulic Structures at the University of Karlsruhe (KIT), Germany. Subsequently, he completed a postdoctoral study on Hydraulics and Hydraulic Structures at the University of the Armed Forces Munich (UniBw München), Germany. His teaching work includes the following graduate and postgraduate study courses: Fluid Mechanics, Hydraulics, Engineering Hydrology, River Engineering, Hydropower Engineering, Water Resources Management, Open Channel Hydraulics, Hydrology of Groundwater, Advanced Engineering Hydrology, Sediment Transport, Reservoir Design, Time Series Analysis, Selected Chapters of Hydropower Engineering, and Hydraulics of Stratified Flows. He has supervised a plethora of diploma, postgraduate and doctoral dissertations. He has participated as principal investigator in several competitive international, german and greek research projects, dealing amongst others with soil erosion and sediment transport. Professor Hrissanthou is the author and co-author of 48 publications in scientific journals, 88 publications in conference proceedings, as well as 12 publications in book chapters in English, Greek and German. Finally, he has reviewed numerous publications for 49 international scientific journals.",institutionString:"Democritus University of Thrace",position:null,outsideEditionCount:0,totalCites:0,totalAuthoredChapters:"5",totalChapterViews:"0",totalEditedBooks:"2",institution:{name:"Democritus University of Thrace",institutionURL:null,country:{name:"Greece"}}}],coeditorOne:null,coeditorTwo:null,coeditorThree:null,coeditorFour:null,coeditorFive:null,topics:[{id:"11",title:"Engineering",slug:"engineering"}],chapters:null,productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"},personalPublishingAssistant:{id:"444316",firstName:"Blanka",lastName:"Gugic",middleName:null,title:"Mrs.",imageUrl:"https://mts.intechopen.com/storage/users/444316/images/20016_n.jpg",email:"blanka@intechopen.com",biography:"As an Author Service Manager, my responsibilities include monitoring and facilitating all publishing activities for authors and editors. 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The peculiarity of the structure of their cells is the presence of special vesicles - so-called chlorosom containing bacteriochlorofils and carotenoids. These microorganisms can not use water as a donor of electrons to form molecular oxygen during photosynthesis. Electrons required for reduction of assimilation CO2, green bacteria are recovered from the sulfur compounds with low redox potential.
Ecological niche of green bacteria is low. Well known types of green bacteria - a common aquatic organisms that occur in anoxic, was lit areas of lakes or coastal sediments. In some ecosystems, these organisms play a key role in the transformation of sulfur compounds and carbon. They are adapted to low light intensity. Compared with other phototrophic bacteria, green bacteria can lives in the lowest layers of water in oxygen-anoxic ecosystems.
Representatives of various genera and species of green bacteria differ in morphology of cells, method of movement, ability to form gas vacuoles and pigment structure of the complexes. For most other signs, including metabolism, structure photosyntetic apparats and phylogeny, these families differ significantly. Each of the two most studied families of green bacteria (
Representatives of the green sulfur bacteria family
In the evolution of autotrophic organisms formed several ways to assimilate CO2, each of which is characterized by biochemical reactions that require the appropriate enzymes and reduction equivalents [9, 11]. The most common mechanism for CO2 assimilation is Calvin cycle, which was found in most plants, algae and most famous groups of autotrophic prokaryotes. In green bacteria described two alternative ways of assimilation of CO2. Revers cycle of tricarboxylic acids (RTAC) in green sulfur bacteria, first proposed by Evans in 1966. In 1989, Holo described 3-hidroksypropionat way that is characteristic of green non sulfur bacteria.
Larsen, using washed cells of
Green sulfur bacteria can use some organic compounds (sugars, amino acids and organic acids). However, adding these compounds to the environment leads only to a slight stimulation of growth of culture in the presence of CO2 and is to ensure that they are used only as additional sources of carbon [13]. In any case they are electron donors or major source of carbon. The use of these substances only if there among CO2 and H2S.
In the cells of
They make possible (RTAC), in which two molecules of CO2 formed a molecule of acetyl - CoA (Fig. 1).
