Define the future challenges of spatial processes, Biology

Assignment Help:

Define the Future challenges of spatial processes?

Understanding the dynamics of stochastic spatial systems, systems with a multitude of spatial scales, and systems along with underlying heterogeneity present fundamental mathematical challenges. From a biological point of view, queries such as the performance of moderately-sized neuronal networks (Pinto and Ermentrout 2001a,b), coexistence in ecological communities such as forests, and where to site marine or terrestrial reserves along heterogeneous coastlines and landscapes, provide motivation for the development of new mathematical approaches. For deterministic models, much more attention needs to be paid to the development of methods for gaining an understanding of the dynamics of nonlinear spatial systems described by reaction diffusion equations, or integro-difference equations, or perhaps more common treatments (for example Weinberger et al., 2002).

Methods will need to be developed to provide analytic approximations to describe the dynamics of stochastic spatial models (building upon current work such as Bolker and Pacala, 1997) that can be applied to more complex systems. Additional understanding of the dynamics of coupled oscillators (see Pinto and Ermentrout, 2001a, b) will offer insights not just into the dynamics of neural networks, but of coupled systems at another biological scales ranging from the population to the ecosystem. Ascertaining the impact of heterogeneities at small spatial scales on the performance of ecological and other systems at larger spatial scales can depend on the use and further development of methods based on homogenization (for example Powell and Zimmerman, 2002), which offers an appropriate way to look at spatial averages of dynamics.


Related Discussions:- Define the future challenges of spatial processes

What are chylomicrons, What are chylomicrons? Yes, so you now know that...

What are chylomicrons? Yes, so you now know that chylomicrons are basically lipoprotein molecules which are water miscible. They are poured into lymphatic vessels through lacte

Name the compound that is phosphorylated for atp formation, What is the com...

What is the compound that is phosphorylated for ATP formation? What is the resulting compound when ATP liberates energy? ATP, or adenosine triphosphate, is produced after the

Endocrine glands - kidney, KIDNEY S - Origin . They develop from the ...

KIDNEY S - Origin . They develop from the mesoderm of the embryo. The kidneys secrete three hormones: renin, erythropoetin and calcitriol. (i) Renin . Whenever the rat

Urea molasses mineral block (ummb) licks, Urea molasses mineral block (UMMB...

Urea molasses mineral block (UMMB) licks Development of urea molasses mineral block licks is another technology being increasingly used in several parts of India and such lick

Agro industrial-non-edible and other minor oilseed cakes, NON-EDIBLE AND OT...

NON-EDIBLE AND OTHER MINOR OILSEED CAKES Besides the annually cultivated oilseed crops namely, groundnut, sesame, mustard, linseed, coconut, cotton, sunflower and safflower, I

Define intermediary metabolites of an athletes, Define Intermediary Metabol...

Define Intermediary Metabolites of an Athletes? Coenzyme Q10 - for the physically active; Co-Q 10 activates cell energy. While you carry out any physical act; run, jump, throw,

Sociability - qualitative characters, Sociability (Gregariousness) Soc...

Sociability (Gregariousness) Sociability refers to the nature of grouping of individual plants, that is, whether they grow singly, in patches, in colonies or evenly intermixed

What is the defense mechanism to stop an infection, What is the defense mec...

What is the defense mechanism that begins to work when inflammation fails to stop an infection? If the inflammatory attack is not enough to halt the infectious process the body

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd