Paper Citation Record · LEDGER

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability

As of 23 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 2 inbound Pith citation observations for arXiv:2607.03813.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.03813 v1

Coverage vector

measured 75 of 75 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-11T23:47:12.398346Z

measured 77 of 77 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T14:24:54.724459Z

measured 0 of 1 external citation measurements

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Source: cited_works

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75 of 75 outbound references displayed

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Outbound references

Observation 854f8fd7-09e0-43d8-9e4c-4c8a253359cd · outbound

This paper cites Measuring and modelling tumour heterogeneity across scales.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Measuring and modelling tumour heterogeneity across scales

Reference 1

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Observation b16c1b17-1daa-4e75-85cd-809848a58e85 · outbound

This paper cites Computational frameworks for modelling cancer across scales.Clinical and Translational Discovery, 5(6):e70093, 2025.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Computational frameworks for modelling cancer across scales.Clinical and Translational Discovery, 5(6):e70093, 2025

Reference 2

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Observation 13422653-c08f-423e-be07-18df37e31022 · outbound

This paper cites Molecular basis of cancer.Pathological Basis of Oral and Maxillofacial Diseases, pages 415–428, 2025.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Molecular basis of cancer.Pathological Basis of Oral and Maxillofacial Diseases, pages 415–428, 2025

Reference 3

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Observation 22a52507-51d6-4c2f-9d7d-f97fe46a7943 · outbound

This paper cites The role of the cell–cell interactions in cancer progression.Journal of cellular and molecular medicine, 19(2):283–296, 2015.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability The role of the cell–cell interactions in cancer progression.Journal of cellular and molecular medicine, 19(2):283–296, 2015

Reference 4

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Observation ff2be1f0-9185-4a25-a4e7-6bb8839e4618 · outbound

This paper cites The dynamic tumor ecm: Biophysical cues, cellular crosstalk, and disease progression.Current Opinion in Biomedical Engineering, page 100652, 2026.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability The dynamic tumor ecm: Biophysical cues, cellular crosstalk, and disease progression.Current Opinion in Biomedical Engineering, page 100652, 2026

Reference 5

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Observation da176586-5416-45b5-b385-1eeb394b9e93 · outbound

This paper cites Extracellular matrix in cancer progression and therapy.Medical Review, 2(2):125–139, 2022.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Extracellular matrix in cancer progression and therapy.Medical Review, 2(2):125–139, 2022

Reference 6

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Observation b2e89176-094e-4988-8a4f-4a1891a9691e · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Unresolved cited work

Reference 7

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Observation e31e653b-fcd7-4663-a986-26d91faea735 · outbound

This paper cites Inferenceonspatialheterogeneityintumormicroenvironmentusing spatial transcriptomics data.Computational and systems oncology, 2(3):e21043, 2022.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Inferenceonspatialheterogeneityintumormicroenvironmentusing spatial transcriptomics data.Computational and systems oncology, 2(3):e21043, 2022

Reference 8

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Observation 93189c81-041e-45a4-9ca2-b84c5de66063 · outbound

This paper cites Reaction-diffusion model as a framework for understanding biological pattern formation.science, 329(5999):1616–1620, 2010.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Reaction-diffusion model as a framework for understanding biological pattern formation.science, 329(5999):1616–1620, 2010

Reference 9

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Observation 0fb1d813-e6d0-4ef6-873f-828302234a3e · outbound

This paper cites How chemokines organize the tumour microenvironment.Nature Reviews Cancer, 24(1):28–50, 2024.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability How chemokines organize the tumour microenvironment.Nature Reviews Cancer, 24(1):28–50, 2024

Reference 10

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Observation 6b5fc939-6a7a-4afb-a970-1177ad099b23 · outbound

This paper cites Mathematicalmodellingofthespatio-temporalresponseofcytotoxic t-lymphocytes to a solid tumour.Mathematical Medicine and Biology, 21(1):1–34, 2004.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Mathematicalmodellingofthespatio-temporalresponseofcytotoxic t-lymphocytes to a solid tumour.Mathematical Medicine and Biology, 21(1):1–34, 2004

Reference 11

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Observation 3ea4c199-b325-42b1-abe0-add583dd64bb · outbound

This paper cites Globalsmoothsolutionsinachemotaxissystemmodelingimmuneresponsetoasolidtumor.Proceedings of the American Mathematical Society, 152(10):4325–4341, 2024.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Globalsmoothsolutionsinachemotaxissystemmodelingimmuneresponsetoasolidtumor.Proceedings of the American Mathematical Society, 152(10):4325–4341, 2024

