All Stories

  1. A method for solving nonlinear integro‐differential equations
  2. Computational resolution of Diophantine equations by means of alpha‐dense curves
  3. Global optimization with alpha‐dense curves: resolution of Boolean equations
  4. Testing of Fiber Composite Leaf Spring for Heavy Axle Loads
  5. A method for solving nonlinear differential equations
  6. Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method
  7. Resolution of industrial problems by a simple and universal new method
  8. A new algorithm for solving nonlinear boundary value problems
  9. Alienor method to solve multi‐objective linear programming (MOLP)
  10. Stability of the linearization method in compartmental analysis
  11. A Taylor expansion approach using Faà di Bruno's formula for solving nonlinear integral equations of the second and third kind
  12. A new approach to the reduction of multiple integrals to simple ones using Chebyshev's kernels
  13. Evolution of the eye-end design of a composite leaf spring for heavy axle loads
  14. Integer optimization by α‐dense curves
  15. A new universal method for solving all problems of operational research
  16. Parameter identification of an HIV model by the combined Adomian/Alienor method
  17. Optimal control of cancer chemotherapy model using the coupled Adomian/Alienor methods
  18. Solving inequalities by α‐dense curves. Application to global optimization
  19. Global optimization via α‐dense curves
  20. Adomian method for solving adaptive control problem
  21. A new reducing transformation for global optimization (with Alienor method)
  22. Optimal control of chemotherapy of HIV model using the coupled Adomian/Alienor methods
  23. Combined Adomian/Alienor methods for solving adaptive control problems in chemotherapy
  24. Alienor method applied to operational research
  25. A comparison of numerical solutions of fourth‐order boundary value problems
  26. Direct identification of general linear compartmental systems by means of (n−2) compartments measures
  27. The Alienor method coupled to the Brent algorithm
  28. Solving constrained global optimization problems without penalty parameters
  29. Identification of closed Michaelis‐Menten system by a linear approach
  30. A reliable method for obtaining approximate solutions of linear and nonlinear Volterra‐Fredholm integro‐differential equations
  31. Geometrical interpretation and approximate solution of non‐linear KdV equation
  32. A new “Optimization‐Preserving‐Operator” applied to global optimization
  33. Pharmacokinetic parameters identification using the combined Alienor/Adomian methods
  34. Alienor method for global optimization with a large number of variables
  35. New methods for applying the Adomian method to partial differential equations with boundary conditions
  36. Global optimization: the Alienor mixed method with Piyavskii‐Shubert technique
  37. A different approach for solving singular two‐point boundary value problems
  38. A reliable approach to the Korteweg‐de Vries equation.
  39. Identification of an anticancerous drug model in brain tissues using Adomian/Alienor methods
  40. Coupling Adomian and spectral methods for obtaining a numerical solution of an optimal control problem in cancer research
  41. New results about the identifiability of linear open bicompartmental homogeneous system and the identification of open Michaelis‐Menten system by a linear approach
  42. A global optimization method for a large number of variables (variant of Alienor method)
  43. Design, Testing, and Simulation of Fibre Composite Leaf Springs For Heavy Axle Loads
  44. Approximation of multiple integrals by simple integrals involving periodic functions
  45. Contribution to the identification of linear compartmental systems
  46. Solving a class of linear partial differential equations with Dirichlet‐boundary conditions by the Adomian method
  47. Using the Adomian method for solving a class of boundary differential systems
  48. Application of the Adomian method for solving a class of boundary problems
  49. A computational approach to the wave equations
  50. Global optimization‐preserving operators
  51. A new approach to travelling wave solution of a fourth‐order semilinear diffusion equation
  52. Determination of eigenmodes in microchip lasers by the Adomian decomposition method
  53. New results on Adomian method
  54. α‐dense curves and global optimization
  55. Approximation method error of multiple integrals by simple integrals
  56. Approximation of multiple integrals by length of α‐dense curves
  57. Improvement of convergence of Adomian’s method using Padé approximants
  58. The decomposition method for solving first order partial differential equations
  59. Approximation of several variables functions by products or sums of one variable functions
  60. On the solution of the non‐linear Korteweg–de Vries equation by the decomposition method
  61. Approximation of the solution for a class of first order p.d.e. by Adomian method
  62. A new approach to solve a diffusion‐convection problem
  63. Approximating multiple integrals via α‐dense curves
  64. A new method for calculating multiple integrals
  65. New numerical study of Adomian method applied to a diffusion model
  66. A new formulation of Adomian method
  67. Approximation of multiple integrals by simple integrals
  68. Two optimization techniques as used in a general four compartment first-order system
  69. The genicAgent: a hybrid approach for multi‐agent problem solving
  70. Global optimization: A new variant of the Alienor method
  71. Convergence of Adomian’s method applied to algebraic equations
  72. Optimisation of two variables function with linear inequalities constraints – Contraction of the feasible region
  73. Methods for identification and control of models
  74. MODÈLES ET MÉTHODES MATHÉMATIQUES POUR LES SCIENCES DU VIVANT, by Y. Cherruault, Presses Universitaires de France – P.U.F., Paris, 1998, xi+299 pp., references (Pbk, 168 FF), ISBN 2 13 048978-8, 0246-3822.