The revers tricarboxylic acid cycle (RTAC) in
First, revers tricarboxylic acid cycle (RTAC) considered an additional mechanism for better functioning of rehabilitation Calvin cycle of the genus
The study of restorative (RTAC) can explain the inability of green sulfur bacteria photoheterotroph. Simultaneously with the operation of the mechanism fixation of CO2 cycle intermediates also provide cells needed organic matter for the synthesis of fatty acids (from acetyl-CoA), amino acids (from pyruvate, α-ketoglutarat acid) and carbohydrates (with pyruvate). However, since the activity of α-ketoglutaratdehidrohenaz not found in species of the genus
Recovery (RTAC) provides fixation of CO2, to be based on restorative carboxylation reaction of organic acids. Fixation of carbon dioxide occurs in three enzymatic reactions, two of which occur with photochemically reduced ferredoksyn, and one - the same way formed provided with (H+). As a result of a turnover cycle of four molecules of CO2 and 10 [H+] using the energy of three molecules of ATP synthesized molecule oxaloacetat acid is the end product cycle.
Described as "short" version of the cycle, in which 2 molecules of CO2 are fixed using for their restoration 8 [H+] and the energy of ATP. The final product in this case is acetyl-CoA, which is used to build components of cells. Addition of acetate in the culture medium promotes the accumulation of biomass and stimulates the formation of reserve polysacharides in the cells of green sulfur bacteria. Representatives of the family
Larsen and collaborators found that the bacteria
Larsen found that washed suspensions of cells
Found that in cells
To detect sugars that accumulate in cells of
It follows that the sugar is reduced
Growth of
It was found that light intensity plays an important role in CO2 assimilation in
On the intensity of photosynthesis reveals a significant influence of mineral nutrition of bacteria We shows the influence of different sources nitrogen and phosphorus supply of glucose in the cells
Simultaneous limitation of growth of culture nitrogen and phosphorus accompanied by increase in glucose in the cells. Her level of these compounds for the deficit grew by about 60%. Separately salts of nitrogen and phosphorus showed much less effect In these experiments investigated how bacteria use glucose under various conditions of cultivation. This used washed cells were incubated under light and dark. When incubation of cells at the light in the presence of CO2 and H2S levels of glucose in the cells practically did not change while under these conditions in the dark glucose concetration in the cells decreased about 2.5 times.
Obviously, in the dark using glucose as an energy source, turning towards Embdena-Meyerhof-Parnas. The level of intracellular glucose is reduced and the conditions of incubation of cells at the light in the environment without hydrogen sulfide, indicating that the use of glucose under these conditions as the sole source of renewable equivalents. In the dark, without glucose hydrogen sulfide is the only source of energy. Thus, the glucose formed by cells plays an important role in the life of cell
Nature poliglucose formed in the cells of
Comparative analysis of selected polisaharide and glycogen company "Sigma" showed that the resulting sample shows identical chemical and physical properties: white crystalline powder soluble in water, not soluble alcohol, hydrolyzed in acidic medium to form glucose. Infrared spectroscopy etylaceton extract the studied sample and glycogen "Sigma" has shown that these substances are characterized by the presence of identical functional groups, O-H bonds (the interval 3608 - 3056 cm-1), revealed specific absorption in the carbonyl group (1656 cm- 1),- CH2-group (2932 cm-1), and -C-O-H groups (1048 cm-1) and others, indicating the identity of the investigated sample of bovine liver glycogen (the drug company "Sigma") (Fig. 3.) Therefore, we first selected polisacharide of cells
Microsections of cells
Infrared spectrum of glycogen company "Sigma" (1) and glycogen cells of
The laws of accumulation and utilization of glycogen
Only adding to the environment pyruvate and acetate stimulated the growth of glycogen content in cells of
The results obtained give grounds to assert that
So when the concentration of CO2 in the atmosphere 60mM observed maximum cell growth and increased by 50% the level of glycogen. A slight reduction of carbon dioxide in the environment (20%) accompanied by a reduction in biomass, while increasing the level of glycogen in the cells by about 30%. Further reduction of CO2 was accompanied by decrease in the intensity of photosynthesis. Increase in glycogen levels in cells with the shortage of carbon dioxide in the atmosphere, apparently, can be explained by inhibition of pyruvate carboxylation reaction and its conversion in to oksaloatsetat and then using it in a constructive metabolism. Note that formed in the process of photosynthesis annoxy carbohydrates not allocated to the environment and stockpiled exclusively in the cell. As evidenced by a negative test for glucose and other sugars is reduced before and after hydrolysis of culture broth. To find ways of further use of glycogen in these experiments, free cells of
Infrared spectrum of culture fluid components
These results are consistent with data Sirevag, under which the cells incubated with
Under the conditions of incubation, washed cells
In addition to the family
Found that one of the key enzymes - piruvatsyntaza that catalyzes the formation of pyruvate from acetyl-CoA and CO2 detects activity in
Holo and Grace in 1987 found that in autotrophic conditions is inhibiting the tricarboxylic acid cycle and gliocsilate shunt, and in the cells is a new metabolic pathways in which acetyl-CoA is an intermediate product. Later Holo found that in autotrophic conditions
When culture
Hidrokspropionat role as intermediate in the fixation of CO2 was investigated Fuchs and Staff in experiments using 13C. The relative amount of 13C after growth
Hidroksypropionatnyy cycle CO2 fixation (Holo 1989 р.)