Reference 12

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Observation bcf39fd6-4395-41b0-b813-672054d34491 · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Unresolved cited work

Reference 13

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Observation 9fcb92f4-c323-4e99-8a56-b29574cc5ba5 · outbound

This paper cites Globalboundednessofanndchemotactictumorimmuneevasionsystem.DiscreteandContinuousDynamical Systems-B, pages 0–0, 2026.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Globalboundednessofanndchemotactictumorimmuneevasionsystem.DiscreteandContinuousDynamical Systems-B, pages 0–0, 2026

Reference 14

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Observation 0e8e4042-8a28-4d99-9f57-fb62a1224e42 · outbound

This paper cites Reaction, diffusion and chemotaxis in wave propagation.Discrete Contin.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Reaction, diffusion and chemotaxis in wave propagation.Discrete Contin

Reference 15

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Observation cfae26a1-76ff-4517-8c25-00f373631fe7 · outbound

This paper cites Springer, 2022.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Springer, 2022

Reference 16

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Observation dea4ae9c-dda4-46f6-a9c6-e441f6aefc34 · outbound

This paper cites Chemotaxisandreactionsinbiology.JournaloftheEuropeanMathematical Society, 25(7):2641–2696, 2022.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Chemotaxisandreactionsinbiology.JournaloftheEuropeanMathematical Society, 25(7):2641–2696, 2022

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Observation 724c5de8-5dcb-48ac-ba2e-6f9f9835d7f2 · outbound

This paper cites Integrative mathematical oncology.Nature Reviews Cancer, 8(3):227–234, 2008.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Integrative mathematical oncology.Nature Reviews Cancer, 8(3):227–234, 2008

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Observation 460f3a63-e186-472d-8e74-b4c23e6c4b38 · outbound

This paper cites The mathematics of cancer: integrating quantitative models.Nature Reviews Cancer, 15(12):730–745, 2015.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability The mathematics of cancer: integrating quantitative models.Nature Reviews Cancer, 15(12):730–745, 2015

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Observation 683d3654-04c2-43ea-aeb4-22703b14214c · outbound

This paper cites From microscopic damage to macroscopic games: a dimensionality reduction of stem cell homeostasis.Transport Phenomena, 1(2):20260037, 2026.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability From microscopic damage to macroscopic games: a dimensionality reduction of stem cell homeostasis.Transport Phenomena, 1(2):20260037, 2026

Reference 20

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Observation c38dc43d-2fa9-48c1-9c28-1f2203a5fd6d · outbound

This paper cites Computationalapproaches to modelling and optimizing cancer treatment.Nature Reviews Bioengineering, 1(10):695–711, 2023.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Computationalapproaches to modelling and optimizing cancer treatment.Nature Reviews Bioengineering, 1(10):695–711, 2023

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Observation fcd2fcd0-3d6f-44fa-bbcc-5210244c2efc · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Unresolved cited work

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Observation 40c0eb09-9308-43cf-b512-230edf3a2650 · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability The 2019 mathematical oncology roadmap.Physical biology, 16(4):041005, 2019

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Observation f9cf4f0f-78c4-424a-b9d2-2e647b82fa65 · outbound

This paper cites A review of mechanistic learning in mathematical oncology.Frontiers in Immunology, 15:1363144, 2024.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability A review of mechanistic learning in mathematical oncology.Frontiers in Immunology, 15:1363144, 2024

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Observation 519b9003-10bd-4ec3-b2e2-7c87308e0dc0 · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Optimal harvesting for nonlinear size-structured populations with nonlocal environmental feedback.Mathematics, 14(11):2025, 2026

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Observation f3e19154-6b9d-43e8-9df6-bcd46d2de849 · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Unresolved cited work

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Observation 332f7fa1-d3ed-4bda-afcb-600a56c55d9f · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Radiation-induced lymphopenia: From mathematical modeling towards mechanistic learning.International Journal of Radiation Oncology* Biology* Physics, 2025

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Observation 9684ee7c-09ae-4a7d-a5ff-93cd9345d322 · outbound

This paper cites Mechanistic learning with guided diffusion models to predict spatio-temporal brain tumor growth.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Mechanistic learning with guided diffusion models to predict spatio-temporal brain tumor growth

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Observation 5d105e5a-3b95-42c3-be02-ae8d5cc9adef · outbound

This paper cites Multi-strategy hybrid improved intelligent algorithm for solving uav-mtsp.Information Technology and Control, 54(2):413–438, 2025.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Multi-strategy hybrid improved intelligent algorithm for solving uav-mtsp.Information Technology and Control, 54(2):413–438, 2025