  75. Decomposition method applied to hydrology
  76. Functional equations generating space-densifying curves
  77. New results for the Adomian method
  78. The existence of α‐dense curves with minimal length in a metric space
  79. Generation of α‐dense curves and application to global optimization
  80. Beyond the thin-sheet approximation: Adomian's decomposition
  81. On the minimal length curve that densifies the square
  82. A neural network for modeling the process of transcriptional control in eukaryotic cells
  83. Convergence of Adomian’s method applied to integral equations
  84. New results of convergence of Adomian’s method
  85. An approximation method for the optimization of continuous functions ofnvariables by densifying their domains
  86. The decomposition method applied to the Cauchy problem
  87. Optimization and optimal control for life sciences
  88. Solving frontier problems of physics by decomposition method: a new approach
  89. The theoretic calculation time associated to α‐dense curves
  90. A combinatorial study of the growing altitude elementary paths of the plane lattice Z2
  91. Generation of α‐dense curves in a cube of IRn
  92. TWONE: the revisited version
  93. An asymptotic study of growing altitude elementary paths of the cubic lattice Z3
  94. Elementary paths in a cubic lattice and application to molecular biology
  95. The decomposition method applied to a diffusion model
  96. On a reducing space‐filling transformation: application to global optimization
  97. ALIENOR and TWONE: a comparative study
  98. Characterization and generation of α-dense curves
  99. Short papers
  100. Numerical study of Lorenz's equation by the Adomian method
  101. An analytical solution for a model of two‐step imaging: application to a cardiac immunoscintigraphy strategy
  102. A nonperturbative analytical solution of immune response with time-delays and possible generalization
  103. A mathematical model for the human decision-making process
  104. Adomian's polynomials for nonlinear operators
  105. An example of an interaction model between two species
  106. The decomposition method applied to differential systems
  107. Implementation of the ALIENOR technique in the multidimensional bissection method and application to global optimization: a new accelerated algorithm
  108. Practical formulae for the calculus of multivariable adomian polynomials
  109. New ideas for proving convergence of decomposition methods
  110. Application of the decomposition method to identify the distributed parameters of an elliptical equation
  111. DIVANU: A new method for global optimization
  112. Further remarks on convergence of decomposition method
  113. A new method for global optimization in two dimensions
  114. Convergence of Adomian's method applied to nonlinear equations
  115. Global optimization in biology and medicine
  116. Convergence of Adomian's method applied to differential equations
  117. A non-linear compartmental model of human basophil activation
  118. A discrete mathematical model applied to human basophil activation
  119. Practical formulae for calculation of Adomian's polynomials and application to the convergence of the decomposition method
  120. New ideas for solving identification and optimal control problems related to biomedical systems
  121. Convergence of decomposition methods and application to biological systems
  122. Numerical study of fisher's equation by Adomian's method
  123. Adomian's method applied to identification and optimal control problems
  124. Decomposition methods: A new proof of convergence
  125. Optimization and resolution algorithm of the human fetal blood circulation model
  126. A mathematical model of the histamine release
  127. Approximation of a several variables function by a one variable function and application to global optimization
  128. An x-model for visual perception
  129. Visual modelling
  130. Modelling and identification of drug diffusion in brain
  131. A three compartment open model with two time lags
  132. A four compartment open model with first-order absorption
  133. Control of basophil degranulation
  134. Basophil degranulation control
  135. Mathematical modeling of the human fetal arterial blood circulation
  136. Convergence of Adomian's Method and Applications to Non‐linear Partial Differential Equations
  137. Diffusion from gel in brain: Modelisation and identification
  138. New results for convergence of Adomian's method applied to integral equations
  139. A Six‐Compartment Linear Mammillary Model
  140. Stability and bifurcation of a reaction-diffusion system