For a final check of the cycle Strauss and Fuchs had enzymatic studies and showed that the cells of green bacteria is nonsulfur activity of all enzymes required for assimilation cycle 3-hidroksypropionat reduction of carbon dioxide. In this cycle acetyl - CoA in malonil - CoA and then, reducing turns through 3-hidroksypropionat to propionil - CoA.
Thus, in green bacteria nonsulfur
Thus, green bacteria families
The governing equations of physical, biological and economical models often involve features which make it impossible to obtain their exact solution. For instance, problems where we observe “a complicated algebraic equations”, “the occurrence of a complicated integral”, in case of differential equations (DE), “a varying coefficients or nonlinear term” sometimes problems with an awkwardly shaped boundary are tough to solve with the limited methods for finding analytical solutions. The main purpose of this chapter is to describe the application of perturbation expansion techniques to the solution of DE. Approximate expressions are generated in the form of asymptotic series. These may not and often do not converge but in a truncated form of only two or three terms, provide a useful approximation to the original problem. These analytical techniques provide an alternative to the direct computer solution. Before attempting to solve these DE numerically, one should have an awareness of the perturbation approach. An example of this occurs in boundary layer problems where there are regions of rapid change of quantities such as fluid velocity, temperature or concentration. Appropriate scaling of the boundary layer dimension is required before a numerical solution can be generated which will capture the behavior in the rapidly changing region.
When a large or small parameter occurs in a mathematical model of a process there are various methods of constructing perturbation expansions for the solution of the governing equations. Often the terms in the perturbation expansions are governed by simpler equations for which the exact solution techniques are available. Even if exact solutions cannot be obtained, the numerical methods used to solve the perturbation equations approximately are often easier to construct than the numerical approximation for the original governing equation.
First, we consider a model problem for which an exact solution is available against which the perturbation expansion can be compared. A feature of the perturbation expansions is that they often form divergence series. The concept of an asymptotic expansion will be introduced and the value of a truncated divergent series will be demonstrated.
This example studies the effect of small damping on the motion of a particle. Consider a particle of mass
Integrating (1), we obtain the solution
On defining the non-dimensional velocity
with the solution
Taking account of the air resistance, and is included in the Newton’s second law as a force dependent on the velocity in a linear way, we obtain the following linear equation
where the drag constant
Let us denote the dimensionless drag constant by
where
It is possible to solve (6) exactly since it is of variables separable form. Here, we solve by an iterative process, known as perturbation expansion for the solution.
Let
The justification for this iterative scheme is that the term
The first iterate is obtained by neglecting the perturbation, thus
This is known as the unperturbed problem, and direct integration yields
The next iterate
and integration yields
Similarly,
Direct integration yields the solution
Rearranging the terms in these iterates in ascending powers of
Clearly as the iteration proceeds the expressions are refined by terms which involve increasing powers of
An alternative procedure to that of developing the expansion by iteration is to assume the form of the expansion at the outset. Thus, if we assume that the perturbation expansion involves the standard asymptotic sequence
The coefficients
Thus, the coefficients of powers of
The proof of validity of this fundamental procedure can be developed by first setting
This is valid for all nonzero values of
Integrating the equations in (11), we obtain
Using these values in (9), we obtain that
This is the same as the expansion (8) which is generated by iteration.
