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Mathematical Modeling of Mitochondrial Swelling

Mathematical Modeling Of Mitochondrial Swelling


The mathematical models considered in this book can help to understand the swelling of mitochondria. For the first time, it presents new mathematical models of mitochondrial swelling that take into account, in particular, spatial effects. The results presented here could make it possible to predict properties of the underlying biological mechanisms. Taking into account that mitochondria could move within a cell, lead to a PDE-PDE model. The book discusses the well-posedness and long-term dynamics of solutions, depending on boundary conditions reflecting the in vitro and in vivo cases. These analytical and numerical results have inspired colleagues from the Institute of Pharmacology and Toxicology of the Helmholtz Center Munich to design new experiments justifying the theoretical and numerical results that are obtained. The book is intended for graduates students and researchers with a solid mathematical background and an interest in cell biology.



  • Condition: --
    HPB condition ratings
    • New: Item is brand new, unused and unmarked, in flawless condition.
    • Fine/Like New (F): No defects, little usage. May show remainder marks. Older books may show minor flaws.
    • Very Good (VG): Shows some signs of wear and is no longer fresh. Attractive. Used textbooks do not come with supplemental materials.
    • Good (G): Average used book with all pages present. Possible loose bindings, highlighting, cocked spine or torn dust jackets. Used textbooks do not come with supplemental materials.
    • Fair (FR): Obviously well-worn, but no text pages missing. May be without endpapers or title page. Markings do not interfere with readability. Used textbooks do not come with supplemental materials.
    • Poor (P): All text is legible but may be soiled and have binding defects. Reading copies and binding copies fall into this category. Used textbooks do not come with supplemental materials.
    Conditions Guide
  • Format: Hardcover
  • Sold by: --
  • Language: English
  • Publisher: Springer Nature
  • ISBN-13: 9783319990996
  • ISBN: 3319990993
  • Publication Year: 2018
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HPB condition ratings
  • New: Item is brand new, unused and unmarked, in flawless condition.
  • Fine/Like New (F): No defects, little usage. May show remainder marks. Older books may show minor flaws.
  • Very Good (VG): Shows some signs of wear and is no longer fresh. Attractive. Used textbooks do not come with supplemental materials.
  • Good (G): Average used book with all pages present. Possible loose bindings, highlighting, cocked spine or torn dust jackets. Used textbooks do not come with supplemental materials.
  • Fair (FR): Obviously well-worn, but no text pages missing. May be without endpapers or title page. Markings do not interfere with readability. Used textbooks do not come with supplemental materials.
  • Poor (P): All text is legible but may be soiled and have binding defects. Reading copies and binding copies fall into this category. Used textbooks do not come with supplemental materials.
Conditions Guide
HPB condition ratings
  • New: Mint condition or still sealed (SS). Absolutely perfect in every way. New.
  • Fine/Like New (EX): No defects, little sign of use, well cared for. Plays perfectly. Close to new. Not necessarily sealed or unused, but close. Could be an unopened promotional or cut item. Sometimes called: mint-minus.
  • Very Good (VG): Will show some signs that it was played and otherwise handled by a previous owner who took good care of it.
  • Good (G): Attractive and well cared for, but no longer fresh. Minor signs of wear, scuffing or scratching, but will play almost perfectly. For vinyl: barely detectable crackles or pops.
  • Fair (FR): This item is in okay condition. For vinyl: good is not so good and the record may have low level crackles or pops when playing. CD: one or more tracks may skip.
  • Poor (P): Obviously well-worn and handled. Most vinyl collectors will not buy good or below, but some tracks on CD or vinyl will play.
Conditions Guide
HPB condition ratings
  • New: This movie is unopened and brand new.
  • Fine/Like New (EX): Near new. No defects, little sign of use. Plays perfectly. Not necessarily sealed or unused, but close. No skipping; no fuzzy or snowy frames in VHS.
  • Very Good (VG): Attractive and well cared for but no longer fresh. Minor signs of wear, but will play almost perfectly. For VHS: barely detectable distortion or very few fuzzy or snowy frames.
  • Good (G): This item is in okay condition and basically works well. There may be some minor distortion on VHS tape; slight scratching or wear on DVD.
  • Fair (FR): Basically plays, but may be obviously well-worn with some scratching or tape distortion.
  • Poor (P): Disc or tape is intact, but may be scratched or stretched. There may be skips or distortion or product defects.
Conditions Guide
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