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Biological remodelling: Stationary energy, configurational change, internal variables and dissipation

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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K. Garikipati, J. E. Olberding, E. M. Arruda, K. Grosh, H. Narayanan, S. Calve

Tissues and Organs · Submitted 16 Jun 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A variational treatment is introduced by assuming that stationary energy states are attained by changes in microstructure via one of the two mechanisms--Cases I and II.

how it is stated · asserted 0.89 read the record →

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arXiv IDq-bio/0506023 (version 2)
Pith IDFJVLMOGQ, Pith's permanent record of this paper and its review
CitationE. M. Arruda, H. Narayanan, J. E. Olberding, K. Garikipati, K. Grosh, S. Calve. "Biological remodelling: Stationary energy, configurational change, internal variables and dissipation." arXiv:q-bio/0506023 (2005). https://pith.science/paper/FJVLMOGQ
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,465 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.14 · human participants 0.05 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.09 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Remodelling is defined as an evolution of microstructure or variations in the configuration of the underlying manifold. The manner in which a biological tissue and its subsystems remodel their structure is treated in a continuum mechanical setting. While some examples of remodelling are conveniently modelled as evolution of the reference configuration (Case I), others are more suited to an internal variable description (Case II). In this paper we explore the applicability of stationary energy states to remodelled systems. A variational treatment is introduced by assuming that stationary energy states are attained by changes in microstructure via one of the two mechanisms--Cases I and II. An example is presented to illustrate each case. The example illustrating Case II is further studied in the context of the thermodynamic dissipation inequality.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Remodelling is defined as an evolution of microstructure or variations in the configuration of the underlying manifold. background 1.00 0.12 0.04 asserted 1.00
s1 The manner in which a biological tissue and its subsystems remodel their structure is treated in a continuum mechanical setting. method 0.44 0.49 0.03 asserted 0.97
s2 While some examples of remodelling are conveniently modelled as evolution of the reference configuration (Case I), others are more suited to an internal variable description (Case II). background 0.91 0.14 0.06 asserted 0.59
s3 In this paper we explore the applicability of stationary energy states to remodelled systems. contribution 1.00 0.72 0.08 asserted 0.54
s4 A variational treatment is introduced by assuming that stationary energy states are attained by changes in microstructure via one of the two mechanisms--Cases I and II. method 0.82 0.87 0.14 asserted 0.89
s5 An example is presented to illustrate each case. contribution 0.55 0.85 0.04 asserted 0.99
s6 The example illustrating Case II is further studied in the context of the thermodynamic dissipation inequality. method 0.57 0.85 0.07 asserted 0.93

What kind of paper the classifier reports this is: theoretical result 0.81 · evidence from proof or derivation 0.73.

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  • references and citing sentences
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Remodelling is defined as an evolution of microstructure or variations in the configuration of the underlying manifold. The manner in which a biological tissue and its subsystems remodel their structure is treated in a continuum mechanical setting. While some examples of remodelling are conveniently modelled as evolution of the reference configuration (Case I), others are more suited to an internal variable description (Case II). In this paper we explore the applicability of stationary energy states to remodelled systems. A variational treatment is introduced by assuming that stationary energy states are attained by changes in microstructure via one of the two mechanisms--Cases I and II. An example is presented to illustrate each case. The example illustrating Case II is further studied in the context of the thermodynamic dissipation inequality.

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