The IVP (6) can be solved exactly as
The perturbation expansion can be obtained from (12) by replacing the exponential function by its Maclaurin expansion, i.e.,
This is the same as the expansion (12). Thus, the perturbation expansion approach is justified in this case. One can refer the books [1, 2].
The letters
If a function
The functions are said to be of the same order as
For example, we have the following functions:
The expression
means that
We have the following functions satisfy the
Consider the expansion
is an asymptotic expansion as
The following expansion is used when (17) and (18) hold,
Here,
The sequence
Some examples of asymptotic sequences are
The general expression for an asymptotic expansion of a function
where the coefficients
where
If a function possesses an asymptotic expansion involving the sequence
Consider a function
The coefficients of the gauge functions
Refer [3, 4] for more details. For (24) to be a uniform asymptotic expansion the ultimate proportionality between
for
An example of a uniform asymptotic expansion is
An example of a nonuniform expansion is
Here, one cannot find a fixed
The expansion (27) becomes nonuniform when subsequent terms are no longer small corrections to previous terms. This occurs when subsequent terms are of the same order or of dominant order than previous terms. Subsequent terms dominate previous terms for larger
The critical case is such that subsequent terms are of the same order. This determines the region of nonuniformity. In (27), the region of nonuniformity occurs when
There are two common reasons for nonuniformities in asymptotic expansions, they are
Infinite domains which allow long-term effects of small perturbations to accumulate.
Singularities in governing equations which lead to localized regions of rapid change.
Consider the nonlinear Duffing equation
Suppose the solution may be expanded using the standard asymptotic sequence
On substituting this in (28) and in the initial conditions, we get
Equating like of powers of
and
Solving Eqs. (30) and (31), we obtain
The term
The trigonometric functions are treated as
The second common source of nonuniformities is associated with the presence of singularities. Consider, the following initial-value problem:
where
Substituting (34) in (33), we have
Equating coefficients of like powers of
Clearly,
but the initial condition
The unperturbed problem, obtained by setting
Thus, the perturbation expansion (36) is a good approximation of the exact solution away from the region
The perturbation expansion (36) generates the second member of (37), but not the first member. The coefficient
Boundary layers are regions of nonuniformity in perturbation expansions of the form (36).
Boundary layers are regions in which a rapid change occurs in the value of a variable. Some physical examples include “the fluid velocity near a solid wall”, “the velocity at the edge of a jet of fluid”, “the temperature of a fluid near a solid wall.” Ludwig Prandtl pioneered the subject of boundary layer theory in his explanation of how a quantity as small as the viscosity of common fluids such as water and air could nevertheless play a crucial role in determining their flow. The viscosity of many fluids is very small and yet taking account of this small quantity is vital. The essential point is that the viscous term involves higher order derivatives so that its omission necessitates the loss of a boundary condition. The ideal flow solution allow slip to occur between a solid and fluid. In reality the tangential velocity of a fluid relative to a solid is zero. The fluid is brought to rest by the action of a tangential stress resulting from the viscous force.
Mathematically the occurrence of boundary layers is associated with the presence of a small parameter multiplying the highest derivative in the governing equation of a process. A straightforward perturbation expansion using an asymptotic sequence in the small parameter leads to differential equations of lower order than the original governing equation. In consequence not all of the boundary and initial conditions can be satisfied by the perturbation expansion. This is an example of what is commonly referred to as a
Consider the following two-point boundary value problem:
where
then the equations associated with powers of
and the boundary conditions require
which leads to
Equation (42) require that each
The general solution of (42) is
From (42), we obtain the equations
and its solutions are
Therefore, the outer expansion is
where ‘out’ label is used to indicate that the solution is valid away from the region near
The exact solution of the BVP (38) can be obtained as
The constants
We know that
and the exact solution is
after rearranging the terms in asymptotic order, we obtain
Comparing the exact solution with the outer expansion shows that the terms involving
The behavior of the exact solution and the zeroth-order term of the outer expansion are plotted in Figure 1 for various values of
Exact solution of
By differentiating the leading order term
Outside the boundary layer, i.e., for
This indicates that
so that within the boundary layer
The variable
We assume a boundary layer expansion, called the
The inner expansion will satisfy the boundary condition at
with solutions
The boundary condition at
The leading order terms in the ‘inner’ and ‘outer’ expansions are to be matched at the ‘edge of the boundary layer’. Of course there is no precise edge of the boundary layer, we simply know that it has thickness of order
Equating at
If, instead we choose to match at
These two expressions differ in the argument of the exponential and differ algebraically with
where the remainder is uniformly
The limit
Applying these conditions to the current example leads to
which yields
To prove that these are valid leading terms we consider
We conclude that the matching condition has correctly predicted the leading order terms.