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Observation 8413e5b1-856a-46c4-a9d7-df46bbc7ceae · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis.Bulletin of mathematical biology, 56(2):295–321, 1994

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Observation 55278a76-74d6-429d-b169-c998ad2a8db2 · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Modeling immunotherapy of the tumor–immune interaction.Journal of mathematical biology, 37(3):235–252, 1998

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This paper cites Amathematicaltumormodelwithimmuneresistanceanddrugtherapy:anoptimalcontrolapproach.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Amathematicaltumormodelwithimmuneresistanceanddrugtherapy:anoptimalcontrolapproach

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Observation 26e735cd-1a9a-44d1-b147-f0e2dccf4f5c · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Unresolved cited work

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Observation 89147620-fab6-45f4-9f59-6f03fe6a6622 · outbound

This paper cites Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance.PLoS One, 21(5):e0350127, 2026.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance.PLoS One, 21(5):e0350127, 2026

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Impactofmildhyperthermiaontumor-immune dynamics explored through mathematical modeling.Scientific Reports, 2025

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Observation 6f2a21e9-267f-4701-8d92-3b8283230d5d · outbound

This paper cites Rollingpredictionmodelofclosingpricebasedoneemddatanoisereductionandhgs-delm.

Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Rollingpredictionmodelofclosingpricebasedoneemddatanoisereductionandhgs-delm

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Observation c191fa6d-d74c-47dc-a37a-27bc4d7a1f27 · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Interactions between the immune system and cancer: a brief review of non-spatial mathematical models.Bulletin of mathematical biology, 73(1):2–32, 2011

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Rigorous analysis of a nonlocal transport–renewal system for physiologically structured populations.Mathematical Methods in the Applied Sciences, 2026

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Hybrid model of tumor growth, angiogenesis and immune response yields strategies to improve antiangiogenic therapy.npj Biological Physics and Mechanics, 1(1):4, 2024

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Continuous and discrete mathematical models of tumor-induced angiogenesis.Bulletin of mathematical biology, 60(5):857–899, 1998

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Observation 1afb09af-6db8-4e7e-b94f-960131b745df · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Animage-informedcahn–hilliardkeller–segelmultiphasefieldmodelfortumorgrowth with angiogenesis.Applied Mathematics and Computation, 445:127834, 2023

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Observation b66c4467-3faf-4c19-9376-b5a73ae21142 · outbound

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Thebreakdownoflinearquasi-cycles:Demographicnoiseandabsorbingboundaries in finite predator–prey systems.Electronic Research Archive, 34(6):4248–4289, 2026

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Mathematicalmodelsofavasculartumorgrowth.SIAMreview,49(2):179–208,2007

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Reaction-diffusion model for the growth of avascular tumor.Physical Review E, 65(2):021907, 2002

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Avasculargrowth,angiogenesisandvasculargrowthinsolidtumours:Themathematicalmodellingofthestagesoftumour development.Mathematical and computer modelling, 23(6):47–87, 1996

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Physicell: An open source physics-based cell simulator for 3-d multicellular systems.PLoS computational biology, 14(2):e1005991, 2018

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Heterogeneous tumour modeling using physicell and its implications in precision medicine

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Bidirectionalendothelialfeedbackdrivesturing-vascular patterning and drug-resistance niches: a hybrid pde-agent-based study.Bioengineering, 12(10):1097, 2025

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Extracellularmatrixstiffnessandtumor-associatedmacrophagepolarization: new fields affecting immune exclusion.Cancer Immunology, Immunotherapy, 73(6):115, 2024

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Algebraic–spectralthresholdsanddiscrete–continuousstabilitytransferinleslie–gowersystems.Electronic Research Archive, 34(1):251–290, 2026

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Cancer immune exclusion: breaking the barricade for a successful immunotherapy.Frontiers in Oncology, 13:1135456, 2023

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Analysis framework for stochastic predator–prey model with demographic noise.Results in Applied Mathematics, 27:100621, 2025

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability From 1970 until present: The keller-segel model in chemotaxis and its consequences

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Boundednessinaquasilinearparabolic–parabolickeller–segelsystemwithsubcriticalsensitivity.Journal of Differential Equations, 252(1):692–715, 2012

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability A damage-structured pde model of stem cell hierarchies: The dual role of dedifferentiation in tissue homeostasis and aging.Plos one, 21(2):e0335163, 2026

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Keller-segel chemotaxis models: a review.Acta Applicandae Mathematicae, 171(1):6, 2021

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems

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Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability Springer, 2003

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Multiplier Sensitivity in Isoperimetric Optimal Control Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability

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