tutorials in mathematical biosciences - m morel, cachan

... Ca2 + out- side the cell is 1mM, that is, higher by a factor of 10 4 ( M= micromole=10 −6 mole, mM=milimole=10 −3 mole, mole=number of grams equal to the molec- ular weight of a molecule). To help maintain ... the resting membrane potential. An approximate formula for computing the resting mem- brane potential is known as the Goldman-Hodgkin-Katz (GHK) equation. For a typical mammalian cell a...

Ngày tải lên: 08/04/2014, 13:10

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Ngày tải lên: 14/03/2014, 18:20

... describing information from the chart. • By the end of the lesson Ss.will be able to read the information from the chart and write a description from it. • This design can help them to infinite ... in Every member in the group has to take part in their work going to each of the family in their their work going to each of the family in their neighbour to take the notes of the...

Ngày tải lên: 22/07/2013, 01:27

... step, m =0,wehave Sum(n, 0) = π 1 1 (n)=n = n +0. Assume that m ≥ 0andSum(n, m) =n + m. Then Sum(n, m +1)=(S ◦ π 3 3 )(n, m, Sum(n, m) ) = S(π 3 3 (n, m, Sum(n, m) )) = S(Sum(n, m) ) = Sum(n, m) +1 = ... standard for formalizing mathematical systems is first- order logic, and the main thrust of this text is studying it with a view to understanding some of its basic features and...

Ngày tải lên: 14/03/2014, 17:20

... nermissible in the nresent simulations because the simulations, being one-dimensional and monocular, do not need to account for orientational tunina or binocular matchinq. Since the simulations ... as a re- nresentation of the orioinal riatrix: finally, we examine the results obtain- ed. The utilization of clusterinq methods for attestina the oraaniration of memo- rv or revealing i...

Ngày tải lên: 14/03/2014, 22:20

... would incur some shortfall risk. Hence, fixing the limit of her shortfall S. Kusuoka, T. Maruyama (eds.), Advances in Mathematical Economics Volume 14,1 DOI: 10.1007/97 8-4 -4 3 1-5 388 3-7 1, c  Springer ... a constant”. In particular, they solved it by using the Neyman–Pearson lemma. In addition, they treated the problem minimizing the cost for a given proba- bility of succes...

Ngày tải lên: 16/03/2014, 17:20

... 2004a). Implementation The syntactic analysis is per- formed using openCCG 8 , an open source parser for Multi-Modal Combinatory Categorial Gram- mar (MMCCG). MMCCG is a lexicalist gram- mar formalism ... Direction-From or From-Source. More details on the investigation into tectogrammatical relations that build up linguistic meaning of informal mathematical text can be found in (Wolska an...

Ngày tải lên: 17/03/2014, 06:20

... 209 5.6 Distinct Matrices with Nondistinct Determinants 211 5.6.1 Introduction 211 5.6.2 Determinants with Binomial Elements 212 5.6.3 Determinants with Stirling Elements 217 5.7 The One-Variable ... reasons of economy for the solution of large sets of equations with numerical coe - cients. It demands far more computation than the unavoidable minimum. Some matrix methods are far more efficie...

Ngày tải lên: 17/03/2014, 14:29

... certain exploratory devices for investigating inverse prob- lems by using several well-known inequalities. In this branch of mathemat- ics common practice involves, for example, the Cauchy inequality E ... operation in the principal part 414 6.6 Inverse problems with smoothing overdetermination: quasilinear parabolic equations 438 6.7 Inverse problems with singular overdetermination: semi...

Ngày tải lên: 17/03/2014, 14:30

... D.Hilbert: Methods of Mathematical Physics [2] I.Rubinstein, L.Rubinstein: Partial differential equations in classical mathematical physics, 1993 [3] V.S.Vladimirov: Equations of mathematical physics, ... elliptic in a domain D ⊂ X , if (*) the principle symbol σ m (x, ξ) does not vanish for x ∈ D, ξ ∈ X ∗ \ {0} . For a s × s-matrix operator a we take det σ m instead of σ m in...

Ngày tải lên: 17/03/2014, 14:36