As single composite expression for these leading order terms can be constructed using the combination
where
For the current example,
Prandtl’s matching condition can only be used for the leading order terms in the asymptotic expansions.
The outer, inner and composite expansions of the BVP (38) are presented in Figures 2 and 3 for different values of
Outer, inner and composite expansions. (a) For ε = 0.2; (b) For ε = 0.1.
Outer, inner and composite expansions. (a) For ε = 0.05; (b) For ε = 0.025.
Consider the following linear DE
The following general statements can be made about the boundary layer location and the nature of the inner expansion.
The solution of this equation is
where
The boundary layers which we have met so far have all had thickness
There are practical situations where the boundary layer thickness will be of
Consider the example
Since the signs of the first and second derivatives are the same, and the boundary layer will occur at
The one-term outer expansion
To determine the inner expansion we first wrongly assume that the boundary layer thickness is
If the appropriate stretching transformation has been used for the boundary layer then
The solution is
Thus, we reject the assumption of a boundary layer of thickness
Next, suppose that the boundary layer thickness is
Again we argue that if the appropriate stretching has been used then all derivatives are of
The solution is
The correct choice of stretching transformation is
The dominant equation satisfied by
The solution is
which leads to
The one-term composite expansion is
The leading order boundary layer equation associated with the stretching transformation
The composite expansion (62) can be verified by comparing with the exact solution of (56). The general solution of (56) is
where
We expand
so that
Using the boundary conditions and by neglecting the transcendentally small term
There is an apparent discrepancy between (64) and the composite expansion (62) in the coefficient of the
Consider the following two-point BVP:
We seek a one-term composite expansion for the above BVP. We will tentatively assume that a boundary layer occurs at
The one term outer expansion satisfies
Its exact solution is
Let us assume that the boundary layer thickness is of
The second-term is always dominated by the third, so the principle of degeneracy requires the first term to be of the same order as the third term (i.e.,
The solution of the above problem is
which yields
The on-term composite expansion is
We conclude this example with the observation that a choice for the value of the index
Thus, if
which gives
Consider the BVP:
The coefficient of the first derivative (convective term) is positive in
with the solution
The outer expansion for negative
with the solution
We suppose the boundary layer at
The third term is dominated by the second term. The first term has the same order as the second term if
Its solution can be given by
Prandtl;s matching condition applied to the region
and corresponding for
Using the limiting values
A composite expansion cannot be formed in the standard way when there is more than one outer solution. However, the behavior of
Utilizing this enables a uniformly valid one-term composite expansion to be constructed which yields the correct coefficient of
Consider the following semilinear
The coefficient of the first and second order derivatives have the same sign, so the boundary layer will occur at the left boundary
and the solution is
The one-term inner expansion
which gives
Next, consider the quasilinear problem
The nonlinearity is associated with the first derivative term. The location of the boundary layer depends on the relative sign of the first and second derivative coefficients. If we assume that the dependent variable is nonnegative throughout the interval
with the solution
Assuming that the boundary layer thickness is
Its solution is
Application of perturbation techniques to partial differential equations, and other types of problems can be seen in the books [5, 6].
The authors declare no conflict of interest.
I owe a great debt to my mentor Prof. S Natesan, Department of Mathematics, IIT Guwahati, who introduced me to this topic. The chapter was discussed during my stay at IIT Guwahati.