  141. New deterministic methods for global optimization and applications to biomedicine
  142. A Six‐compartment Model to Study the Kinetics of 14C‐labelled Glucose
  143. Alienor-Gabriel global optimization of a function of several variables
  144. A new approach for thermic exchanges in oilwells drilling
  145. A New Method for Global Optimisation (Alienor)
  146. Convergence of Adomian's method
  147. Modelling and optimization of meiotic cell division of xenopus oocytes
  148. A mathematical model of the circle of Willis in the presence of an arteriovenous anomaly
  149. A mathematical model of the allergen-triggered human basophil receptivity
  150. Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson)
  151. Convergence of Adomian's Method
  152. A new numerical method applied to biomedical systems
  153. A Study of the Effect of Decimal and Centesimal Dilutions of Arsenic on the Retention and Mobilization of Arsenic in the Rat
  154. A FIVE COMPARTMENT LINEAR MAMMILLARY MODEL
  155. Optimization of drugs' action using minimization methods
  156. A four compartment linear mammillary model
  157. A four compartment model to study the kinetics of strontium metabolism in man
  158. A three-compartment open model with first order absorption
  159. Mathematical modelling accounting for discrepancies between blood levels and pharmacodynamic effects of a drug. Application to the numerical optimization of tertatolol
  160. NEWS IDEAS FOR SOLVING OPTIMIZATION PROBLEMS RELATED TO OPTIMAL THERAPEUTICS
  161. Pharmacokinetics of Cimetidine in Humans
  162. Introduction
  163. Conclusions
  164. Problems Related to Partial Differential Equations
  165. Blood Glucose Regulation
  166. General Remarks on Modelling
  167. Errors in Modelling
  168. General Modelling in Medicine
  169. Numerical Solution of Integral Equations
  170. Optimality in Human Physiology
  171. Optimal Control in Compartmental Analysis
  172. Open Problems in Biomathematics
  173. Integral Equations in Biomedicine
  174. Relations Between Dose and Effect
  175. Identification and Control in Linear Compartmental Analysis
  176. Explicit and numerical methods for finding optimal therapeutics
  177. Numerical treatment of cardiac diseases using optimal control theory
  178. Mathematical methods in medicine
  179. Life science models
  180. INTRODUCTION TO OPTIMAL CONTROL THEORY
  181. General treatment of linear mammillary models
  182. Identification of pharmacokinetic parameters of two compartment open model with first order absorption
  183. Mathematical Modelling in Biomedicine
  184. Biomathematiques
  185. Biomathematiques, Yves Cherruault. Presses Universitaires de France.
  186. A SIMPLE METHOD FOR OPTIMIZATION
  187. Parameters identification and optimal control in pharmacokinetics
  188. Formalization of Adrenal-Postpituitary Circadian Rhythms by the Model for the Regulation of Agonistic-Antagonistic Couples. Parameter Identification
  189. Controle du recrutement des unites motrices musculaires par optimisation de l'energie utilisee
  190. NUMERICAL RESOLUTION OF A RESPIRATION MODEL
  191. Methodes numeriques pour la resolution d'equations integrales non lineaires
  192. Controle hemodynamique par optimisation de la pompe cardiaque
  193. PARAMETERS IDENTIFICATION IN BIOLOGICAL SYSTEMS
  194. SEPARATE OR COMBINED AGONISTIC-ANTAGONISTIC MODELS. A NEW APPROACH TO THE OPTIMAL CONTROL. MEDICAL IMPLICATIONS
  195. Modele de fonctionnement du nephron
  196. RESOLUTION DES EQUATIONS D'UN MODELE DE LA RESPIRATION
  197. Modele d'echanges gazeux pulmonaires: Influence de l'heterogeneite de distribution des rapports ventilation-perfusion et conductance-perfusion sur le transfert d'oxygene
  198. Computer analog simulation of a model for the regulation of ago-antagonistic couples
  199. Analytical Solution of a Respiration Model
  200. A Model for The Regulation of Agonistic-Antagonistic Couple in the Field of Medical Therapeutics. Mathematical Study and Other Applications
  201. Modele du circuit capillaire: Integration dans la regulation generale de la circulation
  202. Etude sur modèle mathématique des echanges gazeux alvéolo-capillaires. role joué dans ces echanges par la presence d'un gaz inerte
  203. Modele du catheter: equation de transfert faisant intervenir explicitement la longueur et le rayon du catheter
  204. Association des systemes tracheens et circulatoires dans le transport des gaz respiratoires chez l'insecte aerien
  205. Méthodes pour la recherche de points de selle
  206. Sur quelques équations intégrales non linéaires
  207. Optimization of drugs' action
  208. A new global optimization technique for solving partial differential equations