Mathematical model of tumor invasion along linear or tubular structures
We examine a mathematical model of a population of cells distributed over a linear or tubular structure. Growth of cells is regulated by a growth factor, which can diffuse over the structure. Aside from this, production of cells and of the growth factor is governed by a pair of ordinary differential...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
17 October 2005
|
| In: |
Mathematical and computer modelling
Year: 2005, Jahrgang: 41, Heft: 10, Pages: 1097-1108 |
| DOI: | 10.1016/j.mcm.2005.05.005 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.1016/j.mcm.2005.05.005 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0895717705001688 
|
| Verfasserangaben: | A. Marciniak-Czochra, M. Kimmel |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1577806514 | ||
| 003 | DE-627 | ||
| 005 | 20220814195204.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180720s2005 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.mcm.2005.05.005 |2 doi | |
| 035 | |a (DE-627)1577806514 | ||
| 035 | |a (DE-576)507806514 | ||
| 035 | |a (DE-599)BSZ507806514 | ||
| 035 | |a (OCoLC)1341013877 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Marciniak-Czochra, Anna |d 1974- |e VerfasserIn |0 (DE-588)1044379626 |0 (DE-627)771928432 |0 (DE-576)397031505 |4 aut | |
| 245 | 1 | 0 | |a Mathematical model of tumor invasion along linear or tubular structures |c A. Marciniak-Czochra, M. Kimmel |
| 264 | 1 | |c 17 October 2005 | |
| 300 | |a 12 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 20.07.2018 | ||
| 520 | |a We examine a mathematical model of a population of cells distributed over a linear or tubular structure. Growth of cells is regulated by a growth factor, which can diffuse over the structure. Aside from this, production of cells and of the growth factor is governed by a pair of ordinary differential equations. We find conditions under which diffusion causes destabilization of the spatially homogeneous steady state, leading to exponential growth and apparently chaotic spatial patterns, following a period of almost constancy. This phenomenon may serve as a mathematical explanation of “unexpected” rapid growth and invasion of temporarily stable structures composed of cancer cells. | ||
| 700 | 1 | |a Kimmel, Marek |d 1953- |e VerfasserIn |0 (DE-588)1146381581 |0 (DE-627)1007898992 |0 (DE-576)185553214 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Mathematical and computer modelling |d Amsterdam [u.a.] : Elsevier Science, 1988 |g 41(2005), 10, Seite 1097-1108 |h Online-Ressource |w (DE-627)320420868 |w (DE-600)2002543-9 |w (DE-576)253758653 |7 nnas |a Mathematical model of tumor invasion along linear or tubular structures |
| 773 | 1 | 8 | |g volume:41 |g year:2005 |g number:10 |g pages:1097-1108 |g extent:12 |a Mathematical model of tumor invasion along linear or tubular structures |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1016/j.mcm.2005.05.005 |x Resolving-System |x Verlag |3 Volltext |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/article/pii/S0895717705001688 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180720 | ||
| 993 | |a Article | ||
| 994 | |a 2005 | ||
| 998 | |g 1044379626 |a Marciniak-Czochra, Anna |m 1044379626:Marciniak-Czochra, Anna |d 700000 |d 708000 |e 700000PM1044379626 |e 708000PM1044379626 |k 0/700000/ |k 1/700000/708000/ |p 1 |x j | ||
| 999 | |a KXP-PPN1577806514 |e 3019148812 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"recId":"320420868","pubHistory":["10.1988 - 58.2013; damit Ersch. eingest."],"id":{"zdb":["2002543-9"],"eki":["320420868"]},"disp":"Mathematical model of tumor invasion along linear or tubular structuresMathematical and computer modelling","part":{"volume":"41","extent":"12","text":"41(2005), 10, Seite 1097-1108","pages":"1097-1108","year":"2005","issue":"10"},"note":["Gesehen am 15.03.23"],"title":[{"title":"Mathematical and computer modelling","title_sort":"Mathematical and computer modelling","subtitle":"an international journal"}],"origin":[{"publisher":"Elsevier Science","dateIssuedKey":"1988","dateIssuedDisp":"1988-2013","publisherPlace":"Amsterdam [u.a.]"}],"type":{"media":"Online-Ressource","bibl":"periodical"},"language":["eng"]}],"id":{"eki":["1577806514"],"doi":["10.1016/j.mcm.2005.05.005"]},"recId":"1577806514","name":{"displayForm":["A. Marciniak-Czochra, M. Kimmel"]},"physDesc":[{"extent":"12 S."}],"language":["eng"],"note":["Gesehen am 20.07.2018"],"type":{"media":"Online-Ressource","bibl":"article-journal"},"origin":[{"dateIssuedKey":"2005","dateIssuedDisp":"17 October 2005"}],"title":[{"title":"Mathematical model of tumor invasion along linear or tubular structures","title_sort":"Mathematical model of tumor invasion along linear or tubular structures"}],"person":[{"display":"Marciniak-Czochra, Anna","family":"Marciniak-Czochra","given":"Anna","role":"aut"},{"display":"Kimmel, Marek","family":"Kimmel","given":"Marek","role":"aut"}]} | ||
| SRT | |a MARCINIAKCMATHEMATIC1720 | ||