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Our findings showed that (1) lesions of the central amygdala inhibited the HPA axis responses to a variety of stressful stimuli. (2) Depletion of norepinephrine or serotonin in the amygdala and hypothalamus and local injections of norepinephrine and serotonin receptor antagonists into the central amygdala inhibited the HPA axis responses to neural stress. Norepinephrine and serotonin agonists injected into the amygdala caused an increase in HPA axis activity. The activation of the amygdala facilitated the in vivo release of serotonin from the paraventricular nucleus following electrical stimulation of the brainstem raphe nuclei. (3) Electrical stimulation of the amygdala impaired the glucocorticoid negative feedback action following neural stressful stimuli probably via a decrease in hippocampal corticosteroid receptors.",book:{id:"5485",slug:"the-amygdala-where-emotions-shape-perception-learning-and-memories",title:"The Amygdala",fullTitle:"The Amygdala - Where Emotions Shape Perception, Learning and Memories"},signatures:"Joseph Weidenfeld and Haim Ovadia",authors:[{id:"190851",title:"Ph.D.",name:"Haim",middleName:null,surname:"Ovadia",slug:"haim-ovadia",fullName:"Haim Ovadia"},{id:"192823",title:"Prof.",name:"Joseph",middleName:null,surname:"Weidenfeld",slug:"joseph-weidenfeld",fullName:"Joseph Weidenfeld"}]}],mostDownloadedChaptersLast30Days:[{id:"54675",title:"The Key Role of the Amygdala in Stress",slug:"the-key-role-of-the-amygdala-in-stress",totalDownloads:2909,totalCrossrefCites:3,totalDimensionsCites:4,abstract:"Several data highlighted that stress exposure is strongly associated with several psychiatric disorders. 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Pharmacological and lesion studies of the basolateral, central, and medial subdivisions of the amygdala have shown that their activation induces anxiogenic effects, while their inactivation produces anxiolytic effects. Many neurotransmitters and stress mediators acting at these amygdalar nuclei can modulate the behavioral expression of anxiety. These mediators may be released from different brain regions in response to different types of stressors. The amygdala is in close relationship with several brain regions within the brain circuitry that orchestrates the expression of anxiety. Recent developments in optogenetics have begun to unveil details on how these areas interact.",book:{id:"5485",slug:"the-amygdala-where-emotions-shape-perception-learning-and-memories",title:"The Amygdala",fullTitle:"The Amygdala - Where Emotions Shape Perception, Learning and Memories"},signatures:"Sergio Linsambarth, Rodrigo Moraga-Amaro, Daisy Quintana-\nDonoso, Sebastian Rojas and Jimmy Stehberg",authors:[{id:"144923",title:"Dr.",name:"Jimmy",middleName:null,surname:"Stehberg",slug:"jimmy-stehberg",fullName:"Jimmy Stehberg"},{id:"194182",title:"Ph.D. Student",name:"Rodrigo",middleName:null,surname:"Moraga-Amaro",slug:"rodrigo-moraga-amaro",fullName:"Rodrigo Moraga-Amaro"},{id:"194183",title:"M.Sc.",name:"Sergio",middleName:null,surname:"Linsambarth",slug:"sergio-linsambarth",fullName:"Sergio Linsambarth"}]},{id:"32387",title:"The Mystery of P2X7 Ionotropic Receptor: From a Small Conductance Channel to a Large Conductance Channel",slug:"the-mystery-of-p2x7-receptor-from-a-small-channel-to-a-big-pore",totalDownloads:2398,totalCrossrefCites:0,totalDimensionsCites:0,abstract:null,book:{id:"1592",slug:"neuroscience-dealing-with-frontiers",title:"Neuroscience",fullTitle:"Neuroscience - Dealing With Frontiers"},signatures:"R.X. Faria, L.G.B. Ferreira and L.A. Alves",authors:[{id:"76663",title:"Prof.",name:"Luiz A.",middleName:null,surname:"Alves",slug:"luiz-a.-alves",fullName:"Luiz A. Alves"},{id:"76674",title:"Mr.",name:"Leonardo",middleName:null,surname:"Braga",slug:"leonardo-braga",fullName:"Leonardo Braga"},{id:"79615",title:"Dr.",name:"Robson",middleName:null,surname:"Faria",slug:"robson-faria",fullName:"Robson Faria"}]},{id:"32399",title:"Brain Energy Metabolism in Health and Disease",slug:"brain-energy-metabolism-in-health-and-disease",totalDownloads:9099,totalCrossrefCites:1,totalDimensionsCites:10,abstract:null,book:{id:"1592",slug:"neuroscience-dealing-with-frontiers",title:"Neuroscience",fullTitle:"Neuroscience - Dealing With Frontiers"},signatures:"Felipe A. Beltrán, Aníbal I. Acuña, María Paz Miró and Maite A. Castro",authors:[{id:"107041",title:"Dr.",name:"Maite A",middleName:null,surname:"Castro",slug:"maite-a-castro",fullName:"Maite A Castro"},{id:"109692",title:"Mr.",name:"Felipe A",middleName:null,surname:"Beltran",slug:"felipe-a-beltran",fullName:"Felipe A Beltran"},{id:"109695",title:"Mr.",name:"Aníbal",middleName:"I.",surname:"Acuña",slug:"anibal-acuna",fullName:"Aníbal Acuña"},{id:"109696",title:"Ms.",name:"Maria Paz",middleName:null,surname:"Miro",slug:"maria-paz-miro",fullName:"Maria Paz Miro"}]},{id:"54509",title:"The Contribution of the Amygdala to Reward-Related Learning and Extinction",slug:"the-contribution-of-the-amygdala-to-reward-related-learning-and-extinction",totalDownloads:1718,totalCrossrefCites:3,totalDimensionsCites:3,abstract:"There has been substantial research into the role of the amygdala in fear conditioning and extinction of conditioned fear. The role of the amygdala in appetitive conditioning is relatively less explored. Here, we will review research into the role of the amygdala in reward‐related learning. Research to date suggests that the basolateral and central amygdala are responsible for learning about distinct aspects of a reinforcing event. For example, the basolateral amygdala is essential for distinguishing and choosing between specific rewards based on the specific‐sensory properties of those rewards as well as updating the relative value of specific rewarding events. In contrast, the central amygdala is involved in encoding reinforcement more generally and for regulating motivational influences on responding. We will also review what is known about the role of the amygdala in extinction of reward‐related behaviours and highlight areas for future research.",book:{id:"5485",slug:"the-amygdala-where-emotions-shape-perception-learning-and-memories",title:"The Amygdala",fullTitle:"The Amygdala - Where Emotions Shape Perception, Learning and Memories"},signatures:"Rose Chesworth and Laura Corbit",authors:[{id:"193670",title:"Dr.",name:"Laura",middleName:null,surname:"Corbit",slug:"laura-corbit",fullName:"Laura Corbit"},{id:"194020",title:"Dr.",name:"Rose",middleName:null,surname:"Chesworth",slug:"rose-chesworth",fullName:"Rose Chesworth"}]}],onlineFirstChaptersFilter:{topicId:"214",limit:6,offset:0},onlineFirstChaptersCollection:[],onlineFirstChaptersTotal:0},preDownload:{success:null,errors:{}},subscriptionForm:{success:null,errors:{}},aboutIntechopen:{},privacyPolicy:{},peerReviewing:{},howOpenAccessPublishingWithIntechopenWorks:{},sponsorshipBooks:{sponsorshipBooks:[],offset:8,limit:8,total:0},allSeries:{pteSeriesList:[{id:"14",title:"Artificial Intelligence",numberOfPublishedBooks:9,numberOfPublishedChapters:87,numberOfOpenTopics:6,numberOfUpcomingTopics:0,issn:"2633-1403",doi:"10.5772/intechopen.79920",isOpenForSubmission:!0},{id:"7",title:"Biomedical Engineering",numberOfPublishedBooks:12,numberOfPublishedChapters:98,numberOfOpenTopics:3,numberOfUpcomingTopics:0,issn:"2631-5343",doi:"10.5772/intechopen.71985",isOpenForSubmission:!0}],lsSeriesList:[{id:"11",title:"Biochemistry",numberOfPublishedBooks:27,numberOfPublishedChapters:287,numberOfOpenTopics:4,numberOfUpcomingTopics:0,issn:"2632-0983",doi:"10.5772/intechopen.72877",isOpenForSubmission:!0},{id:"25",title:"Environmental Sciences",numberOfPublishedBooks:1,numberOfPublishedChapters:9,numberOfOpenTopics:4,numberOfUpcomingTopics:0,issn:"2754-6713",doi:"10.5772/intechopen.100362",isOpenForSubmission:!0},{id:"10",title:"Physiology",numberOfPublishedBooks:11,numberOfPublishedChapters:139,numberOfOpenTopics:4,numberOfUpcomingTopics:0,issn:"2631-8261",doi:"10.5772/intechopen.72796",isOpenForSubmission:!0}],hsSeriesList:[{id:"3",title:"Dentistry",numberOfPublishedBooks:8,numberOfPublishedChapters:129,numberOfOpenTopics:0,numberOfUpcomingTopics:2,issn:"2631-6218",doi:"10.5772/intechopen.71199",isOpenForSubmission:!1},{id:"6",title:"Infectious Diseases",numberOfPublishedBooks:13,numberOfPublishedChapters:107,numberOfOpenTopics:3,numberOfUpcomingTopics:1,issn:"2631-6188",doi:"10.5772/intechopen.71852",isOpenForSubmission:!0},{id:"13",title:"Veterinary Medicine and Science",numberOfPublishedBooks:10,numberOfPublishedChapters:103,numberOfOpenTopics:3,numberOfUpcomingTopics:0,issn:"2632-0517",doi:"10.5772/intechopen.73681",isOpenForSubmission:!0}],sshSeriesList:[{id:"22",title:"Business, Management and Economics",numberOfPublishedBooks:1,numberOfPublishedChapters:12,numberOfOpenTopics:2,numberOfUpcomingTopics:1,issn:"2753-894X",doi:"10.5772/intechopen.100359",isOpenForSubmission:!0},{id:"23",title:"Education and Human Development",numberOfPublishedBooks:0,numberOfPublishedChapters:0,numberOfOpenTopics:2,numberOfUpcomingTopics:0,issn:null,doi:"10.5772/intechopen.100360",isOpenForSubmission:!1},{id:"24",title:"Sustainable Development",numberOfPublishedBooks:0,numberOfPublishedChapters:11,numberOfOpenTopics:4,numberOfUpcomingTopics:1,issn:null,doi:"10.5772/intechopen.100361",isOpenForSubmission:!0}],testimonialsList:[{id:"13",text:"The collaboration with and support of the technical staff of IntechOpen is fantastic. The whole process of submitting an article and editing of the submitted article goes extremely smooth and fast, the number of reads and downloads of chapters is high, and the contributions are also frequently cited.",author:{id:"55578",name:"Antonio",surname:"Jurado-Navas",institutionString:null,profilePictureURL:"https://s3.us-east-1.amazonaws.com/intech-files/0030O00002bRisIQAS/Profile_Picture_1626166543950",slug:"antonio-jurado-navas",institution:{id:"720",name:"University of Malaga",country:{id:null,name:"Spain"}}}},{id:"6",text:"It is great to work with the IntechOpen to produce a worthwhile collection of research that also becomes a great educational resource and guide for future research endeavors.",author:{id:"259298",name:"Edward",surname:"Narayan",institutionString:null,profilePictureURL:"https://mts.intechopen.com/storage/users/259298/images/system/259298.jpeg",slug:"edward-narayan",institution:{id:"3",name:"University of Queensland",country:{id:null,name:"Australia"}}}}]},series:{item:{id:"25",title:"Environmental Sciences",doi:"10.5772/intechopen.100362",issn:"2754-6713",scope:"\r\n\tScientists have long researched to understand the environment and man’s place in it. The search for this knowledge grows in importance as rapid increases in population and economic development intensify humans’ stresses on ecosystems. Fortunately, rapid increases in multiple scientific areas are advancing our understanding of environmental sciences. Breakthroughs in computing, molecular biology, ecology, and sustainability science are enhancing our ability to utilize environmental sciences to address real-world problems.
\r\n\tThe four topics of this book series - Pollution; Environmental Resilience and Management; Ecosystems and Biodiversity; and Water Science - will address important areas of advancement in the environmental sciences. They will represent an excellent initial grouping of published works on these critical topics.